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

Abstract

The invention discloses a high-dimensional static voltage stability boundary calculation method based on a multidimensional holomorphic embedding method, which belongs to the field of power system analysis. First, the multidimensional holomorphic embedding method containing multiple physical mapping factors is used to solve the power system power flow equation, thereby obtaining The analytical expression of the multivariable power series form of the node voltage; then based on the multidimensional Cauchy-Hadama theorem, the analytical expression of the high-dimensional static voltage stability boundary is derived, and the high-dimensional static voltage stability boundary is calculated. The invention uses a multidimensional holomorphic embedding method containing multiple physical mapping factors and combines the multidimensional Cauchy-Hadama theorem to quickly and accurately calculate the high-dimensional static voltage stability boundary in an analytical form.

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 multi-dimensional 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 continuous power flow method continuously uses 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 power systems, making it difficult to achieve online applications. Later, techniques such as the tangent surface method and the orbital method were proposed, but these techniques only use the information of a limited number of poi...

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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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