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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

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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.

References

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      • 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
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      • N.A. Bjärsten . The static converter as a high speed power amplifier. Direct Current , 154 - 165
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      • F. Fallside , C.J. Goodman , R.D. Jackson . Stability of first-order sampling and thyristor systems. Electron. Lett. , 566 - 567
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      • 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.
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