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Realistic feedback control of turbogenerators

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In this paper, the optimal control of a turboalternator connected to an infinite bus is considered. The alternator is controlled through a linear feedback of the state variables. The feedback parameters are obtained by solving a two-point nonlinear boundary-value problem. The values obtained for these parameters depend on the strength and duration of the disturbance, since the model is nonlinear, contrary to the usual feedback control of a linear model. In contrast to the model used in Ref. 1, the model used here include the transfer functions of the governor, the turbine, and the voltage regulator.

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References

  1. Shamaly, A., et al.,A Functional Analysis Approach to Feedback Control of Turbo-Alternators, Proceedings of the IEEE International Symposium on Circuits and Systems, Houston, Texas, 1980.

  2. Shamaly, A., et al.,Optimal Control of a Large Turboalternator, Journal of Optimization Theory and Applications, Vol. 34, pp. 83–97, 1981.

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  3. Shamaly, A., et al.,A Transformation for Necessary Optimality Conditions for Systems with Polynomial Nonlinearities, IEEE Transactions, Vol. AC-24, pp. 983–984, 1979.

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  4. Shamaly, A., et al.,Application of the Riccati Equation to Finding Initial Values in Ill-Conditioned Systems, Proceedings of the Linear Systems Conference, Naval Postgraduate School, Monterey, California, 1979.

  5. Iyer, S. N., andCory, B. J.,Optimal Control of a Turbo-Generator Including an Exciter and Governor, IEEE Transactions, Vol. PAS-90, pp. 2149–2159, 1971.

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Communicated by C. T. Leondes

This work was supported in part by the National Research Council of Canada, Grant No. A-4146.

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Shamaly, A., Christensen, G.S. & El-Hawary, M.E. Realistic feedback control of turbogenerators. J Optim Theory Appl 35, 251–259 (1981). https://doi.org/10.1007/BF00934579

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