Method for calculating time-lag electric power system eigenvalue and discriminating stability based on Pade approximation

A power system and discrimination method technology, applied in the direction of electrical components, circuit devices, AC network circuits, etc., can solve problems such as lack of measurement methods, poor control effects, and limited power grid transmission capacity

Active Publication Date: 2012-11-28
RES INST OF ECONOMICS & TECH STATE GRID SHANDONG ELECTRIC POWER
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Problems solved by technology

[0002] With the expansion of the scale of the power system, the low-frequency oscillation between regions is becoming a bottleneck limiting the transmission capacity of the power grid, and the existing damping controllers (mainly power system stabilizers designed according to the single-machine infinite system) cannot solve this problem well. a question
The fundamental reasons are: (1) The relative power angle and relative angular velocity canno...

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  • Method for calculating time-lag electric power system eigenvalue and discriminating stability based on Pade approximation
  • Method for calculating time-lag electric power system eigenvalue and discriminating stability based on Pade approximation
  • Method for calculating time-lag electric power system eigenvalue and discriminating stability based on Pade approximation

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Embodiment Construction

[0091] The present invention will be further described below in conjunction with the accompanying drawings and embodiments.

[0092] Such as figure 1 As shown, a Pade approximation-based eigenvalue calculation and stability discrimination method for time-delayed power systems, the specific steps are as follows:

[0093] Step 1: Specify the wide-area feedback delay τ i and Pade approximation order k;

[0094] Step 2: Perform Pade approximation to obtain the approximate rational polynomial of the delay link;

[0095] Step 3: Transform rational polynomials into state space expressions;

[0096] Step 4: Perform balance processing;

[0097] Step 5: Connect the time-delay link with the time-delay-free power system and the wide-area damping controller to obtain the linearized model of the time-delay power system;

[0098] Step 6: Use the QR method or the sparse eigenvalue algorithm to solve the eigenvalues ​​of the system;

[0099] Step seven: directly judge the time-delay stabi...

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Abstract

The invention discloses a method for calculating time-lag electric power system eigenvalues and discriminating stability based on Pade approximation. The method uses Pade approximation to make wide area feedback time-lag approximate to a rational polynomial. Though connecting with an electric power system without time-lag and a wide area damping controller, a linearized model of the time-lag electric power system is established. Finally, part of characteristic roots of the time-lag system is directly obtained according to a system state matrix, and then time-lag stability of the system is determined. According to an eigenvalue calculating result of a four-machine two-region example system, the method can relatively accurately solve part of the eigenvalues and eigenvectors which are corresponding to dynamic elements in the time-lag system. The method can conveniently and accurately determine time-lag stability of the system, correctly solve the number of the eigenvalues which are corresponding to a time-lag link and calculate precision which is related to order of the rational polynomial. In addition, the method is advantaged by small calculated amount, and short calculating time.

Description

technical field [0001] The invention relates to a time-delay power system eigenvalue calculation and stability discrimination method, in particular to a time-delay power system eigenvalue calculation and stability discrimination method based on Pade approximation. Background technique [0002] With the expansion of the scale of the power system, the low-frequency oscillation between regions is becoming a bottleneck limiting the transmission capacity of the power grid, and the existing damping controllers (mainly power system stabilizers designed according to the single-machine infinite system) cannot solve this problem well. a question. The fundamental reasons are: (1) The relative power angle and relative angular velocity cannot be directly used to form a closed-loop control. Although using relative power angle and relative angular velocity to realize damping control is the most direct and effective, the necessary measurement method has been lacking for a long time, and ot...

Claims

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Application Information

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IPC IPC(8): H02J3/00
Inventor 牛新生叶华王春义贾善杰
Owner RES INST OF ECONOMICS & TECH STATE GRID SHANDONG ELECTRIC POWER
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