SLIME MOULD ALGORITHM FOR PRACTICAL OPTIMAL POWER FLOW SOLUTIONS INCORPORATING STOCHASTIC WIND POWER AND STATIC VAR COMPENSATOR DEVICE

Authors

DOI:

https://doi.org/10.20998/2074-272X.2020.6.07

Keywords:

optimal power flow, slime mould algorithm, stochastic wind power generation, static VAR compensators

Abstract

Purpose. This paper proposes the application procedure of a new metaheuristic technique in a practical electrical power system to solve optimal power flow problems, this technique namely the slime mould algorithm (SMA) which is inspired by the swarming behavior and morphology of slime mould in nature. This study aims to test and verify the effectiveness of the proposed algorithm to get good solutions for optimal power flow problems by incorporating stochastic wind power generation and static VAR compensators devices. In this context, different cases are considered in order to minimize the total generation cost, reduction of active power losses as well as improving voltage profile. Methodology. The objective function of our problem is considered to be the minimum the total costs of conventional power generation and stochastic wind power generation with satisfying the power system constraints. The stochastic wind power function considers the penalty cost due to the underestimation and the reserve cost due to the overestimation of available wind power. In this work, the function of Weibull probability density is used to model and characterize the distributions of wind speed. Practical value. The proposed algorithm was examined on the IEEE-30 bus system and a large Algerian electrical test system with 114 buses. In the cases with the objective is to minimize the conventional power generation, the achieved results in both of the testing power systems showed that the slime mould algorithm performs better than other existing optimization techniques. Additionally, the achieved results with incorporating the wind power and static VAR compensator devices illustrate the effectiveness and performances of the proposed algorithm compared to the ant lion optimizer algorithm in terms of convergence to the global optimal solution.

Author Biographies

Ramzi Kouadri, Université Ferhat Abbas Sétif 1

Department of Electrical Engineering

Linda Slimani, Université Ferhat Abbas Sétif 1

Department of Electrical Engineering

Tarek Bouktir, Université Ferhat Abbas Sétif 1

Department of Electrical Engineering

References

Bhatia S.C. Energy resources and their utilization. Advanced Renewable Energy Systems, pp. 1–31, 2014. doi: 10.1016/B978-1-78242-269-3.50001-2.

Talari S., Shafie-khah M., Osório G.J., Aghaei J., Catalão J.P.S. Stochastic modelling of renewable energy sources from operators' point-of-view: A survey. Renewable and Sustainable Energy Reviews, 2018, vol. 81, part 2, pp. 1953-1965. doi: 10.1016/j.rser.2017.06.006.

Roy R., Jadhav H.T. Optimal power flow solution of power system incorporating stochastic wind power using Gbest guided artificial bee colony algorithm. International Journal of Electrical Power & Energy Systems, 2015, vol. 64, pp. 562-578. doi: 10.1016/j.ijepes.2014.07.010.

Elattar E.E. Optimal Power Flow of a Power System Incorporating Stochastic Wind Power Based on Modified Moth Swarm Algorithm. IEEE Access, 2019, vol. 7, pp. 89581-89593. doi: 10.1109/ACCESS.2019.2927193.

Biswas P.P., Suganthan P.N., Amaratunga G.A.J. Optimal power flow solutions incorporating stochastic wind and solar power. Energy Conversion and Management, 2017, vol. 148, pp. 1194-1207. doi: 10.1016/j.enconman.2017.06.071.

Panda A., Tripathy M. Security constrained optimal power flow solution of wind-thermal generation system using modified bacteria foraging algorithm. Energy, 2015, vol. 93, pp. 816-827. doi: 10.1016/j.energy.2015.09.083.

Ahmad M., Javaid N., Niaz I.A., Shafiq S., Rehman O.U., Hussain H.M. Application of bird swarm algorithm for solution of optimal power flow problems. 12-th International Conference on Complex, Intelligent, and Software Intensive Systems (CISIS-2018). Advances in Intelligent Systems and Computing, vol 772, pp. 280-291. Springer, Cham. doi: 10.1007/978-3-319-93659-8_25.

Duman S., Li J., Wu L., Guvenc U. Optimal power flow with stochastic wind power and FACTS devices: a modified hybrid PSOGSA with chaotic maps approach. Neural Computing and Applications, 2019, vol. 32, no. 12, pp. 8463-8492. doi: 10.1007/s00521-019-04338-y.

