Solving ODE for Optimization

Vincent Fischer () and Laurent Gerbaud
Additional contact information
Vincent Fischer: ENSIEG, Laboratoire d’Electrotechnique de Grenoble (INPG / UJF — CNRS . UMR 5529)
Laurent Gerbaud: ENSIEG, Laboratoire d’Electrotechnique de Grenoble (INPG / UJF — CNRS . UMR 5529)

A chapter in Optimization and Inverse Problems in Electromagnetism, 2003, pp 71-78 from Springer

Abstract: Abstract The paper deals with the sizing of some electrical devices, mainly electrical circuits, using optimization under constraints. More accurately, gradient optimization algorithms are considered. So, the derivatives of the outputs of the sizing model according to its inputs have to be valued. In electrical devices, some sizing criteria may require the solving of ordinary differential equation (ODE). E.g, this may concerns maximum values, r.m.s. values, values of some variables at a specific date, etc. Several methods may be used to solve such ODE : symbolic, numerical or a mix of them. In the specific case of systems modelled by linear state equations — e.g. electrical circuits- an approach based on matrix exponential is proposed to solve corresponding ODEs. After a presentation of the interests of the proposed approach compared to simulation in the field of gradient optimization, the paper presents the ODE solving and the chosen matrix exponential methods. Finally, the method is applied on some electrical circuits.

Keywords: ODE; matrix exponential; optimization (search for similar items in EconPapers)
Date: 2003
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-017-2494-4_8

Ordering information: This item can be ordered from
http://www.springer.com/9789401724944

DOI: 10.1007/978-94-017-2494-4_8

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().