Akademik Veri Yönetim Sistemi
IEEE Transactions on Circuits and Systems I: Regular Papers, 2026 (SCI-Expanded, Scopus)
This paper proposes a generalized, step-by-step companion-circuit formulation for mutual inductances with arbitrary numbers of windings and dot polarities. Starting from the continuous-time terminal relations, the method systematically converts coupled-inductor differential equations into a purely algebraic discrete-time equivalent network consisting of resistors, independent sources, and voltage-controlled current sources, enabling direct assembly in modified nodal analysis without transformer-equivalent conversions. Thereby, it provides a significant simplification in obtaining system equations and numerical implementation. This modeling framework offers an alternative method for simulating circuits containing double, triple, or multi-winding coupled inductive elements in discrete-time electromagnetic transient analysis programs and other circuit simulation environments. Although Backward Euler is used to demonstrate the derivation and to build a fully discrete-time model, the proposed modeling procedure is numerical-method agnostic, general and can be transferred to other integration schemes by replacing the underlying discretization of the terminal relations. Validation is performed on a three-winding coupled-inductor circuit with mixed R–L and C loads and on a switched-circuit case, both are benchmarked against circuit simulators under identical terminal conditions. Benchmark results indicate that the proposed method provides a significant computational cost advantage and very high numerical accuracy.