Generalized Mathematical Modeling of N-Phase Power Systems

ABSTRACT

The analysis of the polyphase power systems is normally carried out by assuming a perfectly balanced system. However, power system is generally unbalanced because of various reasons. Therefore, it is desirable to analyse the power system taking imbalances into account. Hence, it is necessary to develop mathematical formulations of various components of the power systems in phasor co-ordinates. In this paper, detailed mathematical models for general n-phase components have been developed. These models will be useful for conducting the steady state as well as the transient analysis of the multiphase systems in phasor co-ordinates. Finally, the paper concludes with the discussion on the findings based upon these models.