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TECHNICAL PAPERS

Adaptive Optimal Control of a Grid-Independent Photovoltaic System

[+] Author and Article Information
Gregor P. Henze

Architectural Engineering, University of Nebraska–Lincoln, 1110 South 67th St., Peter Kiewit Institute 203D, Omaha, Nebraska 68182-0681e-mail: ghenze@unl.edu

Robert H. Dodier

Civil, Environmental, and Architecural Engineering, University of Colorado at Boulder, Campus Box 428, Boulder, CO 80309-428e-mail: dodier@colorado.edu

J. Sol. Energy Eng 125(1), 34-42 (Jan 27, 2003) (9 pages) doi:10.1115/1.1532005 History: Received April 01, 2002; Revised August 01, 2002; Online January 27, 2003
Copyright © 2003 by ASME
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References

Watkins,  C., and Dayan,  P., 1992, “Q-Learning,” Machine Learning, 8, pp. 279–292.
Gullapalli,  V., 1990, “A Stochastic Reinforcement Learning Algorithm for Learning Real-Valued Functions,” Neural Networks, 3, pp. 671–692.
Sutton, R. S., and Barto, A. G., 1998, Reinforcement Learning: An Introduction. MIT Press, Cambridge, MA.
Bellman, Richard E., 1957, Dynamic Programming, Princeton Univ. Press, Princeton, NJ.
Bertsekas, D. P., and Tsitsiklis, J. N., 1996, Neuro-Dynamic Programming, Athena Scientific, Belmont, MA.
Cybenko, G., Gray, R., and Moizumi, K., 1995, “Q-Learning: A Tutorial and Extensions,” Mathematics of Artificial Neural Networks, Oxford Univ. England, July 1995.
Sheppard, M., Oswald, A., Valenzuela, C., Sullivan, G., and Sotudeh, R., 1993, “Reinforcement Learning in Control,” 9th Int. Conf. on Mathematical and Computer Modeling, Berkeley, CA, July 1993.
Cardinale, J., 1994, “Model of RMSE Photovoltaic Design,” Report, Univ. of Colorado at Boulder, Joint Center for Energy Management.

Figures

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PV array with battery and load in parallel
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Electrical load profile
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Illustration of Bellman’s principle of optimality
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Annual profile of global horizontal radiation for Albuquerque, New Mexico
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Power output of the PV array
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Annual profile of state-of-charge for PV-priority and optimal control strategies
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Profile of state-of-charge for PV-priority and optimal control strategies for three-week period in February and March
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Profile of state-of-charge for PV-priority and optimal control strategies for one-week period in February for various exploration levels
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Load versus supplied power
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State-of-charge as a function of control strategy
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Value of low state-of-charge and collector output

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