Simulations of Transformer Inrush Current by Using BDF-Based Numerical Methods

Amir Tokić, Ivo Uglešić and Gorazd Štumberger

Mathematical Problems in Engineering, 2013, vol. 2013, 1-10

Abstract:

This paper describes three different ways of transformer modeling for inrush current simulations. The developed transformer models are not dependent on an integration step, thus they can be incorporated in a state-space form of stiff differential equation systems. The eigenvalue propagations during simulation time cause very stiff equation systems. The state-space equation systems are solved by using A - and L -stable numerical differentiation formulas (NDF2) method. This method suppresses spurious numerical oscillations in the transient simulations. The comparisons between measured and simulated inrush and steady-state transformer currents are done for all three of the proposed models. The realized nonlinear inductor, nonlinear resistor, and hysteresis model can be incorporated in the EMTP-type programs by using a combination of existing trapezoidal and proposed NDF2 methods.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:215647

DOI: 10.1155/2013/215647

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