CN111786381B - Thevenin equivalent parameter analysis and calculation method for wind power-containing power system - Google Patents

Thevenin equivalent parameter analysis and calculation method for wind power-containing power system Download PDF

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CN111786381B
CN111786381B CN202010524815.5A CN202010524815A CN111786381B CN 111786381 B CN111786381 B CN 111786381B CN 202010524815 A CN202010524815 A CN 202010524815A CN 111786381 B CN111786381 B CN 111786381B
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wind power
thevenin equivalent
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CN111786381A (en
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汤奕
常平
戴剑丰
李渝
孙谊媊
王衡
郭小龙
印欣
亢朋朋
宋朋飞
杨贵新
张锋
樊国伟
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Southeast University
State Grid Xinjiang Electric Power Co Ltd
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State Grid Xinjiang Electric Power Co Ltd
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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
    • 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
    • H02J3/381—Dispersed generators
    • 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]
    • 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
    • H02J2300/00—Systems for supplying or distributing electric power characterised by decentralized, dispersed, or local generation
    • H02J2300/20—The dispersed energy generation being of renewable origin
    • H02J2300/28—The renewable source being wind energy
    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E10/00—Energy generation through renewable energy sources
    • Y02E10/70—Wind energy
    • Y02E10/76—Power conversion electric or electronic aspects

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Abstract

The invention discloses a method for analyzing and calculating Thevenin equivalent parameters of a wind power-containing power system, aiming at the problem of the mechanism of action of high-proportion wind power access on Thevenin equivalent parameters. According to the method, wind power equivalence is firstly taken as an injection current source according to the power electronic characteristics of wind power, an analytic mathematical model for calculating Thevenin equivalent parameters of a power system containing the wind power is established, and the action mechanism of the characteristic access of the wind power current source to the Thevenin equivalent parameters is theoretically researched; and then analyzing two analysis and calculation methods of thevenin equivalent parameters of the power system containing the wind power through a processing mode of the coupling item, thereby formulating an analysis and calculation process of the thevenin equivalent parameters of the power system containing the wind power. By adopting the method, the dynamic change rule of the Thevenin equivalent parameters after the wind power high-proportion access can be analyzed, and a foundation is laid for the research of the voltage stability analysis method suitable for the power electronic power supply such as the wind power.

