Generalized Design of Load-Independent Voltage-Fed Resonant Networks

Load independence ensures stable output voltage or current across varying load conditions. Resonant converters can achieve load independence passively, which is useful in some applications. Nevertheless, the conditions that lead to load independence are usually computed on a network-by-network basis. This work presents general mathematical models for an n-mesh voltage-fed ladder network, describing the transadmittance between any mesh current and input voltage. We derive general and specific solutions for even- and odd-numbered mesh networks, demonstrating that both can exhibit current- or voltage-source characteristics under suitable conditions. This systematic approach enables the design of resonant converters with tailored output characteristics. The results are validated through a 4-mesh DS-LCC wireless power system.