Solution of load-flow problem using fuzzy linear regression approach

This paper presents a new approach to solve the load-flow problem using Tanaka's Fuzzy Linear Regression formulation (FLR). The load-flow model is formulated as a fuzzy linear optimization problem, where the objective is to minimize the sum of the spread of the states, subject to double inequality constraints on each pre-specified active and reactive power to guarantee that the original membership is included in the state membership. Linear programming is employed to obtain the middle and the symmetric spread for every state variable. The estimated middle corresponds to the value of the state. While the symmetric spreads in the membership functions of the state variables represents the uncertainty (vagueness) around the state. The proposed formulation has been applied to various test systems. The outcome is very encouraging and proves that proposed (FLR) is very applicable and shows reliability, accuracy in solving the power-flow problem.