Elimination of Overshooting Effects and Suppression of Numerical Oscillations in Transformer Transient Calculations

This paper presents an original method of modeling nonlinear elements, particularly acceptable in the calculation of low-frequency transformer transients. A way of generating the state matrix coefficients is described. An algorithm is developed for state variable calculations based on the hyper stab...

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Bibliographic Details
Published in:IEEE transactions on power delivery 2008-01, Vol.23 (1), p.243-251
Main Authors: Tokic, A., Uglesic, I.
Format: Article
Language:English
Subjects:
Acceptability
Algorithms
Applied sciences
Backward differential formula (BDF) method
Conversion
Differential equations
Eigenvalues and eigenfunctions
Electrical engineering. Electrical power engineering
Electromagnetic analysis
Electromagnetic transients
Exact sciences and technology
Inductance
Large-scale systems
Libraries
Mathematical analysis
Mathematical models
Nonlinear equations
nonlinear inductance
numerical oscillations
Oscillations
overshooting
Polynomials
Stability
State variable
transformer
Transformers
Transformers and inductors
transients
trapezoidal rule
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Summary:This paper presents an original method of modeling nonlinear elements, particularly acceptable in the calculation of low-frequency transformer transients. A way of generating the state matrix coefficients is described. An algorithm is developed for state variable calculations based on the hyper stable backward differentiation formulas (BDF) BDFp, p-th order. The advantages of developing an algorithm which enables elimination of overshooting effect, as well as the suppression of numerical oscillations in low-frequency transformer transient calculations, are presented. Also, the reasons for the existence of overshooting effects and numerical oscillations are identified when the transformer transients are calculated in a nodal formulation of equations based on the trapezoidal method. It is shown that an implemented equation conversion procedure and/or a stiff system equation are indeed causing numerical oscillations in transformer transient calculations.
ISSN:0885-8977
1937-4208
DOI:10.1109/TPWRD.2007.911107