CN107086575B - A kind of generation method for the π type equivalent circuit considering three-phase imbalance factor - Google Patents
A kind of generation method for the π type equivalent circuit considering three-phase imbalance factor Download PDFInfo
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- CN107086575B CN107086575B CN201710341905.9A CN201710341905A CN107086575B CN 107086575 B CN107086575 B CN 107086575B CN 201710341905 A CN201710341905 A CN 201710341905A CN 107086575 B CN107086575 B CN 107086575B
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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
- H02J3/04—Circuit arrangements for ac mains or ac distribution networks for connecting networks of the same frequency but supplied from different sources
- H02J3/06—Controlling transfer of power between connected networks; Controlling sharing of load between connected networks
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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]
Abstract
The present invention relates to a kind of generation methods of π type equivalent circuit for considering three-phase imbalance factor, belong to electroporation field.This method executes following steps: step S1 establishes three-phase equivalent-circuit model；Step S2, derive exchange side three-phase current with exchange side three-phase voltage, DC voltage relational expression；Step S3, derive DC side electric current with exchange side three-phase voltage, DC voltage relational expression；Step S4 establishes the relational expression of DC current and AC-DC inverter alternating current-direct current side voltage；Step S5, the known variables that will be replaced in traditional equivalent impedance circuit model with the amount in the obtained relational expression in step S4 obtain the AC-DC inverter π type equivalent circuit of the consideration three-phase imbalance factor.The present invention greatly facilitates inverter is equivalent at admittance matrix in Load flow calculation, and exchanges side three-phase separate computations, can be realized the trend under three-phase imbalance.
Description
Technical field
The present invention relates to a kind of generation methods of π type equivalent circuit for considering three-phase imbalance factor, belong to electroporation
Field.
Background technique
As distributed generation resource quickly develops, state that power grid distributed generation resource high permeability will occur.In order to more preferable
Ground digests distributed generation resource, and the problems such as solution AC network off-capacity, direct current supply mode will be greatly developed.It hands over
Direct current mixed power supply system has huge real research significance as the transition stage of development.
Different from traditional Load flow calculation, AC/DC network introduces AC-DC converter station.And AC-DC converter station does not have at present
There is a complete power flow algorithm, the way of current main-stream is to distinguish iteration to AC and DC system in converter station two sides
It solves, but such way leads to none unified model with expression formula of alternating current-direct current trend.The key of problem exists
It is in how to solve that converter station is equivalent at a reasonable equivalent circuit.
In conclusion the application is dedicated to providing the generation method of an equivalent circuit, it is the trend meter of AC-DC converter station
It is convenient to calculate offer.
Summary of the invention
The technical problem to be solved by the present invention is in view of the shortcomings of the prior art, propose a kind of consideration three-phase imbalance factor
AC-DC inverter π type equivalent circuit generation method.
In order to solve the above-mentioned technical problem technical solution that the present invention proposes is: a kind of π considering three-phase imbalance factor
The generation method of type equivalent circuit, it is characterised in that execute following steps:
AC-DC inverter is divided into Loss impedance and ideal inverter by step S1, and Loss impedance and ideal inverter pass through
Dummy node connection, to establish three-phase equivalent-circuit model；
Step S2, according to the three-phase equivalent-circuit model derive exchange side three-phase current with exchange side three-phase voltage, directly
Flow side voltage relationship expression formula；
Exchange the relational expression between side three-phase current phasor and ac bus three-phase voltage phasor, DC bus-bar voltage
It is as follows:
Step S3, according to the three-phase equivalent-circuit model derive DC side electric current with exchange side three-phase voltage, DC side
Voltage relationship expression formula；
Relational expression between DC side electric current and ac bus three-phase voltage phasor, DC bus-bar voltage is as follows:
Formula in step S4, simultaneous S2, S3 establishes the relationship of DC current and AC-DC inverter alternating current-direct current side voltage
Expression formula, simultaneous result are as follows:
Step S5, using the method for equivalencing, amount replacement tradition in the relational expression obtained in step S4 etc.
