CN114123891A - Design method of auxiliary excitation controller of power system - Google Patents
Design method of auxiliary excitation controller of power system Download PDFInfo
- Publication number
- CN114123891A CN114123891A CN202111352968.7A CN202111352968A CN114123891A CN 114123891 A CN114123891 A CN 114123891A CN 202111352968 A CN202111352968 A CN 202111352968A CN 114123891 A CN114123891 A CN 114123891A
- Authority
- CN
- China
- Prior art keywords
- controller
- synchronous generator
- power system
- generator
- agent
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Pending
Links
- 230000005284 excitation Effects 0.000 title claims abstract description 30
- 238000000034 method Methods 0.000 title claims abstract description 14
- 238000013461 design Methods 0.000 title claims abstract description 11
- 230000001360 synchronised effect Effects 0.000 claims abstract description 33
- 239000011159 matrix material Substances 0.000 claims abstract description 23
- 238000004891 communication Methods 0.000 claims description 3
- 230000008602 contraction Effects 0.000 claims description 3
- 230000001052 transient effect Effects 0.000 claims description 3
- 238000004804 winding Methods 0.000 claims description 3
- 230000001133 acceleration Effects 0.000 claims description 2
- 230000008878 coupling Effects 0.000 claims description 2
- 238000010168 coupling process Methods 0.000 claims description 2
- 238000005859 coupling reaction Methods 0.000 claims description 2
- 238000006073 displacement reaction Methods 0.000 claims 1
- 230000000694 effects Effects 0.000 description 5
- 238000011160 research Methods 0.000 description 4
- 230000009286 beneficial effect Effects 0.000 description 1
- 230000005540 biological transmission Effects 0.000 description 1
- 230000000903 blocking effect Effects 0.000 description 1
- 230000001364 causal effect Effects 0.000 description 1
- 238000010276 construction Methods 0.000 description 1
- 238000011217 control strategy Methods 0.000 description 1
- 238000013016 damping Methods 0.000 description 1
- 238000012938 design process Methods 0.000 description 1
- 238000011161 development Methods 0.000 description 1
- 238000010586 diagram Methods 0.000 description 1
- 230000003993 interaction Effects 0.000 description 1
- 238000010248 power generation Methods 0.000 description 1
- 230000006641 stabilisation Effects 0.000 description 1
- 238000011105 stabilization Methods 0.000 description 1
- 230000003068 static effect Effects 0.000 description 1
- 239000000126 substance Substances 0.000 description 1
- 238000006467 substitution reaction Methods 0.000 description 1
Images
Classifications
-
- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02P—CONTROL OR REGULATION OF ELECTRIC MOTORS, ELECTRIC GENERATORS OR DYNAMO-ELECTRIC CONVERTERS; CONTROLLING TRANSFORMERS, REACTORS OR CHOKE COILS
- H02P9/00—Arrangements for controlling electric generators for the purpose of obtaining a desired output
- H02P9/14—Arrangements for controlling electric generators for the purpose of obtaining a desired output by variation of field
-
- 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
- H02J3/40—Synchronising a generator for connection to a network or to another generator
- H02J3/42—Synchronising a generator for connection to a network or to another generator with automatic parallel connection when synchronisation is achieved
-
- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02P—CONTROL OR REGULATION OF ELECTRIC MOTORS, ELECTRIC GENERATORS OR DYNAMO-ELECTRIC CONVERTERS; CONTROLLING TRANSFORMERS, REACTORS OR CHOKE COILS
- H02P9/00—Arrangements for controlling electric generators for the purpose of obtaining a desired output
- H02P9/14—Arrangements for controlling electric generators for the purpose of obtaining a desired output by variation of field
- H02P9/26—Arrangements for controlling electric generators for the purpose of obtaining a desired output by variation of field using discharge tubes or semiconductor devices
- H02P9/30—Arrangements for controlling electric generators for the purpose of obtaining a desired output by variation of field using discharge tubes or semiconductor devices using semiconductor devices
- H02P9/305—Arrangements for controlling electric generators for the purpose of obtaining a desired output by variation of field using discharge tubes or semiconductor devices using semiconductor devices controlling voltage
-
- 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
- H02P—CONTROL OR REGULATION OF ELECTRIC MOTORS, ELECTRIC GENERATORS OR DYNAMO-ELECTRIC CONVERTERS; CONTROLLING TRANSFORMERS, REACTORS OR CHOKE COILS
- H02P2103/00—Controlling arrangements characterised by the type of generator
- H02P2103/20—Controlling arrangements characterised by the type of generator of the synchronous type
Abstract
The invention relates to the technical field of power system automation, in particular to a design method of an auxiliary excitation controller of a power system, which comprises the following steps of modeling a power grid synchronous generator based on three-order multi-agent; setting an auxiliary excitation controller; and solving the system characteristic value based on the shrinkage admittance matrix to realize the setting of the controller parameters. The invention can effectively realize the stable operation of the power system and has important theoretical and application values.
