OPTIMAL VOLTAGE CONTROL OF NON-STATIONARY EDDY CURRENT PROBLEMS

被引：4

作者：

Troeltzsch, Fredi ^{[1
]}

Valli, Alberto ^{[2
]}

机构：

[1] Tech Univ Berlin, Inst Math, D-10623 Berlin, Germany

[2] Univ Trento, Dipartimento Matemat, I-38123 Trento, Italy

来源：

MATHEMATICAL CONTROL AND RELATED FIELDS | 2018年 / 8卷 / 01期

关键词：

Time-dependent electromagnetism; controlled voltage excitation; optimal control; adjoint calculus; finite element method; BOUNDARY OPTIMAL-CONTROL; CURRENT EQUATIONS; FORMULATION; SYSTEM;

D O I：

10.3934/mcrf.2018002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A mathematical model is set up that can be useful for controlled voltage excitation in time-dependent electromagnetism. The well-posedness of the model is proved and an associated optimal control problem is investigated. Here, the control function is a transient voltage and the aim of the control is the best approximation of desired electric and magnetic fields in suitable L-2 - norms. Special emphasis is laid on an adjoint calculus for first-order necessary optimality conditions. Moreover, a peculiar attention is devoted to propose a formulation for which the computational complexity of the finite element solution method is substantially reduced.

引用

页码：35 / 56

页数：22

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