An ILP model for stochastic placement of μPMUs with limited voltage and current channels in a reconfigurable distribution network
Micro phasor measurement units (μPMUs) play a major role in the evolution of distribution networks toward the smart grids by providing precise and synchronized measurements. In this study, an integer linear programming (ILP) model for stochastic optimal μPMU placement (SOMPP) problem is formulated i...
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| Veröffentlicht in: | International journal of electrical power & energy systems Jg. 148; S. 108951 |
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| Format: | Journal Article |
| Sprache: | Englisch |
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01.06.2023
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| ISSN: | 0142-0615 |
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| Abstract | Micro phasor measurement units (μPMUs) play a major role in the evolution of distribution networks toward the smart grids by providing precise and synchronized measurements. In this study, an integer linear programming (ILP) model for stochastic optimal μPMU placement (SOMPP) problem is formulated in order that the network would remain observable following a network reconfiguration. Furthermore, the current measurement channels are considered limited and it is also extended to voltage measurement channels, in order to be employed in cases that measurement channels are insufficient (e.g. three-phase networks). The uncertain quantities including the variability of load demands and the unreliability of lines are characterize by proper probability distribution functions (PDFs) instead of constant values, and employed in a Monte Carlo simulation (MCS) process. The most probable scenarios are obtained by a scenario reduction method, and the most probable topologies within each scenario are identified by multiple execution of reconfiguration for the reduced scenarios using the genetic algorithm (GA). Then the SOMPP model is solved for each reduced scenario using the concept of equivalent network that is also introduced in present work. A formulation for the deterministic form of the problem is also developed in order to compare the results of the SOMPP model with the deterministic one, by which the observability of all possible topologies is guaranteed with a limited number of channels. Furthermore, using the concept of voltage channels limit, the formulation of the SOMPP model is extended to include the unbalanced networks. The simulations are performed on 33-bus and 240-bus distribution networks. The numerical results revealed the relative superiority of the SOMPP model over the deterministic version and previous works in terms of decreasing the required number of μPMUs. Moreover, the effectiveness of the model in handling the random variables with unknown PDFs is also determined. The success of the reduced scenarios in representing the most general scenarios is also demonstrated by evaluating a large number of scenarios. The validation of the concept of equivalent network is also examined for multiple simulation cases.
•Distribution networks are prone to losing observability following a reconfiguration.•Reconfiguration is affected by the stochastic nature of some network elements.•The micro-PMU placement model provides observability for the most probable topologies.•Line failures and loads forecasting are considered as the sources of uncertainty.•The uncertainties are captured using proper probability distribution functions. |
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| AbstractList | Micro phasor measurement units (μPMUs) play a major role in the evolution of distribution networks toward the smart grids by providing precise and synchronized measurements. In this study, an integer linear programming (ILP) model for stochastic optimal μPMU placement (SOMPP) problem is formulated in order that the network would remain observable following a network reconfiguration. Furthermore, the current measurement channels are considered limited and it is also extended to voltage measurement channels, in order to be employed in cases that measurement channels are insufficient (e.g. three-phase networks). The uncertain quantities including the variability of load demands and the unreliability of lines are characterize by proper probability distribution functions (PDFs) instead of constant values, and employed in a Monte Carlo simulation (MCS) process. The most probable scenarios are obtained by a scenario reduction method, and the most probable topologies within each scenario are identified by multiple execution of reconfiguration for the reduced scenarios using the genetic algorithm (GA). Then the SOMPP model is solved for each reduced scenario using the concept of equivalent network that is also introduced in present work. A formulation for the deterministic form of the problem is also developed in order to compare the results of the SOMPP model with the deterministic one, by which the observability of all possible topologies is guaranteed with a limited number of channels. Furthermore, using the concept of voltage channels limit, the formulation of the SOMPP model is extended to include the unbalanced networks. The simulations are performed on 33-bus and 240-bus distribution networks. The numerical results revealed the relative superiority of the SOMPP model over the deterministic version and previous works in terms of decreasing the required number of μPMUs. Moreover, the effectiveness of the model in handling the random variables with unknown PDFs is also determined. The success of the reduced scenarios in representing the most general scenarios is also demonstrated by evaluating a large number of scenarios. The validation of the concept of equivalent network is also examined for multiple simulation cases.
