Methodical Regulations for Identifying the Set of Pareto Optimal Alternatives for Autonomous Power-Supply Systems

Abstract

The use of Pareto optimization for autonomous power supply systems is proposed as a method of distinguishing a set of dominant solutions. The fields of application of such approach are considered. A mathematical treatment of a search for the set of alternatives based on the preference and ordering relation is presented. Processing of information is based on the known rules of the logical induction, and the logical formulas act as a finished product. The predicate calculus is recommended applying as a mathematical base. The concept of one system dominating over another is defined on the basis of the binary relation approach. An algorithm for obtaining a set of dominant solutions is developed. The drawbacks inherent in this approach are noted.