Multi-scenario passive filter planning in factory distribution system by using Markov model and probabilistic Sugeno fuzzy reasoning

•The time-varying and non-stationary problem is transformed to be a multi-scenario.•The optimization computation which is free of probabilities can be simplified.•Both probability and duration are considered in the probabilistic Sugeno fuzzy reasoning.

Power quality may degrade owing to increasing harmonics from nonlinear loads in a power system. Harmonics are time-varying and non-stationary power quality problems in the power system. This article addresses that the passive filter planning considers multiple scenarios, including different load levels and harmonic currents in a factory distribution system. Based on the above factors and use of the Markov model, this work attempts to gain multiple scenarios, each with its own probability and duration. A novel method based on probabilistic Sugeno fuzzy reasoning is also developed by using individual optimal solutions of all scenarios. Moreover, the final optimal solution is obtained using the center-of-gravity approach. The proposed method is validated using simulation results of a 2-busbar factory distribution system and an 18-busbar factory distribution system.

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