1. Numerical Calculations of Three-Phase Transformer Transients.
- Author
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Tokic, Amir, Madzarevic, Viado, and Uglesic, Ivo
- Subjects
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MATHEMATICAL models , *DIFFERENTIAL equations , *COMPUTER simulation , *NUMERICAL analysis , *COMPUTER software , *MATHEMATICAL analysis - Abstract
A three-phase, two-winding transformer model is presented in this paper. Nonlinear magnetizing curves are piece-wise linearized, while the input winding capacitances are lumped onto the transformer terminals. A stiff system of differential equations in a state space, describing the transformer transient behavior, is solved using the L-stable backward differentiation formulas (BDFs) numerical rule. It has been shown that using the BDF numerical rule has resulted in better stability properties than using the trapezoidal rule. A computer program has been developed for generation of variable-state waveforms. The developed program is suitable for simulations of low-frequency three-phase transformer transients such as inrush currents and ferroresonance. This computer program has proved to be nu- merically stable for the problems investigated in this paper. The results acquired in this way are compared to results obtained using MATLAB/Power System Blockset, as well as to results of laboratory measurements. [ABSTRACT FROM AUTHOR]
- Published
- 2005
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