Description

Thevenin equivalent parameter analysis and calculation method for wind power-containing power system
Technical Field
The invention belongs to the technical field of power systems, and relates to a Thevenin equivalent parameter calculation method, in particular to a Thevenin equivalent parameter analysis calculation method of a wind power-containing power system.
Background
With the high-proportion access of power electronic power supplies such as wind power and photovoltaic power, the operation characteristics of a power system become more complex, and higher requirements are put forward on the safe and stable operation of the system. The voltage stability analysis method based on the Thevenin equivalence theory is essentially to perform linear equivalence on a nonlinear power system, and then judge the critical impedance of an equivalent load node and the module value relation of load impedance according to the maximum power transmission principle. At present, research focuses on designing a more accurate Thevenin equivalent parameter identification method. However, the dynamic characteristics of new energy power generation are completely different from those of the traditional synchronous generator, and in a high-proportion new energy power system, if a power electronic power supply such as wind power is directly contained in an equivalent network in a black box form, the difficulty of identifying the Thevenin equivalent parameters of a time-varying nonlinear power system is increased, and the influence rule and action mechanism of the access of the power electronic power supply such as wind power on the Thevenin equivalent parameters cannot be theoretically analyzed and researched.
Disclosure of Invention
In order to analyze the dynamic influence rule of high-proportion wind power on Thevenin equivalent parameters after the access, the active reactive power control capability of the wind power and the problem that grid-connected points are difficult to fluctuate severely after the grid connection are considered, the grid-connected wind power can be equivalent to an injection current source, the analysis calculation method of the Thevenin equivalent parameters of the wind power-containing power system is provided, firstly, the wind power is equivalent to an injection current source according to the power electronic characteristics of the wind power, an analysis mathematical model for calculating the Thevenin equivalent parameters of the wind power-containing power system is established, and the action mechanism of the characteristic access of the wind power source on the Thevenin equivalent parameters is theoretically researched; and then analyzing two analysis and calculation methods of thevenin equivalent parameters of the power system containing the wind power through a processing mode of the coupling item, thereby formulating an analysis and calculation process of the thevenin equivalent parameters of the power system containing the wind power.
In order to achieve the purpose, the invention provides the following technical scheme:
the analytical calculation method of Thevenin equivalent parameters of the wind power-containing power system comprises the following steps:
step (1): for the power system containing wind power, a node admittance matrix Y of the power system containing the wind power is obtained by using an SCADA system;
step (2): the nodes of the power system containing wind power are divided into the following four types: the load node, the wind power node, the generator node and the connecting node are used for partitioning the node admittance matrix Y according to the node types;
and (3): establishing an analytic mathematical model of Thevenin equivalent parameters of a wind power system, and calculating to obtain important parameters of the analytic mathematical model: zLL、Eopen、ILWWherein Z isLLRepresenting a node impedance matrix oriented to the load node, EopenRepresenting the open-circuit voltage matrix for the load node, ILWA load node injection current matrix taking the wind power node injection current effect into account is represented;
and (4): obtaining Thevenin equivalent parameter Z of the wind power system according to the analytic calculation method 1 and the analytic calculation method 2 respectivelyeq,k,1，Eeq,k,1And Zeq,k,2，Eeq,k,2The analytical calculation method 1 will couple the terms
Figure GDA0003609785580000021
All the equivalence is electric potential, the analytic calculation method 2 is to couple terms
Figure GDA0003609785580000022
All equal values are impedances.
Further, the node admittance matrix Y blocking method of step (2) is: based on the node voltage equation I ═ YU, the node voltage equation is developed according to four node types:
Figure GDA0003609785580000023
