Power-Factor Compensation is Equivalent to Cyclodissipassivation

In a previous work we have identified the key role played by the concept of cyclodissipativity in the solution of the power-factor-compensation problem for electrical circuits with general nonlinear loads and operating in nonsinusoidal regimes. Namely, we have shown that a necessary condition for a (shunt) compensator to improve the power transfer is that the overall system satisfies a given cyclodissipativity property. In this work, we extend the results of proving that cyclodissipativity is actually necessary and sufficient for power- factor improvement. We prove in this way that cyclodissipativity provides a rigorous mathematical framework useful to analyze and design power-factor compensators. Moreover, we give an energy equalization interpretation of the power-factor-compensation problem.