CN112290567A - Three-phase power quality compensation device and method based on half-bridge converter - Google Patents

Three-phase power quality compensation device and method based on half-bridge converter Download PDF

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Publication number
CN112290567A
CN112290567A CN202011544707.0A CN202011544707A CN112290567A CN 112290567 A CN112290567 A CN 112290567A CN 202011544707 A CN202011544707 A CN 202011544707A CN 112290567 A CN112290567 A CN 112290567A
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phase
current
representing
component
reference value
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CN112290567B (en
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舒泽亮
杨江朋
张帅
冯润波
孟令辉
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Southwest Jiaotong University
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for ac mains or ac distribution networks
    • H02J3/26Arrangements for eliminating or reducing asymmetry in polyphase networks
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for ac mains or ac distribution networks
    • H02J3/01Arrangements for reducing harmonics or ripples
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for ac mains or ac distribution networks
    • H02J3/18Arrangements for adjusting, eliminating or compensating reactive power in networks
    • H02J3/1821Arrangements for adjusting, eliminating or compensating reactive power in networks using shunt compensators
    • H02J3/1835Arrangements for adjusting, eliminating or compensating reactive power in networks using shunt compensators with stepless control
    • H02J3/1842Arrangements for adjusting, eliminating or compensating reactive power in networks using shunt compensators with stepless control wherein at least one reactive element is actively controlled by a bridge converter, e.g. active filters
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02EREDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E40/00Technologies for an efficient electrical power generation, transmission or distribution
    • Y02E40/30Reactive power compensation
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02EREDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E40/00Technologies for an efficient electrical power generation, transmission or distribution
    • Y02E40/40Arrangements for reducing harmonics
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02EREDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E40/00Technologies for an efficient electrical power generation, transmission or distribution
    • Y02E40/50Arrangements for eliminating or reducing asymmetry in polyphase networks

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  • Engineering & Computer Science (AREA)
  • Power Engineering (AREA)
  • Supply And Distribution Of Alternating Current (AREA)
  • Control Of Electrical Variables (AREA)

Abstract

The invention discloses a three-phase power quality compensation device and method based on a half-bridge converter, wherein the device comprises a power grid
Figure 353311DEST_PATH_IMAGE001
Electric network
Figure 863052DEST_PATH_IMAGE002
Electric network
Figure 336759DEST_PATH_IMAGE003
Load, and method of operating the same
Figure DEST_PATH_IMAGE005A
Load, and method of operating the same
Figure DEST_PATH_IMAGE007A
Load, and method of operating the same
Figure DEST_PATH_IMAGE009A
Filter inductor
Figure 248128DEST_PATH_IMAGE010
Filter inductor
Figure 199903DEST_PATH_IMAGE011
Current sensor
Figure DEST_PATH_IMAGE013AA
And a support capacitor
Figure DEST_PATH_IMAGE015A
Switch tube
Figure DEST_PATH_IMAGE017A
And anti-parallel diode
Figure 100004_DEST_PATH_IMAGE019A
(ii) a Support capacitor
Figure 100004_DEST_PATH_IMAGE015AA
Switch tube
Figure 100004_DEST_PATH_IMAGE017AA
And anti-parallel diode
Figure 100004_DEST_PATH_IMAGE019AA
Forming a half-bridge converter. The invention adopts single-phase half-bridge back-to-back topology, reduces the number of switching tubes and current sensors and detects the three-phase load current in real time. The three-phase power quality compensation method of the invention adopts
Figure DEST_PATH_IMAGE020
The active component and reactive component reference values of the compensation current under the online voltage reference system are obtained through transformation and cross transformation, dq decoupling control is carried out on the compensation current under a rotating coordinate system, and no static error of current tracking can be achieved.

Description

Three-phase power quality compensation device and method based on half-bridge converter
Technical Field
The invention belongs to the technical field of electric energy compensation devices, and particularly relates to a three-phase electric energy quality compensation device and method based on a half-bridge converter.
Background
At present, most civil loads in a low-voltage distribution network in China are mainly single-phase loads, and due to randomness and fluctuation of power consumption of users, the problems of three-phase imbalance and reduction of power factors of the distribution network often occur. Imbalance of the three-phase system can cause the voltage and the current to contain a large amount of negative sequence and zero sequence components, and normal operation of electrical equipment is influenced. A reduction in power factor results in less capacity utilization of the equipment, increased line current, and increased losses. The current scheme of three-phase power quality compensation mainly comprises switching parallel capacitors and using a three-phase active power filter. The scheme of switching the capacitor is cheap, the principle is simple, but the reactive power can not be accurately compensated, the dynamic compensation can not be realized, and when the system has harmonic waves, parallel resonance can also occur. The three-phase active power filter generates specific compensation current through an internal inverter, and feeds the compensation current into a power grid to offset unbalanced current and reactive current on the side of the power grid. However, the three-phase active power filter needs to use more switching devices and current sensors, so that the cost is high, and because the target compensation current is an alternating current signal, a steady-state error occurs when transient current control is adopted, and good current tracking performance is difficult to realize.
Disclosure of Invention
The invention aims to solve the problem of three-phase power quality compensation and provides a three-phase power quality compensation device and method based on a half-bridge converter.
The technical scheme of the invention is as follows: a three-phase power quality compensation device based on a half-bridge converter comprises a power grid
Figure 100002_DEST_PATH_IMAGE002AAA
Electric network
Figure 100002_DEST_PATH_IMAGE004AAAA
Electric network
Figure 100002_DEST_PATH_IMAGE006AAAA
Load, and method of operating the same
Figure 697943DEST_PATH_IMAGE007
Load, and method of operating the same
Figure 673989DEST_PATH_IMAGE008
Load, and method of operating the same
Figure 542588DEST_PATH_IMAGE009
Filter inductor
Figure DEST_PATH_IMAGE011AAA
Filter inductor
Figure DEST_PATH_IMAGE013AAAAAAAAA
Current sensor
Figure DEST_PATH_IMAGE015AAAAA
And a support capacitor
Figure DEST_PATH_IMAGE017AAAAAAA
Switch tube
Figure DEST_PATH_IMAGE019AAAAAA
And anti-parallel diode
Figure DEST_PATH_IMAGE021AAAAAA
Electric network
Figure DEST_PATH_IMAGE023AAAAAA
Respectively with the filter inductor
Figure DEST_PATH_IMAGE025AAA
And a current sensor
Figure DEST_PATH_IMAGE027AAAAAAAA
Is connected with one end of the grid, and the negative electrode of the grid is respectively connected with the grid
Figure DEST_PATH_IMAGE029AAAAAA
Negative pole and electric network
Figure DEST_PATH_IMAGE031AAA
The negative electrode of (1) is connected; electric network
Figure 100002_DEST_PATH_IMAGE004AAAAA
Respectively with the filter inductor
Figure DEST_PATH_IMAGE013AAAAAAAAAA
And a current sensor
Figure 100002_DEST_PATH_IMAGE033AAAAA
Is connected with one end of the connecting rod; electric network
Figure 100002_DEST_PATH_IMAGE006AAAAA
Positive electrode and current sensor
Figure DEST_PATH_IMAGE035AAAAAAAA
Is connected with one end of the supporting capacitor, and the connection point of the supporting capacitor is connected with the supporting capacitor
Figure 200708DEST_PATH_IMAGE036
And a supporting capacitor
Figure 270295DEST_PATH_IMAGE037
Is connected with the connecting point connected with one end of the connecting rod; current sensor
Figure DEST_PATH_IMAGE027AAAAAAAAA
Another end and a load
Figure 890894DEST_PATH_IMAGE007
Is connected with one end of the connecting rod; current sensor
Figure DEST_PATH_IMAGE033AAAAAA
Another end and a load
Figure 32026DEST_PATH_IMAGE008
Is connected with one end of the connecting rod; current sensor
Figure DEST_PATH_IMAGE035AAAAAAAAA
Another end and a load
Figure 61161DEST_PATH_IMAGE009
Is connected with one end of the connecting rod; load(s)
Figure 662169DEST_PATH_IMAGE007
Respectively with the other end of the load
Figure 347229DEST_PATH_IMAGE008
Another end and a load
Figure 88789DEST_PATH_IMAGE009
The other end of the first and second connecting rods is connected; filter inductor
Figure DEST_PATH_IMAGE039AAAAAAAAAAAAAAAA
Another terminal and a current sensor
Figure DEST_PATH_IMAGE041AAAAAAAA
Is connected with one end of the connecting rod; filter inductor
Figure DEST_PATH_IMAGE043AAAAAAAAAAAAAAA
Another terminal and a current sensor
Figure DEST_PATH_IMAGE045AAAAA
Is connected with one end of the connecting rod; current sensor
Figure DEST_PATH_IMAGE041AAAAAAAAA
The other end of the switch tube is respectively connected with the switch tube
Figure 723163DEST_PATH_IMAGE046
Emitter, anti-parallel diode
Figure 993608DEST_PATH_IMAGE047
Anode and switch tube
Figure 900384DEST_PATH_IMAGE048
Collector and anti-parallel diode
Figure DEST_PATH_IMAGE050AAAAA
The negative electrode of (1) is connected; switch tube
Figure 884783DEST_PATH_IMAGE046
Respectively with anti-parallel diodes
Figure DEST_PATH_IMAGE050AAAAAA
Negative electrode and supporting capacitor
Figure 747565DEST_PATH_IMAGE036
Another end of (1), a switch tube
Figure 329856DEST_PATH_IMAGE051
Collector and anti-parallel diode
Figure DEST_PATH_IMAGE053AAA
The negative electrode of (1) is connected; current sensor
Figure DEST_PATH_IMAGE045AAAAAA
The other end of the switch tube is respectively connected with the switch tube
Figure 740240DEST_PATH_IMAGE051
Emitter, anti-parallel diode
Figure 100002_DEST_PATH_IMAGE055AAA
Anode and switch tube
Figure 495707DEST_PATH_IMAGE056
Collector and anti-parallel diode
Figure DEST_PATH_IMAGE058AAAAAAA
The negative electrode of (1) is connected; switch tube
Figure 619520DEST_PATH_IMAGE056
Respectively with anti-parallel diodes
Figure DEST_PATH_IMAGE060AAA
Positive electrode and supporting capacitor
Figure 61128DEST_PATH_IMAGE037
Another end of (1), a switch tube
Figure 676917DEST_PATH_IMAGE048
Emitter and anti-parallel diode
Figure DEST_PATH_IMAGE062AAA
The positive electrode of (1) is connected;
support capacitor
Figure DEST_PATH_IMAGE017AAAAAAAA
Switch tube
Figure DEST_PATH_IMAGE019AAAAAAA
And anti-parallel diode
Figure DEST_PATH_IMAGE021AAAAAAA
Forming a half-bridge converter; load(s)
Figure 455649DEST_PATH_IMAGE007
Load, and method of operating the same
Figure 230707DEST_PATH_IMAGE008
And a load
Figure 154800DEST_PATH_IMAGE009
Forming an unbalanced load;
current sensor
Figure DEST_PATH_IMAGE064AAAA
Are all used for measuring load current, current sensor
Figure DEST_PATH_IMAGE066AAA
And
Figure DEST_PATH_IMAGE068AAA
for measuring the compensation currents of the a-phase and the B-phase, respectively.
