Deriving Meaningful Equivalent Circuits for Electrically Small Multi-Conductor Structures

A new circuit reduction algorithm for generating physically meaningful equivalent circuits for electrically small structures is proposed in this work. It makes use of the generalized Y-to-Delta transformation as well as features unique to partial element equivalent circuits (PEECs) to perform the reduction process. For a given partial element equivalent circuit, insignificant nodes are removed one by one in a prioritized order according to both user-specified cut-off frequency and threshold value. By having the freedom of choosing these parameters, this algorithm provides users an option to make a tradeoff between accuracy and simplicity of the final reduced circuit. Since the generalized Y-to-Delta transformation can keep all mutual couplings intact, the order-reduced circuit should correctly capture all physical essences of the structure being modeled. Two examples are presented in this paper to validate the proposed algorithm. The equivalent circuits obtained can indeed reflect all essential physical features, demonstrating that the algorithm is a useful tool for designing and analyzing electrically small multi-conductor structures.