DC power flow using fuzzy linear equations

This paper presents the application of a fuzzy DC power flow for electrical networks. The proposed methodology can be used in power system planning and day-ahead energy market. The uncertain variables in the DC power flow, renewable energy-based power generation, load and network parameters, are modeled as triangulate fuzzy variables with a center as well as an upper and lower bounds. The proposed method has the advantage of using upper and lower bounds to represent uncertainty instead of using probability distribution functions which is not easy to determine for all random variable. The method is tested on the 5-bus, IEEE 14-bus and 118-bus power systems with wind generators connected to the network. The execution times of the proposed method are obtained and compared with the Monte-Carlo simulation (MCS) method.