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Method for quickly solving nodal impedance matrix of power system

A node impedance matrix and power system technology, applied in the direction of complex mathematical operations, can solve problems such as complex principles and long calculation time, and achieve the effects of simple principles, increased calculation speed, and convenient programming

Inactive Publication Date: 2014-12-24
NANCHANG UNIV
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Problems solved by technology

However, the traditional LDU triangular decomposition method and Gaussian elimination method have problems such as complex principles and long calculation time.

Method used

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  • Method for quickly solving nodal impedance matrix of power system
  • Method for quickly solving nodal impedance matrix of power system
  • Method for quickly solving nodal impedance matrix of power system

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Embodiment 1

[0037] For systems such as IEEE-57, 118, and -300 nodes, the programming calculation is performed without considering the element sparsity, and the traditional Gaussian elimination method, LDU triangular decomposition method and the present invention are compared to obtain the inverse matrix of the node admittance matrix Y The calculation time of Z. The calculation results are shown in Table 1.

[0038] Table 1 Comparing the calculation time of various calculation methods to obtain the inverse matrix Z of Y matrix

[0039]

[0040] As can be seen from Table 1, taking the IEEE-300 node system as an example, although the calculation speed of the LDU triangular decomposition method containing normalization is about 25% faster than the Gaussian elimination method without normalization, the present invention is respectively faster than the traditional The calculation speed of LDU triangular decomposition method and Gaussian elimination method is about 30-50% faster respectively...

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Abstract

The invention provides a method for quickly solving a nodal impedance matrix of a power system, and relates to the field of analytical computation of the power system. The method mainly comprises the following steps of inputting data of a nodal admittance matrix Y; establishing an augmented matrix B by the nodal admittance matrix Y and an identity matrix E together; normalizing the augmented matrix B and carrying out a Gauss-Jordan elimination method on the augmented matrix B for n times; obtaining an inverse matrix Z. At present, traditional methods for solving the nodal impedance matrix comprise an LDU (Logic Data Unit) triangular decomposition method and a Gauss elimination method, and compared with the two traditional methods, the novel method for quickly solving the nodal impedance matrix by utilizing the Gauss-Jordan elimination method, provided by the invention, has the advantages that the principle is simple and easy to understand, the computation time is reduced, the programming is convenient, and the like; compared with the traditional LDU triangular decomposition method and the Gauss elimination method, by utilizing the method for verifying systems such as an IEEE-57 node, an IEEE-118 node and an IEEE-300 node, the computation speeds can be respectively increased by about 25%-50%.

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 a node impedance matrix. Background technique [0002] In power system analysis and calculation, the node impedance matrix is ​​often used. In traditional methods, the LDU triangular decomposition method and the Gaussian elimination method are commonly used to solve the node impedance matrix. [0003] Various triangular decomposition methods are similar to the factor table method, and are more suitable for the repeated solution of coefficient matrix invariant equations. Many literatures introduce the use of the LDU triangular decomposition method to solve the inverse matrix Z of the Y matrix, mainly in order to convert the solution of the Z matrix into a pair of Z k Matrix solution. Since the calculation formulas of the triangular decomposition method are closely related to the calculation formula of Gaussian e...

Claims

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Application Information

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IPC IPC(8): G06F17/16
Inventor 陈恳刘单席小青罗仁露
Owner NANCHANG UNIV
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