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Partitioning solving method for linear simultaneous equations of dynamic simulation of power system

A technology of dynamic simulation and linear equations, applied in complex mathematical operations and other directions, can solve problems such as high single solution speed requirements and many solution times, shorten the dynamic simulation time of the whole process, overcome low solution efficiency, and improve computing efficiency. Effect

Active Publication Date: 2013-09-18
STATE GRID CORP OF CHINA +3
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Problems solved by technology

The scale of the equations is usually more than tens of thousands of orders. For example, for the simulation calculation of the North China-Central China power system in my country, the number of calculation buses is usually more than 15,000, the number of generators is about 1,300, and the order of the equations is about 130,000. ; 2) The number of solutions is large, and the requirement for a single solution speed is high

Method used

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  • Partitioning solving method for linear simultaneous equations of dynamic simulation of power system
  • Partitioning solving method for linear simultaneous equations of dynamic simulation of power system
  • Partitioning solving method for linear simultaneous equations of dynamic simulation of power system

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Embodiment

[0080] Such as figure 1 As shown, a kind of linear equation group block solving main steps for power system dynamic simulation of the present invention is as follows:

[0081] Step 101: start symbol decomposition.

[0082] Step 102: Initialize symbol decomposition.

[0083] Read the matrix of the equation to be solved into the calculation array according to the sparse storage method, and check the correctness of the matrix structure.

[0084] Step 103: Divide the solution matrix into four blocks A, B, C and D.

[0085] According to the number M of dynamic equations and the number N of power network equations, memory blocks A, B, C and D are allocated. Blocks A and D are M order and N square matrices respectively; B and C blocks are M×N and N×M order matrices respectively. Blocks C and D correspond to network equations, and their values ​​are always constant. Blocks A and B correspond to dynamic element equations. as attached figure 2 shown.

[0086] Step 104: Extract ...

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Abstract

The invention relates to a partitioning solving method for the linear simultaneous equations of the dynamic simulation of a power system. The partitioning solving method comprises the following steps: (1) partitioning a simulation sparse matrix; (2) decomposing the notation of a diagonal matrix; (3) decomposing the numerical value LU (Lower Upper) of the diagonal matrix; and (4) according to the partitioned matrices, performing forward and backward substitution to solve the linear simultaneous equations. The partitioning solving method provided by the invention effectively utilizes the characteristic of the sparse matrix of large-scale linear simultaneous equations in the simulation, greatly shortens the time of the whole dynamic simulation of the power system under the premise of guaranteeing the correct result and the simulation precision, improves the computing efficiency of solving the linear simultaneous equations, and overcomes the defect that a frequently-used non-partitioning solving method is low in efficiency and can not make full use of the structural characteristic of a to-be-solved matrix.

Description

technical field [0001] The invention belongs to the simulation field of electric power systems, and in particular relates to a linear equation group solving method for dynamic simulation of electric power systems. Background technique [0002] The dynamic simulation of the whole process of the power system refers to the organic unity of the electromechanical transient state, medium-term and long-term process of the power system for digital simulation. It is one of the main tools for power system planning and design, scheduling operation and scientific research. The dynamic simulation of the whole process of the power system can describe the entire continuous dynamic process after the power system is disturbed, and the simulation time can range from a few seconds to tens of minutes or even several hours. The dynamic process from the electromechanical transient process to the medium and long-term process of the power system is continuous and not completely separated: the trans...

Claims

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Application Information

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IPC IPC(8): G06F17/16G06F17/11
Inventor 宋新立陈英时吴国旸汤涌王晓彤仲悟之叶小晖刘涛
Owner STATE GRID CORP OF CHINA
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