Transient simulation multi-time scale output method for matrix exponents

Abstract

Provided is a transient simulation multi-time scale output method for matrix exponents. The method includes the steps of determining the structure and parameters of a power system to be simulated, obtaining a transient model in a differential equation mode, initializing and starting a simulation program, forming a state matrix in each simulation step size according to a matrix exponent method, determining the number of available continuous square links of each step size, calculating a Pade approximation matrix of the matrix exponent function, obtaining the approximate value of the state vector of multiple intermediate nodes between discrete time nodes through continuous square operation and matrix vector multiply operation of the approximation matrix, boosting simulation by one step size, and carrying out operations in an iterative manner until simulation is finished. The method achieves decoupling between the simulating calculation step size and the result output step size of a matrix exponent integration method, so that the good numerical precision and the rigid processing capacity of the matrix exponent integration method are brought into full play, and the matrix exponent integration method is applicable to the transient simulation field of power systems with the multi-time scale characteristic.

Description

technical field [0001] The invention relates to a dense output method for transient simulation. In particular, it relates to a multi-time-scale output method for matrix exponential transient simulation. Background technique [0002] The power system is a complex system composed of a large number of equipment for power generation, transmission, distribution, and consumption of electricity and related auxiliary systems, involving various dynamic processes such as electromagnetic transients, mechanical transients, electrochemical processes, and thermodynamic processes. Multi-timescale features. [0003] In the field of traditional power system digital simulation, two modeling and simulation methods, electromagnetic transient simulation and electromechanical transient simulation, have been developed for different time scales of the dynamic process of power systems. Both have different characteristics from mathematical models to simulation algorithms. . Among them, the electro...

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Problems solved by technology

However, for the field of power system simulation dominated by the implicit trapezoidal method, the single-step calculation of the matrix exponential integration method is relatively large. Under the same step length, although the matrix exponential integration method can provide more accurate simulation results, the simulation software The problem of calculation time that users are more concerned about is even worse; if the simulation step size is set according to the simulation results with the same error level as the trapezoidal method, although the problem of calculation time is solved, the simulation step size is too large at this time, often Inability to provide sufficient sampling frequency may miss fast dynamic details in the dynamic process of the system

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