International Journal of Allied Research in Engineering and Technology (IJARET)

SOLVING THE ECONOMIC DISPATCH PROBLEM OF A TWO-AREA POWER SYSTEM CONSIDERING TRANSMISSION CONSTRAINT USING SEMI-DEFINITE PROGRAMMING

Authors

  • Ogunfowora A. R. Department of Electrical and Electronics Engineering, College of Engineering, Lagos State University of Science and Technology, Ikorodu, Nigeria
  • Sadiq A. I. Department of Electrical and Electronics Engineering, College of Engineering, Lagos State University of Science and Technology, Ikorodu, Nigeria
  • Dawodu M. O. Department of Electrical and Electronics Engineering, College of Engineering, Lagos State University of Science and Technology, Ikorodu, Nigeria
  • Balogun M. O Department of Electrical and Electronics Engineering, College of Engineering, Lagos State University of Science and Technology, Ikorodu, Nigeria
  • Amusa K. A Department of Electrical and Electronics Engineering, College of Engineering, Federal University of Agriculture, Abeokuta, Nigeria
  • Kadiri I. O Department of Mechatronics Engineering, College of Engineering, Lagos State University of Science and Technology, Ikorodu, Nigeria
  • Hassan S.A Lagos State Traffic Management Authority

Abstract

This paper presents a method of semi-definite programming approach to solving the economic load dispatch problem in two areas of an electrical power system where tie transmission line capacity is considered as the constraint. The algorithm was developed with some equality and inequality constraints without difficulty for complex cost functions. The simulation was performed in MATLAB environment at four different loads 800, 950, 1030, and 1130 MW. From the results, it is found that the semi-definite programming approach yields a higherquality solution with better computation efficiency and stable convergence characteristics when compared with the results obtained when the direct search method and enhanced direct search method are used. In addition, it uses some iterations and converges faster. Thus, the semi-definite programming approach gives the best result in terms of total cost minimization (reduced fuel cost and power loss) when compared with other methods referenced in this work

Author Biographies

Ogunfowora A. R., Department of Electrical and Electronics Engineering, College of Engineering, Lagos State University of Science and Technology, Ikorodu, Nigeria

received the OND, B.Sc., and M.Eng. degree in Electrical Electronics Engineering, from Lagos State Polytechnic, Lagos; Obafemi Awolowo University, Ile Ife, and Federal University of Agriculture, Abeokuta, all inNigeria, in 2007, 2012, and 2023, respectively. His major field of study is Communications Engineering and Digital Signal Processing. His current research interests include signal processing, telecommunication engineering, and power system engineering.

Sadiq A. I., Department of Electrical and Electronics Engineering, College of Engineering, Lagos State University of Science and Technology, Ikorodu, Nigeria

received the HND, PGD and M.Eng degree in Electrical Engineering, from the Kaduna Polytechnic, Kaduna and Bayero University Kano, all in Nigeria, in 1996, 2001, and 2007, respectively. His major field of study is Power System Engineering and renewable energy. He has published few papers on Power system analysis, Power electronics and renewable energy. His current research interests include applications of power electronics components and principle of PV system installation s and Sizing. He can be contacted at email: iskeel1@gmail.com

Dawodu M. O., Department of Electrical and Electronics Engineering, College of Engineering, Lagos State University of Science and Technology, Ikorodu, Nigeria

has a background in electrical engineering and has worked as a subject teacher and instructor at various institutions. He earned Post-Graduate Diploma in Heavy Current Option at Ladoke Akintola University of Technology (LAUTECH), Higher National Diploma from Yaba College of Technology, and his National Diploma from Lagos State Polytechnic. He is currently at the concluding segment of his M.Tech Program in Power System Engineering at Lautech. Presently, he is Assistant chief technologist at Lagos State University of science and Technology, Ikorodu. His research interests are renewable energy and power system engineering. Email: oladipupo_musiliu@yahoo.com

