High-dimensional quiescent voltage stability boundary calculation method based on multi-dimensional holomorphic embedding method

Abstract

The invention discloses a high-dimensional quiescent voltage stability boundary calculation method based on a multi-dimensional holomorphic embedding method, belonging to the field of power system analysis. The method comprises the following steps of: solving a power flow equation of a power system by using the multi-dimensional holomorphic embedding method containing a plurality of physical mapping factors so as to obtain an analytical expression in a multivariable power series form of node voltage; then, based on the multi-dimensional Cauchy-Hadamard theorem, deriving an analytical expression of a high-dimensional static voltage stability boundary and calculating the high-dimensional static voltage stability boundary. According to the method, the high-dimensional static voltage stabilityboundary is rapidly and accurately calculated in an analysis form by applying the multi-dimensional holomorphic embedding method containing the plurality of physical mapping factors and cooperativelyusing the multi-dimensional Cauchy-Hadamard theorem.

Description

technical field [0001] The invention belongs to the technical field of power system analysis, and in particular relates to a high-dimensional static voltage stability boundary calculation method based on a multidimensional holomorphic embedding method. Background technique [0002] How to quickly and accurately calculate the high-dimensional static voltage stability boundary of the power system is of great significance for evaluating the voltage stability of the power system. [0003] The traditional continuum power flow method continuously adopts iterative prediction-correction strategies in all directions to solve the high-dimensional static voltage stability boundary, but such methods will generate huge computational burdens in the face of large-scale power systems, making it difficult to achieve online applications. Later, technologies such as the tangent surface method and the orbit method were proposed, but such technologies only used the information of a limited numbe...

AI Technical Summary

Problems solved by technology

Therefore, the holomorphic embedding method and the Padé approximate analytical continuation technique are often combined to solve the static voltage stability boundary in a certain direction, but such methods cannot directly calculate the high-dimensional static voltage stability boundary and are often time-consuming when faced with large-scale power systems

In general, the existing technology methods are difficult to quickly and accurately solve the high-dimensional static voltage stability boundary of the power system

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