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Application of Modified Subgradient Algorithm Based on Feasible Values to Security Constrained Non-Convex Economic Dispatch Problems with Prohibited Zones and Ramp Rates

Fadıl Salih, Urazel Burak, and Tamyürek Bünyamin
Department of Electrical and Electronics Engineering, Eskisehir Osmangazi University, 26480 Eskisehir, Turkey
Abstract—A security constrained non-convex power dispatch problem with prohibited operation zones and ramp rates is formulated and solved using an iterative solution method based on the modified subgradient algorithm operating on feasible values (F-MSG). Since the cost function, all equality and inequality constraints in the nonlinear optimization model are written in terms of the bus voltage magnitudes, the phase angles, the off-nominal tap settings, and the susceptance values of static-var (SVAR) systems, they can be taken as independent variables. The actual power system loss is included in the solution since the load flow equations are inserted into the model as the equality constraints. The proposed technique is tested on the IEEE 30-bus, 140 generator and 40 generator test systems and compared against the other methods based on heuristic and deterministic algorithms. The significant saving in the solution time is due to the elimination of the power flow calculations from the method except at the initial step.
 
Index Terms—economic power dispatch, F-MSG algorithm, non-convex fuel cost rate curves, prohibited operation zones, ramp rates, security constraints

Cite: Fadıl Salih, Urazel Burak, and Tamyürek Bünyamin, "Application of Modified Subgradient Algorithm Based on Feasible Values to Security Constrained Non-Convex Economic Dispatch Problems with Prohibited Zones and Ramp Rates," International Journal of Electronics and Electrical Engineering, Vol. 4, No. 1, pp. 1-8, February 2016. doi: 10.18178/ijeee.4.1.1-8
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