Based on the system, the invention also provides a three-phase power quality compensation method based on the half-bridge converter, which comprises the following steps:
s1: locking the phase of the network side voltage by using a phase-locked loop, and acquiring the phase of the three-phase network side voltage;
s2: according to the phase of the three-phase network side voltage, performing rotation coordinate conversion on the A-phase network side voltage, the three-phase load current and the compensation current to obtain an active component and a reactive component of the A-phase network side voltage, an active component and a reactive component of the three-phase load current and an active component and a reactive component of the compensation current;
s3: the active component and the reactive component of the three-phase load current, the active component and the reactive component of the compensating current and the active current for maintaining the stability of the direct current voltage are carried out
Figure DEST_PATH_IMAGE070AAA
Converting to obtain an active component reference value and a reactive component reference value of the compensation current under a phase voltage reference system;
s4: performing cross transformation on an active component reference value and a reactive component reference value of the compensation current in a phase voltage reference system to obtain an active component reference value and a reactive component reference value of the compensation current in a line voltage reference system;
s5: according to the active component and the reactive component of the A-phase network side voltage, carrying out dq decoupling control on the active component and the reactive component of the compensation current and an active component reference value and a reactive component reference value of the compensation current in an online voltage reference system to obtain the active component and the reactive component of a modulation signal of a half-bridge converter;
s6: carrying out inverse transformation of the rotation coordinate on the active component and the reactive component of the modulation signal of the half-bridge converter to obtain the modulation signal of the half-bridge converter;
s7: and performing PWM modulation on the modulation signal of the half-bridge converter to obtain a driving signal of a switching tube of the half-bridge converter, and completing three-phase power quality compensation based on the half-bridge converter.
The invention has the beneficial effects that: when the active balance and the reactive power of the three phases are zero, the active component and the reactive component of the network side current meet the expression of the step S2; to maintain the capacitance at the DC sideVoltage is stable, the closed-loop output of the direct-current side capacitor voltage is required to be used as active current for dynamic adjustment, and the active current is injected into compensation current to obtain an expression of a voltage ring; according to kirchhoff's current law and the condition that three-phase balance and reactive power are zero
Figure 652691DEST_PATH_IMAGE071
And (6) transforming. In the three-phase three-wire system circuit, the C-phase compensation current is the opposite number of the sum of the A-phase compensation current and the B-phase compensation current, so that only the A-phase compensation current and the B-phase compensation current need to be controlled, when the A-phase compensation current and the B-phase compensation current meet the formula in the step S32, the three-phase network side current is in a balanced state, and the power factor is 1; because the converter is connected with the network side line voltage, the compensation current is injected into the network side phase current, and 30-degree phase angle difference exists between phase lines, angle conversion is needed; the active component reference value and the reactive component reference value of the compensation current in the line voltage reference system are also actual compensation current reference values in the control system.
The invention provides a three-phase power quality compensation device based on a half-bridge converter, which adopts a single-phase half-bridge back-to-back topology, reduces the quantity of switching tubes and current sensors, detects three-phase load current in real time, and compared with the traditional parallel capacitor, the three-phase power quality compensation device can dynamically compensate reactive power, can also dynamically compensate active power imbalance and is not easy to generate resonance. Compared with the traditional three-phase active power filter, the three-phase active power filter has the advantages that two switching tubes and one current sensor can be reduced, the cost is reduced, and the economy is high. The three-phase power quality compensation method of the invention adopts
Figure 100002_DEST_PATH_IMAGE073AA
The active component and reactive component reference values of the compensation current under the online voltage reference system are obtained through transformation and cross transformation, dq decoupling control is performed on the compensation current under a rotating coordinate system, no static error can be realized in current tracking, good current tracking performance is achieved, three-phase imbalance and reactive dynamic compensation are realized, the method can be applied to diode clamping multilevel topology and Modular Multilevel (MMC) topology, and the method has strong applicability and ductility.
Further, in step S2, the formula for performing the rotation coordinate conversion on the a-phase grid-side voltage is:
Figure DEST_PATH_IMAGE075AAA
the formulas for performing rotation coordinate conversion on the A-phase load current and the compensation current are respectively as follows:
Figure DEST_PATH_IMAGE077AAA
wherein,
Figure DEST_PATH_IMAGE079AAA
representing the real component of the a-phase grid side voltage,
Figure DEST_PATH_IMAGE081AAA
the reactive component of the A phase network side voltage is shown, a second-order transformation matrix for performing rotation coordinate transformation on the A phase network side voltage is a P matrix,
Figure DEST_PATH_IMAGE023AAAAAAA
the voltage on the a-phase network side is shown,
Figure DEST_PATH_IMAGE083AAA
a virtual voltage representing a phase lag from the a-phase grid side voltage,
Figure DEST_PATH_IMAGE085AAA
representing the real component of the a-phase load current,
Figure DEST_PATH_IMAGE087AAA
representing the reactive component of the a-phase load current,
Figure DEST_PATH_IMAGE089AAA
the active component of the a-phase compensation current is represented,
Figure DEST_PATH_IMAGE091AAA
denotes A phase compensationThe reactive component of the current is the reactive component of the current,
Figure DEST_PATH_IMAGE093AAA
which represents the load current of the a-phase,
Figure DEST_PATH_IMAGE095AAA
representing a virtual current with a phase lagging the a-phase load ac,
Figure DEST_PATH_IMAGE097AAA
the a-phase compensation current is shown,
Figure DEST_PATH_IMAGE099AAAAA
a virtual current representing a phase lag from the a-phase compensation current,
Figure DEST_PATH_IMAGE101AAA
representing the grid angular frequency, t representing time;
the formulas for performing rotation coordinate conversion on the B-phase load current and the compensation current are respectively as follows:
Figure DEST_PATH_IMAGE103AAA
wherein,
Figure DEST_PATH_IMAGE105AAAAAA
representing the real component of the B-phase load current,
Figure DEST_PATH_IMAGE107AAA
representing the reactive component of the B-phase load current,
Figure 100002_DEST_PATH_IMAGE109AAA
the active component of the B-phase compensation current is represented,
Figure DEST_PATH_IMAGE111AAA
representing the reactive component of the B-phase compensation current,
Figure DEST_PATH_IMAGE113AAA
indicates that phase B is negativeThe current of the load is carried by the load,
Figure DEST_PATH_IMAGE115AAA
representing a virtual current with a phase lagging the B-phase load ac,
Figure DEST_PATH_IMAGE117AAA
the B-phase compensation current is shown,
Figure 100002_DEST_PATH_IMAGE119AAA
a virtual current representing a phase lag from the B-phase compensation current;
formulas for performing rotation coordinate conversion on the C-phase load current and the compensation current are respectively as follows:
Figure DEST_PATH_IMAGE121AAA
wherein,
Figure DEST_PATH_IMAGE123AAAAA
represents the real component of the C-phase load current,
Figure DEST_PATH_IMAGE125AAA
representing the reactive component of the C-phase load current,
Figure DEST_PATH_IMAGE127AAA
represents the real component of the C-phase compensation current,
Figure DEST_PATH_IMAGE129AAA
representing the reactive component of the C-phase compensation current,
Figure DEST_PATH_IMAGE131AAA
which represents the C-phase load current,
Figure DEST_PATH_IMAGE123AAAAAA
representing a virtual current with a phase lagging the C-phase load ac,
Figure DEST_PATH_IMAGE133AAA
represents a C phaseThe current is compensated for in such a way that,
Figure DEST_PATH_IMAGE135AAA
representing a virtual current that lags in phase the C-phase compensation current.
Further, in step S2, the real component and the reactive component of the three-phase grid-side current satisfy the expression:
Figure 659216DEST_PATH_IMAGE136
wherein,
Figure 429726DEST_PATH_IMAGE137
a reference value representing the active component of the a-phase grid side current,
Figure 649355DEST_PATH_IMAGE138
a reference value representing an active component of the B-phase grid-side current,
Figure 239736DEST_PATH_IMAGE139
a reference value representing the active component of the C-phase network side current,
Figure 343959DEST_PATH_IMAGE140
a reference value representing the reactive component of the a-phase grid side current,
Figure 595074DEST_PATH_IMAGE141
a reference value representing the reactive component of the B-phase network side current,
Figure 860970DEST_PATH_IMAGE142
a reference value representing the reactive component of the C-phase grid side current,
Figure DEST_PATH_IMAGE144AAAAA
representing the real component of the a-phase load current,
Figure DEST_PATH_IMAGE146AAAAA
representing the real component of the B-phase load current,
Figure DEST_PATH_IMAGE148AAAAA
representing the real component of the C-phase load current.
Further, step S3 includes the following sub-steps:
s31: injecting the closed-loop output of the DC side capacitor voltage into the compensation current to obtain the active current for maintaining the DC voltage stable
Figure DEST_PATH_IMAGE150AAAAA
S32: for active and reactive components of three-phase load current, active and reactive components of compensating current and active current for maintaining stable DC voltage
Figure DEST_PATH_IMAGE152AAAA
To carry out
Figure 141910DEST_PATH_IMAGE071
And transforming to obtain an active component reference value and a reactive component reference value of the compensation current under the phase voltage reference system.