in the formula (1), I, U are current and voltage matrixes of all nodes respectively, wherein subscripts L, W, G, T represent load nodes, wind power nodes, generator nodes and connecting nodes respectively, then IL、ULCurrent, voltage matrices, I, of load nodes, respectivelyW、UWCurrent, voltage matrices, I, of wind power nodes, respectivelyG、UGThe current matrix and the voltage matrix of the generator node are respectively, the current matrix of the connection node is a zero matrix, and the voltage matrix is UT；
Therefore, the block admittance matrix Y can be obtained after the node admittance matrix Y is blocked according to the node typeLL，YLW，YLG，YLT，YWL，YWW，YWG，YWT，YGL，YGW，YGG，YGT，YTL，YTW，YTGAnd YTT。
Further, the analytic mathematical model of thevenin equivalent parameters of the wind power system-containing power system in the step (3) is as follows:
UL＝Eopen-ZLLILW (2)
in which the important parameters Z of the mathematical model are resolvedLL、Eopen、ILWThe calculation method of (2) is as follows:
Figure GDA0003609785580000024
Figure GDA0003609785580000025
Figure GDA0003609785580000026
wherein the admittance matrix Ya，Yb，Yc，Yd，YfAnd YeIs calculated according to the block admittance matrix, as follows:
Figure GDA0003609785580000027
further, taking a load node k as an example, where k is 1,2, … n, n is the number of load nodes, and the analytic mathematical model of thevenin equivalent parameters of the load node k according to equation (2) is as follows:
Figure GDA0003609785580000031
first term E of formula (7)open,kThe influence of the voltage of each generator node on thevenin equivalent potential is reflected for the open-circuit voltage phasor of the load node k; second item ZLLkkILWkFor measuring current I of load node k after action of wind power injection currentLWkAt self-impedance ZLLkkThe resulting voltage drop; item III
Figure GDA0003609785580000032
For the coupling term, the current I after the action of other load nodes l in the system and the wind power injection current is calculatedLWlAt mutual impedance ZLLklThe cumulative voltage drop caused.
Further, in the step (4), Thevenin equivalent parameter Z of the wind power system is containedeq,k,1，Eeq,k,1The analytical calculation method (2) is as follows:
Zeq,k,1＝ZLLkk (8)
Figure GDA0003609785580000033
further, the method can be used for preparing a novel materialIn the step (4), Thevenin equivalent parameter Z of the wind power system is containedeq,k,2，Eeq,k,2The analytical calculation method (2) is as follows:
Figure GDA0003609785580000034
Eeq,k,2＝Eopen,k (11)。
compared with the prior art, the invention has the following advantages and beneficial effects:
the method can be used for analyzing the dynamic change rule of Thevenin equivalent parameters after the high-proportion access of the wind power, and lays a foundation for the research of the voltage stability analysis method suitable for the power electronic power supply such as the wind power.
Drawings
Fig. 1 is a flow chart of the implementation of the method of the present invention.
FIG. 2 is a diagram of a simulation system for verifying the method of the present invention.
FIG. 3 is Z at different wind power permeabilitieseq,k,1And Zeq,k,2The change rule of (2).
FIG. 4 shows E at different wind permeabilityeq,k,1And Eeq,k,2The change rule of (2).
Detailed Description
The technical solutions provided by the present invention will be described in detail below with reference to specific examples, and it should be understood that the following specific embodiments are only illustrative of the present invention and are not intended to limit the scope of the present invention.
FIG. 2 is a modified IEEE 9 node simulation system for verifying the method of the present invention. The nodes 5, 6 and 8 are load nodes, the nodes 1,2 and 3 are generator nodes, the nodes 4, 7 and 9 are passive nodes, and the node 10 is newly added at the node 9 to be connected with wind power.
After the wind power is connected to the grid at the node 10 by the current source characteristic, the grid connection capacity of the wind power equivalently replaces the conventional power supply capacity of the nodes 2 and 3, and the conventional power supply reduced capacity of the nodes 2 and 3 is reduced according to the initial capacity ratio, so that the grid connection wind power permeability can be continuously increased. The load node 6 is a thevenin equivalent node.
The invention provides a Thevenin equivalent parameter analysis and calculation method of a wind power-containing power system, the flow is shown as a figure 1, and the method comprises the following four steps:
step (1): for the power system containing wind power, obtaining a node admittance matrix Y of the power system containing wind power by using an SCADA (Supervisory control and data acquisition, SCADA) system;
