A problem of economic optimization of electric equipment design

This paper deals with the mathematical analysis of a technical-economic problem of equipment design in which parameter optimization is required to ensure the minimum cost of construction and operation. The analysis presented is general; it covers any type of problem that can be characterized by means of a multivariable nonlinear function with positive coefficients. A theorem on an extremum of a function of this type is proved, and a method for finding the optimum parameters is described. The proof ensures determination of the absolute optimum for the problem, and the proposed calculation method reduces the required digital computer time.