Optimal hydrothermal load flow: Formulation and a successive approximation solution for fixed head systems. (English) Zbl 0598.93025
This paper deals with the optimal load flow problem in a fixed-head hydrothermal electric power system. Equality constraints on the volume of water available for active power generation at the hydro plants as well as inequality constraints on the reactive power generation at the voltage controlled buses are imposed. Conditions for optimal load flow are derived and a successive approximation algorithm for solving the optimal generation schedule is developed. Computer implementation of the algorithm is discussed, and the results obtained from the computer solution of test systems are presented.
MSC:
| 93C15 | Control/observation systems governed by ordinary differential equations |
| 49M05 | Numerical methods based on necessary conditions |
| 90B10 | Deterministic network models in operations research |
| 49K15 | Optimality conditions for problems involving ordinary differential equations |
| 65K10 | Numerical optimization and variational techniques |
| 93B40 | Computational methods in systems theory (MSC2010) |
| 94C05 | Analytic circuit theory |
Keywords:
optimal load flow problem; fixed-head hydrothermal electric power system; successive approximation algorithm; optimal generation scheduleReferences:
| [1] | Chandler, AIEEE Trans. 72 pp 1057– (1953) |
| [2] | Ramamoorty, Proc. IEE 117 pp 794– (1970) |
| [3] | El-Hawary, J. Optimizat. Theory Appl. 12 pp 576– (1973) |
| [4] | and , Optimal Economic Operation of Electric Power Systems. Academic Press, New York, 1979. |
| [5] | Dommel, IEEE Trans. Power Appar. Syst. PAS-87 pp 1866– (1968) |
| [6] | Brown, SIAM J. Numerical Analysis 6 pp 560– (1969) |
| [7] | and , Computer Methods in Power System Analysis, McGraw Hill Book Co., New York, 1968. |
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