El-Fergany A.A., Hasanien H.M. Salp swarm optimizer to solve optimal power flow comprising voltage stability analysis. Neural Computing and Applications, 2019, vol. 32, no. 9, pp. 5267-5283. doi: 10.1007/s00521-019-04029-8.

Mohamed A.-A.A., Mohamed Y.S., El-Gaafary A.A., Hemeida A.M. Optimal power flow using moth swarm algorithm. Electric Power Systems Research, 2017, vol. 142, pp. 190-206. doi: 10.1016/j.epsr.2016.09.025.

Biswas P.P., Suganthan P.N., Mallipeddi R., Amaratunga G.A.J. Optimal power flow solutions using differential evolution algorithm integrated with effective constraint handling techniques. Engineering Applications of Artificial Intelligence, 2018, vol. 68, pp. 81-100. doi: 10.1016/j.engappai.2017.10.019.

Surender Reddy S., Srinivasa Rathnam C. Optimal Power Flow using Glowworm Swarm Optimization,” International Journal of Electrical Power & Energy Systems, 2016, vol. 80, pp. 128-139. doi: 10.1016/j.ijepes.2016.01.036.

Abaci K., Yamacli V. Differential search algorithm for solving multi-objective optimal power flow problem. International Journal of Electrical Power & Energy Systems, 2016, vol. 79, pp. 1-10. doi: 10.1016/j.ijepes.2015.12.021.

Trivedi I.N., Jangir P., Parmar S.A., Jangir N. Optimal power flow with voltage stability improvement and loss reduction in power system using Moth-Flame Optimizer. Neural Computing and Applications, 2016, vol. 30, no. 6, pp. 1889-1904. doi: 10.1007/s00521-016-2794-6.

Pulluri H., Naresh R., Sharma V. A solution network based on stud krill herd algorithm for optimal power flow problems. Soft Computing, 2016, vol. 22, no. 1, pp. 159-176. doi: 10.1007/s00500-016-2319-3.

Jadon S.S., Bansal J.C., Tiwari R., Sharma H. Artificial bee colony algorithm with global and local neighborhoods. International Journal of System Assurance Engineering and Management, 2014, vol. 9, no. 3, pp. 589-601. doi: 10.1007/s13198-014-0286-6.

Duman S. Symbiotic organisms search algorithm for optimal power flow problem based on valve-point effect and prohibited zones. Neural Computing and Applications, 2016, vol. 28, no. 11, pp. 3571-3585. doi: 10.1007/s00521-016-2265-0.

Bouchekara H.R.E.H., Chaib A.E., Abido M.A., El-Sehiemy R.A. Optimal power flow using an Improved Colliding Bodies Optimization algorithm. Applied Soft Computing, 2016, vol. 42, pp. 119-131. doi: 10.1016/j.asoc.2016.01.041.

Hariharan T., Sundaram K.M. Optimal Power Flow Using Firefly Algorithm with Unified Power Flow Controller. Circuits and Systems, 2016, vol. 07, no. 08, pp. 1934-1942. doi: 10.4236/cs.2016.78168.

Bouchekara H.R.E.H. Optimal power flow using black-hole-based optimization approach. Applied Soft Computing, 2014, vol. 24, pp. 879-888. doi: 10.1016/j.asoc.2014.08.056.

Bouchekara H.R.E.H., Abido M.A., Chaib A.E., Mehasni R. Optimal power flow using the league championship algorithm: A case study of the Algerian power system. Energy Conversion and Management, 2014, vol. 87, pp. 58-70. doi: 10.1016/j.enconman.2014.06.088.

Mohan T.M., Nireekshana T. A Genetic algorithm for solving optimal power flow problem. Procedings 2019 3rd International conference on Electronics, Communication and Aerospace Technology (ICECA), 2019, pp. 1438-1440. doi: 10.1109/ICECA.2019.8822090.

Bentouati B., Chettih S., Jangir P., Trivedi I.N. A solution to the optimal power flow using multi-verse optimizer. Journal of Electrical Systems, 2016, vol. 12, no. 4, pp. 716-733,.

Ren P., Li N. Optimal power flow solution using the Harmony search algorithm. Applied Mechanics and Materials, 2014, vol. 599-601, pp. 1938-1941. doi: 10.4028/www.scientific.net/AMM.599-601.1938.

Ghosh I., Roy P.K. Application of earthworm optimization algorithm for solution of optimal power flow. 2019 International Conference on Opto-Electronics and Applied Optics (Optronix), 2019, vol. 1, no. 1, pp. 1-6. doi: 10.1109/OPTRONIX.2019.8862335.

