Design Theory of a Standing Wave Mitigator for a Moving Load Along a Transmission Line

To make the dream of wireless powering to running electric vehicles come true, this paper presents a viable solution to the standing wave problem inevitably arising on a long electrified roadway. We introduce a left-handed (LH) circuit to function as a standing wave mitigator. As a power loss index in the circuit, we formulate the LH circuit with Poincaré length. We then consider a long transmission line, along which multiple LH circuits are periodically inserted. By extending the formula, we explore how the total Poincaré length behaves when we sweep the load impedance and the number of segments. Results reveal the condition for achieving the minimum total Poincaré length.