Balogun M. O, Department of Electrical and Electronics Engineering, College of Engineering, Lagos State University of Science and Technology, Ikorodu, Nigeria

received the B.Eng. in Electrical Electronics Engineering from the Kwara State University, Molete, Kwara State. He received his HND and ND from Yaba College of Technology, Lagos. His interests are in telecommunications engineering, control and instrumentation engineering, and renewable energy. E-mail: balogun.m@lasustech.edu.ng ; aukanlarwon@gmail.com

Amusa K. A, Department of Electrical and Electronics Engineering, College of Engineering, Federal University of Agriculture, Abeokuta, Nigeria

received the B.Eng., M.Sc. and Ph.D. degrees in Electrical Electronics Engineering, from the University of Ilorin, Ilorin; University of Lagos, Lagos and Federal University of Agriculture, Abeokuta, all in Nigeria, in 1999, 2011, and 2017, respectively. His major field of study is Communications Engineering and Digital Signal Processing. He has published few papers on Signal Processing, Antennas and Communications. His current research interests include applications of electromagnetic principles, signal processing, antennas and radio-wave propagation. He can be contacted at email: amusaka@funaab.edu.ng

Kadiri I. O, Department of Mechatronics Engineering, College of Engineering, Lagos State University of Science and Technology, Ikorodu, Nigeria

received ND, HND, BEng., and M.Sc. in Electrical Electronics Engineering and Mechatronics Engineering from Lagos State Polytechnic, Bells University of Technology OTA and University of Gloucestershire England, UK respectively. He is a technologist at Mechatronics Engineering Department, Lagos State University of Science and Technology Ikorodu campus. He has published few papers on microcontrollers, done projects on 3D-printing, programmable logic controllers and IoT’s. He can be contacted at email: kadiri.i@lasustech.edu.ng ; olanrewajukad37@gmail.com

Hassan S.A, Lagos State Traffic Management Authority

received the B.Tech. and M.Sc. degrees in Physics Electronics from the Federal University of Technology, Akure, and the University of Lagos, Lagos State, Nigeria, in 2007 and 2021, respectively. His major field of study is electronics and physics. He has developed practical skills in troubleshooting and repairing electronic devices, designing and constructing electronic projects, and programming microcontrollers using tools like MikroBasic Pro and Proteus. His current research interests include alternative ways of generating clean electricity and affordable ways of purifying water at home. Email: ayoelect4all@gmail.com

Keywords:

Economic load dispatch problem, cost minimization, power system, semi-definite programming, direct search method, enhanced direct search method

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Published

2024-05-20

DOI:

https://doi.org/10.5281/zenodo.11220277

Issue

Vol. 15 No. 5 (2024): May

Section

Articles

How to Cite

Ogunfowora , A. R., Sadiq , A. I., Dawodu , M. O., Balogun , M. O., Amusa , K. A., Kadiri , I. . O., & Hassan , S. (2024). SOLVING THE ECONOMIC DISPATCH PROBLEM OF A TWO-AREA POWER SYSTEM CONSIDERING TRANSMISSION CONSTRAINT USING SEMI-DEFINITE PROGRAMMING. International Journal of Allied Research in Engineering and Technology (IJARET), 15(5), 1–10. https://doi.org/10.5281/zenodo.11220277

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Copyright (c) 2024 Ogunfowora A. R., Sadiq A. I., Dawodu M. O., Balogun M. O, Amusa K. A, Kadiri I. O, Hassan S.A

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

References

M. Zarei, A. Roozegar, R. Kazezadeh, and J. M. Kauffman, “Two Area Power Systems Economic Dispatch

Problem Solving Considering Transmission Capacity Constraints,” Int. J. Electr. Electron. Eng., vol. 1,

no. 3, 2007.

R. Behera, B. B. Pati, and B. P. Panigrahi, “Economic Power Dispatch using Artificial Immune System,” in 16th

National Power Systems Conference, National Power Systems, 2010, pp. 664–668.

P. Nema and S. Gajbhiye, “Application of artificial intelligence technique to economic load dispatch of thermal

power generation unit,” Int. J. Energy Power Eng., vol. 3, no. 6–2, pp. 15–20, 2014, doi:

11648/j.ijepe.s.2014030602.13.

