Stochastic Stability Analysis Method of Power System Containing Wind Power Based on Markov Theory

Abstract

The invention provides a stochastic stability analysis method for a power system containing wind power based on Markov theory, establishes a Markov model of wind speed and a stochastic dynamic model of a doubly-fed induction generator, and establishes a stochastic Markov dynamic of a power system containing a doubly-fed induction generator Model, put forward the criterion applicable to the system stochastic Markov dynamic model. Based on the stochastic Markov theory, the present invention analyzes the system stability by establishing a stochastic Markov dynamic model of the wind power system. According to the definition of random mean square stability of the system, using the relevant knowledge of the M matrix, the random Markov dynamic model based on the system is used to determine the randomness of the system. Practical criterion of mean square stability; the present invention overcomes the limitations of stochastic equations, and can more accurately describe the dynamic behavior of wind power systems in the case of large-scale random fluctuations in wind speed, based on the stochastic Markov dynamic model derived from the system Compared with other criteria, the criterion is more practical, more concise and has a wider scope of application.

Description

technical field [0001] The invention relates to a power system, in particular to a random stability analysis method of the power system. Background technique [0002] In recent years, with the rapid development of new energy power generation, more and more new energy power generation such as wind power and photovoltaics has been incorporated into the power system. The fluctuation and randomness of wind power output power greatly affect the stability of the power system. And power quality, poses a huge challenge to the safe and economical operation of modern power systems. [0003] Traditional power system analysis mostly uses ordinary differential equations to describe the dynamic behavior of the system, and analyzes its stability by solving the characteristic roots of the state equation. For the random disturbance phenomenon existing in the system, the Monte Carlo method is usually used to analyze the stability of the system by using the knowledge of probability and statis...

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Problems solved by technology

But fundamentally speaking, the Monte Carlo method is still a deterministic analysis method, which does not essentially describe the impact of random factors on the dynamic operation of the power system, and the probability and statistics method needs to generate a large number of scenarios, which requires a large amount of calculation, time-consuming and labor-intensive

[0004] In addition, some scholars use stochastic differential equations to describe the dynamic behavior of power systems under random disturbances, but for power systems including wind power, stochastic differential equations can only describe the dynamic behavior of system state variables under random disturbances Response, unable to describe the impact of wind power on the power system when the wind speed fluctuates in a wide range

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