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Method for randomly storing non-zero elements and randomly symmetrical elimination to obtain node impedance of power system

A non-zero element, node impedance technology, applied in complex mathematical operations and other directions, can solve the problem of simplifying the calculation process and other problems

Active Publication Date: 2019-01-29
NANCHANG UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

Moreover, no matter in the process of LDU triangular decomposition method, the previous generation process of Gaussian elimination, or the back-substitution process of various methods, the calculation must be completed in order, so that the simplification of the calculation process is subject to certain restrictions.

Method used

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  • Method for randomly storing non-zero elements and randomly symmetrical elimination to obtain node impedance of power system
  • Method for randomly storing non-zero elements and randomly symmetrical elimination to obtain node impedance of power system
  • Method for randomly storing non-zero elements and randomly symmetrical elimination to obtain node impedance of power system

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Experimental program
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Embodiment 1

[0088] Taking the 5th order matrix as an example, for Y(n,2n) and Y(n,d 1 ) The array Gaussian elimination steps are compared. Table 3 shows the 5th order matrix Y(n, 2n) and Y(n, d 1 ) The initial state of the array.

[0089] (1) Y(n, 2n) and Y(n, d 1 ) The initial state of the upper triangle of the array

[0090] Y(n,2n) array is arranged sequentially, while Y(n,d 1 ) The array is arranged randomly (the same below); Y(n,d 1 ) The number of non-zero non-diagonal elements in the first row of the array is S′ 1 =3, the column number of the related node is l in the order of generation 1 =[4,5,2]; second line S′ 2 = 2, l 2 =[5,3]; the third line S′ 3 = 1, l 3 =[4]; the fourth line S′ 4 = 1, l 4 =[5]; the fifth line S′ 5 =0. For simplicity, let y ij =g ij +jb ij ; Y(n,d 1 ) The second column of each group in the array is the element y′ before normalization ij , The third column is the normalized element y″ ij . Y(n,2n) and Y(n,d 1 ) The state of the array elements is shown in Table...

Embodiment 2

[0119] Example 2. For IEEE-30, -57, -118, and -300 systems, the traditional Gaussian elimination method and the method of this application are used to obtain the Z matrix, and the comparison results of the calculation time are shown in Table 8.

[0120] Table 8 Comparison of the calculation time of the traditional method and the method of this application for solving the Z matrix

[0121]

[0122] t 1r : Reading time of Y(n,2n) structure data file;

[0123] t 2r : Reading time of Y(n,d) structure data file;

[0124] t 2r / t 1r :The percentage of time reading Y(n,d) and reading Y(n,2n);

[0125] t 1f : The calculation time of the previous generation process of the traditional Gaussian elimination method;

[0126] t 2f : The calculation time of the previous generation process of this application method;

[0127] t 2f / t 1f : The percentage of calculation time between this application method and the previous generation process of the traditional Gaussian elimination method;

[0128] t 1fb :...

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Abstract

The invention relates to a method for randomly storing non-zero elements and randomly symmetrical elimination to obtain node impedance of power system, which opens Y matrix data file Y (n, d) and reads data into Y (n, d1) array; the augmented matrix Bn= [Y (n, d1) En] is composed of Y (n, d1) array and En matrix. For Bn array, n-1 times of Gaussian elimination with normalized symmetry sparse technique is performed. The element order of Zk array in the Z array is specified as the n-1 column and the element order of Zk matrix is specified as zkk-z1k, then the elements of diagonal element zkkand above in Zk matrix are solved step by step according to Y (n, d 1) (k-1) 'Zk=Ek (k-1)', and the elements with left zkk are obtained according to symmetry. The Z matrix is obtained and the resultis output. The method provided by the invention is used for solving the Z array for a Y array of IEEE-30,-57,-118,-300 systems. Compared with the traditional Gaussian elimination method, the invnetionnot only greatly reduces the amount of storage units, but also greatly improves the speed of reading data files and eliminating elements.

Description

Technical field [0001] The invention belongs to the field of power system analysis and calculation, and relates to a method for obtaining the impedance of a power system node. Background technique [0002] During the formation, storage, reading and writing, and elimination of the node admittance matrix Y of a large power system, if the sparsity and symmetry of the elements of the Y matrix are not considered, a large number of zero elements and symmetric elements will be stored and unnecessary Element calculation, so that the time required to form the Y array is longer, the storage space is huge, the time to read and write the data file of the Y array is longer, and the calculation time for the previous and back generations of the Y array is longer. For example, the Y(n, 2n) array form of Y array is simple and intuitive, which is convenient for data processing, but the existence of a large number of zero elements makes the process of Y formation, storage, and data file reading and...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/16
CPCG06F17/16
Inventor 陈恳郭甲宝彭丽君文祥
Owner NANCHANG UNIV