Further, in step S31, the active current for maintaining the dc voltage stable
Figure DEST_PATH_IMAGE150AAAAAA
The calculation formula of (2) is as follows:
Figure 846560DEST_PATH_IMAGE153
wherein, S represents a complex frequency,
Figure DEST_PATH_IMAGE155AA
a first control parameter indicative of the voltage loop,
Figure DEST_PATH_IMAGE157AA
a second control parameter indicative of the voltage loop,
Figure 217761DEST_PATH_IMAGE158
parameter representing DC side voltageThe value of the reference is determined by the reference,
Figure DEST_PATH_IMAGE160AAAA
indicating the dc side voltage.
Further, in step S32, the active component and the reactive component of the a-phase load current, the active component and the reactive component of the compensation current, and the active current for maintaining the dc voltage stable are compared
Figure DEST_PATH_IMAGE162AAAAA
To carry out
Figure DEST_PATH_IMAGE164AAAAAA
The transformation formula is respectively:
Figure 608554DEST_PATH_IMAGE165
Figure 298161DEST_PATH_IMAGE166
for active component and reactive component of B-phase load current, active component and reactive component of compensation current and active current for maintaining stable DC voltage
Figure DEST_PATH_IMAGE168AAA
To carry out
Figure DEST_PATH_IMAGE164AAAAAAA
The transformation formula is respectively:
Figure 868819DEST_PATH_IMAGE169
wherein,
Figure 94527DEST_PATH_IMAGE170
the active component reference value of the A-phase compensation current under the phase voltage reference system is shown,
Figure 702226DEST_PATH_IMAGE171
the reference value of the reactive component of the A-phase compensation current under the phase voltage reference system is shown,
Figure 613550DEST_PATH_IMAGE172
the active component reference value of the B-phase compensation current under the phase voltage reference system is shown,
Figure 863266DEST_PATH_IMAGE173
the reference value of the reactive component of the B-phase compensation current under the phase voltage reference system is shown,
Figure DEST_PATH_IMAGE175AAAA
representing the real component of the a-phase load current,
Figure DEST_PATH_IMAGE177AAAAA
representing the real component of the B-phase load current,
Figure DEST_PATH_IMAGE179AAAAAAA
represents the real component of the C-phase load current,
Figure DEST_PATH_IMAGE181AAAAA
representing the reactive component of the a-phase load current,
Figure DEST_PATH_IMAGE183AAAAA
a reactive component representing a B-phase load current;
in step S32, according to kirchhoff' S current law, the expressions that the real component reference value and the reactive component reference value of the grid-side current, the real component and the reactive component of the load current, and the real component reference value and the reactive component reference value of the compensation current satisfy under the phase voltage reference system are:
Figure 396009DEST_PATH_IMAGE184
wherein,
Figure 440189DEST_PATH_IMAGE137
represents the A phase network sideThe reference value of the active component of the current,
Figure 838809DEST_PATH_IMAGE138
a reference value representing an active component of the B-phase grid-side current,
Figure 361057DEST_PATH_IMAGE139
a reference value representing the active component of the C-phase network side current,
Figure 284059DEST_PATH_IMAGE140
a reference value representing the reactive component of the a-phase grid side current,
Figure 233560DEST_PATH_IMAGE141
a reference value representing the reactive component of the B-phase network side current,
Figure 385056DEST_PATH_IMAGE142
a reference value representing the reactive component of the C-phase grid side current,
Figure DEST_PATH_IMAGE186AAA
representing the real component of the a-phase load current,
Figure DEST_PATH_IMAGE188AAA
representing the real component of the B-phase load current,
Figure DEST_PATH_IMAGE190AAA
represents the real component of the C-phase load current,
Figure DEST_PATH_IMAGE192AAA
representing the reactive component of the a-phase load current,
Figure DEST_PATH_IMAGE194AAA
representing the reactive component of the B-phase load current,
Figure DEST_PATH_IMAGE196AAA
representing the reactive component of the C-phase load current,
Figure 851940DEST_PATH_IMAGE197
the active component reference value of the C-phase compensation current under the phase voltage reference system is shown,
Figure 280647DEST_PATH_IMAGE198
and the reactive component reference value of the C-phase compensation current under a phase voltage reference system is shown.
Further, the formulas for performing cross transformation on the active component reference value and the reactive component reference value of the a-phase compensation current in the phase voltage reference system are respectively as follows:
Figure 27149DEST_PATH_IMAGE199
the formulas for performing cross transformation on the active component reference value and the reactive component reference value of the B-phase compensation current in the phase voltage reference system are respectively as follows:
Figure 275728DEST_PATH_IMAGE200
wherein,
Figure 529991DEST_PATH_IMAGE201
the active component reference value of the A-phase compensation current under a line voltage reference system is shown,
Figure 813205DEST_PATH_IMAGE202
the reference value of the reactive component of the A-phase compensation current under a line voltage reference system is shown,
Figure 229143DEST_PATH_IMAGE203
the active component reference value of the B-phase compensation current under a line voltage reference system is shown,
Figure 965018DEST_PATH_IMAGE204
the reference value of the reactive component of the B-phase compensation current in a line voltage reference system is shown,
Figure 757393DEST_PATH_IMAGE170
is represented by AThe active component reference value of the phase compensation current under the phase voltage reference system,
Figure 895114DEST_PATH_IMAGE171
the reference value of the reactive component of the A-phase compensation current under the phase voltage reference system is shown,
Figure 622898DEST_PATH_IMAGE172
the active component reference value of the B-phase compensation current under the phase voltage reference system is shown,
Figure 472168DEST_PATH_IMAGE173
and the reactive component reference value of the B-phase compensation current under a phase voltage reference system is shown.
Further, in step S5, the formula for dq decoupling control on phase a is:
Figure 943600DEST_PATH_IMAGE205
the formula for dq decoupling control of phase B is as follows:
Figure 326040DEST_PATH_IMAGE206
wherein,
Figure DEST_PATH_IMAGE208AAA
representing the real component of the a-phase modulated signal,
Figure DEST_PATH_IMAGE210AAAA
representing the real component of the B-phase modulated signal,
Figure DEST_PATH_IMAGE212AAA
representing the reactive component of the a-phase modulated signal,
Figure DEST_PATH_IMAGE214AAA
representing the reactive component of the B-phase modulated signal,
Figure DEST_PATH_IMAGE216AAA
a third control parameter representing a current loop,
Figure DEST_PATH_IMAGE218AAA
a fourth control parameter representing a current loop,
Figure DEST_PATH_IMAGE220AAA
representing the real component of the a-phase grid side voltage,
Figure DEST_PATH_IMAGE222AAA
representing the reactive component of the a-phase grid side voltage, S the complex frequency,
Figure 991770DEST_PATH_IMAGE201
the active component reference value of the A-phase compensation current under a line voltage reference system is shown,
Figure 702237DEST_PATH_IMAGE203
the active component reference value of the B-phase compensation current under a line voltage reference system is shown,
Figure 836415DEST_PATH_IMAGE202
the reference value of the reactive component of the A-phase compensation current under a line voltage reference system is shown,
Figure 948728DEST_PATH_IMAGE204
the reference value of the reactive component of the B-phase compensation current in a line voltage reference system is shown,
Figure DEST_PATH_IMAGE224AAA
the active component of the a-phase compensation current is represented,
Figure DEST_PATH_IMAGE226AAA
the active component of the B-phase compensation current is represented,
Figure DEST_PATH_IMAGE228AAA
representing the reactive component of the a-phase compensation current,
Figure DEST_PATH_IMAGE230AAA
representing the reactive component of the B-phase compensation current,
Figure DEST_PATH_IMAGE232AAA
which represents the angular frequency of the power grid,
Figure DEST_PATH_IMAGE234AAA
the a-phase filter inductance is shown,
Figure DEST_PATH_IMAGE236AAA
representing the B-phase filter inductance.
Further, the formula for performing inverse rotational coordinate transformation on the active component and the reactive component of the a-phase modulation signal is as follows:
Figure DEST_PATH_IMAGE238AAA
the formula for performing inverse transformation of the rotation coordinate on the active component and the reactive component of the B-phase modulation signal is as follows:
Figure DEST_PATH_IMAGE240AAA
wherein,
Figure 847676DEST_PATH_IMAGE241
represents the modulation signal of the A-phase switch tube,
Figure DEST_PATH_IMAGE243AAAAA
represents the modulation signal of the B-phase switch tube,
Figure DEST_PATH_IMAGE245AAAA
a virtual signal representing the constructed hysteretic a-phase switch tube modulated signal,
Figure DEST_PATH_IMAGE247AAAA
a virtual signal representing the constructed hysteretic B-phase switch tube modulation signal,
Figure DEST_PATH_IMAGE249AAAA
representing the real component of the a-phase modulated signal,
Figure DEST_PATH_IMAGE251AAAA
representing the real component of the B-phase modulated signal,
Figure DEST_PATH_IMAGE253AAAA
representing the reactive component of the a-phase modulated signal,
Figure DEST_PATH_IMAGE255AAAA
representing the reactive component of the B-phase modulated signal,
Figure DEST_PATH_IMAGE257AAAA
a second-order transformation matrix representing the angular frequency of the power grid, t representing time, and performing inverse transformation of the rotation coordinate on the active component and the reactive component of the modulation signal of the half-bridge converter is
Figure DEST_PATH_IMAGE259AAAA
And (4) matrix.
Drawings
Fig. 1 is a structural view of a three-phase power quality compensating apparatus;
FIG. 2 is a flow chart of a three-phase power quality compensation method;
fig. 3 is a diagram of a grid side voltage waveform and three phase grid side current waveforms before and after compensation.
Detailed Description
The embodiments of the present invention will be further described with reference to the accompanying drawings.
