CN108768155B - A kind of Power Factor Correction Control system - Google Patents
A kind of Power Factor Correction Control system Download PDFInfo
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- CN108768155B CN108768155B CN201810722525.4A CN201810722525A CN108768155B CN 108768155 B CN108768155 B CN 108768155B CN 201810722525 A CN201810722525 A CN 201810722525A CN 108768155 B CN108768155 B CN 108768155B
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02M—APPARATUS FOR CONVERSION BETWEEN AC AND AC, BETWEEN AC AND DC, OR BETWEEN DC AND DC, AND FOR USE WITH MAINS OR SIMILAR POWER SUPPLY SYSTEMS; CONVERSION OF DC OR AC INPUT POWER INTO SURGE OUTPUT POWER; CONTROL OR REGULATION THEREOF
- H02M1/00—Details of apparatus for conversion
- H02M1/42—Circuits or arrangements for compensating for or adjusting power factor in converters or inverters
- H02M1/4208—Arrangements for improving power factor of AC input
- H02M1/4225—Arrangements for improving power factor of AC input using a non-isolated boost converter
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- Y—GENERAL 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
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02B—CLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO BUILDINGS, e.g. HOUSING, HOUSE APPLIANCES OR RELATED END-USER APPLICATIONS
- Y02B70/00—Technologies for an efficient end-user side electric power management and consumption
- Y02B70/10—Technologies improving the efficiency by using switched-mode power supplies [SMPS], i.e. efficient power electronics conversion e.g. power factor correction or reduction of losses in power supplies or efficient standby modes
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Abstract
The invention discloses a kind of Power Factor Correction Control systems, including circuit of power factor correction and control unit, described control unit executes following steps: 1) indicating the component parameters of circuit of power factor correction using nominal value and variable quantity, establish the current status spatial model of circuit of power factor correction；2) universe sliding formwork control TSMC algorithm is run, which includes two parts, one is expected performance is obtained according to benchmark model, the second is constraint controller design.The present invention indicates component parameters nominal value and variable quantity, Lai Jianli current status spatial model, so as to improve controller to the robustness of Parameters variation；On the one hand universe sliding formwork control TSMC algorithm obtains expected performance according to nominal model, on the other hand realize that the tracking error of inductive current can maintain on sliding-mode surface always by design constraint controller, and the tracking error of inductive current goes to zero progressive.
Description
Technical field
The present invention relates to power factor correction technology fields, and in particular to a kind of Power Factor Correction Control system.
Background technique
Charging device of electric automobile common at present is rectified using uncontrollable rectifier bridge, and rectifier bridge turns power grid alternating current
During turning to the direct current used for batteries of electric automobile, a large amount of multiple harmonics are contained in current on line side, cause power grid
Voltage generates distortion, can generate adverse effect to component in main circuit and load.PFC (PFC) can make net
Side input current waveform tracks grid voltage waveform, is corrected to the sine wave with input voltage same-phase, improve power because
Number, greatly reduces voltage, current harmonics, while obtaining smooth and stable output DC voltage, and improve circuit transmission efficiency.
So PFC is played in AC/DC translation circuit in order to improve the charging performance of charging device of electric automobile, improve power grid quality
Vital effect.
With the development of electronic technology, the IC for being exclusively used in PFC is developed successively, and design High Power Factor, low harmony wave are lost
Genuine various electronic circuit provides technical support.Each pin can realize multiple functions, including soft start, input power inside IC
Under-voltage protection, output overloading protection etc..However, the design based on IC need to consider the limit condition of operation of chip itself, and control
Component is more in circuit, bad adaptability, and vulnerable to noise jamming, debugging is complicated.It is digital control compared with analog control technique
Technology can eliminate the defect that simulation control chip needs discrete device, reduce the sensibility to environment temperature, digital control side
Method can increase calculating link, be convenient for system debug, may be programmed and be able to achieve a large amount of control design cases, reduce first device in actual circuit
Number of packages amount, noise jamming is small, controls the advantages that reliable.Digital control converter can also improve the dynamic response of control system
Can, but the quick tracking of the harmonic current and voltage-phase for focusing on reducing exchange side of digital control method, and do not examine
Consider the influence of Parameters variation or load disturbance.
