Transient stability network equation algorithm based on full-pure embedding

Abstract

The invention provides a transient stability network equation algorithm based on full-pure embedding, and the algorithm comprises the steps: taking a node voltage equation and a generator voltage equation which are represented by a real part and an imaginary part and contain a non-linear load, and carrying out the joint elimination of a power grid current through the two equations, thereby obtaining a non-linear network equation; introducing an all-pure embedding factor into the nonlinear network equation, and enabling a voltage variable to be solved in the nonlinear network equation to be an all-pure function about the all-pure embedding factor; calculating a virtual current expansion item of the generator according to a non-linear network equation in a full-pure function form, and solving various coefficients of a voltage variable item by item; and seleceting a numerical approximation method, and restoring the voltage variable according to various coefficients of the voltage variable. According to the transient stability network equation algorithm, the problem that the load current is not synchronous in time during constant power load can be solved, the coefficient of the expansion item of the target variable analytical expression is obtained by solving the linear equation set of the same coefficient matrix for multiple times to restore the target variable, and the problem that a nonlinear system needs to be solved is avoided.

Description

technical field [0001] The invention relates to the technical field of power systems, in particular to a transient stability network equation algorithm based on holomorphic embedding. Background technique [0002] In most cases, the transient stability of the power system is solved and analyzed step by step using the numerical integration method, which is currently widely used in offline simulation software and online evaluation systems. In the time dimension, it can simulate the dynamic process of the generator, the disconnection of the line in the power grid, etc., and realize the transient stability calculation by alternately solving the rotor motion equation and the network equation. However, the calculation is generally time-consuming, and it is difficult to meet the requirements of real-time decision-making. For systems containing nonlinear loads such as wind power, photovoltaics, and converter stations, there are problems in the selection and calculation of transient ...

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Problems solved by technology

None of the above methods can solve the problem of difficult selection and calculation of transient characteristic models in systems with nonlinear loads

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