Nonlinear analysis of a 1st-order thyristor-bridge control system. Use of difference equations and transition mapping

Author

Flower, J.O. ; Hazell, P.A.

Author_Institution

University of Sussex, Inter-University Institute of Engineering Control, School of Applied Sciences, Brighton, UK

Volume

118

Issue

10

fYear

1971

fDate

10/1/1971 12:00:00 AM

Firstpage

1511

Lastpage

1516

Abstract

By considering the solution of the differential equation governing the current delivered, via a thyristor bridge, to a series R-L load, an exact nonlinear difference equation relating the current at consecutive firing instants is established. The behaviour of the system, both statically and dynamically, is thereby examined and use is made of transition-mapping concepts. Perturbational analysis is performed to linearise the equation and it is demonstrated that the system can be considered as a discrete controller with proportional and derivative control having a varying time constant. Computer simulation and experimental results are presented as evidence of the validity of the developed models.

Keywords

control system analysis; difference equations; nonlinear systems; thyristors; computer simulation; control system; current at consecutive firing instants; discrete controller; exact nonlinear difference equation; experimental results; models; nonlinear analysis; perturbational analysis; proportional and derivative control; thyristor bridge; transition mapping concepts; varying time constant;

fLanguage

English

Journal_Title

Electrical Engineers, Proceedings of the Institution of

Publisher

iet

ISSN

0020-3270

Type

jour

DOI

10.1049/piee.1971.0277

Filename

5250652