Hetzer J., Yu D.C., Bhattarai K. An Economic Dispatch Model Incorporating Wind Power. IEEE Transactions on Energy Conversion, 2008, vol. 23, no. 2, pp. 603-611. doi: 10.1109/tec.2007.914171.

Makhloufi S., Mekhaldi A., Teguar M. Three powerful nature-inspired algorithms to optimize power flow in Algeria’s Adrar power system. Energy, 2016, vol. 116, pp. 1117-1130. doi: 10.1016/j.energy.2016.10.064.

Panda A., Tripathy M. Optimal power flow solution of wind integrated power system using modified bacteria foraging algorithm. International Journal of Electrical Power & Energy Systems, 2014, vol. 54, pp. 306-314. doi: 10.1016/j.ijepes.2013.07.018.

Teeparthi K., Vinod Kumar D.M. Multi-objective hybrid PSO-APO algorithm based security constrained optimal power flow with wind and thermal generators. Engineering Science and Technology, an International Journal, 2017, vol. 20, no. 2, pp. 411-426. doi: 10.1016/j.jestch.2017.03.002.

Li S., Chen H., Wang M., Heidari A.A., Mirjalili S. Slime mould algorithm: A new method for stochastic optimization. Future Generation Computer Systems, 2020, vol. 111, pp. 300-323. doi: 10.1016/j.future.2020.03.055.

Kouadri R., Slimani L., Bouktir T., Musirin I. Optimal Power Flow Solution for Wind Integrated Power in presence of VSC-HVDC Using Ant Lion Optimization. Indonesian Journal of Electrical Engineering and Computer Science, 2018, vol. 12, no. 2, p. 625. doi: 10.11591/ijeecs.v12.i2.pp625-633.

Attia A.-F., El Sehiemy R.A., Hasanien H.M. Optimal power flow solution in power systems using a novel Sine-Cosine algorithm. International Journal of Electrical Power & Energy Systems, 2018, vol. 99, pp. 331-343. doi: 10.1016/j.ijepes.2018.01.024.

Haddi S., Bouketir O., Bouktir T. Improved Optimal Power Flow for a Power System Incorporating Wind Power Generation by Using Grey Wolf Optimizer Algorithm. Advances in Electrical and Electronic Engineering, 2018, vol. 16, no. 4, pp. 471-488. doi: 10.15598/aeee.v16i4.2883.

Slimani L., Bouktir T. Optimal Power Flow Solution of the Algerian Electrical Network using Differential Evolution Algorithm. TELKOMNIKA (Telecommunication Computing Electronics and Control), 2012, vol. 10, no. 2, p. 199. doi: 10.12928/telkomnika.v10i2.778.

Kouadri R., Musirin I., Slimani L., Bouktir T. OPF for large scale power system using ant lion optimization: a case study of the Algerian electrical network. IAES International Journal of Artificial Intelligence (IJ-AI), 2020, vol. 9, no. 2, p. 252. doi: 10.11591/ijai.v9.i2.pp252-260.

Mahdad B., Srairi K. Solving practical economic dispatch using hybrid GA–DE–PS method. International Journal of System Assurance Engineering and Management, 2013, vol. 5, no. 3, pp. 391-398. doi: 10.1007/s13198-013-0180-7.

Herbadji O., Slimani L., Bouktir T. Optimal power flow with four conflicting objective functions using multiobjective ant lion algorithm: A case study of the algerian electrical network. Iranian Journal of Electrical and Electronic Engineering, 2019, vol. 15, no. 1, pp. 94-113. doi: 10.22068/IJEEE.15.1.94.

Derai A., Diaf A.K.S. Etude de faisabilité technico-économique de fermes éoliennes en Algérie. Rev. des Energies Renouvelables, 2017, vol. 20, no. 4, pp. 693-712. (Fra).

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Published

2020-12-13

How to Cite

Kouadri, R., Slimani, L., & Bouktir, T. (2020). SLIME MOULD ALGORITHM FOR PRACTICAL OPTIMAL POWER FLOW SOLUTIONS INCORPORATING STOCHASTIC WIND POWER AND STATIC VAR COMPENSATOR DEVICE. Electrical Engineering & Electromechanics, (6), 45–54. https://doi.org/10.20998/2074-272X.2020.6.07

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Section

Power Stations, Grids and Systems