Bivariate normal distribution and direct normal distribution on randomly varying harmonic currents

This paper presents the comparative results of using both bivariate normal distribution (DND) and direct normal distribution (DND) methods to analyze the sum of injected harmonic currents produced by randomly fluctuating loads. The simulated results of both methods are obtained by using multiple-dimension Monte Carlo integration on hybrid harmonic loads. The Monte Carlo simulation is also employed to justify the obtained results. The simulation results show that both methods result in similar characteristics. However, the DND method is superior to the BND one since it needs only two probabilistic parameters to express the probability density distribution of the magnitude of the sum of the randomly varying harmonic currents.