CN105811408B - Towards the harmonic energy transfer function modeling method of MMC current conversion stations - Google Patents
Towards the harmonic energy transfer function modeling method of MMC current conversion stations Download PDFInfo
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/30—Circuit design
- G06F30/36—Circuit design at the analogue level
- G06F30/367—Design verification, e.g. using simulation, simulation program with integrated circuit emphasis [SPICE], direct methods or relaxation methods
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/36—Arrangements for transfer of electric power between ac networks via a high-tension dc link
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J2203/00—Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
- H02J2203/20—Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]
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- Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
- Y02E60/00—Enabling technologies; Technologies with a potential or indirect contribution to GHG emissions mitigation
- Y02E60/60—Arrangements for transfer of electric power between AC networks or generators via a high voltage DC link [HVCD]
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Abstract
A kind of harmonic energy transfer function modeling method towards MMC current conversion stations, belong to power transmission technology field.The purpose of the present invention is that the harmonic energy transfer function modeling method towards MMC current conversion stations of ac and dc systemses combined hybrid system MMC current conversion station harmonic energy transmittance process is established the shortcomings that can not obtaining MMC current conversion station harmonic energy transmission functions using Harmonic Injection Method analysis waveform frequency spectrum for current flexible direct current power transmission system.Step of the present invention is：Harmonic signal, time-domain-simulation and extraction data are added in more level both-end flexible direct current power transmission systems, curve integration, are changedxNumerical value, draw energy curve, calculate harmonic energy transmission function, curve amendment.The present invention has filled up the blank of the harmonic energy transfer function modeling of Ac/dc Power Systems MMC current conversion stations, and effective analysis means are provided for the Ac/dc Power Systems quality of power supply research comprising MMC current conversion stations.
Description
Technical field
The invention belongs to power transmission technology field.
Background technology
In high pressure flexible direct current transmission system, AC system harmonic wave can by converter power transformer through MMC transverters to
DC side transmission.When the intrinsic frequency of MMC transverters is same or like with harmonic frequency, resonance easily occurs for system, causes
The fluctuation of DC voltage, electric current, system can be caused to shake when serious, cause the quality of power supply to deteriorate.If these harmonic waves can not add
Effectively to suppress, then the communication apparatus along pair can be connected with current conversion station DC line and DC line constitutes a threat to, to soft
The quality of power supply of property DC transmission system causes serious harm.
Energy transfer process of the harmonic wave between ac and dc systemses is influenceed by many factors.With line parameter circuit value and terminal
The difference of load, the change of carry-over factor is more complicated, the changing rule do not fixed.Between AC and DC side harmonics
The calculating of relation and the positive sequence of AC and negative sequence component are relevant, in the harmonic wave that AC system is transmitted by DC circuit
Amplitude also influenceed by smoothing reactor and wave filter, also influenceed by DC circuit induction reactance.It is past during harmonic propagation
Toward m-Acetyl chlorophosphonazo is produced, compared with traditional harmonic wave, the suppression and improvement of m-Acetyl chlorophosphonazo are more difficult.
Because MMC inverter insides contain a large amount of non-linear elements (submodule of such as valve group and electric capacity monomer composition), point
It is more complicated during analysis description MMC transverter harmonic energy transmission characteristics.At present, on Traditional DC transmission system harmonic propagation
Research is mostly based on Harmonic Injection Method, i.e., applies alternating-current voltage source, the Impetus of Current Source of different frequency in the AC of system, right
DC voltage, electric current carry out Fourier decomposition, and analysis obtains the harmonic wave frequency and content that DC side responds out.Such research is more
The angle concentrated on from the spectrum energy distribution of response signal is analyzed traditional current conversion station harmonic propagation characteristic, it is impossible to is obtained
The harmonic energy transmission function of flexible direct current power transmission system, it can not intuitively characterize the harmonic energy of high pressure flexible direct current transmission system
The rule of transmission.
The content of the invention
The purpose of the present invention is can not using Harmonic Injection Method analysis waveform frequency spectrum for current flexible direct current power transmission system
The shortcomings that obtaining MMC current conversion station harmonic energy transmission functions, establish ac and dc systemses combined hybrid system MMC current conversion station harmonic energies
The harmonic energy transfer function modeling method towards MMC current conversion stations of transmittance process.
