Method of quickly solving node impedance matrix of electric power system based on Gaussian elimination method

Abstract

The invention discloses a method of quickly solving a node impedance matrix of an electric power system based on Gaussian elimination method, relating to the field of analytical calculation of the electric power system. The method comprises the following main steps of inputting data of a Y array of a node admittance matrix; forming an augmented matrix Bn=[YEn] by utilizing the last column of En arrays of the Y array and the E array; carrying out the (n-1)th normalized Gaussian elimination on the Bn array to obtain Bn(n-1)'=[Y(n-1) 'En']; solving the Zn array in the Z array of the node admittance matrix according to Y(n-1)'Zn=En'; obtaining all elements at the left side of Znn according to symmetry; solving diagonal elements of the Zk array of (n-1)th column to first column of the Z array and the elements according to Y(k-1)]'Zk=Ek' in a back substitution manner; obtaining all elements at the left side of Zkk according to symmetry. The method has the advantages of simple principle and clear principle, the Z array is solved by the Y array of IEEE-57, IEEE-188 and IEEE-300 node systems, and in comparison with that of an LDU (Logical Data Unit) triangular decomposition method and a method without the normalized Gaussian elimination, the computation speed is greatly improved.

Description

technical field [0001] The invention relates to the field of power system analysis and calculation, and mainly relates to a calculation method for quickly obtaining the node impedance matrix of the power system. Background technique [0002] Since the node impedance matrix Z is a full matrix, it contains more information than the node admittance matrix Y, so the Z matrix, like the Y matrix, is of great significance and widely used in power system analysis and calculation, but it is far from solving the Z matrix. It is more complicated than solving the Y matrix. Commonly used methods for solving the Z matrix include branch addition method and Y matrix inversion method. The LDU triangular decomposition method is most commonly used in the Y matrix inversion method, and the Gaussian elimination method without normalization is rarely used due to its slow calculation speed. [0003] The LDU triangular decomposition method derived from the Gaussian elimination method is suitable ...

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Problems solved by technology

[0004] The calculation principle of the Gaussian elimination method without normalization is simple, intuitive, and easy to program, but the calculation speed is not ideal, so it is rarely used

This method generally uses directly inverting the matrix Z of the matrix Y, and the calculation process is cumbersome, the calculation amount is large, and the calculation time is long.

or due to the Z array or Z k The solution of the matrix does not contain normalized calculations, which leads to its calculation speed is far less than ideal with the LDU triangular decomposition method

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