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RA 123 s: Three metaphor-less Algorithms for Economic Load Dispatch Solution

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Abstract

This paper presents Rao-1, Rao-2 and Rao-3 algorithms (RA-123) approach to elucidate Economic Load Dispatch (ELD) problem which has Ramp Rate (RRL), Valve Point Effect (VPE), Prohibited Zones of Operation (POZ), and losses of lines. Besides most of the algorithms which depend on algorithmic-specific parameters, the proposed algorithm is independent of algorithmic-specific parameters. The principle contribution of this paper is to minimize the total generation cost by satisfying several constraints such as generation limits, load demand, valve point loading effect, and transmission losses considering metaphor-less algorithms (RA-123). The objective with VPE is considered to improve the performance of ELD. This paper determines the performance of proposed RA-123 algorithms considering different constraints on each test case system and compares them. To explore, ability of proposed optimization algorithms, these are implemented on test networks having 6, 40 and 110 unit systems and outcomes are compared with results attained by prior optimization algorithms. The evaluation of results shows ability and efficacy of (RA-123) for solving ELD problem.

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Abbreviations

FC:

Fuel cost

CCC:

Cost convergence curve

FCC:

Fuel Cost Curve

\(F_{c}\) :

Total Generation ($/hr)

aj, Bj, cj:

FC coefficients

\(P_{j}\) :

Total power of generator j,

N:

Number of generators

djej :

Valve point coefficients

\(P_{j}^{\min }\) :

\(P_{j}^{\max }\)Max and min capacity of jth unit

\(P_{d}\) :

System demand

\(P_{loss}\) :

Transmission losses

Bjk, Bjo, Boo :

Loss coefficients

\(P_{j}^{\min }\) :

\(P_{j}^{\max }\)Upper and lower boundaries of POZs for every unit

\(n_{pz}\) :

Number of POZs

\(P_{io}\) :

Power output of previous hour

\(DR_{j} ,UR_{{}}\) :

Down and upper ramp limits of jth unit (MW/h)

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Authors and Affiliations

  1. Dept. of Electrical and Electronic Engineering, Aditya College of Engineering, Surampalem, India

    Ravindra Manam

  2. Dept. of Electrical and Electronic Engineering, Vasireddy Venkatadri Institute of Technology, Numbur, Guntur, India

    Ravindra Sangu

  3. Dept. of Electrical and Electronic Engineering, Vignan’s Foundation for Science, Technology & Research, Guntur, India

    Lakshminarayana Pamidi

  4. Dept. of Electrical and Electronic Engineering, Aditya College of Engineering, Surampalem, India

    Manoz Kumar Reddy Karri

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  1. Ravindra Manam
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  4. Manoz Kumar Reddy Karri
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Manam, R., Sangu, R., Pamidi, L. et al. RA 123 s: Three metaphor-less Algorithms for Economic Load Dispatch Solution. J. Electr. Eng. Technol. 17, 835–845 (2022). https://doi.org/10.1007/s42835-021-00922-2

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