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

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...

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Bibliographic Details
Published in:Mathematical problems in engineering 2013-01, Vol.2013 (2013), p.1-10
Main Authors: Tokic, Amir, Uglesic, Ivo, Stumberger, Gorazd
Format: Article
Language:English
Subjects:
Advantages
Computational mathematics
Computer engineering
Computer simulation
Differential equations
Electric power
Electrical engineering
Electricity generation
Inrush current
Mathematical analysis
Mathematical models
Mathematical problems
Methods
Nonlinearity
Numerical analysis
Numerical differentiation
Numerical methods
Ordinary differential equations
Resistors
Transformers
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Summary: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.
ISSN:1024-123X
1563-5147
DOI:10.1155/2013/215647