step (2): for a power system containing wind power, the node types can be divided into four types: the load node, the wind power node, the generator node and the connecting node are used for partitioning the node admittance matrix Y according to the node types;
the node admittance matrix Y blocking method comprises the following steps: based on the node voltage equation I ═ YU, the node voltage equation is developed according to four node types:
Figure GDA0003609785580000041
in the formula (1), I, U are current and voltage matrixes of all nodes respectively, wherein subscripts L, W, G, T represent load nodes, wind power nodes, generator nodes and connecting nodes respectively, then IL、ULCurrent, voltage matrices, I, of load nodes, respectivelyW、UWCurrent, voltage matrices, I, of wind power nodes, respectivelyG、UGThe current matrix and the voltage matrix of the generator node are respectively, the current matrix of the connection node is a zero matrix, and the voltage matrix is UT。
Therefore, the block admittance matrix Y can be obtained after the node admittance matrix Y is blocked according to the node typeLL，YLW，YLG，YLT，YWL，YWW，YWG，YWT，YGL，YGW，YGG，YGT，YTL，YTW，YTGAnd YTT。
And (3): establishing an analytic mathematical model of Thevenin equivalent parameters of a wind power system, and calculating to obtain important parameters of the analytic mathematical model: zLL、Eopen、ILW；
The analytic mathematical model of the Thevenin equivalent parameter of the wind power system in the step comprises the following steps:
UL＝Eopen-ZLLILW (2)
in which the important parameters Z of the mathematical model are resolvedLL、Eopen、ILWThe calculation method of (2) is as follows:
Figure GDA0003609785580000042
Figure GDA0003609785580000043
Figure GDA0003609785580000044
wherein the admittance matrix Ya，Yb，Yc，Yd，YfAnd YeIs calculated according to the block admittance matrix, as follows:
Figure GDA0003609785580000051
important parameter ZLLRepresenting a node impedance matrix oriented to the load node, EopenRepresenting the open-circuit voltage matrix for the load node, ILWAnd representing a load node injection current matrix taking the effect of the wind power node injection current into account.
Taking load node k (where k is 1,2, … n, and n is the number of load nodes) as an example, the analytical mathematical model of thevenin equivalent parameters of load node k obtained from equation (2) is:
Figure GDA0003609785580000052
first term E of formula (7)open,kThe influence of the voltage of each generator node on thevenin equivalent potential is reflected for the open-circuit voltage phasor of the load node k; second item ZLLkkILWkFor measuring current I of load node k after action of wind power injection currentLWkAt self-impedance ZLLkkThe resulting voltage drop; item III
Figure GDA0003609785580000053
For the coupling term, the current I after the action of other load nodes l in the system and the wind power injection current is calculatedLWlAt mutual impedance ZLLklThe cumulative voltage drop caused.
And (4): obtaining Thevenin equivalent parameter Z of the wind power system according to the analytic calculation method 1 and the analytic calculation method 2 respectivelyeq,k,1，Eeq,k,1And Zeq,k,2，Eeq,k,2。
In the analytical calculation method 1, coupling terms are used
Figure GDA0003609785580000054
If all the equivalence is potential, the Thevenin equivalent parameter Z of the wind power system is containedeq,k,1，Eeq,k,1The analytical calculation method (2) is as follows:
Zeq,k,1＝ZLLkk (8)
Figure GDA0003609785580000055
analytical calculation method 2 is to combine the coupled terms
Figure GDA0003609785580000056
If all the equivalent is impedance, the Thevenin equivalent parameter Z of the wind power system is containedeq,k,2，Eeq,k,2The analytical calculation method (2) is as follows:
Figure GDA0003609785580000057
Eeq,k,2＝Eopen,k (11)
by utilizing the flow chart shown in FIG. 1, thevenin equivalent parameter Z under different wind power permeabilities can be calculatedeq,k,1、Eeq,k,1、Zeq,k,2And Eeq,k,2The module values of (1), FIG. 3 and FIG. 4 are respectively the Thevenin equivalent impedance Zeq,k,1And Zeq,k,2And Thevenin equivalent potential Eeq,k,1And Eeq,k,2The change rule is changed along with the change of the wind power permeability.
The technical means disclosed in the invention scheme are not limited to the technical means disclosed in the above embodiments, but also include the technical scheme formed by any combination of the above technical features. It should be noted that those skilled in the art can make various improvements and modifications without departing from the principle of the present invention, and such improvements and modifications are also considered to be within the scope of the present invention.