•Distribution networks are prone to losing observability following a reconfiguration.•Reconfiguration is affected by the stochastic nature of some network elements.•The micro-PMU placement model provides observability for the most probable topologies.•Line failures and loads forecasting are considered as the sources of uncertainty.•The uncertainties are captured using proper probability distribution functions. |
| ArticleNumber | 108951 |
| Author | Moghaddas-Tafreshi, Seyed Masoud Khanjani, Nasim |
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| Cites_doi | 10.1016/j.ijepes.2019.105427 10.1109/TSG.2022.3174917 10.1049/iet-gtd.2013.0251 10.1016/j.ijepes.2015.04.022 10.1109/TSG.2011.2167163 10.1016/j.ijepes.2015.11.106 10.1016/j.measurement.2018.12.039 10.1016/j.epsr.2010.01.003 10.1016/j.ijepes.2014.03.068 10.3390/su11247097 10.1109/ACCESS.2019.2902465 10.1109/TPWRD.2010.2090907 10.1109/TIA.2020.3023680 10.1016/j.apenergy.2019.05.054 10.1049/iet-gtd.2019.0957 10.1109/TPWRS.2011.2161349 10.1109/61.568268 10.1007/s40998-019-00236-0 10.1109/JSYST.2020.2990435 10.1109/61.25627 10.1016/j.measurement.2018.11.001 10.1016/j.eswa.2010.12.025 10.1016/j.ijepes.2018.09.001 10.1049/iet-stg.2019.0326 |
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| References | Aghaei, Baharvandi, Rabiee, Akbari (b16) 2015; 11 Azizi, Salehi-Dobakhshari, Nezam-Sarmadi, Ranjbar (b4) 2012; 3 Babu, Bhattacharyya (b12) 2019; 134 Su, Wang, Li, Liu, Yu, Wu (b6) 2019; 250 Abdelsalam, Abdelaziz, Mukherjee (b22) 2014 Siahkali, Vakilian (b36) 2010; 80 Ahmadi, Alinejad-Beromi, Moradi (b1) 2011; 38 Aminifar, Fotuhi-Firuzabad, Shahidehpour, Khodaei (b14) 2010; 26 Elsayed, Mohamed, Abdelraheem, Nayel (b27) 2020; 56 Moradi-Sepahvand, Mashhour, Mortazavi (b26) 2019; 105 Wang, Huang, Ke, Zhao, Fan, Wang (b18) 2020; 14 Ghamsari-Yazdel, Esmaili (b11) 2016; 78 Zhao, Yuan, Ai, Lv (b2) 2015; 73 Dutta, Sadhu, Reddy, Mohanta (b31) 2020 Sedighizadeh, Esmaili, Mahmoodi (b40) 2017; 13 Bu, Yuan, Wang, Dehghanpour, Kimber (b39) 2019 Mohamed, Al-Sumaiti, Krid, Awwad, Kavousi-Fard (b7) 2019; 7 Biswas, Azimian, Pal (b28) 2020 Khanjani, Moghaddas-Tafreshi (b32) 2020 Dua, Tyagi, Kumar (b25) 2021 Bečejac, Stefanov (b5) 2020; 115 Abiri, Rashidi, Niknam, Salehi (b3) 2014; 61 Anguswamy, Datta, Meegahapola, Vahidnia (b29) 2022 Ghasemi, Moshtagh (b41) 2013; 5 Chauhan, Sodhi (b24) 2019 Elaziez, Mohamed, AbdelRaheem, Nayel (b30) 2020 Okekunle, Unigwe, Kiprakis (b19) 2020; 3 Devi, Geethanjali (b13) 2020; 154 Huang, Li, Liu, Zhang, Sun, Yang (b9) 2019; 11 Koochi, Hemmatpour (b21) 2020; 118 Razavi, Falaghi, Nezhad, Moghaddam, Gandoman (b15) 2020; 44 Borozan, Rajicic, Ackovski (b33) 1997; 12 Abdelsalam, Abdelaziz, Osama, Salem (b23) 2014 Guo, Liao, Chu (b17) 2021 Chen, Wei, Cao, Soh, Tseng (b20) 2020; 14 Baran, Wu (b38) 1989; 4 Gomez, Rios, Anders (b10) 2014; 8 Dalvand, Azami, Tarimoradi (b34) 2008 Billinton, Allan (b35) 1992 Lavorato, Franco, Rider, Romero (b37) 2011; 27 Shafiullah, Hossain, Abido, Abdel-Fattah, Mantawy (b8) 2019; 135 Zhao (10.1016/j.ijepes.2023.108951_b2) 2015; 73 Koochi (10.1016/j.ijepes.2023.108951_b21) 2020; 118 Huang (10.1016/j.ijepes.2023.108951_b9) 2019; 11 Dua (10.1016/j.ijepes.2023.108951_b25) 2021 Su (10.1016/j.ijepes.2023.108951_b6) 2019; 250 Anguswamy (10.1016/j.ijepes.2023.108951_b29) 2022 Dutta (10.1016/j.ijepes.2023.108951_b31) 2020 Azizi (10.1016/j.ijepes.2023.108951_b4) 2012; 3 Bu (10.1016/j.ijepes.2023.108951_b39) 2019 Abiri (10.1016/j.ijepes.2023.108951_b3) 2014; 61 Guo (10.1016/j.ijepes.2023.108951_b17) 2021 Abdelsalam (10.1016/j.ijepes.2023.108951_b22) 2014 Wang (10.1016/j.ijepes.2023.108951_b18) 2020; 14 Sedighizadeh (10.1016/j.ijepes.2023.108951_b40) 2017; 13 Gomez (10.1016/j.ijepes.2023.108951_b10) 2014; 8 Chauhan (10.1016/j.ijepes.2023.108951_b24) 2019 Aminifar (10.1016/j.ijepes.2023.108951_b14) 2010; 26 