A Novel Interval Programming Method and Its Application in Power System Optimization Considering Uncertainties in Load Demands and Renewable Power Generation

This paper expresses the output power of renewable generators and load demand as interval data develops economic dispatch (IED), well reactive optimization (IRPO) models. The two models are generalized into a specific type linear programming (LIP) nonlinear (NLIP), respectively. A security limits method (SLM) is proposed to solve LIP NLIP problems. As for LIP, maximum radii variables first calculated by optimizing-scenarios (OSM) defining limits, transformed deterministic (LP), which its constraints can be solved simplex method. NLIP, Monte Carlo simulations were used obtain variables, average ratio defined compute transforming (NLP), using interior point Finally, IED IRPO verify effectiveness engineering SLM.