Electromagnetic transient simulation interpolation method of state variable oriented nodal analysis combination frame

Abstract

The invention discloses an electromagnetic transient simulation interpolation method of a state variable oriented nodal analysis combination frame. The method comprises the steps of respectively building an electromagnetic transient simulation model of a research system on the basis of a nodal equation and a state equation; performing a trapezoidal method integral solution on a combination frame formed by the nodal equation and the state equation from the time t to time t+delta t; detecting all switch motion conditions; changing the state of switches, and rebuilding a transient compute matrix; re-detecting all the switch motion conditions; applying a linear interpolation method to extrapolate the time values including ts and ts+delta t/2 of the nodal equation and the state equation in the combination frame to the time value ts-delta t/2; adopting a two and a half step backward eulerian method to reinitialize the combination frame from the time ts-delta t/2 to the time t+delta t; comparing the context of the time ts+delta t/2 with the time t+delta t, if ts+delta t/2 is greater than t+delta t, performing one-step linear interpolation to obtain the value of the time t+delta t, and otherwise, performing the trapezoidal method integral solution on the combination frame from the time ts+delta t/2 to the time ts+3delta t/2. According to the electromagnetic transient simulation interpolation method, the calculation and reinitialization of the system state at the switch motion moment can be realized so as to eliminate the numerical value vibration problem after the switch moves.

Description

technical field [0001] The invention relates to a method for electromagnetic transient simulation of a power system. In particular, it relates to an electromagnetic transient simulation interpolation method oriented to a state variable nodal analysis hybrid framework. Background technique [0002] In essence, the electromagnetic transient simulation of power system can be attributed to the calculation of the time domain response of the dynamic system, which includes the mathematical model of the system itself and the corresponding numerical algorithm. The basic simulation framework can be divided into two categories, namely, the node Nodal Analysis and State-space Analysis. The electromagnetic transient simulation method based on nodal analysis can be summarized as first adopting a certain numerical integration method (usually the trapezoidal integration method) to differentiate the characteristic equations of the dynamic components in the system, and obtain the parallel fo...

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Problems solved by technology

For the state equation, since the component composition and system structure of the system described by it are not clear, it cannot be corrected by component-level interpolation; at the same time, the composition of the state variables may be richer depending on the system described. Not limited to inductor current and capacitor voltage

[0024] The electromagnetic transient simulation method based on the state variable node analysis hybrid framework takes into account the advantages of the node analysis method and the state variable analysis method, and improves the modeling, simulation and analysis capabilities of the traditional simulation program based on the node analysis framework. The variable node analysis hybrid framework only solves the compatibility problem of the two simulation methods of node analysis and state variable analysis from the system level, and the interpolation method for node equations is not completely suitable for the state equation processing under the hybrid framework, especially for the hybrid The state equation under the framework does not take into account the application of interpolation algorithms in the simulation of large-scale power electronic circuit systems

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