CN106570266A - Design method of direct-current harmonic model of power grid commutation converter - Google Patents
Design method of direct-current harmonic model of power grid commutation converter Download PDFInfo
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Abstract
The invention discloses a design method of a direct-current harmonic model of a power grid commutation converter. The method comprises the following steps: considering the conduction condition of each converter valve in 1 power supply period, and calculating the phase change angle of each valve; then, calculating 3 ripple inductances of each three-phase half-bridge circuit by adopting a piecewise linear method, carrying out Fourier decomposition on output voltages of the three-phase half-bridge circuits, and calculating 3 ripple harmonic voltage sources of the three-phase half-bridge circuits; thereby forming a three-phase half-bridge circuit harmonic model in the form of a Thevenin equivalent circuit; and finally, connecting the half-bridge models in series to establish a direct current harmonic model of the converter. The model established by the method can be used for calculating any subharmonic on the direct current side of the power grid commutation converter, and various asymmetric factors, background harmonic and the influence of an alternating current filter on the alternating current side are taken into account. Compared with the existing method, the method has the advantages of wider harmonic calculation range, higher harmonic calculation accuracy and more comprehensive consideration of asymmetric factors, and can provide technical support for improvement of the design of the converter direct-current filter.
Description
Technical field
The present invention is a kind of method for designing of line commutation inverter direct current harmonic-model, particularly a kind of to count and asymmetric
Factor and the 3 pulsation design methods for exchanging background harmonicses, belong to line commutation inverter direct current harmonic-model method for designing
Innovative technology.
Background technology
Line commutation inverter is the important alterating and direct current energy conversion equipment of field of power electronics, is widely used in high straightening
The occasions such as stream transmission of electricity, flexible AC transmission, new-energy grid-connected.
At present, line commutation inverter model is designed with various methods.There are 6 ripple harmonics for 6 pulse conversion devices
Model and the 12 ripple harmonic models for 12 pulse conversion devices, both approaches can only respectively calculate 6 pulse conversion devices or 12
The characteristic harmonics of pulse conversion devices, it is impossible to embody the uncharacteristic harmonics that these inverters are produced, therefore calculation error is very big；And 3
Although ripple harmonic model can calculate 3k (k=1,2,3 ...) secondary uncharacteristic harmonics, but original design method is based on more hypothesis
Condition and reduced model, therefore 3 ripple harmonic models can not accurately embody 12 pulse conversion devices direct current harmonic wave under non-ideal condition
Situation, show as many times high voltage direct current transmission projects, result and the field actual measurement results calculated with 3 ripple harmonic models are present
Larger deviation.Therefore, a kind of 12 pulse conversion devices for taking into full account that various non-ideal factors affect under actual condition are designed straight
Stream harmonic-model algorithm is significant.
The content of the invention
The purpose of the present invention：Consider the problems referred to above, there is provided one kind can be counted fully and the exchange of various inverters is asymmetric, tactile
Send out the method for designing of the line commutation inverter direct current harmonic-model that angle and angle of overlap Asymmetric ef- fect and alternating current filter affect.
The technical scheme is that, including procedure below：
12 pulse conversion devices are equivalent to into the three-phase half-bridge circuit of 4 series connection, by each converter valve in a power cycle
It is divided into 6 working conditions, using the complete commutation for characterizing each three-phase half-bridge circuit of each working condition of Piecewise
Angle, inductance and voltage；And then the inductance meansigma methodss in a power cycle are asked for, 3 pulsation inductor models are set up, to three-phase half
The output voltage of bridge circuit carries out Fourier decomposition, forms 3 ripple harmonic voltage source models；Dai Weinan etc. is constituted on this basis
The three-phase half-bridge circuit harmonic-model of effect circuit form；Finally consider the stray capacitance over the ground of converter power transformer, form 12 and pulse
Line commutation inverter direct current harmonic-model.
The math equation for solving the angle of overlap is：
Wherein,ωFor fundamental wave angular frequency,L i WithR i Respectivelyi (i=a, b, c) phase commutation inductance and commutating resistance,i d For straight
Stream electric current,U 1For fundamental wave line voltage virtual value,MFor constant coefficient,α 1Withμ 1Respectively converter valve V1Trigger Angle and angle of overlap.