Description
Technical Field
The invention relates to the technical field of power system automation, in particular to a design method of an auxiliary excitation controller of a power system.
Background
The power system is a complex nonlinear system, and a high-dimensional power system network is formed by interaction of various devices and a power transmission and distribution line. In order to improve the stability, reliability and economy of the operation of the power system, firstly, reasonable and effective planning and construction of a power grid are carried out, and in addition, the most important is to adopt a strong and effective control strategy. The excitation control system is an important control component in the power system and plays an important role in the normal operation of the power system. The excitation control system of the synchronous generator can maintain the stability of the terminal voltage of the synchronous generator and distribute the reactive power output of the generator set to improve the stability of the power system, improve the dynamic quality and the static quality of the power system and ensure the safe operation of the power system. Therefore, the quality of the excitation control performance directly influences the safe and stable operation of the synchronous generator set and even the whole power system. From the previous research situation on the excitation control system, although the results in the aspects of excitation control system models, control methods and parameter setting are good in recent years, the research combining a novel intelligent method and a control theory is just started, and still a huge development space is provided. Multi-agent systems are an important research area of current system science. Essentially, the main objective of multi-agent research is to achieve more complex and difficult task goals through distributed cooperative coordination control of agents with relatively simple functional structures. The auxiliary excitation controller is designed based on multi-agent consistency, can improve the transient stability of the system, obtains better power angle stability on the basis of not reducing the voltage stability, is beneficial to improving the control effect of the power system, and ensures the safe and stable operation of the power system.
Disclosure of Invention
The invention aims to solve the technical problem of providing a design method of an auxiliary excitation controller of a power system, which can effectively realize the stable operation of the power system and has important theoretical and application values.
In order to solve the technical problems, the invention adopts the following technical scheme:
a design method of an auxiliary excitation controller of a power system comprises the following steps:
step 1, modeling of power grid synchronous generator based on three-order multi-agent
The excitation winding equation and the rotor motion equation of each synchronous generator in the power system are not considered (damping power), and
wherein: delta deltaiRepresenting the rotor relative power angle of the synchronous generator; Δ ωiRepresenting the relative rotational speed of the rotor of the synchronous generator; peiRepresenting the output electromagnetic power of the synchronous generator; t isjRepresents the inertia time constant of the synchronous generator; omegaNRepresenting the rated rotation speed of the synchronous generator; e'qiRepresenting a transient potential of the synchronous generator; eqeiRepresents a forced no-load potential of the synchronous generator; eqiRepresents the no-load potential of the synchronous generator; t isd0Representing the time constant of the field winding itself.
The generator excitation auxiliary control model is combined with the general description of a three-order multi-agent system, and the obtained generator variable suitable for the multi-agent consistency algorithm is expressed as follows:
wherein xi(t)、vi(t) and ziAnd (t) represents the power angle, the rotating speed and the electromagnetic power of each generator respectively. The combination of the three-order multi-agent consistency protocol-based synchronous generator model can be obtained as follows:
when the system is consistent it means that the power angle, speed and electromagnetic power of all agents converge to the same value. Namely, the following conditions are satisfied:
step 2, setting of auxiliary excitation controller
For power system stability controller settings, a typical consistency algorithm is taken as follows:
wherein, aijThe weight representing the edge between generators i and j, which is also the (i, j) th entry of the adjacency matrix; k is a radical of1,k2,k3Indicating an adjustable parameter.
