Abstract
Voltage stability primarily depends on the voltage magnitude, phase angle, real and reactive power constraint of the electric power system. Even during emergencies like contingency (outages), the stability of the electric power structure will be enhanced by improving the Loadability Limit (LL) of the transmission sector. Flexibility in the real and reactive power flow in the transmission system is achieved by the Flexible AC Transmission System (FACTS) devices. These devices can be placed anywhere in the transmission sector. To get effective control over the power flow through the transmission lines and to achieve the maximum loadability with the minimal installation cost, optimal choice and placement of FACTS devices are essential. In this manuscript, efforts had been taken to analyze the LL with outages for hybrid electric power structures. The proposed method is simulated and tested with the hybrid version of standard IEEE 30 bus system. Three types of FACTS devices like Thyristor Controlled Series Capacitor (TCSC), Static VAr Compensator (SVC) and Unified Power Flow Controller (UPFC) are efficiently selected and placed in the transmission lines. For the optimal positioning and placement of these devices, the Contingency Severity Index (CSI) and Fast Voltage Stability Index (FVSI) have been used. Differential Evolution (DE) and Modified Differential Evolution (MDE) algorithms are applied to optimize the obtained results. DE is an evolutionary search based soft computing algorithm popularly handed to resolve multifarious problems. MDE is the enhanced version of DE that embraces a prior knowledge about the solution space at every stage of the search. The main focus of this work is (i) to identify the weak branches and buses in the system using CSI and FVSI. (ii) to optimize the number, location and settings of FACTS devices using various soft computing techniques like DE and MDE. (iii) to evaluate ML of a transmission system with FACTS devices under normal and contingency conditions using DE and MDE. (iv) to calculate the cost required for the installation of FACTS devices. (v) to enhance ML of pool and hybrid model of deregulated electric power market with contingency using the optimal number, rating and positioning of FACTS devices.
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14 July 2022
This article has been retracted. Please see the Retraction Notice for more detail: https://doi.org/10.1007/s12652-022-04326-6
References
Ahmed Esmin A, Stan Matwin A (2013) A hybrid particle swarm optimization algorithm with genetic mutation. Int J Innov Comput Inf Control 9(5):1919–1934
Amgad A, Hosam Youssef KM, El-Metwally MM, Osman Z (2009) Maximum loadability of power systems using HPSO. Electr Power Syst Res 76(1):485–492
Amroune M, Bourzami A, Bouktir T (2013) Voltage stability limit enhancement using thyristor controlled series capacitor. Int J Comput Appl 72(20):46–50
Bhaskaraiah T, Umamaheswara Reddy T (2013) Power system stability enhancement using Static Synchronous Series Compensator. Int J Electr Electron Eng Telecoms 2(1):77–85
Bhattacharyya B, Gupta VK, Kumar S (2014) Reactive power optimization with SVC and TCSC using genetic algorithm. Adv Power Eng Electr Eng 12(1):1–12
Bhesdadiya RH, Patel CR, Patel RM (2014) Transmission line loadability improvement using FACTS device. Int J Res Eng Technol 1(1):626–630
Catherine Divya I, Nagalakshmi S (2014) Comparison of mincut and differential evolution algorithms for SCOPF with FACTS devices under normal and n-1 contingency conditions. Int J Adv Res Electr Electron Instrum Eng 3(4):9159–9163
Das S, Suganthan PN (2011) Differential evolution: a survey of the state-of-the-art. IEEE Trans Evolut Comput Syst 15(1):4–31
Gnanambal K, Babulal CK (2012) Maximum loadability limit of power system using hybrid differential evolution with particle swarm optimization. Electr Power Energy Syst 43(1):150–155
Hung DQ, Mithulananthan N (2014) Loss reduction and loadability enhancement with DG: a dual-index analytical approach. Appl Energy 115(1):233–241
Jithendranath J, Hemachandra RK (2013) Differential evolution approach to optimal reactive power dispatch with voltage stability enhancement by modal analysis. Int J Eng Res Appl 3(4):66–70
Kaur S, Khela RS (2014) Power system design and stability analysis. Int J Adv Res Comput Sci Softw Eng 4(1):167–171
Khan ZA, Zafar A, Javaid S et al (2019) Hybrid meta-heuristic optimization based home energy management system in smart grid. J Ambient Intell Humaniz Comput 10:4837–4853. https://doi.org/10.1007/s12652-018-01169-y
Kheirizad I, Mohammadi A, Varahram MH (2008) Novel algorithm for optimal location of FACTS devices in power system planning. J Electr Eng Technol 3(2):177–218
Kuchibhatla SM, Padmavathi D, Rao RS (2019) Adaptive technique for PQ analysis in renewable sources with grid integrated SSFC. J Ambient Intell Humaniz Comput. https://doi.org/10.1007/s12652-019-01283-5
Kumar K, Paul A, Chen JI (2020) Special issue on “Wearable computing techniques for smart health”. J Ambient Intell Humaniz Comput. https://doi.org/10.1007/s12652-020-01786-6
Lenin K, Ravindhranath Reddy B (2014) Reduction of real power loss by improved differential evolution algorithm. Int J Darshan Inst Eng Res Emerg Technol 3(1):18–23
Malathy P, Shunmugalatha A (2016a) Loadability analysis during contingency with FACTS devices using differential evolution. In: IEEE sponsored 6th international conference on power systems at IIT Delhi, India