Okekunle (10.1016/j.ijepes.2023.108951_b19) 2020; 3 Devi (10.1016/j.ijepes.2023.108951_b13) 2020; 154 Shafiullah (10.1016/j.ijepes.2023.108951_b8) 2019; 135 Lavorato (10.1016/j.ijepes.2023.108951_b37) 2011; 27 Billinton (10.1016/j.ijepes.2023.108951_b35) 1992 Siahkali (10.1016/j.ijepes.2023.108951_b36) 2010; 80 Ghamsari-Yazdel (10.1016/j.ijepes.2023.108951_b11) 2016; 78 Abdelsalam (10.1016/j.ijepes.2023.108951_b23) 2014 Mohamed (10.1016/j.ijepes.2023.108951_b7) 2019; 7 Borozan (10.1016/j.ijepes.2023.108951_b33) 1997; 12 Khanjani (10.1016/j.ijepes.2023.108951_b32) 2020 Elsayed (10.1016/j.ijepes.2023.108951_b27) 2020; 56 Elaziez (10.1016/j.ijepes.2023.108951_b30) 2020 Razavi (10.1016/j.ijepes.2023.108951_b15) 2020; 44 Moradi-Sepahvand (10.1016/j.ijepes.2023.108951_b26) 2019; 105 Babu (10.1016/j.ijepes.2023.108951_b12) 2019; 134 Biswas (10.1016/j.ijepes.2023.108951_b28) 2020 Bečejac (10.1016/j.ijepes.2023.108951_b5) 2020; 115 Baran (10.1016/j.ijepes.2023.108951_b38) 1989; 4 Aghaei (10.1016/j.ijepes.2023.108951_b16) 2015; 11 Ahmadi (10.1016/j.ijepes.2023.108951_b1) 2011; 38 Dalvand (10.1016/j.ijepes.2023.108951_b34) 2008 Chen (10.1016/j.ijepes.2023.108951_b20) 2020; 14 Ghasemi (10.1016/j.ijepes.2023.108951_b41) 2013; 5 |
| References_xml | – year: 2021 ident: b25 article-title: Deploying micro-PMUs with channel limit in reconfigurable distribution systems publication-title: IEEE Syst J – volume: 78 start-page: 857 year: 2016 end-page: 863 ident: b11 article-title: Reliability-based probabilistic optimal joint placement of PMUs and flow measurements publication-title: Int J Electr Power Energy Syst – volume: 11 start-page: 332 year: 2015 end-page: 341 ident: b16 article-title: Probabilistic PMU placement in electric power networks: an MILP-based multiobjective model publication-title: IEEE Trans Ind Inf – volume: 11 start-page: 7097 year: 2019 ident: b9 article-title: A probabilistic multi-objective model for phasor measurement units placement in the presence of line outage publication-title: Sustainability – volume: 14 year: 2020 ident: b18 article-title: Risk-oriented PMU placement approach in electric power systems publication-title: IET Gener Transm Distrib – start-page: 191 year: 2014 end-page: 196 ident: b22 article-title: Optimal PMU placement in a distribution network considering network reconfiguration publication-title: 2014 International conference on circuits, power and computing technologies – volume: 3 start-page: 174 year: 2012 end-page: 182 ident: b4 article-title: Optimal PMU placement by an equivalent linear formulation for exhaustive search publication-title: IEEE Trans Smart Grid – volume: 250 start-page: 313 year: 2019 end-page: 322 ident: b6 article-title: Optimal placement of phasor measurement unit in distribution networks considering the changes in topology publication-title: Appl Energy – volume: 154 year: 2020 ident: b13 article-title: Hybrid of genetic algorithm and minimum spanning tree method for optimal PMU placements publication-title: Measurement – volume: 118 year: 2020 ident: b21 article-title: A general PMU placement approach considering both topology and system aspects of contingencies publication-title: Int J Electr Power Energy Syst – volume: 5 year: 2013 ident: b41 article-title: Radial distribution systems reconfiguration considering power losses cost and damage cost due to power supply interruption of consumers publication-title: Int J Electr Eng Inform – volume: 61 start-page: 585 year: 2014 end-page: 593 ident: b3 article-title: Optimal PMU placement method for complete topological observability of power system under various contingencies publication-title: Int J Electr Power Energy Syst – volume: 7 start-page: 33393 year: 2019 end-page: 33404 ident: b7 article-title: A reliability-oriented fuzzy stochastic framework in automated distribution