Closed-form optimization of multi-transmitter wireless power transfer systems

While the physical limitations of single-transmitter wireless power transfer (WPT) systems are well-known, systems with multiple transmitters prove difficult to optimize, in order to find their maximum achievable performance. The optimization process leading to a convex quadratic program is outlined and closed-form expressions solving that problem analytically are reviewed. Comparison of results obtained from these formulations and others aquired from analytical modeling show perfect agreement; thus, it is verified that the formulations are equivalent. Hence, they offer a compact and insightful analytical framework for the design and optimization of emerging multi-transmitter WPT topologies.