Malathy P, Shunmugalatha A (2016b) Loadability analysis during single contingency with FACTS devices using differential evolution. In: Proceedings of 2016 IEEE 6th international conference on power systems
Malathy P, Shunmugalatha A (2016c) Enhancement of maximum loadability during N-1 and N-2 contingencies with multi-type FACTS devices and its optimization using MDE algorithm. In: Proceedings of EEE Uttarpradesh international conference on electrical, computer and electronics engineering (UPCON) conference on electrical, computer and electronics engineering (UPCON) 2016
Malathy P, Shunmugalatha A (2016d) Enhancement of maximum loadability during N-1 and N-2 contingencies with multi-type FACTS devices and its optimization using MDE algorithm. In: IEEE sponsored 3rd international Uttar Pradesh conference on electrical, electronics and computers at IIT Varanasi, India, 9th to 11th December
Malathy P, Shunmugalatha A, Marimuthu T (2016) Application of differential evolution for maximizing the loadability limit of transmission system during contingency. In: 5th international conference on soft computing for problem solving, advances in intelligent systems and computing Springer series, vol 437(1), pp 51–64
Malathy P, Shunmugalatha A (2017) Application of swarm-based intelligent computing algorithms for dynamic evaluation of maximum loadability of transmission network. J Comput Sci 21(1):201–222
Manayarkarasi SP, Sree Renga Raja T (2014) Optimal location and sizing of multiple SVC for voltage risk assessment using Hybrid-DE GSA algorithm. Arab J Sci Eng 39(11):7967–7980
Manikandan R, Bhoopathi M (2013) Contingency analysis in deregulated power market. Int J Adv Res Electr Electron Instrum Eng 2(12):6310–6317
Medeswaran R, Kamaraj N (2014) Power system loadability improvement by optimal allocation of FACTS devices using real coded genetic algorithm. J Theor Appl Inf Technol 65(3):824–830
Mohanty B (2020) Hybrid flower pollination and pattern search algorithm optimized sliding mode controller for deregulated AGC system. J Ambient Intell Humaniz Comput 11:763–776. https://doi.org/10.1007/s12652-019-01348-5
Mohanty AK, Barik AK (2014) Power system stability improvement using FACTS devices. Int J Mod Eng Res 1(2):666–672
Nagalakshmi S, Kamaraj N (2013) On-line evaluation of loadability limit for pool model with TCSC using back-propagation neural network. Int J Electr Power Energy Syst 47(1):52–60
Shahidepour M, Alomoush M (2001) Restructured electrical power systems operation, trading, and volatility. Marcel Dekker Inc, New York
Singh S, Ram A, Goel N, Kumar P (2013) Transient stability enhancement of multi-machine system using FACTS controllers. Int J Eng Sci Innov Technol 2(2):260–268
Srivastava P, Pardhi R (2013) A review on power system stability and applications of FACT devices. Int J Eng Res Appl 3(3):879–883
Suresh CV, Sivanagaraju S (2014) Analysis and effect of generalized unified power flow controller: an optimal location strategy Int J Innov Res Electr Electron Instrum. Control Eng 2(10):2146–2153
Titus S, Vinothbabu BJ, Maria Anton Nishanth I (2013) Power system stability enhancement under three phase fault with FACTS devices TCSC, STATCOM and UPFC. Int J Sci Res Publ 3(3):1–6
Vadivelu KR, Marutheswar GV (2014) Fast Voltage Stability Index based optimal reactive power planning using Differential Evolution. Electr Electron Eng Int Electr Eng J 5(10):1576–1585
Vara Prasad T, Sujatha E (2014) Soft computing technique based enhancement of transmission system loadability incorporating FACTS. Int J Eng Res Appl 4(7):101–110
Vijayasanthi N, Arpitha CN (2013) Transmission system loadability enhancement using FACTS devices. Int J Electr Electron Eng Telecommun 2(1):137–149
Vireshkumar Mathad G, Basangouda Ronald F, Suresh Jangamshetti H (2013) Review on comparison of FACTS controllers for power system stability enhancement. Int J Sci Res Publ 3(3):1–4
Virk PS, Garg VK (2013) Stability enhancement of long transmission line system by using static var compensator. Int J Adv Res Electr Electron Instrum Eng 2(9):4361–4365
Vishnu J, Menon R, Joseph T, Sreedharan S, Vipindas P, Joseph S, Chittesh VC (2014) Maximum loadability assessment of IEEE 14 bus system by using FACTS devices incorporating stability constraints. In: Proceedings of second IRF international conference, Cochin, India, pp 74–80
Yoshida H, Kawata K, Fukuyama Y, Nakanishi Y (1999) A Particle Swarm Optimization for reactive power and voltage control considering voltage stability. IEEE Int Conf Intell Syst Appl Power Syst Rio de Janeiro 1(1):1–4
Zimmerman RD, Murillo-Sánchez CE, Thomas RJ (2011) MATPOWER: steady-state operations, planning, and analysis tools for power systems research and education. IEEE Trans Power Syst 26(1):12–19
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This article has been retracted. Please see the retraction notice for more detail:https://doi.org/10.1007/s12652-022-04326-6
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Malathy, P., Shunmugalatha, A. RETRACTED ARTICLE: Estimation of loadability limit with N-1 and N-2 outages using evolutionary computation techniques. J Ambient Intell Human Comput 12, 5771–5782 (2021). https://doi.org/10.1007/s12652-020-02111-x
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DOI: https://doi.org/10.1007/s12652-020-02111-x