A Nonlinear Programming Approach to Demand Responses Using Polynomial Performance Indexes

In this paper, demand response problems are discussed based on mixed integer nonlinear programming. The considered demand response problems are defined as multi objective nonlinear optimization problems with integer variables to minimize the power demand and maximize the utility performance indices which are described as polynomials. By considering the polynomial performance indices, the optimization problems with integer variables are reduced to nonlinear programming with no integer variables.