Claims (1)

1. The analytical calculation method of Thevenin equivalent parameters of the wind power-containing power system is characterized by comprising the following steps of:
step (1): for the power system containing wind power, a node admittance matrix Y of the power system containing the wind power is obtained by using an SCADA system;
step (2): the nodes of the power system containing wind power are divided into the following four types: the load node, the wind power node, the generator node and the connecting node are used for partitioning the node admittance matrix Y according to the node types;
the node admittance matrix Y blocking method in the step (2) comprises the following steps: based on the node voltage equation I ═ YU, the node voltage equation is developed according to four node types:
Figure FDA0003636952310000011
in the formula (1), I, U are current and voltage matrixes of all nodes respectively, wherein subscripts L, W, G, T represent load nodes, wind power nodes, generator nodes and connecting nodes respectively, then IL、ULCurrent, voltage matrices, I, of load nodes, respectivelyW、UWCurrent, voltage matrices, I, of wind power nodes, respectivelyG、UGThe current matrix and the voltage matrix of the generator node are respectively, the current matrix of the connection node is a zero matrix, and the voltage matrix is UT；
Therefore, the block admittance matrix Y can be obtained after the node admittance matrix Y is blocked according to the node typeLL，YLW，YLG，YLT，YWL，YWW，YWG，YWT，YGL，YGW，YGG，YGT，YTL，YTW，YTGAnd YTT
And (3): establishing an analytic mathematical model of Thevenin equivalent parameters of a wind power system, and calculating to obtain important parameters of the analytic mathematical model: zLL、Eopen、ILWWherein Z isLLRepresenting a node impedance matrix oriented to the load node, EopenRepresenting the open-circuit voltage matrix for the load node, ILWA load node injection current matrix taking the wind power node injection current effect into account is represented;
the analytic mathematical model of the Thevenin equivalent parameters of the wind power-containing power system in the step (3) is as follows:
UL＝Eopen-ZLLILW (2)
in which the important parameters Z of the mathematical model are resolvedLL、Eopen、ILWThe calculation method of (2) is as follows:
Figure FDA0003636952310000012
Figure FDA0003636952310000013
Figure FDA0003636952310000014
wherein the admittance matrix Ya，Yb，Yc，Yd，YfAnd YeIs calculated according to the block admittance matrix, as follows:
Figure FDA0003636952310000015
taking a load node k as an example, where k is 1,2, … n, n is the number of the load nodes, and the analytic mathematical model of thevenin equivalent parameters of the load node k according to the formula (2) is as follows:
Figure FDA0003636952310000021
first term E of formula (7)open,kThe influence of the voltage of each generator node on thevenin equivalent potential is reflected for the open-circuit voltage phasor of the load node k; second item ZLLkkILWkFor measuring current I of load node k after action of wind power injection currentLWkAt self-impedance ZLLkkThe resulting voltage drop; item III
Figure FDA0003636952310000022
For the coupling term, the current I after the action of other load nodes l in the system and the wind power injection current is calculatedLWlAt mutual impedance ZLLklThe cumulative voltage drop caused above;
and (4): obtaining Thevenin equivalent parameter Z of the wind power system according to the analytic calculation method 1 and the analytic calculation method 2 respectivelyeq,k,1，Eeq,k,1And Zeq,k,2，Eeq,k,2The analytical calculation method 1 will couple the terms
Figure FDA0003636952310000023
All equivalence is electric potential, the analytic calculation method 2 is to couple terms
Figure FDA0003636952310000024
All the equivalent values are impedance;
in the step (4), Thevenin equivalent parameter Z of the wind power system is containedeq,k,1，Eeq,k,1The analytical calculation method (2) is as follows:
Zeq,k,1＝ZLLkk (8)
Figure FDA0003636952310000025
thevenin equivalent parameter Z containing wind power systemeq,k,2，Eeq,k,2The analytical calculation method (2) is as follows:
Figure FDA0003636952310000026
Eeq,k,2＝Eopen,k (11)。
CN202010524815.5A 2020-06-10 2020-06-10 Thevenin equivalent parameter analysis and calculation method for wind power-containing power system Expired - Fee Related CN111786381B (en)

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Citations (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN103258103A (en) * 2013-05-29 2013-08-21 国家电网公司 Thevenin equivalent parameter identification method based on partial least squares regression
CN106295160A (en) * 2016-08-04 2017-01-04 山东大学 AC-DC interconnecting power network Thevenin's equivalence parameter on-line calculation method

Patent Citations (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN103258103A (en) * 2013-05-29 2013-08-21 国家电网公司 Thevenin equivalent parameter identification method based on partial least squares regression
CN106295160A (en) * 2016-08-04 2017-01-04 山东大学 AC-DC interconnecting power network Thevenin's equivalence parameter on-line calculation method

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