The known variables being worth in impedance circuit model obtain the equivalent electricity of AC-DC inverter π type of the consideration three-phase imbalance factor
Road；
For ac bus three-phase voltage phasor；
VjFor DC bus-bar voltage；
To exchange side three-phase current phasor, the direction of the exchange side three-phase current is from effluent is exchanged to direct current
Side；
Y: inverter equivalent admittance；
For inverter no-load voltage ratio；
IjiFor DC side electric current, the orientation of the DC side electric current is that exchange side is flowed to from DC side；
VjFor DC bus-bar voltage.
The improvement of above-mentioned technical proposal is that the known variables in step 5 include: the branch of traditional equivalent impedance circuit
Three-phase current, DC current and three-phase voltage, DC voltage.
The improvement of above-mentioned technical proposal is that the derivation process in step 2 is as follows: establishing in ac bus and step S1 and introduces
Virtual bus between voltage-current relationship expression formula；According to the shift theory of inverter, the virtual of step S1 introducing is derived
The relational expression of voltage and current between bus and DC bus；Simultaneous relational expression above-mentioned obtains exchange side three-phase current phase
Amount and the relational expression between ac bus three-phase voltage phasor, DC bus-bar voltage.
The improvement of above-mentioned technical proposal is that the derivation process in step S3 is as follows: flat using AC-DC inverter both ends power
It weighs, the power balance equation of the virtual bus and DC bus that are introduced in establishment step S1；Using in ac bus and step S1
The voltage relationship of the virtual bus introduced eliminates the virtual busbar voltage that step S1 is introduced in power balance equation, using altogether
Yoke transformation, obtains the relational expression between DC side electric current and ac bus three-phase voltage phasor, DC bus-bar voltage.
The beneficial effect of the present invention by adopting the above technical scheme is: 1) present invention introduces virtual bus by step S1, empty
Impedance between quasi- bus and ac bus has with the difference and inverter that reflect ac bus voltage and inverter input voltage
Function loss；
2) due to the problem of branch admittance is seen as different value from exchange side and DC side in traditional inverter model, and this hair
The table that bright step S5 is established using the alternating current-direct current side voltage-current relationship expression formula of inverter conventional model and the method for this patent
It is compared up to formula, the admittance for replacing bad processing in the former solves the problems, such as this, to simplify problem encountered in Load flow calculation.
3) conventional model is replaced with into the equivalent electricity of the less π type of variable using the method for equivalence replacement in step S5 of the present invention
Road model, branch parameters contain only inverter no-load voltage ratio T in new modela、Tb、TcWith virtual resistance equivalent reactance.Therefore, greatly
Facilitate inverter is equivalent at admittance matrix in Load flow calculation, and exchange side three-phase separate computations, can be realized three-phase
Trend under uneven.
Detailed description of the invention
The present invention will be further explained below with reference to the attached drawings.
Fig. 1 is the AC-DC in the embodiment of the generation method for the π type equivalent circuit that the present invention considers three-phase imbalance factor
Inverter equivalent model schematic diagram.
Fig. 2 is that the tradition in the embodiment of the generation method for the π type equivalent circuit that the present invention considers three-phase imbalance factor is changed
Flow device circuit model schematic.
Fig. 3 is the inverter in the embodiment of the generation method for the π type equivalent circuit that the present invention considers three-phase imbalance factor
Three-phase π type Type Equivalent Circuit Model schematic diagram.
