Abstract: In this paper,based on the theory of power flow and energy distribution be-tween non-conservat ively co upled os cillators under correlated excit at ions, the equations ofenergy balance for the oscillators are derived and statistical energy analysis theory for non-conservatively coupled systems under correlated excitations is developed. The results showthat the input power vector is substited by the equivalent one, the symmetrical statisticalenergy parameter matrix is substited by the non-symmetical statis...