CN106532767A - Small-interfering stability assessment method for power electronic single feed electric power system - Google Patents

Small-interfering stability assessment method for power electronic single feed electric power system Download PDF

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Publication number
CN106532767A
CN106532767A CN201610980073.0A CN201610980073A CN106532767A CN 106532767 A CN106532767 A CN 106532767A CN 201610980073 A CN201610980073 A CN 201610980073A CN 106532767 A CN106532767 A CN 106532767A
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power
short
feed
power system
circuit ratio
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辛焕海
董炜
李子恒
章雷其
章枫
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Zhejiang University ZJU
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Zhejiang University ZJU
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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
    • H02J3/38—Arrangements for parallely feeding a single network by two or more generators, converters or transformers

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

Abstract

The invention discloses a small-interfering stability assessment method for a power electronic single feed electric power system. The power electronic single feed electric power system is equivalent into a 2*2 dimensional multi-variable feedback system through a frequency domain modeling method of a Jacobian transfer function matrix; a closed-loop characteristic equation is obtained through establishment; a benchmark model of power electronic equipment is substituted into the closed-loop characteristic equation and converted into an explicit function form of a single-feed short-circuit ratio; by solving the equation, a critical short-circuit ratio and a relation curve between the short-circuit ratio and the weakest characteristic value damping ratio of the power electronic single feed electric power system are obtained; and by performing comparison between an actual short-circuit ratio and the critical short-circuit ratio, the small-interfering stability of the power electronic single feed electric power system is obtained by determination. The assessment method has clear physical mechanisms, and can accurately describe the small-interfering stability of the power electronic single feed electric power system, so that the assessment method can be applied to small-interfering stability determination in grid connection of single power electronic equipment, thereby achieving safe and stable operation of the power electronic single feed electric power system.

