Time-delay power system characteristic value calculation method based on partial variable discretization

Abstract

The invention discloses a time delay power system characteristic value calculation method based on partial variable discretization. The method comprises the following steps of firstly establishing a linear model of time-delay power system based on differential-algebraic equations DDAE; discretizing some variables with time-delay by N-order Lagrangian interpolation polynomial, and establishing a single-variable single-delay and multi-variable augmented discretization matrix of two kinds of time-delay cases with multiple delays; obtaining a discretization matrix by eliminating the algebraic variables of the augmented discretization matrix, so as to transform the eigenvalue problem of the time-delay power system into the eigenvalue problem of the discretized matrix; The method greatly reducesthe order of the discretization matrix, and has the characteristics of fast calculation speed and high calculation precision, and is suitable for eigenvalue calculation of large-scale time-delay power systems.

Description

technical field [0001] The invention relates to the field of eigenvalue calculation of time-delay power systems, in particular to a method for discretizing only time-delay variables to obtain a discretized matrix, thereby enabling fast and accurate calculation of eigenvalues ​​of time-delay power systems. Background technique [0002] The development trend of modern power systems is large or even super-large interconnected power grids. Power grid interconnection has many advantages: optimizing overall resource allocation, generating economies of scale, reducing power generation costs, balancing system loads, reducing system reserve capacity, and improving the security and reliability of power supply performance, improve power supply quality, etc. Although large-scale interconnected power systems can effectively achieve indicators such as reliability and economy, their operating conditions are very harsh, and their dynamic characteristics are very complex. The system is exper...

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Problems solved by technology

However, when there are multiple time-delays, the interpolation points cannot be completely matched with each time-delay value, resulting in a decrease in calculation accuracy; and when the scale of the power system is large, the order of the discretization matrix formed is very high, which will The eigenvalue calculation speed of the matrix is ​​very slow or even unsolvable

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