Time-varying power system stability analysis system and method based on lasalle invariance principle

Abstract

The invention belongs to the power system stability analysis and control field and particularly relates to a time-varying power system stability analysis system and method based on the lasalle invariance principle. The system comprises a non-linear model generation module, an LMI solution module, a Lyapunov function construction module and a transient stability domain generation module which are sequentially connected. The method comprises steps that a multi-machine power system non-linear dynamics model is constructed, and a non-linear model reasonable boundary is described; a construction problem of a power system Lyapunov function is converted into a feasible solution problem of a set of linear matrix inequality, and a Lyapunov function cluster is constructed; a multi-element state quantity-energy stability boundary is constructed, and a transient stability domain capable of visually reflecting a system state and carrying out safety early warning is established. The method is advantaged in that problems that an energy function of a standard construction method can not be given in researches in the prior art and conservatism of describing a stability domain is relatively high are effectively solved.

Description

technical field [0001] The invention belongs to the field of power system stability analysis and control, in particular to a time-varying power system stability analysis system and method based on the Lassalle invariant principle. Background technique [0002] From the perspective of nonlinear system stability, the core of safety and stability analysis of time-varying power systems under large disturbances is to judge whether the system operating point is in the post-fault system stability domain at the instant when the fault is cleared. The traditional time-domain simulation method obtains the response curve of each state variable of the system over time by solving the system state equation, so as to judge whether it is stable or not. The direct method directly judges whether the operating point at the moment of fault clearing is in the stable region by determining the stable boundary of the system. Therefore, the core task of the direct method is to estimate the region of...

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Problems solved by technology

[0003] In terms of the construction of the energy function, a large number of scholars have made in-depth and extensive research on this topic. However, there are still no standard construction methods and the high conservati

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