Description

A kind of power electronics list feed-in power system small signal stability appraisal procedure
Technical field
The present invention relates to a kind of small signal stability appraisal procedure, more particularly, to a kind of electric power electricity based on short-circuit ratio Sub- list feed-in power system small signal stability appraisal procedure.
Background technology
With the new energy such as the continuous consumption of fossil energy and increasingly sharpening for environmental crisis, photovoltaic generation, wind-power electricity generation Source proportion in electric structure is increasing, and a large amount of incoming transport electrical networks of new forms of energy are inevitable.When receiving end AC network it is weaker When, the coupling between power electronic equipment between system may cause system oscillation problem occur.How accurate evaluation power electronics The intensity of the AC network after equipment access, the small signal stability of the single feedthrough system of reflection, to ensureing power electronic equipment simultaneously Safe and stable operation after net is most important.
In the theoretical research and engineer applied of power electronics list feed-in power system, commonly use short-circuit ratio SCR index to carve The intensity and system of receiving end AC network when drawing the single power electronic equipment feed-in AC systems such as voltage source type converter, blower fan Small signal stability：SCR is bigger, and receiving end AC network is stronger, and system is more stable；Otherwise system is more unstable.With electric power electricity Sub- feed-in power system system be similar to, in ac and dc systemses, also using short-circuit ratio index come portray AC system intensity and The static electric voltage stability of system：The critical short-circuit ratio of single feed-in straight-flow system is 2, to distinguish weak pattern system and pole weak pattern system； Border short-circuit ratio is 3, to distinguish strong system and weak pattern system.But in the small interference stability of power electronics feed-in power system system In analysis, still without similar to critical short-circuit ratio in ac and dc systemses analysis and border short-circuit ratio so clearly index and correspondence Physical interpretation.
The content of the invention
To solve the above problems, the present invention proposes a kind of power electronics list feed-in power system small signal stability assessment Method, can make the explicit physical meaning of short-circuit ratio in power electronics list feed-in power system, i.e., with power electronics list feed-in electric power Small interference stability in system is directly connected, and can accurately judge power electronics list feed-in power system receiving end AC network Intensity.
Technical scheme adopts following steps：
1) by the Modeling In Frequency Domain method of Jacobi's transfer function matrix, by it is power electronics list feed-in power system equivalent into The multivariable feedback system of 2 × 2 dimensions, sets up and obtains the closed loop transform function of power electronics list feed-in power system,
2) the benchmark models of the definition of single feed-in short-circuit ratio SCR and power electronic equipment are substituted into into power electronics electricity In the closed loop transform function of power electronics list feed-in power system, and closed loop transform function is converted to into single feed-in short-circuit ratio SCR Explicit function form；
3) closed loop transform function of explicit function form is solved, power electronics list feed-in electric power under small interference stability meaning is obtained The relation curve of the damping ratio of critical short-circuit ratio CSCR of system and short-circuit ratio SCR and the most weak eigenvalue of system；
4) according to short-circuit ratio SCR and power electronics list feed-in electric power under power electronics list feed-in power system actual motion Critical short-circuit ratio CSCR of system compares and judges the small signal stability for obtaining power electronics list feed-in power system.
The closed loop transform function of described power electronics list feed-in power system is expressed as：
Wherein JGsS () represents the Jacobi transfer function matrix of power electronic equipment, JnetsS () represents the refined of AC network Gram than transfer function matrix, SBRepresent the reference capacity of power electronic equipment, GPθ(s)、GPU(s)、GQθ(s)、GQUS () represents electricity The element of power electronic equipment Jacobi's transfer function matrix, s represent Laplace operator, ω0Represent synchronous rotary speed, B tables Show the admittance of transmission line in receiving end AC system, UtRepresent the voltage of power electronic equipment load point, PgRepresent power electronic equipment The active power of output, QgThe reactive power of power electronic equipment output, the determinant of det representing matrixs
Specifically in the following ways：By the Jacobi transfer function matrix J of power electronic equipmentGsS () is passed as open loop Delivery function, by the Jacobi transfer function matrix J of AC networknetsThe inverse matrix of (s)As feedback transfer function, JGs (s) withConstitute closed loop multivariable feedback system.The power disturbance of power electronic equipment injection causes the electricity of AC system Pressure fluctuation, the fluctuation of AC system voltage affect the power of disturbance of power electronic equipment again in turn.
Described step 2) in, the closed loop transform function of single feed-in short-circuit ratio SCR explicit function form is below equation：
SCR2+ a (s) SCR+b (s)=0
Wherein, a (s) and b (s) represents first coefficient and the second coefficient of closed loop transform function, and expression formula difference is as follows：
Wherein, S represents the reference capacity of power electronic equipment, GPθ(s)、GPU(s)、GQθ(s)、GQUS () represents power electronics The element of equipment Jacobi's transfer function matrix, s represent Laplace operator, ω0Synchronous rotary speed is represented, B represents receiving end The admittance of transmission line, U in AC systemtRepresent the voltage of power electronic equipment load point, PgRepresent power electronic equipment output Active power, QgThe reactive power of power electronic equipment output, the determinant of det representing matrixs.
The step 3) it is that a series of short-circuit ratio SCR for taking different power electronics list feed-in power systems substitutes into single feed-in In the closed loop transform function of short-circuit ratio SCR explicit function form, make equation be zero eigenvalue for trying to achieve closed loop transform function, and obtain The damping ratio of eigenvalue, short-circuit ratio SCR of the power electronics list feed-in power system when damping ratio for taking most weak eigenvalue is 0 are made For critical short-circuit ratio CSCR of power electronics list feed-in power system, and make the short-circuit ratio of power electronics list feed-in power system The relation curve of the damping ratio of SCR and most weak eigenvalue.