Pfc circuit is a typical nonlinear system, since there are non-linear elements and state-space model in circuit
In there are switching variables, be difficult to realize good control performance using traditional linear control strategies.Sliding formwork control (SMC) right and wrong
Effective control method of linear system, control amount can make system mode reach predetermined according to system current state consecutive variations
Equalization point is moved to along default sliding surface after sliding surface.Sliding formwork control (SMC) is controlled especially suitable for switching mode system,
It is successfully applied in the control of DC-DC converter.But for traditional sliding formwork control (SMC) when system has interference, sliding process can
It can be unable to complete, so as to cause system to be unable to control.
Summary of the invention
The technical problem to be solved in the present invention is to provide a kind of Power Factor Correction Control systems, can solve traditional sliding formwork
(SMC) is controlled when system has interference, sliding process may be unable to complete, so as to cause system is uncontrollable to ask
Topic.
The invention is realized by the following technical scheme:
A kind of Power Factor Correction Control system, including circuit of power factor correction and control unit, described control unit
Execute following steps:
1) component parameters that circuit of power factor correction is indicated using nominal value and variable quantity, establish PFC
The current status spatial model of circuit；
2) universe sliding formwork control TSMC algorithm is run, which includes two parts, one is obtaining the phase according to benchmark model
Hope performance:
According in circuit of power factor correction, slave mode variable inductive current iLWith reference current iLrTracking error ei
=iL-iLr, the derivative of tracking errorEstablish the benchmark model of the inductive current of circuit of power factor correction:
A in formulapn、Bpn、DpnRespectively indicate the nominal value coefficient of benchmark model；
Set integral form sliding surface are as follows:
E in formulaiIt (0) is ei(t) initial value, k are non-zero normal number；
Set the control law of benchmark model are as follows:
Control law formula (8) substitution benchmark model formula (6) is obtained into expected performance:
The second is constraint controller design:
Consider lump uncertainty w (t), the benchmark model modification of inductive current are as follows:
The modification of integral form sliding surface are as follows:
F (e in formulai(t)) condition need to be met:
Additional control rule is added in former control law:
New control law are as follows:
In formula, sgn (g) is sign function, and ρ is estimation parameter and is normal number；
Under new control law, the tracking error of inductive current is maintained on sliding-mode surface always, it may be assumed that
Wherein f meets
The benchmark model formula (10) that new control law formula (14) is substituted into modified inductive current, obtain inductive current with
The derivative of track error:
Liapunov candidate functions are defined as V1=0.5s2, according to formula (13) and formula (15), V1Derivative be expressed as:
Control gain ρ in formula to meet: ρ > | w (t) |, i.e.,It is a negative definite function.
It is adaptive that further scheme of the invention is that further include step 3) realize TSMC algorithm improvement with adaptive algorithm
Universe sliding formwork control ATSMC algorithm estimates the probabilistic boundary of lump with adaptive algorithm:
WhereinFor the estimated value for controlling gain ρ, evaluated error is defined as
Introduce second liapunov functionV2Derivative be expressed as:
Meet ρ > | w |, i.e. ρ > ρi, It is a negative definite function.
The advantages of the present invention over the prior art are that:
One, in view of its value may and be not equal to nominal value to component parameters in practical applications, by component parameters with nominally
Value and variable quantity indicate, Lai Jianli current status spatial model, so as to improve controller to the robustness of Parameters variation；
Two, on the one hand universe sliding formwork control TSMC algorithm obtains expected performance according to nominal model, on the other hand by setting
Meter constraint controller, is restrained by an additional control, when the selection of control law boundary value probabilistic greater than lump, so that
System can also guarantee the stability of system whole state in unknown parameter variation and load disturbance situation, eliminate unpredictable
System change, realize that the tracking error of inductive current can maintain on sliding-mode surface always, and the tracking error of inductive current
It goes to zero progressive；
Three, adaptive universe sliding formwork control ATSMC algorithm is estimated using adaptive algorithm and adjustment lump is probabilistic
Boundary solves just to can guarantee that system is stablized when control gain is greater than lump undefined boundary, and value crosses conference and causes to buffet
Problem, make system dynamic characteristic in uncertain situation have very strong robustness, under ideal conditions and there are systems not
When certainty, inductive current can track given instruction, to obtain the sinusoidal network electric current with network voltage with phase, and mention
High pfc circuit power factor.
Detailed description of the invention
Fig. 1 is the circuit of power factor correction of embodiment.
Fig. 2 is the system block diagram of embodiment.
Fig. 3 is the control performance of output voltage in embodiment.
Fig. 4 is the steady-state performance of inductive current in embodiment.
Fig. 5 is the steady-state performance that adaptive universe sliding formwork control ATSMC algorithm controls power network current in embodiment.
