Improvement of modeling techniques of transients in transformers based on magnetoelectric equivalent schemes

Purpose. Use of an improved numerical method calculating transient processes in electrical circuits for modeling electromagnetic nonlinear magneto-electric circuits, and also development a circuit model based on this method, which leads to the convenience calculation. Methodology. Approximation functions by Chebyshevs polynomials, methods differential equations integrating, matrix methods, spline interpolation, programming, theory electric magnetic circuits. Findings. On base well-known process analysis linear calculation equivalent transformer has been developed. By help proposed it is possible reduce processing time transformers. The example using developed shown. computer program single-phase described This shows reduction processor more than four times compared examples calculations other known methods. Originality. solution state presented form decomposition into series along orthogonal polynomials used work. polynomial approximation applied work not corresponding function itself, but its derivative, significantly reduces error integration equations. Differential are transformed algebraic special images functions. A principle constructing substitution appear. Images true dynamic currents fluxes scheme interpreted as direct fluxes. shown advantages accuracy simulation over application Practical value. opens up possibility apparatus with Based this, universal software complex being calculate transients transformers various constructions.