Step of the present invention is：
1. add harmonic signal in more level both-end flexible direct current power transmission systems：It is a series of in the side addition of system exchange valve
The harmonic current driving source of hybrid frequency, the mathematic(al) representation of driving source are as follows：
（1）
In formulaFor proportionality coefficient,For the amplitude of driving source,fFor working frequency 50Hz,nFor overtone order,
To apply the initial phase angle of driving source；
2. time-domain-simulation and extraction data：Time domain is carried out to the more level both-end flexible direct current power transmission system models built
Emulation, monitors the electrical quantity to be studied in real time；After applying driving source, ac harmonic currents are delivered to direct current by rectifier
Side, DC currentCan be with formula（1）The change of driving source and change, the excitation source forcing of different content can respond out different numbers
The DC current values of value；Extraction system DC currentThe data of steady-state process；
3. curve integrates：Integral Processing, the DC current that will 2. extract are carried out to dc current waveform of the system after stableData form matrix, the DC current extracted using trapz function pairsThe data of steady-state process are integrated, and are accumulated with this
Divide and be expressed as in the case where current hybrid frequency harmonic current encourages source forcing, system dc electric currentIn contained energy hunting；
4. changexNumerical value：Repeat above-mentioned steps 2. to 3., computing system DC current energy hunting；To keep away
Exempt from that harmonic content is too high to cause system unstable, the amplitude proportion coefficient of harmonic current sourcexSetting system should be made to be maintained at steady
Determine in scope, i.e.,；The increase of equal proportion or the amplitude for reducing hybrid frequency harmonic current driving source, computing system
DC currentContained energy hunting after stable；
5. drawing energy curve, harmonic energy transmission function is calculated：Using Gauss interpolation method to energy hunting dataEnter
Row curve matching, obtains energy function curve；For in DC current under the mixing harmonic current excitation source forcing of different amplitudes
Contained energy, draw excitation energy-response energy curve；The X-axis of curve is the energy contained by hybrid frequency driving source
Amount, Y-axis is DC currentWave energy；The transmission function of harmonic energy is calculated using Gaussian interpolation formula, in formula, a, b, c are undetermined coefficient, and M applies the amplitude of harmonic current driving source；
6. curve amendment：The energy curve 5. drawn out according to step, intensive adopt is taken to the part of curve data mutation
Sample, i.e., continue equal proportion in the part and change to apply the amplitude of hybrid frequency driving source, 5. repeat step is 2. to, calculating this portion
The energy contained by corresponding DC current, corrected transient energy function curve are encouraged in shunt excitation；In view of the fluctuation of energy function is larger, use
Piecewise function form carries out second-order correction to energy curve, obtains accuracy higher energy function curve and energy function。
The present invention builds more level both-end flexible direct current power transmission systems comprising complete control system in analogue system,
The combined hybrid system AC adds the ac harmonic currents source of different frequency, extraction system DC side current data.To extracting
Data take absolute value after integrate, obtain the harmonic energy contained in system dc electric current, it is bent to energy using Gauss interpolation method
Line is fitted.Energy function curve is once corrected using intensive sampling method, using piecewise function method to energy function
Curve carries out second-order correction to improve the precision of fitting.And then obtain the harmonic energy transmission function of series-parallel connection ac and dc systemses.Should
Method has filled up the blank of the harmonic energy transfer function modeling of Ac/dc Power Systems MMC current conversion stations, to include MMC current conversion stations
Ac/dc Power Systems quality of power supply research provide effective analysis means.
Brief description of the drawings
Fig. 1 is the topology diagram of MMC transverters；
Fig. 2 is that the harmonic energy of MMC current conversion stations transmits figure；
Fig. 3 is to transmit a correction pattern of the figure using intensive sampling method for harmonic energy；
Fig. 4（1）The first paragraph of piecewise function method second-order correction figure is used for a correction pattern（0-0.2）Amendment
Figure；
Fig. 4（2）The second segment of piecewise function method second-order correction figure is used for a correction pattern（0.2-0.3）Repair
Positive figure；
Fig. 4（3）The 3rd section of piecewise function method second-order correction figure is used for a correction pattern（0.3-0.6）Repair
Positive figure；
Fig. 4（4）The 4th section of piecewise function method second-order correction figure is used for a correction pattern（0.6-0.7）Repair
Positive figure；
Fig. 4（5）The 5th section of piecewise function method second-order correction figure is used for a correction pattern（0.7-1.0）Repair
Positive figure.
Embodiment
Step of the present invention is：
More level both-end flexible direct current power transmission systems comprising complete control system are built in simulation software.System etc.
It is as shown in Figure 1 to imitate model.