Fig. 6 is the steady-state performance that PIC controls power network current in embodiment.
Fig. 7 be in embodiment adaptive universe sliding formwork control ATSMC algorithm and PIC in pair in power network current infall dead zone
Than analysis.
Fig. 8 be in embodiment adaptive universe sliding formwork control ATSMC algorithm and when PIC filter inductance 90% to 110%
PF value when variation.
Fig. 9 is the experimental result of DC output voltage response in embodiment.
Figure 10 is the experiment knot of the current control system based on adaptive universe sliding formwork control ATSMC algorithm in embodiment
Fruit.
Figure 11 is the experimental result of power network current in embodiment.
Specific embodiment
A kind of Power Factor Correction Control system as shown in Figure 2 is corrected including step-up type power factor as shown in Figure 1
(PFC) circuit and control unit, described control unit execute following steps:
1) component parameters of circuit of power factor correction are indicated using nominal value and variable quantity, in boost type PFC circuit
Network voltage vs=VsSin ω t, isFor power network current, the output v of uncontrollable rectifier bridgein=| VsSin ω t |, | g | it is absolute value
Operator, L are input inductance, rLFor inductance equivalent resistance, S is main switch, and D is output diode, and C is output capacitance, RlFor load
Resistance, iLAnd voRespectively inductive current and DC output voltage.
When S conducting, inductance L is in energy storage stage, and capacitor C is load RlEnergy, the void of current path as shown in figure 1 are provided
Shown in line, capacitor equivalent series resistance is disregarded, according to Kirchhoff's second law (KVL) and Kirchhoff's current law (KCL)
(KCL),
When S shutdown, inductance L is capacitor C and load RlEnergy, shown in the chain-dotted line of current path as shown in figure 1, root are provided
According to KVL and KCL,
The perfect condition space average mathematical model of pfc circuit is as follows:
Wherein, d is the duty ratio of main switch S；
Under normal circumstances, formula (3a), parameter L, C, R in formula (3b)lAnd vinIt is typically considered to ideal constant, and is actually being answered
Its value may and be not equal to nominal value in, and this programme is intended to improve the robustness to Parameters variation, therefore in view of parameter becomes
Change, formula (3a) indicates that then the current status spatial model of PFC electric current is rewritten as with nominal value and variable quantity
Wherein, iLIt (t) is slave mode variable, ucon(t)=(1-d) voFor the control law of control system, Respectively Apn、Bpn、DpnNominal value, Δ Apn、ΔBpn、ΔDpnTable
Show system parameter variations, can be defined as
W (t)=Δ ApniL(t)+ΔBpnucon(t)+ΔDpnvin(t) (5)
Assuming that the probabilistic boundary of lump is given, absolute value | w (t) | < ρi, ρiFor given normal number.
2) universe sliding formwork control TSMC algorithm is run, which includes two parts, one is obtaining the phase according to benchmark model
Hope performance:
According in circuit of power factor correction, slave mode variable inductive current iLWith reference current iLrTracking error ei
=iL-iLr, the derivative of tracking errorEstablish the benchmark model of the inductive current of circuit of power factor correction:
A in formulapn、Bpn、DpnRespectively indicate the nominal value coefficient of benchmark model；
Set integral form sliding surface are as follows:
E in formulaiIt (0) is ei(t) initial value, k are non-zero normal number；
Set the control law of benchmark model are as follows:
Control law formula (8) substitution benchmark model formula (6) is obtained:
Formula (9) shows that inductive current control system is a first-order system, the correct value for selecting k, easily designed desired
System dynamic such as rise time, overshoot and regulating time；For benchmark model, when t >=0 when, s (t)=0, this just anticipates
Taste compared with traditional SMC, this method does not have arrival time, therefore system mode is located on sliding surface in t=0, designed
System there is always universe sliding motion.
However when uncertainty occurs, it joined an external loading in system parameter deviation nominal value or system and disturb
Dynamic, benchmark model design is it cannot be guaranteed that its performance, the stability of controlled system are likely to be broken.
The second is constraint controller design:
It is disturbed if there is unknown Parameters variation and external loading, system dynamics is considered as lump uncertainty w
(t), the benchmark model modification of inductive current are as follows:
Control law u in apparent formula (8)conbIt cannot be guaranteed benchmark model performance, therefore an additional control rule must be designed
So that the performance of uncertain PFC control system is identical as dynamic property described in formula (9).
