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Transient analysis of single-phase two-winding linear transformers using a distributed-parameter \(s\)-domain method. (English) Zbl 0905.65078

Summary: Based on a distributed-parameter model of a single-phase two-winding linear transformer, closed-form \(s\)-domain expressions are derived for the temporal and spatial voltage and current distributions along the primary and secondary windings under transient conditions. These expressions take into account both the inductive and capactive coupling between the two windings, in addition to the usually-considered inter-turn coupling within each winding. Using a numerical inverse Laplace transform, the time-domain solution, and the corresponding spatial distributions, are obtained for various exciting voltages at the transformer’s terminals. Numerical simulation results of several case studies are presented here using the proposed \(s\)-domain method, and are compared with those obtained from the well-known circuit simulation program SPICE which uses a cascaded lumped-parameter model.

MSC:

65L05 Numerical methods for initial value problems involving ordinary differential equations
44A10 Laplace transform
65R10 Numerical methods for integral transforms
78A55 Technical applications of optics and electromagnetic theory
34A30 Linear ordinary differential equations and systems
94C05 Analytic circuit theory
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