1. add harmonic signal in more level both-end flexible direct current power transmission systems：It is a series of in the side addition of system exchange valve
The harmonic current driving source of hybrid frequency, the amplitude proportion of driving source provided by the national quality of power supply in requirement setting.Excitation
The mathematic(al) representation in source is as follows：
（1）
In formulaFor proportionality coefficient,For the amplitude of driving source,fFor working frequency 50Hz,nFor overtone order,
To apply the initial phase angle of driving source；
2. time-domain-simulation and extraction data：Time domain is carried out to the more level both-end flexible direct current power transmission system models built
Emulation, monitors the electrical quantity to be studied in real time；After applying driving source, ac harmonic currents are delivered to direct current by rectifier
Side, DC currentCan be with formula（1）The change of driving source and change, the excitation source forcing of different content can respond out different numbers
The DC current values of value；Extraction system DC currentThe data of steady-state process；
3. curve integrates：Integral Processing, the DC current that will 2. extract are carried out to dc current waveform of the system after stableData form matrix, the DC current extracted using trapz function pairsThe data of steady-state process are integrated, and are accumulated with this
Divide and be expressed as in the case where current hybrid frequency harmonic current encourages source forcing, system dc electric currentIn contained energy hunting；
4. changexNumerical value：Repeat above-mentioned steps 2. to 3., computing system DC current energy hunting；To keep away
Exempt from that harmonic content is too high to cause system unstable, the amplitude proportion coefficient of harmonic current sourcexSetting system should be made to be maintained at steady
Determine in scope, i.e.,；The increase of equal proportion or the amplitude for reducing hybrid frequency harmonic current driving source, computing system
DC currentContained energy hunting after stable；
5. drawing energy curve, harmonic energy transmission function is calculated：Using Gauss interpolation method to energy hunting dataEnter
Row curve matching, obtains energy function curve；For in DC current under the mixing harmonic current excitation source forcing of different amplitudes
Contained energy, draw excitation energy-response energy curve；The X-axis of curve is the energy contained by hybrid frequency driving source
Amount, Y-axis is DC currentWave energy；The transmission function of harmonic energy is calculated using Gaussian interpolation formula, in formula, a, b, c are undetermined coefficient, and M applies the amplitude of harmonic current driving source；
6. curve amendment：The energy curve 5. drawn out according to step, intensive adopt is taken to the part of curve data mutation
Sample, i.e., continue equal proportion in the part and change to apply the amplitude of hybrid frequency driving source, 5. repeat step is 2. to, calculating this portion
The energy contained by corresponding DC current, corrected transient energy function curve are encouraged in shunt excitation；In view of the fluctuation of energy function is larger, use
Piecewise function form carries out second-order correction to energy curve, obtains accuracy higher energy function curve and energy function。
Embodiment 1：
The position that the harmonic current source of reference picture 1 applies, apply the ac current source of the different frequencys in the opening position, whereinnFor overtone order, its value is 3,5,7,9,
11,13,15,17,19；To apply 0 ° of the initial phase angle of driving source；Distinguish for driving source amplitude, value 9.6,
9.6,6.8,3.2,4.3,3.7,1.9,2.8,0.6.According to above-mentioned steps 2. to 5., equal proportion changes harmonic current source ratio system
Number, amplitude is by 0.1, 0.2Increase to.Data needed for extraction experiment, and data are taken definitely
Integral Processing obtains the energy hunting of harmonic wave in DC current after value。
The energy of harmonic wave in the lower DC current of 1 different harmonic energies of table injection
Above-mentioned data are fitted according to Gauss interpolation method, obtain the harmonic energy transfer curve of series-parallel connection ac and dc systemses,
As shown in Figure 2.Using intensive sampling method, continue to change the proportionality coefficient of harmonic current source, amplitude by、Increase to, it is as shown in Figure 3 that once amendment is carried out to obtained function curve.Obtained by second-order correction
Figure find out that energy function curve change is irregular, and curve is formed by five sections, and every section of accurately function is sought using piecewise function method
Expression formula, obtain such as Fig. 4 of the function curve after second-order correction（1）, Fig. 4（2）, Fig. 4（3）, Fig. 4（4）Fig. 4（5）It is shown.Finally give series-parallel connection
The accurate harmonic energy transmission function of alternating current-direct current。,,,,。
It is clear that by Fig. 2, Fig. 3, Fig. 4, in the case where the AC of system has harmonic current injection, harmonic wave warp
Converter power transformer is delivered to the energy of DC side by MMC transverters, is controlled by the energy of AC harmonic injection.Pass through Gauss
Interpolation method matched curve obtains the harmonic energy function curve of series-parallel connection ac and dc systemses, tries to achieve series-parallel connection using piecewise function method and hands over directly
The harmonic energy transmission function of streaming system.The present invention establishes the harmonic energy transfer function modeling method of MMC current conversion stations.