Defining the relevant parameters of each generator in the power system in the form of a matrix including
Thus, having a control input ui(t) SystemCan be written as:
wherein the content of the first and second substances,
L1in order to be a laplacian matrix,
obtaining a model of the synchronous generator based on the three-order multi-agent, applying the model to a consistency algorithm of the multi-agent, and obtaining the following controller:
simplifying an excitation cooperative stabilization auxiliary controller of the available power system:
wherein; k is a radical of1,k2,k3The remaining parameters are known variables of the synchronous generator.
The controller can be understood as the sum of multiple PID controllers with the speed difference between the machines being the error. K is given during the setting of the controller parameters, primarily by means of a corresponding algorithm1、k2、k3The three parameters are consistent for each generator, but are inconsistent for each generator's controller. Because each controller is also related to the inter-machine link weight, namely, the connection relationship and the link tightness between the machines are considered simultaneously. The controller considers the network topology, the network parameters among machines, the cooperation among machines and the causal relationship among three state variables (differential angular acceleration of speed, angular speed and integral power angle of speed).
Multi-agent system achieving consistencyAn essential condition of (1), k1,k2,k3Satisfy the requirement of
k2k3μi>k1
Wherein: mu.siAs non-zero eigenvalues of the Laplace matrix
The closeness of the connection between the synchronous generators in the communication topological graph is determined by the element a in the adjacency matrix AijTo show that: if the information transmitted between two synchronous generators has a greater influence on both, then aijThe numerical setting of (a) is relatively large; if the information transmitted between two synchronous generators has a minor effect on both, then aijThe value of (c) is set relatively small. In the power system, the determination of the adjacency matrix A is based on a communication topological graph model, and for two non-connected nodes, the corresponding elements are 0; for the connected node, the tightness of the electrical coupling between the two nodes is reflected in the power system, and the physical meaning is expressed as the admittance value of the branch.
Obtaining a contraction admittance matrix A only after reserving the generator nodes by eliminating intermediate nodes among the generator nodes, and obtaining a Laplace matrix L of the system
L＝D-A
det(μI-L)＝0
Wherein: d is a degree matrix.
Finding the characteristic mu by a formulaiBringing it into formula k2k3μi>k1Calculating a parameter k satisfying a constraint1,k2,k3And the setting of the controller parameters is realized, so that the system is stable.
Drawings
FIG. 1 is a system diagram of a three-machine nine-node system of the present invention;
FIG. 2 shows the output voltage control effect of generator G2 using the rear controller of the present invention;
fig. 3 shows the power angle control effect of the generators G1 and G2 using the rear controller of the present invention.
Detailed Description
In order to facilitate understanding of those skilled in the art, the present invention will be further described with reference to the following examples and drawings, which are not intended to limit the present invention.
As shown in fig. 1, fig. 2 and fig. 3, the invention provides a three-machine nine-node power system to illustrate the design process and control effect of the auxiliary excitation controller of the invention.
Three-machine nine-node auxiliary excitation controller design
Simplifying the admittance matrix according to the matrix blocking method, eliminating the intermediate nodes, and only leaving the generator nodes, the contraction admittance matrix can be obtained as follows:
the laplacian matrix of the system is:
solving the characteristic value of the Laplace matrix can obtain:
substituted formula k2k3μi>k1A set of k satisfying the condition can be obtained1,k2,k3The three parameters are as follows:
the power generation auxiliary excitation controller can be obtained as follows:
all the technical features in the embodiment can be freely combined according to actual needs.
The above embodiments are preferred implementations of the present invention, and other implementations are also included, and any obvious substitutions are within the scope of the present invention without departing from the spirit of the present invention.
Claims (4)
1. A design method of an auxiliary excitation controller of a power system is characterized by comprising the following three steps: 1) modeling a power grid synchronous generator based on three-order multi-agent; 2) setting an auxiliary excitation controller; 3) and solving the system characteristic value based on the shrinkage admittance matrix to realize the setting of the controller parameter.
