Voltage Unbalance Factor Reduction Method for Inverter-Based Resources Considering Active Power Constraint

Unbalanced voltages have a significant impact on power system security. Inverter-based resources (IBRs) show great potentials in managing the unbalanced voltages. However, the mitigation of voltage unbalance factor (VUF) through IBRs is challenged by the nonlinearity stemming from the product of voltage and current, and square root operation considering active power constraints. In this letter, a VUF reduction model considering active power constraint is established and solved analytically by the Karush-Kuhn-Tucker (KKT) conditions. Compared with the existing unbalance optimal methods, the proposed method shows a better performance in VUF reduction. Moreover, the solution of the proposed method is no iteration required.