An Implicit Order Reduction Simulation Method for Electromagnetic Transients Based on Matrix Exponent

Abstract

The invention discloses an electromagnetic transient implicit reduced order simulation method based on a matrix index. The electromagnetic transient implicit reduced order simulation method comprises the steps of constructing a high-dimensional nonlinear electromagnetic transient simulation model of a power system to be researched under a state analysis framework; setting simulation parameters such as a dimension number m of a dimension reduction sub space, and initializing and starting a simulation program; generating an augmentation state matrix and a state vector within each simulation step length, and generating an orthogonal basis of the dimension reduction Krylov sub space by an Arnoldi algorithm; approximating a high-dimension matrix index of an original system by a low-dimension matrix index according to a Krylov sub space approximating formula of the matrix index, calculating a nonlinear equation to obtain a state variable at the current moment, and boosting one step length for simulation; performing iteration in sequence until simulation is ended. According to the electromagnetic transient implicit reduced order simulation method, high value precision and high rigid processing performance of a matrix index integration method are kept, and general purpose modeling simulation capacity is realized on the nonlinear characteristic of the power system; by the implicit reduced order method, the application range of the matrix index integration method in the field of large-scale power system electromagnetic transient simulation is expanded.

Description

technical field [0001] The invention relates to an electromagnetic transient implicit order reduction simulation method. In particular, it relates to an electromagnetic transient implicit order reduction simulation method based on matrix exponents, which is suitable for the application of electromagnetic transient modeling and simulation in power systems. Background technique [0002] The electromagnetic transient simulation of the power system mainly reflects the change process of the electrical quantity generated by the interaction between the electric field and the magnetic field in the system. Using detailed dynamic modeling and microsecond-level simulation step size, the frequency range from power frequency to tens of kHz is obtained. The three-phase voltage and current instantaneous value waveform. In recent years, some new simulation scenarios have appeared in the actual operation of my country's power system. The system scale is large and the simulation time is long...

AI Technical Summary

Problems solved by technology

Such dimension reduction processing methods are often empirical, and it is difficult to uniformly and quantitatively obtain the impact of the dimension reduction process on the accuracy of the final simulation results

In fact, the behavior of interconnected dynamic systems is often complex and unpredictable, and simplification of a part of the interconnected system in isolation is likely to result in the loss of key dynamic properties

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