As shown in FIG. 1, the invention provides a three-phase power quality compensation based on a half-bridge converter, which comprises a power grid
Figure DEST_PATH_IMAGE261AAAAA
Electric network
Figure DEST_PATH_IMAGE263AAAAAA
Electric network
Figure DEST_PATH_IMAGE265AAAAAA
Load, and method of operating the same
Figure 106093DEST_PATH_IMAGE007
Load, and method of operating the same
Figure 919328DEST_PATH_IMAGE008
Load, and method of operating the same
Figure 246666DEST_PATH_IMAGE009
Filter inductor
Figure DEST_PATH_IMAGE267AAAAA
Filter inductor
Figure DEST_PATH_IMAGE269AAAAA
Current sensor
Figure DEST_PATH_IMAGE015AAAAAA
And a support capacitor
Figure DEST_PATH_IMAGE017AAAAAAAAA
Switch tube
Figure DEST_PATH_IMAGE019AAAAAAAA
And anti-parallel diode
Figure DEST_PATH_IMAGE021AAAAAAAA
Electric network
Figure DEST_PATH_IMAGE261AAAAAA
Respectively with the filter inductor
Figure DEST_PATH_IMAGE267AAAAAA
And a current sensor
Figure DEST_PATH_IMAGE271AAAA
Is connected with one end of the grid, and the negative electrode of the grid is respectively connected with the grid
Figure DEST_PATH_IMAGE263AAAAAAA
Negative pole and electric network
Figure DEST_PATH_IMAGE265AAAAAAA
The negative electrode of (1) is connected; electric network
Figure DEST_PATH_IMAGE263AAAAAAAA
Respectively with the filter inductor
Figure DEST_PATH_IMAGE269AAAAAA
And a current sensor
Figure DEST_PATH_IMAGE273AAAA
Is connected with one end of the connecting rod; electric network
Figure DEST_PATH_IMAGE265AAAAAAAA
Positive electrode and current sensor
Figure DEST_PATH_IMAGE275AAAA
Is connected with one end of the supporting capacitor, and the connection point of the supporting capacitor is connected with the supporting capacitor
Figure 926303DEST_PATH_IMAGE036
And a supporting capacitor
Figure 611362DEST_PATH_IMAGE037
Is connected with the connecting point connected with one end of the connecting rod; current sensor
Figure DEST_PATH_IMAGE277AAA
Another end and a load
Figure 651124DEST_PATH_IMAGE007
Is connected with one end of the connecting rod; current sensor
Figure DEST_PATH_IMAGE279AAA
Another end and a load
Figure 800346DEST_PATH_IMAGE008
Is connected with one end of the connecting rod; current sensor
Figure DEST_PATH_IMAGE281AAA
Another end and a load
Figure 888433DEST_PATH_IMAGE009
Is connected with one end of the connecting rod; load(s)
Figure 795209DEST_PATH_IMAGE007
Respectively with the other end of the load
Figure 74880DEST_PATH_IMAGE008
Another end and a load
Figure 16292DEST_PATH_IMAGE009
The other end of the first and second connecting rods is connected; filter inductor
Figure DEST_PATH_IMAGE039AAAAAAAAAAAAAAAAA
Another terminal and a current sensor
Figure DEST_PATH_IMAGE283AAAA
Is connected with one end of the connecting rod; filter inductor
Figure DEST_PATH_IMAGE043AAAAAAAAAAAAAAAA
Another terminal and a current sensor
Figure DEST_PATH_IMAGE285AAAA
Is connected with one end of the connecting rod; current sensor
Figure DEST_PATH_IMAGE283AAAAA
The other end of the switch tube is respectively connected with the switch tube
Figure 411632DEST_PATH_IMAGE046
Emitter, anti-parallel diode
Figure DEST_PATH_IMAGE287AAAAA
Anode and switch tube
Figure 494120DEST_PATH_IMAGE048
Collector and anti-parallel diode
Figure DEST_PATH_IMAGE287AAAAAA
The negative electrode of (1) is connected; switch tube
Figure 515165DEST_PATH_IMAGE046
Respectively with anti-parallel diodes
Figure DEST_PATH_IMAGE287AAAAAAA
Negative electrode and supporting capacitor
Figure 498034DEST_PATH_IMAGE036
Another end of (1), a switch tube
Figure 985647DEST_PATH_IMAGE051
Collector and anti-parallel diode
Figure DEST_PATH_IMAGE289AAAA
The negative electrode of (1) is connected; current sensor
Figure DEST_PATH_IMAGE285AAAAA
The other end of the switch tube is respectively connected with the switch tube
Figure 758693DEST_PATH_IMAGE051
Emitter, anti-parallel diode
Figure DEST_PATH_IMAGE289AAAAA
Anode and switch tube
Figure 442484DEST_PATH_IMAGE056
Collector and anti-parallel diode
Figure DEST_PATH_IMAGE291AAA
The negative electrode of (1) is connected; switch tube
Figure 922269DEST_PATH_IMAGE056
Respectively with anti-parallel diodes
Figure DEST_PATH_IMAGE293AAA
Positive electrode and supporting capacitor
Figure 174259DEST_PATH_IMAGE037
Another end of (1), a switch tube
Figure 401978DEST_PATH_IMAGE048
Emitter and anti-parallel diode
Figure DEST_PATH_IMAGE295AAA
The positive electrode of (1) is connected;
support capacitor
Figure DEST_PATH_IMAGE017AAAAAAAAAA
Switch tube
Figure DEST_PATH_IMAGE019AAAAAAAAA
And anti-parallel diode
Figure DEST_PATH_IMAGE021AAAAAAAAA
Forming a half-bridge converter; load(s)
Figure 453242DEST_PATH_IMAGE007
Load, and method of operating the same
Figure 489331DEST_PATH_IMAGE008
And a load
Figure 708960DEST_PATH_IMAGE009
Forming an unbalanced load;
current sensor
Figure DEST_PATH_IMAGE064AAAAA
Are all used for measuring load current, current sensor
Figure DEST_PATH_IMAGE297AAA
And
Figure DEST_PATH_IMAGE299AAA
for measuring the compensation currents of the a-phase and the B-phase, respectively.
In an embodiment of the present invention, as shown in figure 1,
Figure 253336DEST_PATH_IMAGE300
point is electric network
Figure DEST_PATH_IMAGE261AAAAAAA
Positive electrode and current sensor
Figure DEST_PATH_IMAGE271AAAAA
And a phase filter inductor
Figure DEST_PATH_IMAGE267AAAAAAA
Output terminal connection
Figure 45974DEST_PATH_IMAGE300
Point;
Figure 795624DEST_PATH_IMAGE301
point is electric network
Figure DEST_PATH_IMAGE263AAAAAAAAA
Positive electrode and current sensor
Figure DEST_PATH_IMAGE273AAAAA
And a B-phase filter inductor
Figure DEST_PATH_IMAGE269AAAAAAA
Output terminal connection
Figure 27233DEST_PATH_IMAGE301
Point;
Figure 370490DEST_PATH_IMAGE302
point is electric network
Figure DEST_PATH_IMAGE265AAAAAAAAA
Positive electrode and current sensor
Figure DEST_PATH_IMAGE275AAAAA
And the DC side upper and lower support capacitors
Figure DEST_PATH_IMAGE017AAAAAAAAAAA
Is connected to
Figure 825873DEST_PATH_IMAGE302
And (4) point.
Based on the above system, the present invention further provides a three-phase power quality compensation method based on a half-bridge converter, as shown in fig. 2, including the following steps:
s1: locking the phase of the network side voltage by using a phase-locked loop, and acquiring the phase of the three-phase network side voltage;
s2: according to the phase of the three-phase network side voltage, performing rotation coordinate conversion on the A-phase network side voltage, the three-phase load current and the compensation current to obtain an active component and a reactive component of the A-phase network side voltage, an active component and a reactive component of the three-phase load current and an active component and a reactive component of the compensation current;
s3: the active component and the reactive component of the three-phase load current, the active component and the reactive component of the compensating current and the active current for maintaining the stability of the direct current voltage are carried out
Figure DEST_PATH_IMAGE304AAA
Converting to obtain an active component reference value and a reactive component reference value of the compensation current under a phase voltage reference system;
s4: performing cross transformation on an active component reference value and a reactive component reference value of the compensation current in a phase voltage reference system to obtain an active component reference value and a reactive component reference value of the compensation current in a line voltage reference system;
s5: according to the active component and the reactive component of the A-phase network side voltage, carrying out dq decoupling control on the active component and the reactive component of the compensation current and an active component reference value and a reactive component reference value of the compensation current in an online voltage reference system to obtain the active component and the reactive component of a modulation signal of a half-bridge converter;
s6: carrying out inverse transformation of the rotation coordinate on the active component and the reactive component of the modulation signal of the half-bridge converter to obtain the modulation signal of the half-bridge converter;
s7: and performing PWM modulation on the modulation signal of the half-bridge converter to obtain a driving signal of a switching tube of the half-bridge converter, and completing three-phase power quality compensation based on the half-bridge converter.