grids to allocate publication-title: IEEE Access – volume: 56 start-page: 6871 year: 2020 end-page: 6881 ident: b27 article-title: Optimal publication-title: IEEE Trans Ind Appl – start-page: 1 year: 2020 end-page: 5 ident: b32 article-title: Analysis of observability constraint on optimal feeder reconfiguration of an active distribution network with publication-title: 2020 28th Iranian conference on electrical engineering – volume: 80 start-page: 1006 year: 2010 end-page: 1017 ident: b36 article-title: Stochastic unit commitment of wind farms integrated in power system publication-title: Electr Power Syst Res – start-page: 1 year: 2014 end-page: 6 ident: b23 article-title: Impact of distribution system reconfiguration on optimal placement of phasor measurement units publication-title: 2014 Clemson university power systems conference – volume: 12 start-page: 435 year: 1997 end-page: 442 ident: b33 article-title: Minimum loss reconfiguration of unbalanced distribution networks publication-title: IEEE Trans Power Deliv – volume: 27 start-page: 172 year: 2011 end-page: 180 ident: b37 article-title: Imposing radiality constraints in distribution system optimization problems publication-title: IEEE Trans Power Syst – volume: 134 start-page: 606 year: 2019 end-page: 623 ident: b12 article-title: Strategic placements of PMUs for power network observability considering redundancy measurement publication-title: Measurement – volume: 8 start-page: 121 year: 2014 end-page: 130 ident: b10 article-title: Reliability-based phasor measurement unit placement in power systems considering transmission line outages and channel limits publication-title: IET Gener Transm Distrib – year: 1992 ident: b35 article-title: Reliability evaluation of engineering systems – start-page: 1 year: 2020 end-page: 8 ident: b30 article-title: Optimal publication-title: 2020 IEEE international conference on power electronics, smart grid and renewable energy – volume: 4 start-page: 1401 year: 1989 end-page: 1407 ident: b38 article-title: Network reconfiguration in distribution systems for loss reduction and load balancing publication-title: IEEE Trans Power Deliv – volume: 38 start-page: 7263 year: 2011 end-page: 7269 ident: b1 article-title: Optimal PMU placement for power system observability using binary particle swarm optimization and considering measurement redundancy publication-title: Expert Syst Appl – volume: 26 start-page: 841 year: 2010 end-page: 849 ident: b14 article-title: Probabilistic multistage PMU placement in electric power systems publication-title: IEEE Trans Power Deliv – year: 2021 ident: b17 article-title: Probabilistic optimal PMU placements under limited observability propagations publication-title: IEEE Syst J – start-page: 181 year: 2020 end-page: 199 ident: b31 article-title: Role of microphasor measurement unit for decision making based on enhanced situational awareness of a modern distribution system publication-title: Decision making applications in modern power systems – volume: 13 start-page: 287 year: 2017 end-page: 302 ident: b40 article-title: Reconfiguration of distribution systems to improve reliability and reduce power losses using imperialist competitive algorithm publication-title: Iran J Electr Electron Eng – volume: 44 start-page: 237 year: 2020 end-page: 252 ident: b15 article-title: An effective approach for the probabilistic and deterministic multistage PMU placement using cuckoo search: Iran’s national power system publication-title: Iran J Sci Technol Trans Eng – volume: 105 start-page: 592 year: 2019 end-page: 601 ident: b26 article-title: Optimal placement of a combination of single-phase and three-phase publication-title: Int J Electr Power Energy Syst – volume: 115 year: 2020 ident: b5 article-title: Groebner bases algorithm for optimal PMU placement publication-title: Int