Sensitivity methods for economic dispatch of hydroelectric plants
- 1 July 1965
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 10 (3) , 315-322
- https://doi.org/10.1109/tac.1965.1098162
Abstract
Sensitivity methods of mathematical programming may be used for controlling a constrained sample-data process. This paper develops a controller for the economical dispatch of a group of hydroelectric power plants. The power plant and transmission system models are described, including the constraining relationships such as maximum and minimum plant ratings. A brief description of the gradient method employed for determining optimum schedules is offered, as well as a description of the technique for generating the matrix of feedback coefficients for the system state variables. The condition of indeterminacy (degeneracy) is described and discussed. Numerical examples of control simulation are offered.Keywords
This publication has 8 references indexed in Scilit:
- OPTIMAL PROGRAMMING PROBLEMS WITH INEQUALITY CONSTRAINTSAIAA Journal, 1963
- On Sensitivity Analysis in Convex Quadratic Programming ProblemsOperations Research, 1963
- Susquehanna River Short-Range Hydrothermal Co-ordinationIEEE Transactions on Power Apparatus and Systems, 1963
- Notes on Quadratic Programming: The Kuhn-Tucker and Theil-Van De Panne Conditions, Degeneracy, and Equality ConstraintsManagement Science, 1961
- The Analysis of Hydroelectric-Power Peaking and Poundage by ComputerTransactions of the American Institute of Electrical Engineers. Part III: Power Apparatus and Systems, 1960
- Control system analysis and design via the second method of lyapunov: (I) continuous-time systems (II) discrete time systemsIRE Transactions on Automatic Control, 1959
- Tie-Line Power and Frequency Control of Electric Power Systems - Part II [includes discussion]Transactions of the American Institute of Electrical Engineers. Part III: Power Apparatus and Systems, 1954
- On methods for obtaining solutions of fixed end-point problems in the calculus of variationsJournal of Research of the National Bureau of Standards, 1953