In the embodiment of the present invention, as shown in fig. 2, in step S2, the formula for performing rotation coordinate conversion on the a-phase grid-side voltage is as follows:
Figure DEST_PATH_IMAGE075AAAA
the formulas for performing rotation coordinate conversion on the A-phase load current and the compensation current are respectively as follows:
Figure DEST_PATH_IMAGE077AAAA
wherein,
Figure DEST_PATH_IMAGE079AAAA
representing the real component of the a-phase grid side voltage,
Figure DEST_PATH_IMAGE081AAAA
the reactive component of the A phase network side voltage is shown, a second-order transformation matrix for performing rotation coordinate transformation on the A phase network side voltage is a P matrix,
Figure DEST_PATH_IMAGE023AAAAAAAA
the voltage on the a-phase network side is shown,
Figure DEST_PATH_IMAGE083AAAA
a virtual voltage representing a phase lag from the a-phase grid side voltage,
Figure DEST_PATH_IMAGE085AAAA
representing the real component of the a-phase load current,
Figure DEST_PATH_IMAGE087AAAA
representing the reactive component of the a-phase load current,
Figure DEST_PATH_IMAGE089AAAA
representing the active component of the A-phase compensation current,
Figure DEST_PATH_IMAGE091AAAA
Representing the reactive component of the a-phase compensation current,
Figure DEST_PATH_IMAGE093AAAA
which represents the load current of the a-phase,
Figure DEST_PATH_IMAGE095AAAA
representing a virtual current with a phase lagging the a-phase load ac,
Figure DEST_PATH_IMAGE097AAAA
the a-phase compensation current is shown,
Figure DEST_PATH_IMAGE099AAAAAA
a virtual current representing a phase lag from the a-phase compensation current,
Figure DEST_PATH_IMAGE101AAAA
representing the grid angular frequency, t representing time;
the formulas for performing rotation coordinate conversion on the B-phase load current and the compensation current are respectively as follows:
Figure DEST_PATH_IMAGE103AAAA
wherein,
Figure DEST_PATH_IMAGE105AAAAAAA
representing the real component of the B-phase load current,
Figure DEST_PATH_IMAGE107AAAA
representing the reactive component of the B-phase load current,
Figure DEST_PATH_IMAGE109AAAA
the active component of the B-phase compensation current is represented,
Figure DEST_PATH_IMAGE111AAAA
reactive for representing B-phase compensation currentThe components of the first and second images are,
Figure DEST_PATH_IMAGE113AAAA
which represents the load current of the B-phase,
Figure DEST_PATH_IMAGE115AAAA
representing a virtual current with a phase lagging the B-phase load ac,
Figure DEST_PATH_IMAGE117AAAA
the B-phase compensation current is shown,
Figure DEST_PATH_IMAGE119AAAA
a virtual current representing a phase lag from the B-phase compensation current;
formulas for performing rotation coordinate conversion on the C-phase load current and the compensation current are respectively as follows:
Figure DEST_PATH_IMAGE121AAAA
wherein,
Figure DEST_PATH_IMAGE123AAAAAAA
represents the real component of the C-phase load current,
Figure DEST_PATH_IMAGE125AAAA
representing the reactive component of the C-phase load current,
Figure DEST_PATH_IMAGE127AAAA
represents the real component of the C-phase compensation current,
Figure DEST_PATH_IMAGE129AAAA
representing the reactive component of the C-phase compensation current,
Figure DEST_PATH_IMAGE131AAAA
which represents the C-phase load current,
Figure DEST_PATH_IMAGE123AAAAAAAA
indicating phase lag behind C-phase load ACThe virtual current of (a) is calculated,
Figure DEST_PATH_IMAGE133AAAA
which represents the compensation current of the C-phase,
Figure DEST_PATH_IMAGE135AAAA
representing a virtual current that lags in phase the C-phase compensation current.
In the embodiment of the present invention, as shown in fig. 2, in step S2, the real component and the reactive component of the three-phase grid-side current satisfy the following expression:
Figure 581428DEST_PATH_IMAGE136
wherein,
Figure 283805DEST_PATH_IMAGE137
a reference value representing the active component of the a-phase grid side current,
Figure 848778DEST_PATH_IMAGE138
a reference value representing an active component of the B-phase grid-side current,
Figure 153857DEST_PATH_IMAGE139
a reference value representing the active component of the C-phase network side current,
Figure 753466DEST_PATH_IMAGE140
a reference value representing the reactive component of the a-phase grid side current,
Figure 220219DEST_PATH_IMAGE141
a reference value representing the reactive component of the B-phase network side current,
Figure 538068DEST_PATH_IMAGE142
a reference value representing the reactive component of the C-phase grid side current,
Figure DEST_PATH_IMAGE144AAAAAA
representing the real component of the a-phase load current,
Figure DEST_PATH_IMAGE146AAAAAA
representing the real component of the B-phase load current,
Figure DEST_PATH_IMAGE148AAAAAA
representing the real component of the C-phase load current.
In the invention, when the active balance and the reactive of the three phases are zero, the active component and the reactive component of the network side current meet the expression.
In the embodiment of the present invention, as shown in fig. 2, step S3 includes the following sub-steps:
s31: injecting the closed-loop output of the DC side capacitor voltage into the compensation current to obtain the active current for maintaining the DC voltage stable
Figure 476200DEST_PATH_IMAGE305
S32: for active and reactive components of three-phase load current, active and reactive components of compensating current and active current for maintaining stable DC voltage
Figure DEST_PATH_IMAGE307A
To carry out
Figure DEST_PATH_IMAGE309A
And transforming to obtain an active component reference value and a reactive component reference value of the compensation current under the phase voltage reference system.
In the embodiment of the present invention, as shown in fig. 2, in step S31, the active current for maintaining the dc voltage stable is
Figure DEST_PATH_IMAGE311A
The calculation formula of (2) is as follows:
Figure 743364DEST_PATH_IMAGE153
wherein, S represents a complex frequency,
Figure DEST_PATH_IMAGE313A
a first control parameter indicative of the voltage loop,
Figure DEST_PATH_IMAGE315A
a second control parameter indicative of the voltage loop,
Figure 413642DEST_PATH_IMAGE158
a reference value representing the voltage on the dc side,
Figure DEST_PATH_IMAGE317A
indicating the dc side voltage.
In order to maintain the stability of the dc-side capacitor voltage, the closed-loop output of the dc-side capacitor voltage needs to be injected into the compensation current as an active current for dynamic adjustment, so as to obtain an expression of the voltage loop.
In the embodiment of the present invention, as shown in fig. 2, in step S32, the active component and the reactive component of the a-phase load current, the active component and the reactive component of the compensation current and the active current for maintaining the dc voltage stable are compared
Figure DEST_PATH_IMAGE162AAAAAA
To carry out
Figure DEST_PATH_IMAGE164AAAAAAAA
The transformation formula is respectively:
Figure 140158DEST_PATH_IMAGE165
Figure 554085DEST_PATH_IMAGE166
for active component and reactive component of B-phase load current, active component and reactive component of compensation current and active current for maintaining stable DC voltage
Figure DEST_PATH_IMAGE168AAAA
To carry out
Figure DEST_PATH_IMAGE164AAAAAAAAA
The transformation formula is respectively:
Figure 252919DEST_PATH_IMAGE169
wherein,
Figure 202421DEST_PATH_IMAGE170
the active component reference value of the A-phase compensation current under the phase voltage reference system is shown,
Figure 353916DEST_PATH_IMAGE171
the reference value of the reactive component of the A-phase compensation current under the phase voltage reference system is shown,
Figure 414276DEST_PATH_IMAGE172
the active component reference value of the B-phase compensation current under the phase voltage reference system is shown,
Figure 203503DEST_PATH_IMAGE173
the reference value of the reactive component of the B-phase compensation current under the phase voltage reference system is shown,
Figure DEST_PATH_IMAGE175AAAAA
representing the real component of the a-phase load current,
Figure DEST_PATH_IMAGE177AAAAAA
representing the real component of the B-phase load current,
Figure DEST_PATH_IMAGE179AAAAAAAA
represents the real component of the C-phase load current,
Figure DEST_PATH_IMAGE181AAAAAA
representing the reactive component of the a-phase load current,
Figure DEST_PATH_IMAGE183AAAAAA
a reactive component representing a B-phase load current;
in step S32, according to kirchhoff' S current law, the expressions that the real component reference value and the reactive component reference value of the grid-side current, the real component and the reactive component of the load current, and the real component reference value and the reactive component reference value of the compensation current satisfy in the phase voltage reference system are:
Figure 273307DEST_PATH_IMAGE184
wherein,
Figure 787465DEST_PATH_IMAGE137
a reference value representing the active component of the a-phase grid side current,
Figure 510571DEST_PATH_IMAGE138
a reference value representing an active component of the B-phase grid-side current,
Figure 59364DEST_PATH_IMAGE139
a reference value representing the active component of the C-phase network side current,
Figure 350668DEST_PATH_IMAGE140
a reference value representing the reactive component of the a-phase grid side current,
Figure 712641DEST_PATH_IMAGE141
a reference value representing the reactive component of the B-phase network side current,
Figure 380383DEST_PATH_IMAGE142
a reference value representing the reactive component of the C-phase grid side current,
Figure DEST_PATH_IMAGE186AAAA
representing the real component of the a-phase load current,
Figure DEST_PATH_IMAGE188AAAA
representing the real component of the B-phase load current,
Figure DEST_PATH_IMAGE190AAAA
represents the real component of the C-phase load current,
Figure DEST_PATH_IMAGE192AAAA
representing the reactive component of the a-phase load current,
Figure DEST_PATH_IMAGE194AAAA
representing the reactive component of the B-phase load current,
Figure DEST_PATH_IMAGE196AAAA
representing the reactive component of the C-phase load current,
Figure 924628DEST_PATH_IMAGE197
the active component reference value of the C-phase compensation current under the phase voltage reference system is shown,
Figure 511467DEST_PATH_IMAGE198
and the reactive component reference value of the C-phase compensation current under a phase voltage reference system is shown.
In the invention, the method is carried out according to kirchhoff current law and the conditions of three-phase balance and zero reactive power
Figure DEST_PATH_IMAGE319AA
And (6) transforming. In the three-phase three-wire system circuit, the C-phase compensation current is the opposite number of the sum of the A-phase compensation current and the B-phase compensation current, so that only the A-phase compensation current and the B-phase compensation current need to be controlled. When the a-phase and B-phase compensation currents satisfy the formula in step S32, the three-phase grid-side currents will be in a balanced state, and the power factor is 1. The relation between the reference value of the active and reactive components of the compensation current under the phase voltage reference system and the active and reactive components of the load current and the active current for maintaining the stability of the direct current voltage is expressed as a four-row six-column matrix multiplication operation which is called as
Figure DEST_PATH_IMAGE319AAA
And transforming, wherein the expression is as follows:
Figure 360737DEST_PATH_IMAGE320
in the embodiment of the present invention, as shown in fig. 2, in step S4, the formulas for performing cross transformation on the active component reference value and the reactive component reference value of the a-phase compensation current in the phase voltage reference system are respectively:
Figure 956803DEST_PATH_IMAGE199
the formulas for performing cross transformation on the active component reference value and the reactive component reference value of the B-phase compensation current in the phase voltage reference system are respectively as follows:
Figure 949030DEST_PATH_IMAGE200
wherein,
Figure 972350DEST_PATH_IMAGE201
the active component reference value of the A-phase compensation current under a line voltage reference system is shown,
Figure 682817DEST_PATH_IMAGE202
the reference value of the reactive component of the A-phase compensation current under a line voltage reference system is shown,
Figure 692361DEST_PATH_IMAGE203
the active component reference value of the B-phase compensation current under a line voltage reference system is shown,
Figure 430772DEST_PATH_IMAGE204
the reference value of the reactive component of the B-phase compensation current in a line voltage reference system is shown,
Figure 234780DEST_PATH_IMAGE170
the active component reference value of the A-phase compensation current under the phase voltage reference system is shown,
Figure 557177DEST_PATH_IMAGE171
denotes A phase compensationThe reactive component reference value of the current under the phase voltage reference system,
Figure 370412DEST_PATH_IMAGE172
the active component reference value of the B-phase compensation current under the phase voltage reference system is shown,
Figure 461865DEST_PATH_IMAGE173
and the reactive component reference value of the B-phase compensation current under a phase voltage reference system is shown.