The design packet of the 3 pulsation inductor models contains procedure below：
（1）During the commutation process that two converter valves are simultaneously turned on three-phase half-bridge circuit, its inductance is
WhereinL iForiPhase (i ,j = a ,b ,c) commutation inductance, determine that method is as follows
WhereinL Ti ForiThe converter power transformer leakage inductance of phase,L si ForiPhase network equivalence inductance,L Fi ForiCross streams wave filter etc.
Value inductance；
（2）During the not commutation of 3 converter valves, the inductance of three-phase half-bridge circuit is
（3）Consider the conducting situation of each converter valve in 1 power cycle, using Piecewise the 3 of three-phase half-bridge circuit are calculated
Pulsation inductance, its calculating formula is
Wherein,α q Withμ q (q=1,5,9) it is respectively converter valve V q Trigger Angle and angle of overlap.
The design of the 3 ripple harmonic voltage source includes procedure below：
（1）WhenjIn opposite directionsi ( i ,j = a ,b ,c )During phase commutation, converter valveV 1、V 5、V 9The three-phase half-bridge circuit of composition
Commutating voltage be
In formulau i For converter transformer valve-sideiPhase voltage, i.e.,
WhereinnFor overtone order,U niWithφ niRespectivelyiPhasenThe amplitude and phase angle of subharmonic voltage；
（2）During the not commutation of 3 converter valves, the voltage of above-mentioned three-phase half-bridge circuit is
（3）In one power cycle, to the above-mentioned three-phase half-bridge circuit that constitutes during by 3 commutations and during 3 not commutations
Output voltage carries out Fourier decomposition, obtains
In formulau 3pFor 3 ripple harmonic voltage sources；U 3pnWithφ 3pnRespectivelynThe amplitude and phase angle of subharmonic voltage, calculates public
Formula is respectively
Wherein subscript 0 represents DC component,a nWithb nRespectivelynThe real part and imaginary part of subharmonic voltage, its calculating formula is
。
Beneficial effects of the present invention are as follows：
The present invention embodies inverter AC three-phase parameter due to complete using Piecewise and in each segmentation, while considering
Unequal interval triggering and commutation angular displacement caused by parallel algorithm, remains alternating current filter triphase parameter, therefore avoids
It is infinitely great, every that former 3 ripple harmonic design methods presuppose inverter AC three-phase symmetrical, alternating current filter impedance
Individual converter valve is triggered at equal intervals, and angle of overlap is equal, and so as to calculate, inverter AC is various asymmetric and ac filter
Impact of the device to direct current harmonic wave, impact and commutation angular displacement that unequal interval triggering caused by parallel algorithm can not be considered
Impact, and direct current 3 can only be calculatedk（k=1,2,3…）The problem of subharmonic.Additionally, the method for designing of the present invention still has
The characteristics of having the master mould suitability extensive, can apply to the line commutation inverter direct current Harmonic Modeling of various different structures.
Therefore the present invention is a kind of with broader Harmonics Calculation scope, higher Harmonics Calculation accuracy, while considering more humorous
The method for designing of the line commutation inverter direct current harmonic-model of ripple distortion effects factor.
Description of the drawings
Fig. 1 is 12 pulsation line commutation inverter schematic diagrams.
Fig. 2 is 3 ripple harmonic models of 12 pulsation line commutation inverters of present invention design.
Fig. 3 is three-phase half-bridge circuit commutation process schematic diagram.
Fig. 4 is D.C. high voltage transmission testing engineering monopolar ground return straight-flow system schematic diagram.
Specific embodiment
Below in conjunction with the accompanying drawings technical scheme is described in detail with embodiment.
Fig. 1 is the schematic diagram of 12 pulsation line commutation inverters.12 pulse conversion devices are by two 6 pulse conversion devices in direct current
Side is connected, while being composed in parallel by converter power transformer in AC.Each 6 pulse conversion devices is by two three-phase half-bridge circuit strings
Joint group is into realizing the AC-DC conversion of electric energy.Therefore, 12 pulse conversion devices are equivalent to the three-phase half-bridge circuit of 4 series connection.
