Power Definitions for Unbalanced Polyphase Power Systems with Sinusoidal Voltages and Currents Based on Regression Model

This paper considers power definitions for unbalanced polyphase power systems with sinusoidal voltages and currents. Based on the regression model, novel formulations of apparent, reactive, and unbalanced powers using voltage and current covariance indicators have been derived. The definitions of total power factor, symmetry factor, and power displacement power factor are proposed using the Pearson correlation coefficient. The illustrative examples are given to confirm the validity and applicability of the proposed definitions.