Summary
This paper presents the implementation of quasi‐Newton least mean fourth (QNLMF) control algorithm in the area of wind‐based off‐grid three‐phase four‐wire distributed power generation system for mitigation of power quality problems. Using the proposed control, reference current for voltage source converter is generated in such a way that the power quality problems such as load unbalancing, neutral current compensation, harmonics mitigation, reactive power compensation, and voltage and frequency regulation are observed. More importantly, in the proposed control, the step size parameter, which governs the convergence speed, is independent from the covariance and means of input signal, unlike other stochastic‐based algorithms where the step size parameter is fully dependent on the statistics of the input signal. As a result, the theoretical and practical evaluation shows that the QNLMF control method enjoys an independent performance from the eigenvalue spread of input signal. The proposed control is more suitable for the adopted system because of its fast and accurate dynamic response in uncertain conditions such as wind speed variations. The control is implemented on three‐phase four‐wire system, and performances are found satisfactory under steady state and dynamic state as per IEEE‐519‐2014 standards.