Method for gaining node impedance matrix of power system based on LR triangular decomposition of symmetric sparse matrix technology
Method for gaining node impedance matrix of power system based on LR triangular decomposition of symmetric sparse matrix technology
 CN 104,408,026 A
 Filed: 11/27/2014
 Published: 03/11/2015
 Est. Priority Date: 11/27/2014
 Status: Active Application
First Claim
1. ask for a method for electric system nodal impedance matrix based on the LR triangle decomposition of symmetrical and sparse technology, its feature comprises the following steps:
 Step 1;
read in each circuit branch data of n node system;
Step 2;
form bus admittance matrix Y;
Step 3;
carry out A=LR triangle decomposition according to Y array element element and the openness and symmetrical structure in triangle decomposition process thereof;
Step 4;
according to LRZ _{k}=E _{k}z is asked in back substitution _{k}battle array diagonal element Z _{kk}and above offdiagonal element;
Step 5;
ask for diagonal element Z according to symmetry _{kk}with the offdiagonal element on a left side;
Step 6;
by Z battle array write data file.
Chinese PRB Reexamination
Abstract
The invention provides a method for gaining a node impedance matrix of a power system based on the LR triangular decomposition of a symmetric sparse matrix technology and belongs to the field of power system analytical calculation. The method mainly comprises the steps of reading the data of each line branch of an nnode system, forming a node admittance matrix Y, performing LR triangular decomposition on the array Y according to the sparsity and the symmetry of the elements of the array Y, gaining array Z elements according to symmetric back substitution, and writing array Z data to a data file. According to the method for gaining the node impedance matrix of the power system based on the LR triangular decomposition of the symmetric sparse matrix technology, the concept of the LR composite matrix is raised according to the characteristics of the element structure of the LR triangular decomposition method and convenient for understanding the computational process, and memory units can be saved; due to the adoption of the symmetric sparse matrix technology, the calculation of a large number of elements is omitted, and the calculation of all lij elements is also simplified, and therefore, the speed of gaining the array Z elements is greatly increased. The method is simple in principle and quick in calculation. Compared with the LR triangular decomposition method not considering the sparsity and the symmetry, if the method for gaining the node impedance matrix of the power system based on the LR triangular decomposition of the symmetric sparse matrix technology is applied to checking calculation on IEEE30/57/118 node systems, the calculation speed can be increased by about 45%.

1 Citation
Sparse technology based on improved adjacency matrix  
Patent #
CN 105,354,172 A
Filed 12/07/2015

Current Assignee

No References
1 Claim

1. ask for a method for electric system nodal impedance matrix based on the LR triangle decomposition of symmetrical and sparse technology, its feature comprises the following steps:

Step 1;
read in each circuit branch data of n node system;Step 2;
form bus admittance matrix Y;Step 3;
carry out A=LR triangle decomposition according to Y array element element and the openness and symmetrical structure in triangle decomposition process thereof;Step 4;
according to LRZ _{k}=E _{k}z is asked in back substitution _{k}battle array diagonal element Z _{kk}and above offdiagonal element;
Step 5;
ask for diagonal element Z according to symmetry _{kk}with the offdiagonal element on a left side;
Step 6;
by Z battle array write data file.

Specification(s)