Abstract
Economic Dispatch (ED) is one of the major concerns for the efficient and economical operation of the modern power system. Actual ED problem is non-convex in nature due to Ramp Rate Limits (RRL), Valve-Point Loading Effects (VPLE), and Prohibited Operating Zones (POZs). It is generally converted into a convex problem as mathematical programming based approaches cannot handle the non-convex cost functions except dynamic programming, which also suffers from the curse of dimensionality. Heuristic techniques are potential solution methodologies for solving the non-convex ED problem. Artificial Algae Algorithm (AAA), a recent meta-heuristic optimization approach showed remarkable results on certain MATLAB benchmark functions but its application on industrial problem such as ED is yet to be explored. In this paper, AAA is used to investigate convex and non-convex ED problem due to valve-point effects and POZs while considering the transmission losses. The robustness and effectiveness of the proposed approach are validated by implementing it on IEEE standard test systems (3, 6, 13 and 40 unit Test Systems), which are widely addressed in the literature. The simulation results are promising when compared with other well-known evolutionary algorithms, showing the potential and stability of this algorithm.
Highlights
Electrical Power Systems assume a key role in a country’s economy
This convex and differentiable formulation of Economic Dispatch (ED) can be solved with much ease, it is impractical because the presence of real-world constraints such as Prohibited Operating Zones (POZs), ramp rate limits, and valve point effects make the objective function non-convex, non-smooth and non-differentiable
In order to assess the performance of Algae Algorithm (AAA) for solving the Economic Load Dispatch (ELD) problem, it is implemented on 5 IEEE standard test systems and the results are analyzed
Summary
Electrical Power Systems assume a key role in a country’s economy. Efficient and optimum operational planning is necessary to cope with the limited energy resources, increased fuel-cost, and ever-growing energy demand. Various classical and numerical optimization techniques have been widely used in literature to solve the convex ED problem such as lambda iteration [3], LaGrange relaxation [4], quadratic programming [5], interior point technique [6], linear programming and dynamic programming [1] This convex and differentiable formulation of ED can be solved with much ease, it is impractical because the presence of real-world constraints such as Prohibited Operating Zones (POZs), ramp rate limits, and valve point effects make the objective function non-convex, non-smooth and non-differentiable. A pressurevessel design problem, which is among the extensively addressed optimization problems, was utilized as a sample real-world design problem to verify the effectiveness of the algorithm Results obtained from these case studies suggest that AAA is a stable approach having balanced local and global search qualifications. Mehran University Research Journal of Engineering and Technology, Vol 39, No 3, July 2020 [p-ISSN: 0254-7821, e-ISSN: 2413-7219]
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