On power factor improvement by lossless linear filters in the nonlinear nonsinusoidal case

Recently, it has been established that the problem of power factor compensation (PFC) for nonlinear loads with non-sinusoidal source voltage can be recast in terms of the property of cyclodissipativity. Using this framework we study the PFC for nonlinear loads containing a memoryless nonlinearity. We show that the power factor is improved by lossless linear time invariant filter if and only if a certain equalization condition between the weighted powers of inductors and capacitors of the load is ensured.