J Electr Power Energy Syst – volume: 135 start-page: 875 year: 2019 end-page: 885 ident: b8 article-title: A modified optimal PMU placement problem formulation considering channel limits under various contingencies publication-title: Measurement – volume: 73 start-page: 240 year: 2015 end-page: 248 ident: b2 article-title: Optimal PMU placement considering topology constraints publication-title: Int J Electr Power Energy Syst – start-page: 1 year: 2008 end-page: 4 ident: b34 article-title: Long-term load forecasting of Iranian power grid using fuzzy and artificial neural networks publication-title: 2008 43rd international universities power engineering conference – start-page: 1 year: 2020 end-page: 5 ident: b28 article-title: A micro-PMU placement scheme for distribution systems considering practical constraints publication-title: 2020 IEEE power & energy society general meeting – start-page: 1 year: 2019 end-page: 6 ident: b39 article-title: A time-series distribution test system based on real utility data publication-title: 2019 North American power symposium – start-page: 1 year: 2019 ident: b24 article-title: Placement of distribution-level phasor measurements for topological observability and monitoring of active distribution networks publication-title: IEEE Trans Instrum Meas – volume: 3 start-page: 626 year: 2020 end-page: 637 ident: b19 article-title: Optimal co-placement method considering non-homogeneous PMU channel capacities publication-title: IET Smart Grid – volume: 14 start-page: 5396 year: 2020 end-page: 5406 ident: b20 article-title: PMU placement for measurement redundancy distribution considering zero injection bus and contingencies publication-title: IEEE Syst J – year: 2022 ident: b29 article-title: Optimal micro-PMU placement in distribution networks considering usable zero-injection phase strings publication-title: IEEE Trans Smart Grid – volume: 13 start-page: 287 issue: 3 year: 2017 ident: 10.1016/j.ijepes.2023.108951_b40 article-title: Reconfiguration of distribution systems to improve reliability and reduce power losses using imperialist competitive algorithm publication-title: Iran J Electr Electron Eng – volume: 115 year: 2020 ident: 10.1016/j.ijepes.2023.108951_b5 article-title: Groebner bases algorithm for optimal PMU placement publication-title: Int J Electr Power Energy Syst doi: 10.1016/j.ijepes.2019.105427 – volume: 154 year: 2020 ident: 10.1016/j.ijepes.2023.108951_b13 article-title: Hybrid of genetic algorithm and minimum spanning tree method for optimal PMU placements publication-title: Measurement – start-page: 1 year: 2019 ident: 10.1016/j.ijepes.2023.108951_b24 article-title: Placement of distribution-level phasor measurements for topological observability and monitoring of active distribution networks publication-title: IEEE Trans Instrum Meas – year: 1992 ident: 10.1016/j.ijepes.2023.108951_b35 – volume: 11 start-page: 332 issue: 2 year: 2015 ident: 10.1016/j.ijepes.2023.108951_b16 article-title: Probabilistic PMU placement in electric power networks: an MILP-based multiobjective model publication-title: IEEE Trans Ind Inf – start-page: 1 year: 2020 ident: 10.1016/j.ijepes.2023.108951_b28 article-title: A micro-PMU placement scheme for distribution systems considering practical constraints – year: 2022 ident: 10.1016/j.ijepes.2023.108951_b29 article-title: Optimal micro-PMU placement in distribution networks considering usable zero-injection phase strings publication-title: IEEE Trans Smart Grid doi: 10.1109/TSG.2022.3174917 – volume: 8 start-page: 121 issue: 1 year: 2014 ident: 10.1016/j.ijepes.2023.108951_b10 article-title: Reliability-based phasor measurement unit placement in power systems considering transmission line outages and channel limits publication-title: IET Gener Transm Distrib doi: 10.1049/iet-gtd.2013.0251 – volume: 73 