TOOLS FOR DYNAMIC ANALYSIS OF THE GENERAL LARGE POWER-SYSTEM USING TIME-VARYING PHASORS

This paper extends the applicable range of phasors for transient analysis from the traditional slow quasi-stationary range to accommodate fast speeds up to the carrier frequency. Rigorous phasor calculus is developed for time varying low pass phasor signals whose bandwidths are less than the 60 Hz carrier frequency. Symmetrical components technique for analysing quasi-stationary unbalanced power system transients is extended to cover the low pass time-varying phasors. It is also proved that the time varying phasors can be used for computing the fast electromagnetic transients within the linear RLC lumped parameter representation of the transmission network irrespective of the transient speeds. In linear networks, this time-varying phasor concept unifies two classical approaches: (1) transient analysis using instantaneous currents and voltages, and (2) steady state analysis using traditional phasors, into analysing both behaviours precisely using the time-varying phasors.