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A method for coupling phasor and time domain networks

A method for coupling dynamic phasor models to time domain resistive companion networks is proposed for power system simulation. The method uses controlled sources, modified nodal analysis, and a discrete Fourier transform (DFT) phasor estimation. A coupling device using this technique is implemented in Virtual Test Bed (VTB). The accuracy and stability of the method is verified with two test systems, including a system consisting of a phasor electrical network attached to a three phase induction motor. The hybrid simulations produce exact steady-state results, nearly exact results for slow transients (on the order of 10 cycles), and good approximations for faster transients (on the order of 1 cycle). Unbalanced fault conditions are also simulated with satisfactory results.