A Parametric Equations Approach to the Economic Dispatch Problem

A method for establishing a minimum of a particular type of function which is constrained has been explored. The method named by the authors, A Parametric Equations Method, will obtain an extremum of a convex function, subject to constraints which may consist of both inequalities and equalities. Necessary mathematical proofs are given and the method is applied to two problems. In particular, the application of the method to the problem of economic dispatch has shown it to have certain advantages over the usual well-known methods.