A series of short-circuit ratio SCR of described power electronics list feed-in power systems is using multiple different short-circuit ratioes SCR, can equally spaced take short-circuit ratio SCR, or take different short-circuit ratioes SCR at random.
The step 2) in, according to the benchmark models of power electronic equipment, the Jacobi of power electronic equipment is passed Delivery function matrix element GPθ(s)、GPU(s)、GQθ(s) and GQUS () expression-form substitutes into closed loop transform function SCR2+a(s)SCR+b In (s)=0, the closed loop transform function that single feed-in short-circuit ratio SCR is explicit function form is obtained.
The step 4) it is specially：When actual short-circuit ratio SCR of power electronics list feed-in power system is more than critical short circuit During than CSCR, then power electronics list feed-in power system small interference stability；When actual short of power electronics list feed-in power system When road is less than critical short-circuit ratio CSCR than SCR, then the little interference of power electronics list feed-in power system is unstable；When power electronics list When actual short-circuit ratio SCR of feed-in power system is equal to critical short-circuit ratio CSCR, then power electronics list feed-in power system is little dry Disturb neutrality.And the difference by actual short-circuit ratio SCR with critical short-circuit ratio CSCR reflects power electronics list feed-in electric power The small interference stability nargin of system, difference are bigger, and small interference stability nargin is bigger.
The step 4) also by the resistance that actual short is corresponded to single feed-in short-circuit ratio SCR and most weak eigenvalue than SCR The damping ratio of the actual short most weak eigenvalue more corresponding than SCR during Buddhist nun is than relation curve, is obtained, small signal stability knot is obtained Really.
When the control mode mode and control parameter of a kind of power electronic equipment all determine, according to power electronic equipment Critical short-circuit ratio CSCR and feed-in short-circuit ratio SCR that bencmark models are obtained is bent with the damping ratio relation of the most weak eigenvalue of system Determine during line constant.Therefore whether stably the inventive method judges system using critical short-circuit ratio CSCR, and using SCR be The size for obtaining system stability nargin of the damping ratio relation curve of the most weak eigenvalue of system.
The invention has the beneficial effects as follows：
The short-circuit ratio of power electronics list feed-in power system directly can be connected by the present invention with small interference stability so that The explicit physical meaning of single feed-in short-circuit ratio, and can accurately judge the small signal stability of power electronics list feed-in power system, Run power electronics list feed-in power system safety and stability.
Description of the drawings
Schematic flow sheets of the Fig. 1 for the inventive method.
Equivalent multivariable feedback controller block diagrams of the Fig. 2 for the inventive method power electronics list feed-in power system.
Fig. 3 is the Dai Weinan isoboleses of power electronics list feed-in power system in embodiment of the present invention simulating, verifying.
The PQ control block diagrams that Fig. 4 is used for classic inverter in embodiment of the present invention simulating, verifying.
Fig. 5 is the relation curve of short-circuit ratio and the most weak eigenvalue damping ratio of system in embodiment of the present invention simulating, verifying.
Specific embodiment
Below in conjunction with the accompanying drawings and specific embodiment is described in further detail to the present invention.
As shown in figure 1, being processed using the inventive method, calculated according to the benchmark models of power electronic equipment Critical short-circuit ratio CSCR is obtained, and makes the relation curve of short-circuit ratio SCR and the damping ratio of the most weak eigenvalue of system.According to system Short-circuit ratio SCR judges the small signal stability of system, judges the size of system stability nargin according to the difference of SCR and CSCR.
The specific embodiment of the present invention is as follows：
The equivalent electric of power electronics list feed-in power system as shown in Figure 3 is set up in Matlab/Simulink softwares Road.Power electronic equipment in system is a kind of typical voltage source inverter.Inverter is controlled using PQ, as shown in Figure 4. In figure, each variable meaning is as shown in table 1 below：
1 PQ of table control inverter variable correspondence tables
The parameter value of PQ control inverter variables is as shown in table 2 below：
The parameter value of system variable in 2 embodiment simulating, verifying of table
Fig. 5 is the relation curve of short-circuit ratio SCR and the most weak eigenvalue damping ratio of system in embodiment of the present invention simulating, verifying, Relation shown in figure is that system short-circuit is bigger than SCR, and the damping ratio of the most weak eigenvalue of system is bigger.Fig. 5 has marked system simultaneously Critical short-circuit ratio CSCR be 6.58.Therefore, when the actual SCR values of system are more than 6.58, system small interference stability；Work as system Actual SCR values be more than 6.58 when, system neutrality；When the actual SCR values of system are less than 6.58, system is unstable.
Assume, in system operation, to need to meet stability margin requirement of the most weak eigenvalue damping ratio of system more than 0.03. According to Fig. 5 it can be seen that corresponding short-circuit ratio SCR is 7.17 when the most weak eigenvalue damping ratio of system is equal to 0.03.Therefore, when being When the actual SCR values of system are more than 7.17, system has enough stability margins；When the actual SCR values of system are more than 6.58 but little When 7.17, system small interference stability, but there is no enough stability margins.
Therefore implement from more than, the short-circuit ratio of the present invention can effectively reflect the small signal stability of single feedthrough system, The difference of system SCR value and CSCR values can effectively reflect the stability margin of system, and its Physical Mechanism clearly, can accurate description butterfly Small signal stability, can be applicable to single power electronic equipment it is grid-connected when small signal stability judgement, make system safety and stability Operation.
The present invention is limited, and in the protection domain of spirit and claims of the present invention, what the present invention was made appoints What modifications and changes, both falls within protection scope of the present invention.

