Stochastic partial differential equation based wind speed fluctuation characteristic modeling method

Abstract

The invention provides a stochastic partial differential equation based wind speed fluctuation characteristic modeling method, comprising steps of: according to sample wind speed data, constructing a stochastic partial differential equation about wind speed variation, and obtaining a typical wind speed variation sequence by solving the stochastic partial differential equation; then, by fitting a probability distribution function of the sample wind speed, randomly generating a wind speed sequence, and using the solved typical wind speed variation sequence to reconstruct the random wind speed sequence according to the principle of least square method, thereby obtaining a final wind speed model; finally, verifying correctness of the modeling method through comparison with a measured wind speed sequence. The method provided by the invention can effectively depict the real wind speed fluctuation characteristics, and overcome the problem that the existing wind speed model can only consider the probability distribution of wind speed from one aspect; the wind speed model established by using the method provided by the invention can not only reflect the conditions of the probability distribution of wind speed, but also show the fluctuation characteristic of the wind speed within a required study period.

Description

technical field [0001] The invention proposes a modeling method for wind speed fluctuation characteristics based on stochastic partial differential equations, belonging to the technical field of renewable energy power generation modeling. Background technique [0002] Under the background of the rapid development of renewable energy, the proportion of wind power in the power system is gradually increasing, and the access of wind power has brought an important impact on the planning and operation of the power system. The random fluctuation of wind speed itself has an impact and influence on the operation of the power system, which is an uncertain factor; in addition, the access of wind power increases the random fluctuation of system node voltage, frequency and branch power flow. Therefore, establishing a real wind speed change model and determining its change rule are important prerequisites for studying the dynamic characteristics of a power system including wind power. ...

AI Technical Summary

Problems solved by technology

These models can simulate the frequency characteristics of wind speed changes well, but because they all use a constant average wind speed constant as the low-frequency component, within the corresponding single time scale, the wind speed trend is relatively single and unchanged, and cannot reflect the various trends of wind speed changes , and cannot reflect the statistical characteristics of wind speed on small and medium time scales

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