1. 3 ripple harmonic model
The direct current harmonic-model topology of 12 pulsation line commutation inverters is as shown in Figure 2.12 pulse conversion devices are equivalent to 4 by it
The three-phase half-bridge circuit of series connection, respectively by converter valve V1V5V9And its connected AC system composition common cathode half-bridge circuit,
V3V7V11And its common-anode half-bridge circuit of connected AC system composition, and V2V6V10And V4V8V12Even exchange with it respectively
The common cathode half-bridge and common-anode half-bridge circuit of system composition.Each three-phase half-bridge circuit with one group by 3 pulsation inductanceL 3pWith 3
Ripple harmonic voltage sourceu 3pThe thevenin equivalent circuit of composition is in addition equivalent.Impact of the converter power transformer stray capacitance to harmonic wave
Then with electric capacity in Fig. 2C 1WithC 2Represented.
2. angle of overlap modelling
Under Practical Project occasion, due to being not completely equivalent containing a large amount of asymmetric loads, converter power transformer triphase parameter in electrical network,
The factors such as converter valve unequal interval triggering, the running status of inverter is often asymmetric, and the angle of overlap of its each converter valve is also equal
Differ, need to be respectively calculated.Here the mathematical model of angle of overlap is set up to as a example by V1 commutations by converter valve V9.Now,
The converter valve turned in upper 6 pulse conversion devices in Fig. 1 is V9, V11 and V1, and its commutation process is as shown in Figure 3.
Do it is assumed hereinafter that：1）Because the harmonic wave of AC system is much smaller than fundamental wave, therefore the only base of meter and inverter AC
Ripple（Harmonic wave is not considered）；2）The impedance of fundamental frequency of alternating current filter is far above harmonic impedance, therefore alternating current filter is considered as into open circuit,
Disregard its impact；3）Due to DC flat-wave reactor reactance it is very big, therefore DC currenti d Approximately constant.
For Fig. 3, count simultaneously according to Kirchhoff's law and, can obtain
(1)
The general solution of above formula is
(2)
In formula
(3)
(4)
WhereinL i WithR i Respectivelyi (i=a, b, c) phase commutation inductance and commutating resistance；i d For DC current；U 1For fundamental wave
Line voltage virtual value；MFor constant coefficient.
By initial conditioni aAt the end of=0, and commutationi a=i dSubstitution formula（2）, obtain
(5)
In formulaα 1Withμ 1Respectively converter valve V1Trigger Angle and angle of overlap.
Formula（5）For angle of overlapμ 1Transcendental equation, bring each phase parameter of AC system into it, you can iteration obtain meter and change
Convertor transformer asymmetrical three-phase, electrical network be asymmetric and angle of overlap during asymmetric Trigger Angle.
3. 3 pulsation inductor models design
With converter valve V1、V5、V9As a example by the three-phase half-bridge circuit of composition, when converter valve V9To converter valve V1During commutation（Such as Fig. 3 institutes
Show）, commutation inductance is
(6)
WhereinL iForiPhase (i ,j = a , b , c) commutation inductance, calculating formula is as follows
(7)
WhereinL TFor converter power transformer leakage inductance；L sFor network equivalence inductance；L fFor alternating current filter equivalent inductance.
During the not commutation of 3 converter valves, the inductance of each three-phase half-bridge circuit is
(8)
The conducting situation of each converter valve in 1 power cycle is considered, using each three-phase half-bridge of Piecewise calculating inverter
3 pulsation inductance of circuit, concrete grammar is as follows：
By taking the three-phase half-bridge circuit that converter valve V1, V5, V9 are constituted as an example, there is following 6 works in each converter valve in a power cycle
Make interval：,,,
,,, therefore the average inductance of each three-phase half-bridge circuit is
(9)
In formulaα k 、μ k (k=1,5,9) it is respectively converter valveV kTrigger Angle and angle of overlap.
4. 3 ripple harmonic voltage source modelling
（1）WhenjIn opposite directionsiDuring phase commutation, converter valve V1、V5、V9The commutating voltage of the three-phase half-bridge circuit of composition is
(10)
In formulau i For converter transformer valve-sideiPhase voltage, i.e.,
(11)
In formulanFor overtone order；U niWithφ niRespectivelyiPhasenThe amplitude and phase angle of subharmonic voltage.