Specific embodiment
Embodiment
The considerations of the present embodiment three-phase imbalance factor AC-DC inverter π type equivalent circuit generation method, execute such as
Lower step:
AC-DC inverter is divided into Loss impedance and ideal inverter by step S1, and Loss impedance and ideal inverter pass through
Dummy node connection, to establish three-phase equivalent-circuit model, as shown in Figure 1；
Step S2, according to the three-phase equivalent-circuit model derive exchange side three-phase current with exchange side three-phase voltage, directly
Flow side voltage relationship expression formula；
Exchange the relational expression between side three-phase current phasor and ac bus three-phase voltage phasor, DC bus-bar voltage
It is as follows:
Step S3, according to the three-phase equivalent-circuit model derive DC side electric current with exchange side three-phase voltage, DC side
Voltage relationship expression formula；
Relational expression between DC side electric current and ac bus three-phase voltage phasor, DC bus-bar voltage is as follows:
Formula in step S4, simultaneous S2, S3 establishes the relationship of DC current and AC-DC inverter alternating current-direct current side voltage
Expression formula, simultaneous result are as follows:
Step S5 as shown in Figures 2 and 3, will be with the obtained relational expression in step S4 using the method for equivalencing
In amount replace the known variables in traditional equivalent impedance circuit model, obtain the AC- of the consideration three-phase imbalance factor
DC inverter π type equivalent circuit；
For ac bus three-phase voltage phasor；
VjFor DC bus-bar voltage；
To exchange side three-phase current phasor, the direction of the exchange side three-phase current is from effluent is exchanged to direct current
Side；
Y: inverter equivalent admittance；
For inverter no-load voltage ratio；
IjiFor DC side electric current, the orientation of the DC side electric current is that exchange side is flowed to from DC side；
VjFor DC bus-bar voltage.
The known variables in the step 5 of the present embodiment include: the branch three-phase current, straight of traditional equivalent impedance circuit
Galvanic electricity stream and three-phase voltage, DC voltage.
Derivation process in the step 2 of the present embodiment is as follows: establishing the virtual bus introduced in ac bus and step S1
Between voltage-current relationship expression formula；According to the shift theory of inverter, virtual bus and direct current that step S1 is introduced are derived
The relational expression of voltage and current between bus；Simultaneous relational expression above-mentioned obtain exchange side three-phase current phasor with exchange mother
Relational expression between line three-phase voltage phasor, DC bus-bar voltage.
Derivation process in the step S3 of the present embodiment is as follows: utilizing AC-DC inverter both ends power-balance, establishment step
The power balance equation of the virtual bus and DC bus that are introduced in S1；Utilize the virtual mother introduced in ac bus and step S1
The voltage relationship of line eliminates the virtual busbar voltage that step S1 is introduced in power balance equation, using conjugater transformation, obtains straight
Flow the relational expression between side electric current and ac bus three-phase voltage phasor, DC bus-bar voltage.
The amplitude and phase angle of ac bus three-phase voltage；
The amplitude and phase angle of virtual bus three-phase voltage；
Ysa ysb ysc: exchange side bus three-phase ground admittance；
Y1a y1b y1c: the inverter three-phase admittance in terms of exchange side；
Y2a y2b y2c: from the inverter three-phase admittance in terms of DC side；
Ysd: DC side grounding conductance.
The present invention is not limited to the above embodiment.All technical solutions formed using equivalent replacement, are all fallen within the present invention and wanted
The protection scope asked.
