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Energies 2017, 10(9), 1440; doi:10.3390/en10091440

Application of Dynamic Non-Linear Programming Technique to Non-Convex Short-Term Hydrothermal Scheduling Problem

1
Smart Energy Systems Laboratory, Faculty of Electrical and Computer Engineering, University of Tabriz, Tabriz 51666-15813, Iran
2
Department of Architectural Engineering, Pennsylvania State University, 104 Engineering Unit A, University Park, PA 16802, USA
*
Author to whom correspondence should be addressed.
Academic Editor: Ånund Killingtveit
Received: 22 August 2017 / Revised: 7 September 2017 / Accepted: 16 September 2017 / Published: 19 September 2017
(This article belongs to the Special Issue Hydropower 2017)
View Full-Text   |   Download PDF [852 KB, uploaded 19 September 2017]   |  

Abstract

Short-term hydro-thermal scheduling aims to obtain optimal generation scheduling of hydro and thermal units for a one-day or a one-week scheduling time horizon. The main goal of the problem is to minimize total operational cost considering a series of equality and inequality constraints. The problem is considered as a non-linear and complex problem involving the valve-point loading effect of conventional thermal units, the water transport delay between connected reservoirs, and transmission loss with a set of equality and inequality constraints such as power balance, water dynamic balance, water discharge, initial and end reservoir storage volume, reservoir volume limits and the operation limits of hydro and thermal plants. A solution methodology to the short-term hydro-thermal scheduling problem with continuous and non-smooth/non-convex cost function is introduced in this research applying dynamic non-linear programming. In this study, the proposed approach is applied to two test systems with different characteristics. The simulation results obtained in this paper are compared with those reported in recent research studies, which show the effectiveness of the presented technique in terms of total operational cost. In addition, the obtained results ensure the capability of the proposed optimization procedure for solving short-term hydro-thermal scheduling problem with transmission losses and valve-point effects. View Full-Text
Keywords: dynamic non-linear programming; non-smooth/non-convex optimization problem; short term hydro-thermal scheduling; transmission losses; valve point loading effect dynamic non-linear programming; non-smooth/non-convex optimization problem; short term hydro-thermal scheduling; transmission losses; valve point loading effect
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Hoseynpour, O.; Mohammadi-ivatloo, B.; Nazari-Heris, M.; Asadi, S. Application of Dynamic Non-Linear Programming Technique to Non-Convex Short-Term Hydrothermal Scheduling Problem. Energies 2017, 10, 1440.

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