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

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

For access to this article, please select a purchase option:

Buy article PDF
(plus tax if applicable)
Buy Knowledge Pack
10 articles for $120.00
(plus taxes if applicable)

IET members benefit from discounts to all IET publications and free access to E&T Magazine. If you are an IET member, log in to your account and the discounts will automatically be applied.

Learn more about IET membership 

Recommend Title Publication to library

You must fill out fields marked with: *

Librarian details
Your details
Why are you recommending this title?
Select reason:
Proceedings of the Institution of Electrical Engineers — Recommend this title to your library

Thank you

Your recommendation has been sent to your librarian.

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.


    1. 1)
      • P.A. Hazell , J.O. Flower . Stability properties of certain thyristor-bridge control systems. Pt. 1—The thyristor bridge as a discrete control system. Proc. IEE , 7 , 1405 - 1412
    2. 2)
      • N.A. Bjärsten . The static converter as a high speed power amplifier. Direct Current , 154 - 165
    3. 3)
      • F. Fallside , C.J. Goodman , R.D. Jackson . Stability of first-order sampling and thyristor systems. Electron. Lett. , 566 - 567
    4. 4)
      • F. Fallside , A.R. Farmer . Ripple instability in closed-loop control systems with thyristor amplifiers. Proc. IEE , 1 , 139 - 152
    5. 5)
      • Kalman, R.E.: `Non-linear aspects of sampled-data control systems', Proceedings of the symposium on nonlinear circuit analysis, 1956, Polytechnic Institute of Brooklyn, , p. 273–311.

Related content

This is a required field
Please enter a valid email address