Claims (4)
1. a kind of generation method for the π type equivalent circuit for considering three-phase imbalance factor, it is characterised in that execute following steps:
AC-DC inverter is divided into Loss impedance and ideal inverter by step S1, and Loss impedance and ideal inverter pass through virtual
Node connection, to establish three-phase equivalent-circuit model；
Step S2, according to the three-phase equivalent-circuit model derive exchange side three-phase current with exchange side three-phase voltage, DC side
Voltage relationship expression formula；
Relational expression between exchange side three-phase current phasor and ac bus three-phase voltage phasor, DC bus-bar voltage is such as
Under:
Step S3, according to the three-phase equivalent-circuit model derive DC side electric current with exchange side three-phase voltage, DC voltage
Relational expression；
Relational expression between DC side electric current and ac bus three-phase voltage phasor, DC bus-bar voltage is as follows:
Formula in step S4, simultaneous S2, S3 establishes the relationship expression of DC current and AC-DC inverter alternating current-direct current side voltage
Formula, simultaneous result are as follows:
Step S5, the equivalent resistance of amount replacement tradition using the method for equivalencing, in the relational expression obtained in step S4
Known variables in reactive circuit model obtain the AC-DC inverter π type equivalent circuit of the consideration three-phase imbalance factor；
For ac bus three-phase voltage phasor；
VjFor DC bus-bar voltage；
To exchange side three-phase current phasor, the direction of the exchange side three-phase current is from effluent is exchanged to DC side；
Y: inverter equivalent admittance；
For inverter no-load voltage ratio；
IjiFor DC side electric current, the orientation of the DC side electric current is that exchange side is flowed to from DC side；
VjFor DC bus-bar voltage.
2. the generation method of the π type equivalent circuit according to claim 1 for considering three-phase imbalance factor, feature exist
In the known variables in step 5 include: branch three-phase current, DC current and the three-phase electricity of traditional equivalent impedance circuit
Pressure, DC voltage.
3. the generation method of the π type equivalent circuit according to claim 1 for considering three-phase imbalance factor, feature exist
In the derivation process in step 2 is as follows: the voltage and current established between the virtual bus introduced in ac bus and step S1 closes
It is expression formula；According to the shift theory of inverter, voltage and current between virtual bus and DC bus that derivation step S1 is introduced
Relational expression；Simultaneous relational expression above-mentioned obtain exchange side three-phase current phasor and ac bus three-phase voltage phasor,
Relational expression between DC bus-bar voltage.
4. the generation method of the π type equivalent circuit according to claim 1 for considering three-phase imbalance factor, feature exist
In the derivation process in step S3 is as follows: utilizing AC-DC inverter both ends power-balance, introduced in establishment step S1 virtual
The power balance equation of bus and DC bus；Using the voltage relationship of the virtual bus introduced in ac bus and step S1,
The virtual busbar voltage that step S1 is introduced in power balance equation is eliminated, using conjugater transformation, DC side electric current is obtained and hands over
Flow the relational expression between bus three-phase voltage phasor, DC bus-bar voltage.
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Citations (3)
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|---|---|---|---|---|
| CN101662217A (en) * | 2009-07-13 | 2010-03-03 | 华南理工大学 | Method for solving equivalent impedance frequency characteristic of HVDC transmission system converter |
| CN101814853A (en) * | 2010-04-27 | 2010-08-25 | 浙江大学 | Control method of modularization multi-level converter based on equivalent circuit model |
| CN101860037A (en) * | 2010-05-26 | 2010-10-13 | 浙江大学 | Determination method of network side harmonic current of high-voltage direct current power transmission system |
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2017
- 2017-05-16 CN CN201710341905.9A patent/CN107086575B/en active Active
Patent Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN101662217A (en) * | 2009-07-13 | 2010-03-03 | 华南理工大学 | Method for solving equivalent impedance frequency characteristic of HVDC transmission system converter |
| CN101814853A (en) * | 2010-04-27 | 2010-08-25 | 浙江大学 | Control method of modularization multi-level converter based on equivalent circuit model |
| CN101860037A (en) * | 2010-05-26 | 2010-10-13 | 浙江大学 | Determination method of network side harmonic current of high-voltage direct current power transmission system |
Non-Patent Citations (2)
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| Multiterminal voltage-sourced converter-based HVDC models for power flow analysis;Xiao-Ping Zhang;《IEEE Transactions on Power Systems》;20041101;第1877-1884页 |
| 含VSC-MTDC的交直流混合电网潮流计算模型及稀疏性处理技术;鲍威 等；;《电力自动化设备》;20160531;第36卷(第5期);第43-48页 |
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