Determination of Available Transfer Capability Using Continuation Power Flow with Fuzzy Set Theory

In trying to determine available transfer capability (ATC) considering uncertainty, this paper demonstrates an algorithm of fuzzy set theory to continuation power flow (CPF). For the calculation ATC using the fuzzy continuation power flow (FCPF), this paper assumes that the uncertainties of involved in ATC calculation can be estimated or measured. Regarding the major uncertain factors affecting the ATC value, a fuzzy model is formulated in which the availability of uncertain parameters is considered as fuzzy variables following a possibility distribution. The motivation in this paper is to develop a FCPF algorithm that can handle simultaneous uncertainties in the load parameters and bus injections. We demonstrated the efficiency of the proposed method by comparison with values obtained from conventional continuation power flow (CPF) and the probabilistic power flow (PPF) for the IEEE-24 bus reliability test system (RTS).