2. The design method of the auxiliary excitation controller of the power system according to claim 1, characterized in that: the modeling of the power grid synchronous generator based on the third-order multi-agent comprises
The generator excitation auxiliary control model is combined with the general description of a three-order multi-agent system, and the main variables of the three-order multi-agent system and the main variables of the generator excitation auxiliary control correspond to the following steps:
xi(t)、vi(t) and zi(t) in the original three-stage multi-agent control, respectively representing displacement, velocity and acceleration, where xi(t)、vi(t) and zi(t) respectively represents the power angle, the rotating speed and the electromagnetic power of each generator, and the synchronous generator model based on the three-order multi-agent consistency protocol is obtained by combining the following steps:
wherein: delta deltaiRepresenting the rotor relative power angle of the synchronous generator; Δ ωiRepresenting the relative rotational speed of the rotor of the synchronous generator; peiRepresenting the output electromagnetic power of the synchronous generator;Tjrepresents the inertia time constant of the synchronous generator; omegaNRepresenting the rated rotation speed of the synchronous generator; e'qiRepresenting a transient potential of the synchronous generator; eqeiRepresents a forced no-load potential of the synchronous generator; eqiRepresents the no-load potential of the synchronous generator; t isd0Representing the time constant of the field winding itself.
3. The design method of the auxiliary excitation controller of the power system according to claim 1, characterized in that: the setting of the auxiliary excitation controller comprises
For power system stability controller settings, a typical consistency algorithm is taken as follows:
wherein, aijThe weight representing the edge between generators i and j, which is also the (i, j) th entry of the adjacency matrix; k is a radical of1,k2,k3Which is indicative of an adjustable parameter of the device,
the synchronous generator multi-agent model is applied to a consistency algorithm, and an excitation cooperative stability auxiliary controller of the power system can be obtained:
4. the design method of the auxiliary excitation controller of the power system according to claim 1, characterized in that: the method for solving the system characteristic value to realize the setting of the controller parameters based on the shrinkage admittance matrix comprises the following steps
The essential condition k for achieving consistency of multi-agent system1,k2,k3Satisfies the following conditions:
k2k3μi>k1
wherein: mu.siIs a non-zero bit of the Laplace matrixEigenvalue
In a communication topological graph of a power system, an adjacent matrix A represents the tightness of electrical coupling between two nodes, a physical meaning represents the admittance value of a branch, and as all nodes in the system are not generator nodes and a certain number of intermediate load nodes exist, the tightness of information relation between synchronous generators cannot be judged, so that a contraction admittance matrix only reserved behind the generator nodes is obtained by eliminating the intermediate nodes between the generator nodes, a Laplace matrix of the system is obtained on the basis, the characteristic value of the Laplace matrix is obtained, the characteristic value is brought into a multi-agent to achieve the sufficient condition of consistency, and a group of k meeting the condition can be obtained1,k2,k3And the parameter setting of the excitation auxiliary controller of the power system is realized by the values of the three parameters.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202111352968.7A CN114123891A (en) | 2021-11-16 | 2021-11-16 | Design method of auxiliary excitation controller of power system |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202111352968.7A CN114123891A (en) | 2021-11-16 | 2021-11-16 | Design method of auxiliary excitation controller of power system |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN114123891A true CN114123891A (en) | 2022-03-01 |
Family
ID=80395838
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN202111352968.7A Pending CN114123891A (en) | 2021-11-16 | 2021-11-16 | Design method of auxiliary excitation controller of power system |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN114123891A (en) |
Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103312249A (en) * | 2013-07-09 | 2013-09-18 | 南昌航空大学 | Self-adaptation excitation control method for synchronous generator |
| WO2016034777A2 (en) * | 2015-09-11 | 2016-03-10 | Wärtsilä Finland Oy | An electrical power system and a method for controlling generator voltage |