start-page: 240 year: 2015 ident: 10.1016/j.ijepes.2023.108951_b2 article-title: Optimal PMU placement considering topology constraints publication-title: Int J Electr Power Energy Syst doi: 10.1016/j.ijepes.2015.04.022 – volume: 3 start-page: 174 issue: 1 year: 2012 ident: 10.1016/j.ijepes.2023.108951_b4 article-title: Optimal PMU placement by an equivalent linear formulation for exhaustive search publication-title: IEEE Trans Smart Grid doi: 10.1109/TSG.2011.2167163 – volume: 78 start-page: 857 year: 2016 ident: 10.1016/j.ijepes.2023.108951_b11 article-title: Reliability-based probabilistic optimal joint placement of PMUs and flow measurements publication-title: Int J Electr Power Energy Syst doi: 10.1016/j.ijepes.2015.11.106 – start-page: 1 year: 2014 ident: 10.1016/j.ijepes.2023.108951_b23 article-title: Impact of distribution system reconfiguration on optimal placement of phasor measurement units – volume: 5 issue: 3 year: 2013 ident: 10.1016/j.ijepes.2023.108951_b41 article-title: Radial distribution systems reconfiguration considering power losses cost and damage cost due to power supply interruption of consumers publication-title: Int J Electr Eng Inform – volume: 135 start-page: 875 year: 2019 ident: 10.1016/j.ijepes.2023.108951_b8 article-title: A modified optimal PMU placement problem formulation considering channel limits under various contingencies publication-title: Measurement doi: 10.1016/j.measurement.2018.12.039 – volume: 80 start-page: 1006 issue: 9 year: 2010 ident: 10.1016/j.ijepes.2023.108951_b36 article-title: Stochastic unit commitment of wind farms integrated in power system publication-title: Electr Power Syst Res doi: 10.1016/j.epsr.2010.01.003 – volume: 61 start-page: 585 year: 2014 ident: 10.1016/j.ijepes.2023.108951_b3 article-title: Optimal PMU placement method for complete topological observability of power system under various contingencies publication-title: Int J Electr Power Energy Syst doi: 10.1016/j.ijepes.2014.03.068 – volume: 11 start-page: 7097 issue: 24 year: 2019 ident: 10.1016/j.ijepes.2023.108951_b9 article-title: A probabilistic multi-objective model for phasor measurement units placement in the presence of line outage publication-title: Sustainability doi: 10.3390/su11247097 – start-page: 181 year: 2020 ident: 10.1016/j.ijepes.2023.108951_b31 article-title: Role of microphasor measurement unit for decision making based on enhanced situational awareness of a modern distribution system – volume: 7 start-page: 33393 year: 2019 ident: 10.1016/j.ijepes.2023.108951_b7 article-title: A reliability-oriented fuzzy stochastic framework in automated distribution grids to allocate μ-PMUs publication-title: IEEE Access doi: 10.1109/ACCESS.2019.2902465 – volume: 26 start-page: 841 issue: 2 year: 2010 ident: 10.1016/j.ijepes.2023.108951_b14 article-title: Probabilistic multistage PMU placement in electric power systems publication-title: IEEE Trans Power Deliv doi: 10.1109/TPWRD.2010.2090907 – volume: 118 year: 2020 ident: 10.1016/j.ijepes.2023.108951_b21 article-title: A general PMU placement approach considering both topology and system aspects of contingencies publication-title: Int J Electr Power Energy Syst – start-page: 1 year: 2020 ident: 10.1016/j.ijepes.2023.108951_b30 article-title: Optimal μPMU placement and current channel selection considering running cost for distribution grid – volume: 56 start-page: 6871 issue: 6 year: 2020 ident: 10.1016/j.ijepes.2023.108951_b27 article-title: Optimal μPMU placement based on hybrid current channels selection for distribution grids publication-title: IEEE Trans Ind Appl doi: 10.1109/TIA.2020.3023680 – volume: 250 start-page: 313 year: 2019 ident: 10.1016/j.ijepes.2023.108951_b6 article-title: Optimal placement of phasor measurement unit in distribution networks considering the changes in topology publication-title: