A State Space Representation Model for Parasitic Losses in MIMO Capacitive Wireless Power Systems

Generally, an idealized equivalent circuit is used to model capacitive wireless power transfer, ignoring equivalent series resistances. However, given the picofarad range of electric coupling, more detailed models that include these non-idealities are required. Unfortunately, taking into account parasitic effects can result in rising calculation complexity, in particular for a capacitive wireless power transfer system with multiple transmitters and multiple receivers, i.e., a Multiple Input - Multiple Output configuration. In this work, a model based on state space representation is applied to allow easy calculation of the optimal operating state, i.e. maximizing efficiency or power output. The model is applied to an illustrative example of capacitive wireless power transfer with multiple transmitters and receivers, highlighting the differences between the idealized and non-ideal equivalent circuit representation.