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Published in: International Journal of Energy and Environmental Engineering 4/2021

11-06-2021 | Original Research

Multi-objective optimal power flow using a new heuristic optimization algorithm with the incorporation of renewable energy sources

Authors: Nagarajan Karthik, Ayalur Krishnamoorthy Parvathy, Rajagopalan Arul, K. Padmanathan

Published in: International Journal of Energy and Environmental Engineering | Issue 4/2021

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Abstract

The current research study proposes a multi-objective optimal power flow (OPF) solution using a modified Interior Search Algorithm in which Levy Flight feature with two different strategies is incorporated to accelerate the convergence speed and to enhance solution quality. In traditional OPF problems, the thermal generation units alone are accounted, whereas the security challenges faced by the network are mostly ignored. In other terms, the emission needs to be significantly reduced in terms of environmental sustainability aspects. So, the electrical grid must be infused with power generated from different renewable energy sources. Consequently, the current research article proposes an approach in order to accomplish OPF through a combination of stochastic wind and solar power coupled with traditional thermal power generators in the system. The authors leveraged modified IEEE 30-bus system, IEEE 118-bus system and real-time electrical network 62-bus Indian Utility System in order to validate the Levy Interior Search Algorithm proposed in the study by incorporating renewable energy sources. During implementation, the researchers considered different factors such as network security limitations, for instance transmission line capacity, bus voltage limits and restricted operation zones for thermal units. The simulation results obtained using the proposed LISA Strategy-II algorithm are compared with the results obtained using LISA Strategy-I, ISA and other optimization algorithms reported in the literature. The results achieved from the implementation infer that the proposed method has inherently good convergence characteristic and affords better exploration of the Pareto front.

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Literature
1.
go back to reference Mojica-Nava, E., Rivera, S., Quijano, N.: Game-theoretic dispatch control in microgrids considering network losses and renewable distributed energy resources integration. IET Gener. Transm. Distrib. 11(6), 1583–1590 (2017)CrossRef Mojica-Nava, E., Rivera, S., Quijano, N.: Game-theoretic dispatch control in microgrids considering network losses and renewable distributed energy resources integration. IET Gener. Transm. Distrib. 11(6), 1583–1590 (2017)CrossRef
2.
go back to reference Lu, X., Liu, N., Chen, Q., Zhang, J.: Multi-objective optimal scheduling of a DC micro-grid consisted of PV system and EV charging station. In: 2014 IEEE Innovative Smart Grid Technologies—Asia (ISGT ASIA), Kuala Lumpur, Malaysia, 20–23 May, (2014) Lu, X., Liu, N., Chen, Q., Zhang, J.: Multi-objective optimal scheduling of a DC micro-grid consisted of PV system and EV charging station. In: 2014 IEEE Innovative Smart Grid Technologies—Asia (ISGT ASIA), Kuala Lumpur, Malaysia, 20–23 May, (2014)
3.
go back to reference Frank, S., Rebennack, S.: An introduction to optimal power flow: theory formulation, and examples. IIE Trans. 48(12), 1172–1197 (2016)CrossRef Frank, S., Rebennack, S.: An introduction to optimal power flow: theory formulation, and examples. IIE Trans. 48(12), 1172–1197 (2016)CrossRef
4.
go back to reference Abdi, H.: Soheil Derafshi Beigvand, Massimo La Scala, A review of optimal power flow studies applied to smart grids and microgrids. Renew. Sustain. Energy Rev. 71(1), 742–766 (2017)CrossRef Abdi, H.: Soheil Derafshi Beigvand, Massimo La Scala, A review of optimal power flow studies applied to smart grids and microgrids. Renew. Sustain. Energy Rev. 71(1), 742–766 (2017)CrossRef
8.
go back to reference Arul, R., Ravi, G., Velusami, S.: Solving optimal power flow problems using chaotic self-adaptive differential harmony search algorithm. Electr. Power Compon. Syst. 48, 782–805 (2013)CrossRef Arul, R., Ravi, G., Velusami, S.: Solving optimal power flow problems using chaotic self-adaptive differential harmony search algorithm. Electr. Power Compon. Syst. 48, 782–805 (2013)CrossRef
9.