（2）During the not commutation of 3 converter valves, the voltage of above-mentioned three-phase half-bridge circuit is
(12)
In one power cycle, the output of the above-mentioned three-phase half-bridge circuit to constituting during by 3 commutations and during 3 not commutations
Voltage carries out Fourier decomposition, obtains
(13)
In formulau 3pFor 3 ripple harmonic voltage sources；U 3pnWithφ 3pnRespectivelynThe amplitude and phase angle of subharmonic voltage, calculates public
Formula is respectively
(14)
(15)
Subscript 0 represents DC component in formula；a nWithb nRespectivelynThe real part and imaginary part of subharmonic voltage, its calculating formula is
(16)
(17)
(18)
Formula（13）As 3 ripple harmonic voltage source models of three-phase half-bridge circuit, the model can be counted and Trigger Angle, angle of overlap not
Symmetry factor and the impact for exchanging background harmonicses, while the characteristic of any harmonic wave of Converter DC-side can also be reflected.
5. Example Verification
Method is designed by taking the bipolar HVDC engineering of the one group of 12 pulsation line commutation inverter composition in every pole as an example
Checking, the rated voltage of the engineering is ± 500kV, and rated power is 3000MW, and both sides current conversion station is configured with 4 groups of identical
11/13 and 24/36 double tunning alternating current filter, and 2 group of 12/24 double tunning DC filter, other operational factors such as institute of table 1
Show.
The current conversion station operational factor of table 1
。
Checking work is broadly divided into six steps：It is first depending on method for designing proposed by the present invention and sets up 12 pulsation line commutations changing
The direct current harmonic-model of stream device, i.e. the ripple harmonic model of modified model 3；Then direct-current polar individual harmonic current is calculated；Using 3 arteries and veins
The original design method of dynamic harmonic-model sets up the direct current harmonic-model of 12 pulsation line commutation inverters, i.e., existing 3 ripple harmonic
Model；Then direct-current polar individual harmonic current is calculated；The phantom of corresponding system is set up in PSCAD/EMTDC softwares,
And simulation calculation direct-current polar harmonic current；The direct-current polar harmonic current that two kind of 3 ripple harmonic model is calculated and PSCAD/
EMTDC simulation results are contrasted.
Straight-flow system of the test system under monopolar ground return operating mode as shown in figure 4, both sides current conversion stations AC system not
Symmetric parameter and electrical network background harmonicses setting value are shown in Table respectively 2 and table 3.Harmonic current contrast test point is direct-current polar outlet
(PR,PI).Harmonic current comparing result is as shown in table 4.
The asymmetry parameter of table 2
。
The electrical network background harmonic voltage of table 3
。
The direct-current polar harmonic current of table 4
。
From table 4,（1）The ripple harmonic model of modified model 3 of the present invention is not only able to calculating 3k（k=1,2,3…）It is secondary
Harmonic wave, while all non-3 can also be calculatedk（k=1,2,3…）Subharmonic, and existing 3 pulsation model can only then calculate 3k（k =
1,2,3…）Subharmonic；（2）The result of calculation of the present invention with simulation result closely, shows that the present invention can reflect electrical network
Impact of the asymmetric and background harmonicses to direct current harmonic wave, therefore existing method is compared with higher accuracy.Therefore, the present invention
It is a kind of with broader Harmonics Calculation scope, higher Harmonics Calculation accuracy, while considering that more harmonic distortions affect
The method for designing of the line commutation inverter direct current harmonic-model of factor.
Claims (4)
1. a kind of method for designing of line commutation inverter direct current harmonic-model, it is characterised in that including procedure below：
12 pulse conversion devices are equivalent to into the three-phase half-bridge circuit of 4 series connection, by each converter valve in a power cycle
It is divided into 6 working conditions, using the complete commutation for characterizing each three-phase half-bridge circuit of each working condition of Piecewise
Angle, inductance and voltage；And then the inductance meansigma methodss in a power cycle are asked for, 3 pulsation inductor models are set up, to three-phase half
The output voltage of bridge circuit carries out Fourier decomposition, forms 3 ripple harmonic voltage source models；Dai Weinan etc. is constituted on this basis
The three-phase half-bridge circuit harmonic-model of effect circuit form；Finally consider the stray capacitance over the ground of converter power transformer, form 12 and pulse
Line commutation inverter direct current harmonic-model.