In the invention, because the converter is connected with the network side line voltage, the compensation current is injected into the network side phase current, and the phase angle difference of 30 degrees exists between the phase lines, the angle conversion is needed. The active component reference value and the reactive component reference value of the compensation current in the line voltage reference system are also actual compensation current reference values in the control system.
In the embodiment of the present invention, as shown in fig. 2, in step S5, the formula for dq decoupling control on phase a is as follows:
Figure 702353DEST_PATH_IMAGE205
the formula for dq decoupling control of phase B is as follows:
Figure DEST_PATH_IMAGE321
wherein,
Figure DEST_PATH_IMAGE208AAAA
representing the real component of the a-phase modulated signal,
Figure DEST_PATH_IMAGE210AAAAA
representing the real component of the B-phase modulated signal,
Figure DEST_PATH_IMAGE212AAAA
representing the reactive component of the a-phase modulated signal,
Figure DEST_PATH_IMAGE214AAAA
representing the reactive component of the B-phase modulated signal,
Figure DEST_PATH_IMAGE216AAAA
a third control parameter representing a current loop,
Figure DEST_PATH_IMAGE218AAAA
a fourth control parameter representing a current loop,
Figure DEST_PATH_IMAGE220AAAA
representing the real component of the a-phase grid side voltage,
Figure DEST_PATH_IMAGE222AAAA
representing the reactive component of the a-phase grid side voltage, S the complex frequency,
Figure 888877DEST_PATH_IMAGE201
the active component reference value of the A-phase compensation current under a line voltage reference system is shown,
Figure 364858DEST_PATH_IMAGE203
the active component reference value of the B-phase compensation current under a line voltage reference system is shown,
Figure 186184DEST_PATH_IMAGE202
the reference value of the reactive component of the A-phase compensation current under a line voltage reference system is shown,
Figure 223672DEST_PATH_IMAGE204
the reference value of the reactive component of the B-phase compensation current in a line voltage reference system is shown,
Figure DEST_PATH_IMAGE224AAAA
the active component of the a-phase compensation current is represented,
Figure DEST_PATH_IMAGE226AAAA
the active component of the B-phase compensation current is represented,
Figure DEST_PATH_IMAGE228AAAA
representing the reactive component of the a-phase compensation current,
Figure DEST_PATH_IMAGE230AAAA
representing the reactive component of the B-phase compensation current,
Figure DEST_PATH_IMAGE232AAAA
which represents the angular frequency of the power grid,
Figure DEST_PATH_IMAGE234AAAA
the a-phase filter inductance is shown,
Figure DEST_PATH_IMAGE236AAAA
representing the B-phase filter inductance.
In the embodiment of the present invention, as shown in fig. 2, in step S6, the formula for performing inverse rotation coordinate transformation on the active component and the reactive component of the a-phase modulation signal is as follows:
Figure DEST_PATH_IMAGE238AAAA
the formula for performing inverse transformation of the rotation coordinate on the active component and the reactive component of the B-phase modulation signal is as follows:
Figure DEST_PATH_IMAGE240AAAA
wherein,
Figure 948090DEST_PATH_IMAGE241
represents the modulation signal of the A-phase switch tube,
Figure DEST_PATH_IMAGE243AAAAAA
represents the modulation signal of the B-phase switch tube,
Figure DEST_PATH_IMAGE245AAAAA
a virtual signal representing the constructed hysteretic a-phase switch tube modulated signal,
Figure DEST_PATH_IMAGE247AAAAA
a virtual signal representing the constructed hysteretic B-phase switch tube modulation signal,
Figure DEST_PATH_IMAGE249AAAAA
representing the real component of the a-phase modulated signal,
Figure DEST_PATH_IMAGE251AAAAA
representing the real component of the B-phase modulated signal,
Figure DEST_PATH_IMAGE253AAAAA
representing the reactive component of the a-phase modulated signal,
Figure DEST_PATH_IMAGE255AAAAA
representing the reactive component of the B-phase modulated signal,
Figure DEST_PATH_IMAGE257AAAAA
a second-order transformation matrix representing the angular frequency of the power grid, t representing time, and performing inverse transformation of the rotation coordinate on the active component and the reactive component of the modulation signal of the half-bridge converter is
Figure DEST_PATH_IMAGE259AAAAA
And (4) matrix.
In the embodiment of the invention, as shown in fig. 3, the voltage waveform of the grid side and the current waveforms of the three-phase grid side before and after compensation are shown, the unbalance degree before compensation is 67.50%, the power factor is 0.8090, the unbalance degree after compensation is 2.63%, and the power factor is 0.9999, and the result shows that the three-phase power quality compensation device can effectively improve the three-phase unbalance and the power factor.
The working principle and the process of the invention are as follows: in the present invention, the sum of the current generated by the half-bridge converter and the current of the unbalanced load is balanced, so that the current of the three-phase network is balanced, and therefore, the half-bridge converter is a compensation device for compensating the unbalanced current caused by the unbalanced load. The three-phase power quality compensation device based on the half-bridge converter needs four switching tubes and five current sensors, and is compared with a three-phase active power filterTwo switching tubes, one current sensor, can be reduced. And performing phase locking on the three-phase network side voltage by using a phase-locked loop to obtain the phase of the three-phase network side voltage, acquiring the A-phase network side voltage, the three-phase load current and the two-phase compensation current, and performing rotation coordinate transformation to obtain the active component and the reactive component of the A-phase network side voltage, the three-phase load current and the two-phase compensation current. According to the conditions that the three-phase network side is balanced and the reactive power is zero and the direct current voltage is maintained to be stable, the active component and the reactive component of the load current and the active current for maintaining the direct current voltage to be stable are carried out
Figure DEST_PATH_IMAGE323
Converting to obtain an active component and a reactive component of the compensation current under a phase voltage reference system, because the output end of the converter is connected with a three-phase network side line voltage, and a reference phase of the rotating coordinate conversion is the phase of the phase voltage, and an angle difference exists between the two phases, reactive power is introduced under the line voltage reference system, therefore, the reference value of the compensation current needs to be subjected to cross conversion, a certain reactive component is injected into the reference value of the active component of the compensation current, a certain active component is injected into the reference value of the reactive component of the compensation current to obtain the active component and the reactive component of the compensation current under the line voltage reference system, dq decoupling control is carried out on the active component and the reactive component of the compensation current under the line voltage reference system to obtain the active component and the reactive component of the modulation signal, the modulation signal of the converter is obtained through inverse conversion of the rotating coordinate, and obtaining a driving signal of the switching tube.
The invention has the beneficial effects that:
the invention provides a three-phase power quality compensation device based on a half-bridge converter, which adopts a single-phase half-bridge back-to-back topology, reduces the quantity of switching tubes and current sensors, detects three-phase load current in real time, and compared with the traditional parallel capacitor, the three-phase power quality compensation device can dynamically compensate reactive power, can also dynamically compensate active power imbalance and is not easy to generate resonance. Compared with the traditional three-phase active power filter, the three-phase active power filter has the advantages that two switching tubes and one current sensor can be reduced, the cost is reduced, and the economy is high.
The three-phase power quality compensation method of the invention adopts
Figure DEST_PATH_IMAGE325
The active component and reactive component reference values of the compensation current under the online voltage reference system are obtained through transformation and cross transformation, dq decoupling control is performed on the compensation current under a rotating coordinate system, no static error can be realized in current tracking, good current tracking performance is achieved, three-phase imbalance and reactive dynamic compensation are realized, the method can be applied to diode clamping multilevel topology and Modular Multilevel (MMC) topology, and the method has strong applicability and ductility.
It will be appreciated by those of ordinary skill in the art that the embodiments described herein are intended to assist the reader in understanding the principles of the invention and are to be construed as being without limitation to such specifically recited embodiments and examples. Those skilled in the art can make various other specific changes and combinations based on the teachings of the present invention without departing from the spirit of the invention, and these changes and combinations are within the scope of the invention.

