Power flows of three series non-conservatively coupled oscillators part Ⅰ:Theroy

In this paper, the formulae of power flows in a three series non-conservatively coupled oscillators, subjected to random forces, have been derived. It is showed that the power flows between the three series non-conservatively coupled oscillators, similar to that of the three series conservatively coupled oscillators, include the direct power flow and the indirect power flow, The dierct power flow and the indirect power flow are proportional to the difference of the stored energies in the directly coupled and indirectly coupled oscillators respectively. The proportionality constants are the functions of the parameters. of the oscillator and coupling.