A. Nor Rul Hasma et al., “Solving economic dispatch (ED) problem using artificial immune system, evolutionary

programming and particle swarm optimization,” ARPN J. Eng. Appl. Sci., vol. 11, no. 10, pp. 6663–6667,

N. R. H. Abdullah, I. Musirin, and M. M. Othman, “Computational Intelligence Technique for Solving Power

Scheduling Optimization Problem,” in Conference, IEEE, 2010. doi: 10.1109/PEOCO.2010.5559233.

A. M. Jubril, O. A. Olaniyan, O. A. Komolafe, and P. O. Ogunbona, “Economic-emission dispatch problem : A

semi-definite programming approach,” J. Elsevier (Applied Energy), vol. 134, pp. 446–455, 2014, doi:

1016/j.apenergy.2014.08.024.

A. B. Ogundare, J. B. Oyetola, O. S. Omogoye, M. Ihiovi, and A. R. Ogunfowora, “Economic Load Dispatch

Problem Using Semidifinite Programming Approach,” Int. J. Recent Innov. Trend Technol., vol. 3, no. 8,

F. M. Robert, Introduction to Semidefinite Programming ( SDP ). Massachusetts Institute of Teechnology, 2004.

K. S. Alli and H. A. Latchman, “Methods of Solving Multi-Area Economic Dispatch Problems- A Survey and

Proposed Candidate SDP Approach,” in The International of Solving Multi-Area Economic Dispatch

Problems-A Survey and Proposed Candidate SDP Approach (IConETech-2020), 2020, pp. 598–608.

A. S. Alayande, J. T. Olowolaju, and I. K. Okakwu, “SOLVING OPTIMAL GENERATION DISPATCH

PROBLEM IN POWER NETWORKS THROUGH PSO AND LAMBDA ITERATION

TECHNIQUES,” Niger. J. Technol., vol. 38, no. 1, pp. 165–176, 2019, doi:

dx.doi.org/10.4314/njt.v38i1.21.

A. Al-Subhi, “Dynamic Economic Load Dispatch Using Linear Programming and Mathematical-Based Models,”

Dyn. Econ. Load Dispatch Using Linear Program. Math. Model., vol. 9, no. 3, pp. 606–614, 2022, doi:

18280/mmep.090307.

S. Kumar, V. Kumar, N. Katal, S. K. Singh, S. Sharma, and P. Singh, “Multiarea Economic Dispatch Using

Evolutionary Algorithms,” Math. Probl. Eng., vol. 2021, pp. 1–14, 2021, doi: 10.1155/2021/3577087.

R. Habachi, A. Touil, A. Boulal, A. Charkaoui, and A. Echchatbi, “Economic and emission dispatch using cuckoo

search algorithm,” Int. J. Electr. Comput. Eng., vol. 9, no. 5, pp. 3384–3390, 2019, doi:

11591/ijece.v9i5.pp3384-3390.

K. Sarker, B. Roy, J. Sarker, and D. Santra, “A solution procedure to the economic load dispatch problem through

the gravitational search technique,” Int. J. Eng. Sci. Technol., vol. 11, no. 1, pp. 10–21, 2018, doi:

4314/ijest.v11i1.2.

R. M. Freund, Introduction to Semidefinite Programming (SDP). 2004. [Online]. Available: http://60-199-198-

static.tfn.net.tw/cocw/mit/NR/rdonlyres/Sloan-School-of-Management/15-

JSpring2004/30872F3D-A64E-4230-BA0A-E391EC2A3CDB/0/lec23_semidef_opt.pdf

K. Alli, A. M. Jubril, and L. O. Kehinde, “Development of a Semi-definite Programming Weighted Sum Based

Approach for Solving Stochastic Multi-objective Economic Dispatch Problems Incorporating CHP

Units,” IAENG Int. J. Comput. Sci., vol. 44, no. 4, pp. 1–12, 2017.