Modeling and Simulations of Ferroresonance by Using BDF/NDF Numerical Methods


The predictive power of transient ferroresonance simulations depends mainly on the accuracy and fidelity of the ability transformer model used for simulating complete systems involving all relevant network elements. This paper considers three ways that of transformer iron-core modeling relevant for ferroresonance simulations that are presented well. The presented transformer models are appropriate for the state-house kind of differential equation systems that describe the ferroresonance impact. Before solving the obtained differential equation systems, their numerical eigenvalues were analyzed well. This eigenvalue analysis has revealed a terribly stiff nature of the obtained equation systems. The obtained equation systems are solved by employing a A- and L-stable numerical differentiation formulas (NDF) numerical technique, with the aim of suppressing undesired numerical oscillations. The obtained numerical results are verified by comparison against the available experimental results. The presented analysis shows that the prompt transformer model primarily based on a hysteretic core inductor provides the foremost accurate results in terms of voltage and current waveforms and their peak values during the steady-state and transient ferroresonance. The analyzed transformer core models can be implemented in the prevailing Electromagnetic Transients Program-sort simulation tools by using a combination of the trapezoidal and proposed NDF2 method.

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