The modification of integral form sliding surface are as follows:
F (e in formulai(t)) condition need to be met:
In order to reach the desired dynamic performance of formula (9), according to formula (10) and formula (12) design additional control rule are as follows:
New control law are as follows:
In formula, sgn (g) is sign function, and ρ is estimation parameter and is normal number；
Under new control law, the tracking error of inductive current is maintained on sliding-mode surface always, it may be assumed that
Wherein f meets
The benchmark model formula (10) that new control law formula (14) is substituted into modified inductive current, obtain inductive current with
The derivative of track error:
Liapunov candidate functions are defined as V1=0.5s2, according to formula (13) and formula (15), V1Derivative be expressed as:
Control gain ρ in formula to meet: ρ > | w (t) |, i.e.,It is a negative definite function.This means that according to Li Ya
Pu Nuofu theorem, the tracking error e of inductive currentiIt goes to zero progressive.
3) self adaptive control gain design
Formula (17) shows that the stability of total-sliding-mode control is influenced by control gain ρ, only when the selection of ρ is greater than lump not
When deterministic boundary, stability just can guarantee.But the probabilistic boundary of lump is difficult to estimate in practical applications.Usually control
Gain ρ processed can be designed the stability as big as possible to ensure control system, however control gain greatly will lead to chattering phenomenon.
Adaptive universe sliding formwork control ATSMC algorithm is realized to TSMC algorithm improvement with adaptive algorithm, i.e., with adaptive
Algorithm estimates the probabilistic boundary of lump:
WhereinFor the estimated value for controlling gain ρ, evaluated error is defined asIn order to forceIt goes to zero, introduces
Second liapunov functionV2Derivative be expressed as:
Meet ρ > | w |, i.e. ρ > ρi,A negative definite function, according to Lyapunov theorem and
Barbalat lemma, sliding-mode surface s and evaluated errorGo to zero progressive, it means that s andIt is boundary function, the electric current of PFC
The stability of ATSMC control accesses guarantee.
Numerical Simulation Results
Numerical simulation is carried out to verify its performance to system using PSIM software, and is compared with traditional PIC.Work as reference
When voltage is 200V, dynamic and steady-state performance of the output voltage at ATSMC are as shown in figure 3, output voltage being capable of track reference
Instruction has fast dynamic response and high control precision.The steady-state performance of inductive current as shown in figure 4, uncontrollable rectifier bridge it is defeated
Voltage, that is, booster converter input voltage out can control the same phase of input voltage that inductive current makes it with booster converter,
And inductive current does not have dead zone.
In order to verify PFC as a result, power network current and network voltage are as shown in Figure 5.The stable state of ATSMC control
Performance is portrayed as 5 times of power network current；Contrast simulation experiment has been carried out based on ATSMC and PIC method, it is effective with access control
Property, the steady-state performance of PIC control is as shown in Figure 6, it can be seen that the power network current and the same phase of network voltage of ATSMC control, and electricity
Net electric current is sine wave, and power factor (power factor, PF) is 0.994 higher than the 0.987 of PIC control.ATSMC and PIC
Comparative analysis in power network current infall dead zone is as shown in Figure 7, it can be seen that ATSMC is smaller in the dead zone of infall, i.e., electric
Net electric current has better sine.Simulation result shows that designed ATSMC current controller can reach and controls well
Target.Robustness to Parameters variation is to examine an important feature of ATSMC algorithm superiority and inferiority, and filter inductance L is current control
One of important parameter of system, is respectively adopted ATSMC and PIC is verified, and actual inductance is arrived the 90% of nominal value 1.48mH
Simulation result when changing between 110% is as shown in figure 8, Numerical Simulation Results show that the range of PF value arrives for 0.9927
0.995, i.e., when filter inductance 10% above and below nominal value in change, and in nominal inductance PF value variation less than 0.1% when, with
PIC is compared, and PF value when using ATSMC is higher and variation range is smaller.
Making experimental prototype proves the validity of designed PFC (PFC) control system, passes through
The ATSMC control algolithm of design is applied to actual experiment by TMS320LF28335 type DSP, using sample circuit to closed-loop control
The voltage and current of system is detected.The dynamic and stable state waveform of DC output voltage are observed by YOKOGAWA oscillograph.