2. the method for designing of line commutation inverter direct current harmonic-model as claimed in claim 1, it is characterised in that solve institute
The math equation for stating angle of overlap is：
Wherein,ωFor fundamental wave angular frequency,L i WithR i Respectivelyi (i=a, b, c) phase commutation inductance and commutating resistance,I d For straight
Stream electric current,U 1For fundamental wave line voltage virtual value,MFor constant coefficient,α 1Withμ 1Respectively converter valve V1Trigger Angle and angle of overlap.
3. the method for designing of line commutation inverter direct current harmonic-model as claimed in claim 1, it is characterised in that described 3
The design packet of pulsation inductor models contains procedure below：
（1）During the commutation process that two converter valves are simultaneously turned on three-phase half-bridge circuit, its inductance is
WhereinL iForiPhase (i ,j = a ,b,c) commutation inductance, determine that method is as follows
WhereinL Ti ForiThe converter power transformer leakage inductance of phase,L si ForiPhase network equivalence inductance,L Fi ForiCross streams wave filter etc.
Value inductance；
（2）During the not commutation of 3 converter valves, the inductance of three-phase half-bridge circuit is
（3）Consider the conducting situation of each converter valve in 1 power cycle, using Piecewise the 3 of three-phase half-bridge circuit are calculated
Pulsation inductance, its calculating formula is
Wherein,α q Withμ q (q=1,5,9) it is respectively converter valve V q Trigger Angle and angle of overlap.
4. the method for designing of line commutation inverter direct current harmonic-model as claimed in claim 1, it is characterised in that described 3
The design of ripple harmonic voltage source includes procedure below：
（1）WhenjIn opposite directionsi (i ,j = a ,b ,c )During phase commutation, converter valveV 1、V 5、V 9The three-phase half-bridge circuit of composition
Commutating voltage be
In formulau i For converter transformer valve-sideiPhase voltage, i.e.,
WhereinnFor overtone order,U niWithφ niRespectivelyiPhasenThe amplitude and phase angle of subharmonic voltage；
（2）During the not commutation of 3 converter valves, the voltage of above-mentioned three-phase half-bridge circuit is
（3）In one power cycle, to the above-mentioned three-phase half-bridge circuit that constitutes during by 3 commutations and during 3 not commutations
Output voltage carries out Fourier decomposition, obtains
In formulau 3pFor 3 ripple harmonic voltage sources；U 3pnWithφ 3pnRespectivelynThe amplitude and phase angle of subharmonic voltage, calculates public
Formula is respectively
Wherein subscript 0 represents DC component,a nWithb nRespectivelynThe real part and imaginary part of subharmonic voltage, its calculating formula is
。
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Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109494705A (en) * | 2018-12-29 | 2019-03-19 | 国家电网有限公司 | Selection method and system of direct current filter for suppressing direct current side harmonic voltage |
| CN110995034A (en) * | 2019-12-11 | 2020-04-10 | 西安西电电力***有限公司 | Current sharing control method and device for parallel current sources |
| CN111639433A (en) * | 2020-06-02 | 2020-09-08 | 南方电网科学研究院有限责任公司 | Direct current filter design method and device based on electromagnetic transient simulation |
-
2016
- 2016-10-28 CN CN201610968262.6A patent/CN106570266A/en active Pending
Cited By (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109494705A (en) * | 2018-12-29 | 2019-03-19 | 国家电网有限公司 | Selection method and system of direct current filter for suppressing direct current side harmonic voltage |
| CN109494705B (en) * | 2018-12-29 | 2021-12-28 | 国家电网有限公司 | Selection method and system of direct current filter for suppressing direct current side harmonic voltage |
| CN110995034A (en) * | 2019-12-11 | 2020-04-10 | 西安西电电力***有限公司 | Current sharing control method and device for parallel current sources |
| CN111639433A (en) * | 2020-06-02 | 2020-09-08 | 南方电网科学研究院有限责任公司 | Direct current filter design method and device based on electromagnetic transient simulation |
| CN111639433B (en) * | 2020-06-02 | 2023-05-23 | 南方电网科学研究院有限责任公司 | DC filter design method and device based on electromagnetic transient simulation |
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