This paper solves the problem of optimization of energy transmission efficiency in the two dimensional omnidirectional charging cyber physical system (2DOWC-CPS) with two phase alternating current (AC) power supply

the frequency bifurcation and energy transmission mechanism are found

and a formal model of the system is established by using hybrid automata theory.An optimal transmission control strategy adopting different power supply modes when the load is in different intervals determined by the characteristic parameters of the physical coils is put forward

and a reactive algorithm based on the optimal control strategy is also developed to carry out the frequency optimization of energy transmission efficiency.It simulates the frequency bifurcation phenomenon under resonant condition

and verifies the optimal transmission theory model under two-phase AC power supply.So

it provides an application reference for mobile charging including electric vehicles and smart phones.