Claims (8)

1. a kind of power electronics list feed-in power system small signal stability appraisal procedure, it is characterised in that comprise the following steps：
1) by the Modeling In Frequency Domain method of Jacobi's transfer function matrix, will be power electronics list feed-in power system equivalent into 2 × 2 The multivariable feedback system of dimension, foundation obtain the closed loop transform function of power electronics list feed-in power system,
2) closed loop for the benchmark models of power electronic equipment being substituted into power electronics power electronics list feed-in power system is special Levy in equation, and closed loop transform function is converted to the explicit function form of single feed-in short-circuit ratio SCR；
3) closed loop transform function of explicit function form is solved, power electronics list feed-in power system under small interference stability meaning is obtained Critical short-circuit ratio CSCR and short-circuit ratio SCR and the most weak eigenvalue of system damping ratio relation curve；
4) according to short-circuit ratio SCR under power electronics list feed-in power system actual motion and power electronics list feed-in power system Critical short-circuit ratio CSCR compare and judge to obtain the small signal stability of power electronics list feed-in power system.
2. a kind of power electronics list feed-in power system small signal stability appraisal procedure according to claim 1, which is special Levy and be：The closed loop transform function of described power electronics list feed-in power system is expressed as：
Wherein, JGsS () represents the Jacobi transfer function matrix of power electronic equipment, JnetsS () represents the Ya Ke of AC network Than transfer function matrix, SBRepresent the reference capacity of power electronic equipment, GPθ(s)、GPU(s)、GQθ(s)、GQUS () represents electric power The element of electronic equipment Jacobi's transfer function matrix, s represent Laplace operator, ω0Synchronous rotary speed is represented, B is represented The admittance of transmission line, U in receiving end AC systemtRepresent the voltage of power electronic equipment load point, PgRepresent that power electronic equipment is defeated The active power for going out, QgThe reactive power of power electronic equipment output, the determinant of det representing matrixs.
3. a kind of power electronics list feed-in power system small signal stability appraisal procedure according to claim 1, which is special Levy and be：The step 1) in by it is power electronics list feed-in power system equivalent into 2 × 2 dimension multivariable feedback systems specifically In the following ways：By the Jacobi transfer function matrix J of power electronic equipmentGs(s) as open-loop transfer function, by AC network The Jacobi transfer function matrix J of networknetsThe inverse matrix of (s)As feedback transfer function, JGs(s) withConstitute Closed loop multivariable feedback system.
4. a kind of power electronics list feed-in power system small signal stability appraisal procedure according to claim 1, which is special Levy and be：Described step 2) in, the closed loop transform function of single feed-in short-circuit ratio SCR explicit function form is below equation：
SCR2+ a (s) SCR+b (s)=0
Wherein, a (s) and b (s) represents first coefficient and the second coefficient of closed loop transform function, and expression formula difference is as follows：
a ( s ) = ω 0 4 + s 2 ω 0 2 U t 4 ( s 2 + ω 0 2 ) 2 { - ω 0 2 s 2 + ω 0 2 [ G P θ ( s ) + G Q U ( s ) ] + sω 0 s 2 + ω 0 2 [ G Q θ ( s ) - G P U ( s ) ] } b ( s ) = ω 0 4 + s 2 ω 0 2 U t 4 ( s 2 + ω 0 2 ) { G P θ ( s ) G Q U ( s ) - G P U ( s ) G Q θ ( s ) + [ G Q U ( s ) - G P θ ( s ) ] Q g + [ G P U ( s ) + G Q θ ( s ) ] P g - P g 2 - Q g 2 }
Wherein, S represents the reference capacity of power electronic equipment, GPθ(s)、GPU(s)、GQθ(s)、GQUS () represents power electronic equipment The element of Jacobi's transfer function matrix, s represent Laplace operator, ω0Synchronous rotary speed is represented, B represents that receiving end is exchanged The admittance of transmission line, U in systemtRepresent the voltage of power electronic equipment load point, PgRepresent the active of power electronic equipment output Power, QgThe reactive power of power electronic equipment output, the determinant of det representing matrixs.
5. a kind of power electronics list feed-in power system small signal stability appraisal procedure according to claim 1, which is special Levy and be：The step 3) it is that a series of short-circuit ratio SCR for taking different power electronics list feed-in power systems substitutes into single feed-in In the closed loop transform function of short-circuit ratio SCR explicit function form, make equation be zero eigenvalue for trying to achieve closed loop transform function, and obtain The damping ratio of eigenvalue, short-circuit ratio SCR of the power electronics list feed-in power system when damping ratio for taking most weak eigenvalue is 0 are made For critical short-circuit ratio CSCR of power electronics list feed-in power system, and make the short-circuit ratio of power electronics list feed-in power system The relation curve of the damping ratio of SCR and most weak eigenvalue.
6. a kind of power electronics list feed-in power system small signal stability appraisal procedure according to claim 1, which is special Levy and be：The step 2) in, according to the benchmark models of power electronic equipment, the Jacobi of power electronic equipment is passed Delivery function matrix element GPθ(s)、GPU(s)、GQθ(s) and GQUS () expression-form substitutes into closed loop transform function SCR2+a(s)SCR+b In (s)=0, the closed loop transform function that single feed-in short-circuit ratio SCR is explicit function form is obtained.
7. a kind of power electronics list feed-in power system small signal stability appraisal procedure according to claim 1, which is special Levy and be：The step 4) it is specially：
When actual short-circuit ratio SCR of power electronics list feed-in power system is more than critical short-circuit ratio CSCR, then power electronics list Feed-in power system small interference stability,
When actual short-circuit ratio SCR of power electronics list feed-in power system is less than critical short-circuit ratio CSCR, then power electronics list The little interference of feed-in power system is unstable；
When actual short-circuit ratio SCR of power electronics list feed-in power system is equal to critical short-circuit ratio CSCR, then power electronics list The little interference neutrality of feed-in power system；
And the little of power electronics list feed-in power system is reflected with the difference of critical short-circuit ratio CSCR by actual short-circuit ratio SCR Interference stability nargin, difference are bigger, and small interference stability nargin is bigger.
8. a kind of power electronics list feed-in power system small signal stability appraisal procedure according to claim 1 or 7, its It is characterised by：The step 4) by actual short-circuit ratio SCR to be corresponded to the resistance of single feed-in short-circuit ratio SCR and most weak eigenvalue The damping ratio of the actual short most weak eigenvalue more corresponding than SCR during Buddhist nun is than relation curve, is obtained, small signal stability knot is obtained Really.
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CN109245148A (en) * 2018-11-19 2019-01-18 清华大学 A kind of voltage stability distinguishing method of flexible direct current access power grid
CN109412203A (en) * 2018-11-02 2019-03-01 浙江大学 A kind of more feed-in electric system grid connection capacity Limit Calculation Methods of wind-powered electricity generation
CN109494764A (en) * 2018-11-02 2019-03-19 浙江大学 A kind of more feed-in power system small signal stability appraisal procedures of power electronics
CN115561668A (en) * 2021-07-02 2023-01-03 中国电力科学研究院有限公司 Method and system for testing limit short-circuit ratio of new energy power generation unit