Claims (10)

1. A three-phase power quality compensation device based on a half-bridge converter is characterized by comprising a power grid
Figure DEST_PATH_IMAGE002AAA
Electric network
Figure DEST_PATH_IMAGE004AAA
Electric network
Figure DEST_PATH_IMAGE006AAA
Load, and method of operating the same
Figure 476129DEST_PATH_IMAGE007
Load, and method of operating the same
Figure 479857DEST_PATH_IMAGE008
Load, and method of operating the same
Figure 999832DEST_PATH_IMAGE009
Filter inductor
Figure DEST_PATH_IMAGE011AAAA
Filter inductor
Figure DEST_PATH_IMAGE013AAAA
Current sensor
Figure DEST_PATH_IMAGE015AA
And a support capacitor
Figure DEST_PATH_IMAGE017AA
Switch tube
Figure DEST_PATH_IMAGE019A
And anti-parallel diode
Figure DEST_PATH_IMAGE021A
The power grid
Figure DEST_PATH_IMAGE002AAAA
Respectively with the filter inductor
Figure DEST_PATH_IMAGE011AAAAA
And a current sensor
Figure DEST_PATH_IMAGE023AA
Is connected with one end of the grid, and the negative electrode of the grid is respectively connected with the grid
Figure DEST_PATH_IMAGE004AAAA
Negative pole and electric network
Figure DEST_PATH_IMAGE006AAAA
The negative electrode of (1) is connected; the power grid
Figure DEST_PATH_IMAGE004AAAAA
Respectively with the filter inductor
Figure DEST_PATH_IMAGE013AAAAA
And a current sensor
Figure DEST_PATH_IMAGE025AA
Is connected with one end of the connecting rod; the power grid
Figure DEST_PATH_IMAGE006AAAAA
Positive electrode and current sensor
Figure DEST_PATH_IMAGE027AA
Is connected with one end of the supporting capacitor, and the connection point of the supporting capacitor is connected with the supporting capacitor
Figure 459150DEST_PATH_IMAGE028
And a supporting capacitor
Figure 339251DEST_PATH_IMAGE029
Is connected with the connecting point connected with one end of the connecting rod; the current sensor
Figure DEST_PATH_IMAGE031AAAAA
Another end and a load
Figure 869589DEST_PATH_IMAGE007
Is connected with one end of the connecting rod; the current sensor
Figure DEST_PATH_IMAGE033AAAAA
Another end and a load
Figure 248880DEST_PATH_IMAGE008
Is connected with one end of the connecting rod; the current sensor
Figure DEST_PATH_IMAGE027AAA
Another end and a load
Figure 582778DEST_PATH_IMAGE009
Is connected with one end of the connecting rod; the load
Figure 141936DEST_PATH_IMAGE007
Respectively with the other end of the load
Figure 730043DEST_PATH_IMAGE008
Another end and a load
Figure 450874DEST_PATH_IMAGE009
The other end of the first and second connecting rods is connected; the filter inductor
Figure DEST_PATH_IMAGE011AAAAAA
Another terminal and a current sensor
Figure DEST_PATH_IMAGE035AA
Is connected with one end of the connecting rod; the filter inductor
Figure DEST_PATH_IMAGE013AAAAAA
Another terminal and a current sensor
Figure DEST_PATH_IMAGE037AAA
Is connected with one end of the connecting rod; the current sensor
Figure DEST_PATH_IMAGE035AAA
The other end of the switch tube is respectively connected with the switch tube
Figure 450230DEST_PATH_IMAGE038
Emitter, anti-parallel diode
Figure DEST_PATH_IMAGE040AAAA
Anode and switch tube
Figure 734450DEST_PATH_IMAGE041
Collector electrode andanti-parallel diode
Figure DEST_PATH_IMAGE040AAAAA
The negative electrode of (1) is connected; the switch tube
Figure 131058DEST_PATH_IMAGE038
Respectively with anti-parallel diodes
Figure DEST_PATH_IMAGE040AAAAAA
Negative electrode and supporting capacitor
Figure 960474DEST_PATH_IMAGE028
Another end of (1), a switch tube
Figure 3385DEST_PATH_IMAGE042
Collector and anti-parallel diode
Figure DEST_PATH_IMAGE044AAA
The negative electrode of (1) is connected; the current sensor
Figure DEST_PATH_IMAGE037AAAA
The other end of the switch tube is respectively connected with the switch tube
Figure 530444DEST_PATH_IMAGE042
Emitter, anti-parallel diode
Figure DEST_PATH_IMAGE044AAAA
Anode and switch tube
Figure 93143DEST_PATH_IMAGE045
Collector and anti-parallel diode
Figure DEST_PATH_IMAGE047AAA
The negative electrode of (1) is connected; the switch tube
Figure 483673DEST_PATH_IMAGE045
Respectively with anti-parallel diodes
Figure DEST_PATH_IMAGE047AAAA
Positive electrode and supporting capacitor
Figure 312083DEST_PATH_IMAGE029
Another end of (1), a switch tube
Figure 157680DEST_PATH_IMAGE041
Emitter and anti-parallel diode
Figure DEST_PATH_IMAGE049AA
The positive electrode of (1) is connected;
the support capacitor
Figure DEST_PATH_IMAGE017AAA
Switch tube
Figure DEST_PATH_IMAGE019AA
And anti-parallel diode
Figure DEST_PATH_IMAGE021AA
Forming a half-bridge converter; the load
Figure 450252DEST_PATH_IMAGE007
Load, and method of operating the same
Figure 152629DEST_PATH_IMAGE008
And a load
Figure 904553DEST_PATH_IMAGE009
Forming an unbalanced load;
the current sensor
Figure DEST_PATH_IMAGE051AA
Are all used for measuring load current, the current sensor
Figure DEST_PATH_IMAGE053AA
And
Figure DEST_PATH_IMAGE055AAA
for measuring the compensation currents of the a-phase and the B-phase, respectively.
2. A three-phase power quality compensation method based on a half-bridge converter is characterized by comprising the following steps:
s1: locking the phase of the network side voltage by using a phase-locked loop, and acquiring the phase of the three-phase network side voltage;
s2: according to the phase of the three-phase network side voltage, performing rotation coordinate conversion on the A-phase network side voltage, the three-phase load current and the compensation current to obtain an active component and a reactive component of the A-phase network side voltage, an active component and a reactive component of the three-phase load current and an active component and a reactive component of the compensation current;
s3: the active component and the reactive component of the three-phase load current, the active component and the reactive component of the compensating current and the active current for maintaining the stability of the direct current voltage are carried out
Figure DEST_PATH_IMAGE057AA
Converting to obtain an active component reference value and a reactive component reference value of the compensation current under a phase voltage reference system;
s4: performing cross transformation on an active component reference value and a reactive component reference value of the compensation current in a phase voltage reference system to obtain an active component reference value and a reactive component reference value of the compensation current in a line voltage reference system;
s5: according to the active component and the reactive component of the A-phase network side voltage, carrying out dq decoupling control on the active component and the reactive component of the compensation current and an active component reference value and a reactive component reference value of the compensation current in an online voltage reference system to obtain the active component and the reactive component of a modulation signal of a half-bridge converter;
s6: carrying out inverse transformation of the rotation coordinate on the active component and the reactive component of the modulation signal of the half-bridge converter to obtain the modulation signal of the half-bridge converter;
s7: and performing PWM modulation on the modulation signal of the half-bridge converter to obtain a driving signal of a switching tube of the half-bridge converter, and completing three-phase power quality compensation based on the half-bridge converter.
3. The half-bridge converter based three-phase power quality compensation method of claim 2, wherein in step S2, the formula for performing the rotating coordinate transformation on the a-phase grid side voltage is:
Figure DEST_PATH_IMAGE059AA
the formulas for performing rotation coordinate conversion on the A-phase load current and the compensation current are respectively as follows:
Figure DEST_PATH_IMAGE061AA
wherein,
Figure DEST_PATH_IMAGE063AA
representing the real component of the a-phase grid side voltage,
Figure DEST_PATH_IMAGE065AA
the reactive component of the A phase network side voltage is shown, a second-order transformation matrix for performing rotation coordinate transformation on the A phase network side voltage is a P matrix,
Figure DEST_PATH_IMAGE067AA
the voltage on the a-phase network side is shown,
Figure DEST_PATH_IMAGE069AA
a virtual voltage representing a phase lag from the a-phase grid side voltage,
Figure DEST_PATH_IMAGE071AA
representing the real component of the a-phase load current,
Figure DEST_PATH_IMAGE073AA
representing the reactive component of the a-phase load current,
Figure DEST_PATH_IMAGE075AA
the active component of the a-phase compensation current is represented,
Figure DEST_PATH_IMAGE077AA
representing the reactive component of the a-phase compensation current,
Figure DEST_PATH_IMAGE079AA
which represents the load current of the a-phase,
Figure DEST_PATH_IMAGE081AA
representing a virtual current with a phase lagging the a-phase load ac,
Figure DEST_PATH_IMAGE083AA
the a-phase compensation current is shown,
Figure DEST_PATH_IMAGE085AA
a virtual current representing a phase lag from the a-phase compensation current,
Figure DEST_PATH_IMAGE087AA
representing the grid angular frequency, t representing time;
the formulas for performing rotation coordinate conversion on the B-phase load current and the compensation current are respectively as follows:
Figure DEST_PATH_IMAGE089AA
wherein,
Figure DEST_PATH_IMAGE091AA
representing the real component of the B-phase load current,
Figure DEST_PATH_IMAGE093AA
representing the reactive component of the B-phase load current,
Figure DEST_PATH_IMAGE095AA
the active component of the B-phase compensation current is represented,
Figure DEST_PATH_IMAGE097AA
representing the reactive component of the B-phase compensation current,
Figure DEST_PATH_IMAGE099AA
which represents the load current of the B-phase,
Figure DEST_PATH_IMAGE101AA
representing a virtual current with a phase lagging the B-phase load ac,
Figure DEST_PATH_IMAGE103AA
the B-phase compensation current is shown,
Figure DEST_PATH_IMAGE105AA
a virtual current representing a phase lag from the B-phase compensation current;
formulas for performing rotation coordinate conversion on the C-phase load current and the compensation current are respectively as follows:
Figure DEST_PATH_IMAGE107AA
wherein,
Figure DEST_PATH_IMAGE109AA
represents the real component of the C-phase load current,
Figure DEST_PATH_IMAGE111AA
representing the reactive component of the C-phase load current,
Figure DEST_PATH_IMAGE113AA
represents the real component of the C-phase compensation current,
Figure DEST_PATH_IMAGE115AA
representing the reactive component of the C-phase compensation current,
Figure DEST_PATH_IMAGE117AA
which represents the C-phase load current,
Figure DEST_PATH_IMAGE109AAA
representing a virtual current with a phase lagging the C-phase load ac,
Figure DEST_PATH_IMAGE119AAA
which represents the compensation current of the C-phase,
Figure DEST_PATH_IMAGE121AA
representing a virtual current that lags in phase the C-phase compensation current.
4. The half-bridge converter based three-phase power quality compensation method according to claim 3, wherein in the step S2, the real component and the reactive component of the three-phase grid side current satisfy the following expression:
Figure 479408DEST_PATH_IMAGE122
wherein,
Figure 265967DEST_PATH_IMAGE123
a reference value representing the active component of the a-phase grid side current,
Figure 935983DEST_PATH_IMAGE124
a reference value representing an active component of the B-phase grid-side current,
Figure 925935DEST_PATH_IMAGE125
a reference value representing the active component of the C-phase network side current,
Figure 706810DEST_PATH_IMAGE126
a reference value representing the reactive component of the a-phase grid side current,
Figure 849340DEST_PATH_IMAGE127
a reference value representing the reactive component of the B-phase network side current,
Figure 893520DEST_PATH_IMAGE128
a reference value representing the reactive component of the C-phase grid side current,
Figure DEST_PATH_IMAGE130A
representing the real component of the a-phase load current,
Figure DEST_PATH_IMAGE132A
representing the real component of the B-phase load current,
Figure DEST_PATH_IMAGE134A
representing the real component of the C-phase load current.
