Boundary load flow solutions

The load flow is one of the most fundamental tools used in power system analysis. The need for a load flow approach, which would incorporate uncertainty into the solution process, has been long recognized. The boundary load flow finds solutions given uncertain nodal powers. Here, a new concept for finding accurate boundary load flow solutions given fuzzy/interval numbers is presented. Extending an idea from probabilistic load flow, an optimization procedure for implicitly defined functions is introduced. Test systems are used for performance evaluation and comparison between the new method and extant methods that give approximate solutions.