Multivariate modeling of uncharacteristic harmonics using archimedean copulas

This paper introduces “Copulas” analytical tool for multivariate modeling of stochastic harmonic generation mechanism. Additional stochastic harmonics can be modulated through the power inverters at the point of common coupling (PCC) under unbalanced non-linear loads. The proposed multivariate unbalance modeling via copulas is applied to evaluate aggregate harmonics injection at the PCC. Copulas have become a popular analytical tool in multivariate modeling, where recently has been applied in many fields. Here, the contributions of copulas to Monte Carlo method are described. It is first come up with modeling unbalance of three-phase active and reactive powers at a distribution substation. To introduce a firmer basis for the suggested procedure, the investigation is carried out based on the measured data for pursuing further analysis that is associated with simulating statistical correlation between stochastic harmonics and realistic unbalanced conditions for a static compensator (STATCOM) at the point of common coupling (PCC).