5. The half-bridge converter based three-phase power quality compensation method according to claim 2, wherein the step S3 comprises the following sub-steps:
s31: injecting the closed-loop output of the DC side capacitor voltage into the compensation current to obtain the active current for maintaining the DC voltage stable
Figure DEST_PATH_IMAGE136A
S32: for active and reactive components of three-phase load current, active and reactive components of compensating current and active current for maintaining stable DC voltage
Figure DEST_PATH_IMAGE138A
To carry out
Figure DEST_PATH_IMAGE140A
And transforming to obtain an active component reference value and a reactive component reference value of the compensation current under the phase voltage reference system.
6. The half-bridge converter based three-phase power quality compensation method of claim 5, wherein in the step S31, the active current for maintaining the DC voltage stable is obtained
Figure DEST_PATH_IMAGE142A
The calculation formula of (2) is as follows:
Figure 562312DEST_PATH_IMAGE143
wherein, S represents a complex frequency,
Figure DEST_PATH_IMAGE145AA
a first control parameter indicative of the voltage loop,
Figure DEST_PATH_IMAGE147AA
a second control parameter indicative of the voltage loop,
Figure 976238DEST_PATH_IMAGE148
a reference value representing the voltage on the dc side,
Figure DEST_PATH_IMAGE150A
indicating the dc side voltage.
7. The half-bridge converter based three-phase power quality compensation method of claim 5, wherein in step S32, the active and reactive components of the A-phase load current, the active and reactive components of the compensation current and the active current for maintaining the DC voltage stable are treated
Figure DEST_PATH_IMAGE152A
To carry out
Figure DEST_PATH_IMAGE154A
The transformation formula is respectively:
Figure 35592DEST_PATH_IMAGE155
Figure 47410DEST_PATH_IMAGE156
for active component and reactive component of B-phase load current, active component and reactive component of compensation current and active current for maintaining stable DC voltage
Figure DEST_PATH_IMAGE152AA
To carry out
Figure DEST_PATH_IMAGE154AA
The transformation formula is respectively:
Figure 887322DEST_PATH_IMAGE157
wherein,
Figure 275578DEST_PATH_IMAGE158
the active component reference value of the A-phase compensation current under the phase voltage reference system is shown,
Figure 704285DEST_PATH_IMAGE159
the reference value of the reactive component of the A-phase compensation current under the phase voltage reference system is shown,
Figure 559108DEST_PATH_IMAGE160
the active component reference value of the B-phase compensation current under the phase voltage reference system is shown,
Figure 338846DEST_PATH_IMAGE161
the reference value of the reactive component of the B-phase compensation current under the phase voltage reference system is shown,
Figure DEST_PATH_IMAGE163AA
representing the real component of the a-phase load current,
Figure DEST_PATH_IMAGE165AA
representing the real component of the B-phase load current,
Figure DEST_PATH_IMAGE167AA
represents the real component of the C-phase load current,
Figure DEST_PATH_IMAGE169AA
representing the reactive component of the a-phase load current,
Figure DEST_PATH_IMAGE171AA
a reactive component representing a B-phase load current;
in step S32, according to kirchhoff' S current law, the expressions that the real component reference value and the reactive component reference value of the grid-side current, the real component and the reactive component of the load current, and the real component reference value and the reactive component reference value of the compensation current satisfy under the phase voltage reference system are:
Figure DEST_PATH_IMAGE172
wherein,
Figure 875000DEST_PATH_IMAGE123
a reference value representing the active component of the a-phase grid side current,
Figure 158214DEST_PATH_IMAGE124
a reference value representing an active component of the B-phase grid-side current,
Figure 403513DEST_PATH_IMAGE125
a reference value representing the active component of the C-phase network side current,
Figure 201705DEST_PATH_IMAGE126
a reference value representing the reactive component of the a-phase grid side current,
Figure 807129DEST_PATH_IMAGE127
a reference value representing the reactive component of the B-phase network side current,
Figure 741587DEST_PATH_IMAGE128
a reference value representing the reactive component of the C-phase grid side current,
Figure DEST_PATH_IMAGE174
representing the real component of the a-phase load current,
Figure DEST_PATH_IMAGE176
representing the real component of the B-phase load current,
Figure DEST_PATH_IMAGE178
represents the real component of the C-phase load current,
Figure DEST_PATH_IMAGE180
representing the reactive component of the a-phase load current,
Figure DEST_PATH_IMAGE182
representing the reactive component of the B-phase load current,
Figure DEST_PATH_IMAGE184
representing the reactive component of the C-phase load current,
Figure 875897DEST_PATH_IMAGE185
the active component reference value of the C-phase compensation current under the phase voltage reference system is shown,
Figure DEST_PATH_IMAGE186
and the reactive component reference value of the C-phase compensation current under a phase voltage reference system is shown.
8. The half-bridge converter based three-phase power quality compensation method of claim 2, wherein in step S4, the formulas for cross-converting the real component reference value and the reactive component reference value of the a-phase compensation current in the phase voltage reference system are respectively:
Figure 318641DEST_PATH_IMAGE187
the formulas for performing cross transformation on the active component reference value and the reactive component reference value of the B-phase compensation current in the phase voltage reference system are respectively as follows:
Figure DEST_PATH_IMAGE188
wherein,
Figure 258916DEST_PATH_IMAGE189
the active component reference value of the A-phase compensation current under a line voltage reference system is shown,
Figure DEST_PATH_IMAGE190
the reference value of the reactive component of the A-phase compensation current under a line voltage reference system is shown,
Figure 969252DEST_PATH_IMAGE191
the active component reference value of the B-phase compensation current under a line voltage reference system is shown,
Figure DEST_PATH_IMAGE192
the reference value of the reactive component of the B-phase compensation current in a line voltage reference system is shown,
Figure 540041DEST_PATH_IMAGE158
the active component reference value of the A-phase compensation current under the phase voltage reference system is shown,
Figure 47246DEST_PATH_IMAGE159
the reference value of the reactive component of the A-phase compensation current under the phase voltage reference system is shown,
Figure 756925DEST_PATH_IMAGE160
the active component reference value of the B-phase compensation current under the phase voltage reference system is shown,
Figure 931554DEST_PATH_IMAGE161
and the reactive component reference value of the B-phase compensation current under a phase voltage reference system is shown.
9. The half-bridge converter based three-phase power quality compensation method of claim 2, wherein in step S5, the formula for dq decoupling control of the a phase is as follows:
Figure 673245DEST_PATH_IMAGE193
the formula for dq decoupling control of phase B is as follows:
Figure DEST_PATH_IMAGE194
wherein,
Figure DEST_PATH_IMAGE196
representing the real component of the a-phase modulated signal,
Figure DEST_PATH_IMAGE198
representing the real component of the B-phase modulated signal,
Figure DEST_PATH_IMAGE200
representing the reactive component of the a-phase modulated signal,
Figure DEST_PATH_IMAGE202
representing the reactive component of the B-phase modulated signal,
Figure DEST_PATH_IMAGE204
a third control parameter representing a current loop,
Figure DEST_PATH_IMAGE206
a fourth control parameter representing a current loop,
Figure DEST_PATH_IMAGE208
representing the real component of the a-phase grid side voltage,
Figure DEST_PATH_IMAGE210
representing the reactive component of the a-phase grid side voltage, S the complex frequency,
Figure 434790DEST_PATH_IMAGE189
the active component reference value of the A-phase compensation current under a line voltage reference system is shown,
Figure 169397DEST_PATH_IMAGE191
the active component reference value of the B-phase compensation current under a line voltage reference system is shown,
Figure 464112DEST_PATH_IMAGE190
the reference value of the reactive component of the A-phase compensation current under a line voltage reference system is shown,
Figure 376704DEST_PATH_IMAGE192
the reference value of the reactive component of the B-phase compensation current in a line voltage reference system is shown,
Figure DEST_PATH_IMAGE212
represents phase AThe active component of the compensation current is,
Figure DEST_PATH_IMAGE214
the active component of the B-phase compensation current is represented,
Figure DEST_PATH_IMAGE216
representing the reactive component of the a-phase compensation current,
Figure DEST_PATH_IMAGE218
representing the reactive component of the B-phase compensation current,
Figure DEST_PATH_IMAGE220
which represents the angular frequency of the power grid,
Figure DEST_PATH_IMAGE222
the a-phase filter inductance is shown,
Figure DEST_PATH_IMAGE224
representing the B-phase filter inductance.
10. The half-bridge converter based three-phase power quality compensation method of claim 2, wherein in step S6, the formula for performing inverse rotational coordinate transformation on the active component and the reactive component of the a-phase modulation signal is as follows:
Figure DEST_PATH_IMAGE226
the formula for performing inverse transformation of the rotation coordinate on the active component and the reactive component of the B-phase modulation signal is as follows:
Figure DEST_PATH_IMAGE228
wherein,
Figure 313961DEST_PATH_IMAGE229
represents the modulation signal of the A-phase switch tube,
Figure DEST_PATH_IMAGE231A
represents the modulation signal of the B-phase switch tube,
Figure DEST_PATH_IMAGE233A
a virtual signal representing the constructed hysteretic a-phase switch tube modulated signal,
Figure DEST_PATH_IMAGE235A
a virtual signal representing the constructed hysteretic B-phase switch tube modulation signal,
Figure DEST_PATH_IMAGE237A
representing the real component of the a-phase modulated signal,
Figure DEST_PATH_IMAGE239A
representing the real component of the B-phase modulated signal,
Figure DEST_PATH_IMAGE241A
representing the reactive component of the a-phase modulated signal,
Figure DEST_PATH_IMAGE243A
representing the reactive component of the B-phase modulated signal,
Figure DEST_PATH_IMAGE245A
a second-order transformation matrix representing the angular frequency of the power grid, t representing time, and performing inverse transformation of the rotation coordinate on the active component and the reactive component of the modulation signal of the half-bridge converter is
Figure DEST_PATH_IMAGE247A
And (4) matrix.
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