Analysis of Type-2 Fuzzy IλDμ-P Controller for LFC with Communication Delay

Uncertainties associated with the modern power system (PS) due to fluctuating load demand as well as the intermittent nature of renewable sources require formidable control requirements. Type-2 fuzzy (T2F) controllers with their extra-dimensional membership function are better suited to handle these uncertainties to provide frequency regulation of multi-area PSs. Combined with the benefits of fractional calculus, T2F can be further enhanced. In this work, a novel T2F fractional-order-integral-derivative plus proportional (T2FI^λD^μ-P) controller is suggested for the load frequency control of a two-area deregulated PS having multiple generating units including renewables. The considered PS has thermal, gas and distributed renewable sources such as the solar photovoltaic (PV) and wind turbine generation as the generating units. The suggested T2FI^λD^μ-P controller is optimally tuned with the equilibrium optimizer. The investigated PS is applied with step interference to analyze the performance of the suggested control scheme in comparison to other prevalent controllers and optimization algorithms. A bode-instituted stability investigation is presented for the controlled system.