This paper presents a bottom-up bivariate analysis approach to estimate current harmonics by taking account of network and load variations. The current harmonics assessment in the presence of existing and future nonlinear loads is vital to study their impact on the distribution grid. The traditional harmonic analysis models consider only stable loads while neglecting the harmonic interaction among the devices. Modern nonlinear loads operate under different working modes and configurations. Thermal stability, harmonic cancellation, and dynamic network parameters influence the current harmonic estimations. In this paper, a probabilistic approach is presented to model harmonic emission in the low voltage distribution grid under network and load uncertainties. A case study is used to demonstrate effectiveness of the proposed model.
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