go back to reference Biswas, P.P., Suganthan, P.N., Mallipeddi, R., Amaratunga, G.A.J.: Multi-objective optimal power flow solutions using a constraint handling technique of evolutionary algorithms. Soft Comput 24, 2999–3023 (2020)CrossRef Biswas, P.P., Suganthan, P.N., Mallipeddi, R., Amaratunga, G.A.J.: Multi-objective optimal power flow solutions using a constraint handling technique of evolutionary algorithms. Soft Comput 24, 2999–3023 (2020)CrossRef
10.
go back to reference Bai, W., Ekeb, I., Lee, K.Y.: An improved artificial bee colony optimization algorithm based on orthogonal learning for optimal power flow problem. Control. Eng. Pract. 61, 163–172 (2017)CrossRef Bai, W., Ekeb, I., Lee, K.Y.: An improved artificial bee colony optimization algorithm based on orthogonal learning for optimal power flow problem. Control. Eng. Pract. 61, 163–172 (2017)CrossRef
11.
go back to reference Hmida, J.B., Chambers, T., Lee, J.: Solving constrained optimal power flow with renewables using hybrid modified imperialist competitive algorithm and sequential quadratic programming. Electr. Power Syst. Res. 177, 105989 (2019)CrossRef Hmida, J.B., Chambers, T., Lee, J.: Solving constrained optimal power flow with renewables using hybrid modified imperialist competitive algorithm and sequential quadratic programming. Electr. Power Syst. Res. 177, 105989 (2019)CrossRef
13.
go back to reference Chen, G., Qian, J., Zhang, Z., Li, S.: Application of modified pigeon-inspired optimization algorithm and constraint-objective sorting rule on multi-objective optimal power flow problem. Appl. Soft Comput. J. 92, 106321 (2020)CrossRef Chen, G., Qian, J., Zhang, Z., Li, S.: Application of modified pigeon-inspired optimization algorithm and constraint-objective sorting rule on multi-objective optimal power flow problem. Appl. Soft Comput. J. 92, 106321 (2020)CrossRef
14.
go back to reference Panda, A., Mishra, U., Tseng, M.-L., Ali, M.H.: Hybrid power systems with emission minimization: multi-objective optimal operation. J. Clean. Prod. 268, 121418 (2020)CrossRef Panda, A., Mishra, U., Tseng, M.-L., Ali, M.H.: Hybrid power systems with emission minimization: multi-objective optimal operation. J. Clean. Prod. 268, 121418 (2020)CrossRef
15.
go back to reference Hu, F., Hughes, K.J., Ma, L., Pourkashanian, M.: Combined economic and emission dispatch considering conventional and wind power generating units. Int. Trans. Electr. Energy Syst. 27(12), etep.2424 (2017)CrossRef Hu, F., Hughes, K.J., Ma, L., Pourkashanian, M.: Combined economic and emission dispatch considering conventional and wind power generating units. Int. Trans. Electr. Energy Syst. 27(12), etep.2424 (2017)CrossRef
16.
go back to reference Naidji, M., Boudour, M.: Stochastic multi-objective optimal reactive power dispatch considering load and renewable energy sources uncertainties: a case study of the Adrar isolated power system. Int. Trans. Electr. Energy Syst. 30(6), e12374 (2020)CrossRef Naidji, M., Boudour, M.: Stochastic multi-objective optimal reactive power dispatch considering load and renewable energy sources uncertainties: a case study of the Adrar isolated power system. Int. Trans. Electr. Energy Syst. 30(6), e12374 (2020)CrossRef
17.