Appl Energy doi: 10.1016/j.apenergy.2019.05.054 – volume: 14 issue: 2 year: 2020 ident: 10.1016/j.ijepes.2023.108951_b18 article-title: Risk-oriented PMU placement approach in electric power systems publication-title: IET Gener Transm Distrib doi: 10.1049/iet-gtd.2019.0957 – volume: 27 start-page: 172 issue: 1 year: 2011 ident: 10.1016/j.ijepes.2023.108951_b37 article-title: Imposing radiality constraints in distribution system optimization problems publication-title: IEEE Trans Power Syst doi: 10.1109/TPWRS.2011.2161349 – volume: 12 start-page: 435 issue: 1 year: 1997 ident: 10.1016/j.ijepes.2023.108951_b33 article-title: Minimum loss reconfiguration of unbalanced distribution networks publication-title: IEEE Trans Power Deliv doi: 10.1109/61.568268 – volume: 44 start-page: 237 issue: 1 year: 2020 ident: 10.1016/j.ijepes.2023.108951_b15 article-title: An effective approach for the probabilistic and deterministic multistage PMU placement using cuckoo search: Iran’s national power system publication-title: Iran J Sci Technol Trans Eng doi: 10.1007/s40998-019-00236-0 – volume: 14 start-page: 5396 issue: 4 year: 2020 ident: 10.1016/j.ijepes.2023.108951_b20 article-title: PMU placement for measurement redundancy distribution considering zero injection bus and contingencies publication-title: IEEE Syst J doi: 10.1109/JSYST.2020.2990435 – volume: 4 start-page: 1401 issue: 2 year: 1989 ident: 10.1016/j.ijepes.2023.108951_b38 article-title: Network reconfiguration in distribution systems for loss reduction and load balancing publication-title: IEEE Trans Power Deliv doi: 10.1109/61.25627 – volume: 134 start-page: 606 year: 2019 ident: 10.1016/j.ijepes.2023.108951_b12 article-title: Strategic placements of PMUs for power network observability considering redundancy measurement publication-title: Measurement doi: 10.1016/j.measurement.2018.11.001 – volume: 38 start-page: 7263 issue: 6 year: 2011 ident: 10.1016/j.ijepes.2023.108951_b1 article-title: Optimal PMU placement for power system observability using binary particle swarm optimization and considering measurement redundancy publication-title: Expert Syst Appl doi: 10.1016/j.eswa.2010.12.025 – volume: 105 start-page: 592 year: 2019 ident: 10.1016/j.ijepes.2023.108951_b26 article-title: Optimal placement of a combination of single-phase and three-phase μPMUs for observability of smart distribution networks with asymmetrical structure publication-title: Int J Electr Power Energy Syst doi: 10.1016/j.ijepes.2018.09.001 – year: 2021 ident: 10.1016/j.ijepes.2023.108951_b17 article-title: Probabilistic optimal PMU placements under limited observability propagations publication-title: IEEE Syst J – start-page: 191 year: 2014 ident: 10.1016/j.ijepes.2023.108951_b22 article-title: Optimal PMU placement in a distribution network considering network reconfiguration – start-page: 1 year: 2008 ident: 10.1016/j.ijepes.2023.108951_b34 article-title: Long-term load forecasting of Iranian power grid using fuzzy and artificial neural networks – start-page: 1 year: 2019 ident: 10.1016/j.ijepes.2023.108951_b39 article-title: A time-series distribution test system based on real utility data – year: 2021 ident: 10.1016/j.ijepes.2023.108951_b25 article-title: Deploying micro-PMUs with channel limit in reconfigurable distribution systems publication-title: IEEE Syst J – volume: 3 start-page: 626 issue: 5 year: 2020 ident: 10.1016/j.ijepes.2023.108951_b19 article-title: Optimal co-placement method considering non-homogeneous PMU channel capacities publication-title: IET Smart Grid doi: 10.1049/iet-stg.2019.0326 – start-page: 1 year: 2020 ident: 10.1016/j.ijepes.2023.108951_b32 article-title: Analysis of observability constraint on optimal feeder reconfiguration of an active distribution network with μPMUs |
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