| CN111969597A (en) * | 2020-08-03 | 2020-11-20 | 东北电力大学 | Dynamic surface integral sliding mode controller with SVC (static Var compensator) for multi-machine infinite power system |
| CN112818588A (en) * | 2021-01-08 | 2021-05-18 | 南方电网科学研究院有限责任公司 | Optimal power flow calculation method and device for power system and storage medium |
| CN113131533A (en) * | 2021-01-25 | 2021-07-16 | 华东交通大学 | Distributed self-adaptive control method for transient stability of smart power grid |
-
2021
- 2021-11-16 CN CN202111352968.7A patent/CN114123891A/en active Pending
Patent Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103312249A (en) * | 2013-07-09 | 2013-09-18 | 南昌航空大学 | Self-adaptation excitation control method for synchronous generator |
| WO2016034777A2 (en) * | 2015-09-11 | 2016-03-10 | Wärtsilä Finland Oy | An electrical power system and a method for controlling generator voltage |
| CN111969597A (en) * | 2020-08-03 | 2020-11-20 | 东北电力大学 | Dynamic surface integral sliding mode controller with SVC (static Var compensator) for multi-machine infinite power system |
| CN112818588A (en) * | 2021-01-08 | 2021-05-18 | 南方电网科学研究院有限责任公司 | Optimal power flow calculation method and device for power system and storage medium |
| CN113131533A (en) * | 2021-01-25 | 2021-07-16 | 华东交通大学 | Distributed self-adaptive control method for transient stability of smart power grid |
Non-Patent Citations (2)
| Title |
|---|
| 叶志勇 等: "带有噪声和时滞的二阶多智能体的一致性", 南京师大学报(自然科学版), vol. 40, no. 2, 30 June 2017 (2017-06-30) * |
| 蔡雄: "基于多智能体的二级电压控制研究", 中国优秀硕士学位论文全文数据库 工程科技II辑, no. 06, 15 October 2005 (2005-10-15) * |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN109586269B (en) | Direct-current micro-grid virtual inertia control method and system considering parameter self-optimization | |
| CN108462206B (en) | Method and device for determining selectable range of virtual inertia and damping coefficient of VSG | |
| CN109449958A (en) | A kind of double-fed blower grid-connected system method for analyzing stability | |
| CN112467784B (en) | Control method for adaptive virtual synchronous machine of hybrid microgrid converter | |
| CN107679769A (en) | Power system frequency response model method for building up and frequency characteristic index calculating method containing wind-powered electricity generation | |
| CN105591403A (en) | Double-fed fan multi-loop switching control system based on logic switch control | |
| CN100418284C (en) | Method for realizing composite power system stabilizer | |
| CN105186502B (en) | The power system transient stability analysis method of blower fan containing double-fed based on security domain | |
| CN112467786B (en) | Small signal model analysis method for virtual synchronous machine of hybrid microgrid converter | |
| CN113131533A (en) | Distributed self-adaptive control method for transient stability of smart power grid | |
| CN110365051A (en) | A kind of virtual synchronous motor control method of adaptive instruction filtering inverting | |
| Elyaalaoui et al. | Optimal fractional order based on fuzzy control scheme for wind farm voltage control with reactive power compensation | |
| CN108347060A (en) | A kind of power electronics interface power Reduced Modeling Methods and system | |
| Morel et al. | A robust control approach for primary frequency regulation through variable speed wind turbines | |
| CN109638871B (en) | Main network dividing method of large-scale alternating current-direct current hybrid system considering wind power access | |
| CN103762618B (en) | A kind of have the electricity generation system and control method that cause steady ability | |
| CN111049178A (en) | Method for analyzing stability control of direct-drive permanent magnet wind turbine generator through VSC-HVDC grid connection | |
| CN108365620B (en) | Method and device for simulating energy storage system based on equivalent model | |
| CN104821604A (en) | Multi-photovoltaic generator group coordination control method based on event trigger mechanism | |
| CN106849130A (en) | A kind of setting method of parameters of power system stabilizer | |
| CN112787325A (en) | Quantitative evaluation method for transient synchronization stability of permanent magnet synchronous wind driven generator based on Lyapunov direct method | |
| CN110445174B (en) | Wind power plant system transient stability evaluation method considering random wind speed influence | |
| CN114123891A (en) | Design method of auxiliary excitation controller of power system | |
| CN108494017B (en) | Distributed coordination control method for autonomous micro-grid system based on inverter | |
| CN113783183B (en) | Transient stability evaluation method of doubly-fed wind turbine in fault ride-through period under weak current network |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| PB01 | Publication | ||
| PB01 | Publication | ||
| SE01 | Entry into force of request for substantive examination | ||
| SE01 | Entry into force of request for substantive examination |