go back to reference Sharifzadeh, H., Amjady, N.: Stochastic security-constrained optimal power flow incorporating preventive and corrective actions. Int. Trans. Electr. Energy Syst. 26(11), 2207 (2016)CrossRef Sharifzadeh, H., Amjady, N.: Stochastic security-constrained optimal power flow incorporating preventive and corrective actions. Int. Trans. Electr. Energy Syst. 26(11), 2207 (2016)CrossRef
18.
go back to reference Taher, M.A., Kamel, S., Jurado, F., Ebeed, M.: An improved moth‐flame optimization algorithm for solving optimal power flow problem. Int. Trans. Electr. Energy Syst. 29(3), e2743 (2018) Taher, M.A., Kamel, S., Jurado, F., Ebeed, M.: An improved moth‐flame optimization algorithm for solving optimal power flow problem. Int. Trans. Electr. Energy Syst. 29(3), e2743 (2018)
19.
go back to reference Li, S., Gong, W., Wang, L., Yan, X., Hu, C.: Optimal power flow by means of improved adaptive differential evolution. Energy 198(1), 117314 (2020) Li, S., Gong, W., Wang, L., Yan, X., Hu, C.: Optimal power flow by means of improved adaptive differential evolution. Energy 198(1), 117314 (2020)
20.
go back to reference Kahourzade, S., Mahmoudi, A., Mokhlis, H.B.: A comparative study of multi-objective optimal power flow based on particle swarm, evolutionary programming, and genetic algorithm. Electr. Eng. 97, 1–12 (2015)CrossRef Kahourzade, S., Mahmoudi, A., Mokhlis, H.B.: A comparative study of multi-objective optimal power flow based on particle swarm, evolutionary programming, and genetic algorithm. Electr. Eng. 97, 1–12 (2015)CrossRef
21.
go back to reference Ye, C.-J., Huang, M.-X.: Multi-objective optimal power flow considering transient stability based on parallel NSGA-II. IEEE Trans. Power Syst. 30(2), 857–866 (2015)CrossRef Ye, C.-J., Huang, M.-X.: Multi-objective optimal power flow considering transient stability based on parallel NSGA-II. IEEE Trans. Power Syst. 30(2), 857–866 (2015)CrossRef
22.
go back to reference Gandomi, A.H.: Interior search algorithm (ISA): a novel approach for global optimization. ISA Trans. 53(4), 1168–1183 (2014) Gandomi, A.H.: Interior search algorithm (ISA): a novel approach for global optimization. ISA Trans. 53(4), 1168–1183 (2014)
23.
go back to reference Karthik, N., Parvathy, A.K., Arul, R.: Multi-objective economic emission dispatch using interior search algorithm. Int. Trans. Electr. Energy Syst. 29, e2683 (2019)CrossRef Karthik, N., Parvathy, A.K., Arul, R.: Multi-objective economic emission dispatch using interior search algorithm. Int. Trans. Electr. Energy Syst. 29, e2683 (2019)CrossRef
24.
go back to reference Karthik, N., Parvathy, A.K., Arul, R., Padmanathan, K.: Economic load dispatch in a microgrid using interior search algorithm. In: International Conference on Power and advanced computing, i-PACT 2019 (2019) Karthik, N., Parvathy, A.K., Arul, R., Padmanathan, K.: Economic load dispatch in a microgrid using interior search algorithm. In: International Conference on Power and advanced computing, i-PACT 2019 (2019)
25.
go back to reference Biswas, P.P., Suganthan, P.N., Amaratunga, G.A.J.: Optimal power flow solutions incorporating stochastic wind and solar power. Energy Convers. Manag. 148(1), 1194–1207 (2017)CrossRef Biswas, P.P., Suganthan, P.N., Amaratunga, G.A.J.: Optimal power flow solutions incorporating stochastic wind and solar power. Energy Convers. Manag. 148(1), 1194–1207 (2017)CrossRef
26.