Claims (1)
- A kind of 1. harmonic energy transfer function modeling method towards MMC current conversion stations, it is characterised in that：Its step is：1. add harmonic signal in more level both-end flexible direct current power transmission systems：A series of mixing are added in system exchange valve side The harmonic current driving source of frequency, the mathematic(al) representation of driving source are as follows：（1）In formulaFor proportionality coefficient,For the amplitude of driving source,fFor working frequency 50Hz,nFor overtone order,To apply The initial phase angle of driving source；2. time-domain-simulation and extraction data：Time domain is carried out to the more level both-end flexible direct current power transmission system models built to imitate Very, the electrical quantity to be studied is monitored in real time；After applying driving source, ac harmonic currents are delivered to direct current by rectifier Side, DC currentCan be with formula（1）The change of driving source and change, the excitation source forcing of different content can respond out different numbers The DC current values of value；Extraction system DC currentThe data of steady-state process；3. curve integrates：Integral Processing, the DC current that will 2. extract are carried out to dc current waveform of the system after stableNumber According to matrix is formed, the DC current of trapz function pairs extraction is utilizedThe data of steady-state process are integrated, with the integral representation Under encouraging source forcing in current hybrid frequency harmonic current, system dc electric currentIn contained energy hunting；4. changexNumerical value：Repeat above-mentioned steps 2. to 3., computing system DC current energy hunting；It is humorous to avoid Ripple too high levels cause system unstable, the amplitude proportion coefficient of harmonic current sourcexSetting system should be made to be maintained at stable model In enclosing, i.e.,；The increase of equal proportion or the amplitude for reducing hybrid frequency harmonic current driving source, computing system direct current Electric currentContained energy hunting after stable；5. drawing energy curve, harmonic energy transmission function is calculated：Using Gauss interpolation method to energy hunting dataMarch Line is fitted, and obtains energy function curve；For contained in DC current under the mixing harmonic current excitation source forcing of different amplitudes Some energy, draw excitation energy-response energy curve；The X-axis of curve is the energy contained by hybrid frequency driving source, Y-axis is DC currentWave energy；The transmission function of harmonic energy is calculated using Gaussian interpolation formula, in formula, a, b, c are undetermined coefficient, and M applies the amplitude of harmonic current driving source；6. curve amendment：The energy curve 5. drawn out according to step, intensive sampling is taken to the part of curve data mutation, i.e., Continue equal proportion in the part and change to apply the amplitude of hybrid frequency driving source, 2. repeat step is swashed to 5., calculating this part Energy corresponding to encouraging contained by DC current, corrected transient energy function curve；In view of the fluctuation of energy function is larger, using segmentation Functional form carries out second-order correction to energy curve, obtains accuracy higher energy function curve and energy function。
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| CN106569039B (en) * | 2016-11-15 | 2019-10-11 | 东北电力大学 | MMC converter station harmonic wave unidirectional delivery characteristic analysis method |
| CN107907737A (en) * | 2017-10-16 | 2018-04-13 | 国网浙江省电力公司电力科学研究院 | A kind of watt metering method and system based on index time-domain function |
| CN108256252A (en) * | 2018-01-29 | 2018-07-06 | 中国电力科学研究院有限公司 | A kind of electromagnetical transient emulation method and system based on wave filter |
| CN111276994B (en) * | 2020-03-02 | 2021-12-28 | 中国电建集团华东勘测设计研究院有限公司 | Method for analyzing response characteristics of rectifying side converter of offshore converter station to harmonic waves |
| CN112018768B (en) * | 2020-07-23 | 2022-03-08 | 南方电网科学研究院有限责任公司 | Method and device for analyzing harmonic transfer characteristics of multi-terminal flexible direct-current power transmission system |
| CN113541142A (en) * | 2021-06-10 | 2021-10-22 | 中国电建集团华东勘测设计研究院有限公司 | Method for analyzing response characteristics of onshore converter station to harmonic waves and optimizing parameters |
| CN113394782B (en) * | 2021-06-23 | 2022-11-29 | 东北电力大学 | Industrial park harmonic monitoring method based on APF direct-current voltage information inversion |
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