Electromagnetic transient simulation method of electric system based on matrix exponential

Abstract

An electromagnetic transient simulation method of an electric system based on a matrix exponential comprises the steps of establishing an electromagnetic transient simulation model, as shown in the specification, of the system to be studied under a state analysis frame, starting a simulation program after setting simulation step sizes delta t and relevant simulation parameters, forming an augmented state matrix with an excitation source g(t) of the current moment, each derivative information and a state matrix A in each simulation step size, solving the matrix exponential e<delta t A> by a Scaling and Squaring algorithm, performing matrix vector multiplication on an augmented state vector formed with a state variable vector x(t) and a p-dimensional unit vector, taking a result as a state variable of the current moment, obtaining an output vector y(t) through an output equation, writing into an output file, simulating and boosting one step size, and judging a short circuit, an open circuit and switch motion firstly in the next simulation step size. The method can achieve electromagnetic transient modeling simulation of the electric system with a complicated structure, asymmetric height, and the model having the characteristic of rigidity.

Description

technical field [0001] The invention relates to a modeling method for electromagnetic transient simulation of a power system. In particular, it involves a matrix index-based electromagnetic transient simulation method for 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, and the instantaneous value waveform of the three-phase voltage and current in the range of tens of kHz to power frequency can be obtained. In order to accurately obtain the high-frequency characteristics in the dynamic process of the system, the simulation step size of the electromagnetic transient is usually at the microsecond level. With the development and wide application of DC transmission technology, the interconnection of AC and DC systems poses new challenges to electromagnetic transient sim...

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Problems solved by technology

From the perspective of computational overhead, the implicit method needs to solve linear equations in each time step, which greatly limits its ability to simulate large-scale systems

In contrast, the traditional explicit method does not need iteration, and the amount of calculation in each time step is small, but its limited numerical stability domain makes the simulation step size constrained. Overall, the simulation performance of rigid systems is not good.

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