go back to reference Abdullah, M., Javaid, N., Khan, I.U., Khan, Z.A., Chand, A., Ahmad, N.: Optimal power flow with uncertain renewable energy sources using flower pollination algorithm. In: Advances in Intelligent Systems and Computing, pp. 95–107 (2020) Abdullah, M., Javaid, N., Khan, I.U., Khan, Z.A., Chand, A., Ahmad, N.: Optimal power flow with uncertain renewable energy sources using flower pollination algorithm. In: Advances in Intelligent Systems and Computing, pp. 95–107 (2020)
27.
go back to reference Abdullah, M., Javaid, N., Chand, A., Khan, Z.A., Waqas, M., Abbas, Z.: Multi-objective optimal power flow using improved multi-objective multi-verse algorithm. In: Advances in Intelligent Systems and Computing, pp. 1071–1093 (2019) Abdullah, M., Javaid, N., Chand, A., Khan, Z.A., Waqas, M., Abbas, Z.: Multi-objective optimal power flow using improved multi-objective multi-verse algorithm. In: Advances in Intelligent Systems and Computing, pp. 1071–1093 (2019)
28.
go back to reference Biswas, P.P., Suganthan, P.N., Qu, B.Y., Amaratunga, G.A.J.: Multiobjective economic-environmental power dispatch with stochastic wind-solar small hydro power. Energy 150(1), 1039–1057 (2018)CrossRef Biswas, P.P., Suganthan, P.N., Qu, B.Y., Amaratunga, G.A.J.: Multiobjective economic-environmental power dispatch with stochastic wind-solar small hydro power. Energy 150(1), 1039–1057 (2018)CrossRef
29.
go back to reference Chang, T.P.: Investigation on frequency distribution of global radiation using dierent probability density functions. Int. J. Appl. Sci. Eng. 8(2), 99–107 (2010) Chang, T.P.: Investigation on frequency distribution of global radiation using dierent probability density functions. Int. J. Appl. Sci. Eng. 8(2), 99–107 (2010)
30.
go back to reference Surender, R.S., Bijwe, P.R., Abhyankar, A.R.: Real-time economic dispatch considering renewable power generation variability and uncertainty over scheduling period. IEEE Syst. J. 9(4), 1440–1451 (2014)CrossRef Surender, R.S., Bijwe, P.R., Abhyankar, A.R.: Real-time economic dispatch considering renewable power generation variability and uncertainty over scheduling period. IEEE Syst. J. 9(4), 1440–1451 (2014)CrossRef
31.
go back to reference Never, M.: Flood frequency analysis using the Gumbel distribution. Int. J. Comput. Sci. Eng. 3(7), 2774e8 (2011) Never, M.: Flood frequency analysis using the Gumbel distribution. Int. J. Comput. Sci. Eng. 3(7), 2774e8 (2011)
32.
go back to reference Pieter, C.: River flow prediction through rainfall runoff modelling with a probability-distributed model (PDM) in Flanders, Belgium. Agric. Water Manag. 95(7), 859e68 (2008) Pieter, C.: River flow prediction through rainfall runoff modelling with a probability-distributed model (PDM) in Flanders, Belgium. Agric. Water Manag. 95(7), 859e68 (2008)
33.
go back to reference Gnanadass, R., Padhy, N.P., Manivannan, K.: Assessment of available transfer capability for practical power systems with combined economic emission dispatch. Electr. Power Syst. Res. 69, 267–276 (2004)CrossRef Gnanadass, R., Padhy, N.P., Manivannan, K.: Assessment of available transfer capability for practical power systems with combined economic emission dispatch. Electr. Power Syst. Res. 69, 267–276 (2004)CrossRef
34.
go back to reference Yang, X.-S.: Engineering optimization an introduction with metaheuristic applications, 1st edn. Wiley, New Jersey (2010)CrossRef Yang, X.-S.: Engineering optimization an introduction with metaheuristic applications, 1st edn. Wiley, New Jersey (2010)CrossRef
36.