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JP2014226439A (en) * 2013-05-24 2014-12-08 朝日レントゲン工業株式会社 X-ray imaging apparatus
CN105914783A (en) * 2016-05-10 2016-08-31 西安交通大学 Island type microgrid small interference stability analysis method

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Cited By (7)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN109412203A (en) * 2018-11-02 2019-03-01 浙江大学 A kind of more feed-in electric system grid connection capacity Limit Calculation Methods of wind-powered electricity generation
CN109494764A (en) * 2018-11-02 2019-03-19 浙江大学 A kind of more feed-in power system small signal stability appraisal procedures of power electronics
CN109412203B (en) * 2018-11-02 2020-08-11 浙江大学 Grid-connected capacity limit calculation method for wind power multi-feed-in power system
CN109245148A (en) * 2018-11-19 2019-01-18 清华大学 A kind of voltage stability distinguishing method of flexible direct current access power grid
CN109245148B (en) * 2018-11-19 2021-10-26 清华大学 Voltage stability judging method for flexible direct current access power grid
CN115561668A (en) * 2021-07-02 2023-01-03 中国电力科学研究院有限公司 Method and system for testing limit short-circuit ratio of new energy power generation unit
CN115561668B (en) * 2021-07-02 2024-06-11 中国电力科学研究院有限公司 New energy power generation unit limit short circuit ratio test method and system

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Application publication date: 20170322