Authors: V.Yu. Karandey, B.K. Popov, O.B. Popova, V.L. Afanasiev

Title of the article: Application of the geometric programming method to study the optimal parameters of special electric drives

Year: 2022, Issue: 5, Pages: 36-45

Branch of knowledge: 09.05.03 Electrotechnical complexes and systems

Index UDK: 621.31, 621.313.33

DOI: 10.26730/1816-4528-2022-5-36-45

Abstract: The article presents an evaluation of optimization methods for studying the optimal geometry and characteristics of special electric drives. Test examples of solved problems with the help of some optimization methods are shown. To solve the tasks set, we consider optimal the method of geometric programming, which is a special case of nonlinear programming. The dual function is estimated for any choice of object optimization. The solution of the general problem of mathematical programming is given. An assessment of the use of optimal planning for the study of special electric drives is given. A solution is given under the orthogonality conditions, which must satisfy the normalization condition. The use of posinomials for determining the optimal values of the parameters of special electric drives is shown. The application of the geometric programming method for solving the problem of minimizing posinomials makes it possible to determine the optimal values of the parameters of special electric drives. The application of geometric inequalities in solving the problem of optimizing special electric drives is shown. Geometric inequalities for solving the optimization problem are used to find lower bounds for posinomials. The problems of applying the approximate definition of the minimum are considered. The study of these problems using geometric programming shows the advantages of using a dual program to solve an optimization problem.

Key words: special electric drive controlled asynchronous cascade electric drive optimization methods parameter optimization energy conversion mathematical modeling electromagnetic field electromagnetic system

Receiving date: 25.05.2022

Approval date: 01.10.2022

Publication date: 14.10.2022

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