From fig. 9, it can be seen that pfc circuit is beginning as uncontrollable rectifier device work, when the pwm signal that DSP control panel generates passes through
When the ATSMC algorithm of design drives semiconductor switch S, DC output voltage is capable of fast tracking instruction without generating electricity
Press through punching.The experimental result of current control system based on ATSMC is as shown in Figure 10, and the waveform of inductive current is one positive
String half-wave, and the same phase of output voltage, that is, booster converter input voltage with rectifier bridge, the results showed that, inductive current can be very
Track reference electric current well demonstrates PFC (the power factor of current control designed by the present invention
Correction, PFC) adaptive universe sliding formwork control (adaptive total sliding mode control, ATSMC)
The validity of system.Figure 11 shows the experimental result of power network current, the experimental results showed that ATSMC designed by the present invention can
Good sinusoidal network electric current, and the power network current and the same phase of network voltage are obtained, the target for improving PF value can also be protected
Card.
Claims (2)
1. a kind of Power Factor Correction Control system, including circuit of power factor correction and control unit, it is characterised in that described
Control unit executes following steps:
1) component parameters of circuit of power factor correction, power grid in boost type pfc circuit are indicated using nominal value and variable quantity
Voltage vs=VsSin ω t, isFor power network current, the output v of uncontrollable rectifier bridgein=| VsSin ω t |, | g | it is absolute value operators, L
To input inductance, rLFor inductance equivalent resistance, S is main switch, and D is output diode, and C is output capacitance, RlFor load resistance,
iLAnd voRespectively inductive current and DC output voltage；
When S conducting, inductance L is in energy storage stage, and capacitor C is load RlEnergy is provided, capacitor equivalent series resistance, root are disregarded
According to Kirchhoff's second law (KVL) and Kirchhoff's current law (KCL) (KCL),
When S shutdown, inductance L is capacitor C and load RlEnergy is provided, according to Kirchhoff's second law and kirchhoff electric current
Law,
The perfect condition space average mathematical model of pfc circuit is as follows:
Wherein, d is the duty ratio of main switch S；
Parameter L, C, R in formula (3a), formula (3b)lAnd vinIt is considered as ideal constant, formula (3a) is indicated with nominal value and variable quantity,
Then the current status spatial model of PFC electric current is rewritten as
Wherein, iLIt (t) is slave mode variable, ucon(t)=(1-d) voFor the control law of control system,Respectively Apn、Bpn、DpnNominal value, Δ Apn、ΔBpn、ΔDpn
It indicates system parameter variations, can be defined as
W (t)=Δ ApniL(t)+ΔBpnucon(t)+ΔDpnvin(t) (5)
If the probabilistic boundary of lump is given, absolute value | w (t) | < ρi, ρiFor given normal number；
2) universe sliding formwork control TSMC algorithm is run, which includes two parts, one is obtaining expectation property according to benchmark model
Can:
According in circuit of power factor correction, slave mode variable inductive current iLWith reference current iLrTracking error ei=iL-
iLr, the derivative of tracking errorEstablish the benchmark model of the inductive current of circuit of power factor correction:
A in formulapn、Bpn、DpnRespectively indicate the nominal value coefficient of benchmark model；
Set integral form sliding surface are as follows:
E in formulaiIt (0) is ei(t) initial value, k are non-zero normal number；
Set the control law of benchmark model are as follows:
Control law formula (8) substitution benchmark model formula (6) is obtained into expected performance:
The second is constraint controller design:
Consider lump uncertainty w (t), the benchmark model modification of inductive current are as follows:
The modification of integral form sliding surface are as follows:
F (e in formulai(t)) condition need to be met:
Additional control rule is added in former control law:
New control law are as follows:
In formula, sgn (g) is sign function, and ρ is estimation parameter and is normal number；
Under new control law, the tracking error of inductive current is maintained on sliding-mode surface always, it may be assumed that
Wherein f meets
The benchmark model formula (10) that new control law formula (14) is substituted into modified inductive current, the tracking for obtaining inductive current miss
The derivative of difference:
Liapunov candidate functions are defined as V1=0.5s2, according to formula (13) and formula (15), V1Derivative be expressed as:
Gain ρ is controlled in formula to meet: ρ > | w (t) |, i.e., It is a negative definite function.
2. a kind of Power Factor Correction Control system as described in claim 1, it is characterised in that: further include step 3) with adaptive
It answers the algorithm to realize adaptive universe sliding formwork control ATSMC algorithm to TSMC algorithm improvement, i.e., lump is estimated with adaptive algorithm
Probabilistic boundary:
WhereinFor the estimated value for controlling gain ρ, evaluated error is defined as
Introduce second liapunov functionV2Derivative be expressed as:
Meet ρ > | w |, i.e. ρ > ρi, It is a negative definite function.
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