go back to reference Duman, S., Rivera, S., Li, J., Wu, L.: Optimal power flow of power systems with controllable wind-photovoltaic energy systems via differential evolutionary particle swarm optimization. Int. Trans. Electr. Energy Syst. 30, e12270 (2019) Duman, S., Rivera, S., Li, J., Wu, L.: Optimal power flow of power systems with controllable wind-photovoltaic energy systems via differential evolutionary particle swarm optimization. Int. Trans. Electr. Energy Syst. 30, e12270 (2019)
37.
go back to reference Yao, F., Dong, Z.Y., Meng, K., Xu, Z., Iu, H.H.C., Wong, K.P.: Quantum-inspired particle swarm optimization for power system operations considering wind power uncertainty and carbon tax in Australia. IEEE Trans. Ind. Inf. 8(4), 880–888 (2012)CrossRef Yao, F., Dong, Z.Y., Meng, K., Xu, Z., Iu, H.H.C., Wong, K.P.: Quantum-inspired particle swarm optimization for power system operations considering wind power uncertainty and carbon tax in Australia. IEEE Trans. Ind. Inf. 8(4), 880–888 (2012)CrossRef
38.
go back to reference Man-Im, A., Ongsakul, W., Singh, J.G., Nimal Madhu, M.: Multi-objective optimal power flow considering wind power cost functions using enhanced PSO with chaotic mutation and stochastic weights. Electr. Eng. 101(1), 699–718 (2019)CrossRef Man-Im, A., Ongsakul, W., Singh, J.G., Nimal Madhu, M.: Multi-objective optimal power flow considering wind power cost functions using enhanced PSO with chaotic mutation and stochastic weights. Electr. Eng. 101(1), 699–718 (2019)CrossRef
39.
go back to reference Yang, X.-S., Deb, S.: Multi-objective cuckoo search for design optimization. Comput. Oper. Res. 40(6), 1616–1624 (2013)MathSciNetCrossRef Yang, X.-S., Deb, S.: Multi-objective cuckoo search for design optimization. Comput. Oper. Res. 40(6), 1616–1624 (2013)MathSciNetCrossRef
41.
go back to reference Zimmerman, R.D., Murillo Sanchez, C.E., Thomas, R.J.: MATPOWER: Steady-State operations, planning, and analysis tools for power systems research and education, power systems. IEEE Trans. Power Syst. 26(1), 12–19 (2011)CrossRef Zimmerman, R.D., Murillo Sanchez, C.E., Thomas, R.J.: MATPOWER: Steady-State operations, planning, and analysis tools for power systems research and education, power systems. IEEE Trans. Power Syst. 26(1), 12–19 (2011)CrossRef
44.
go back to reference Hakli, H., Uguz, H.: A novel particle swarm optimization algorithm with Levy flight. Appl. Soft Comput. 23(1), 333–345 (2014)CrossRef Hakli, H., Uguz, H.: A novel particle swarm optimization algorithm with Levy flight. Appl. Soft Comput. 23(1), 333–345 (2014)CrossRef
45.
go back to reference Chechkin, A.V., Metzler, R., Klafter, J., Gonchar, V.Y.: Introduction to the theory of levy flights. In: Klages, R., Radons, G., Sokolov, I.M. (eds.) Anomalous Transport: Foundations and Applications, pp. 129–162. Wiley, London (2008)CrossRef Chechkin, A.V., Metzler, R., Klafter, J., Gonchar, V.Y.: Introduction to the theory of levy flights. In: Klages, R., Radons, G., Sokolov, I.M. (eds.) Anomalous Transport: Foundations and Applications, pp. 129–162. Wiley, London (2008)CrossRef
Metadata
Title
Multi-objective optimal power flow using a new heuristic optimization algorithm with the incorporation of renewable energy sources
Authors
Nagarajan Karthik
Ayalur Krishnamoorthy Parvathy
Rajagopalan Arul
K. Padmanathan
Publication date
11-06-2021
Publisher
Springer Berlin Heidelberg
Published in
International Journal of Energy and Environmental Engineering / Issue 4/2021
Print ISSN: 2008-9163
Electronic ISSN: 2251-6832
DOI
https://doi.org/10.1007/s40095-021-00397-x

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