An optimal PMU placement method for power system observability under various contingencies
Summary In this paper, an efficient and comprehensive formulation for the optimal placement of phasor measurement units (PMUs) is proposed to minimize the number of PMU installation subject to full network observability. Moreover, the formulation is extended for assuring complete observability under...
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| Vydáno v: | International transactions on electrical energy systems Ročník 25; číslo 4; s. 589 - 606 |
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| Médium: | Journal Article |
| Jazyk: | angličtina |
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Hoboken
Blackwell Publishing Ltd
01.04.2015
John Wiley & Sons, Inc |
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| ISSN: | 2050-7038, 2050-7038 |
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| Abstract | Summary
In this paper, an efficient and comprehensive formulation for the optimal placement of phasor measurement units (PMUs) is proposed to minimize the number of PMU installation subject to full network observability. Moreover, the formulation is extended for assuring complete observability under single PMU loss or single line outage cases. Since the proposed optimization formulation is regarded to be a multiple‐solution one, both the installation cost and measurement redundancy are employed to differentiate the solutions with the same number of PMUs to be installed. In all of the investigations, the effect of zero‐injection buses in the power system is considered. The effectiveness of the proposed method is verified via some IEEE standard systems and compared with some newly reported methods. Results show that the proposed method is simple to implement and more accurate compared to other existing methods. Moreover, by considering the presented method, the minimum number of required PMUs is decreased in some cases. Copyright © 2014 John Wiley & Sons, Ltd. |
|---|---|
| AbstractList | Summary In this paper, an efficient and comprehensive formulation for the optimal placement of phasor measurement units (PMUs) is proposed to minimize the number of PMU installation subject to full network observability. Moreover, the formulation is extended for assuring complete observability under single PMU loss or single line outage cases. Since the proposed optimization formulation is regarded to be a multiple-solution one, both the installation cost and measurement redundancy are employed to differentiate the solutions with the same number of PMUs to be installed. In all of the investigations, the effect of zero-injection buses in the power system is considered. The effectiveness of the proposed method is verified via some IEEE standard systems and compared with some newly reported methods. Results show that the proposed method is simple to implement and more accurate compared to other existing methods. Moreover, by considering the presented method, the minimum number of required PMUs is decreased in some cases. Copyright © 2014 John Wiley & Sons, Ltd. Summary In this paper, an efficient and comprehensive formulation for the optimal placement of phasor measurement units (PMUs) is proposed to minimize the number of PMU installation subject to full network observability. Moreover, the formulation is extended for assuring complete observability under single PMU loss or single line outage cases. Since the proposed optimization formulation is regarded to be a multiple‐solution one, both the installation cost and measurement redundancy are employed to differentiate the solutions with the same number of PMUs to be installed. In all of the investigations, the effect of zero‐injection buses in the power system is considered. The effectiveness of the proposed method is verified via some IEEE standard systems and compared with some newly reported methods. Results show that the proposed method is simple to implement and more accurate compared to other existing methods. Moreover, by considering the presented method, the minimum number of required PMUs is decreased in some cases. Copyright © 2014 John Wiley & Sons, Ltd. |
| Author | Rashidi, Farzan Niknam, Taher Abiri, Ebrahim |
| Author_xml | – sequence: 1 givenname: Ebrahim surname: Abiri fullname: Abiri, Ebrahim organization: Electrical and Electronic Engineering Department, Shiraz University of Technology, Shiraz, Iran – sequence: 2 givenname: Farzan surname: Rashidi fullname: Rashidi, Farzan email: Correspondence to: Farzan Rashidi, Electrical and Electronic Engineering Department, Shiraz University of Technology, Shiraz, Iran., f.rashidi@ece.ut.ac.ir organization: Electrical and Electronic Engineering Department, Shiraz University of Technology, Shiraz, Iran – sequence: 3 givenname: Taher surname: Niknam fullname: Niknam, Taher organization: Electrical and Electronic Engineering Department, Shiraz University of Technology, Shiraz, Iran |
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| DOI | 10.1002/etep.1848 |
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| References | Hajian M, Ranjbar AM, Amraee T, Mozafari B. Optimal placement of PMUs to maintain network observability using a modified BPSO algorithm. International Journal of Electrical Power and Energy Systems January 2011; 33(1):28-34. Aminifar F, Lucas C, Khodaei A, Fotuhi-Firuzabad M. Optimal placement of phasor measurement units using immunity genetic algorithm. IEEE Transactions on Power Delivery July 2009; 24(3):1014-1020. Gou B. Generalized integer linear programming formulation for optimal PMU placement. IEEE Transactions on Power Systems August 2008; 23(3):1099-1104. Emami R, Abur A. Robust measurement design by placing synchronized phasor measurements on network branches. IEEE Transactions on Power Systems 2010; 20(1):38-43. Ahmadi A, Alinejad-Beromi Y, Moradi M. Optimal PMU placement for power system observability using binary particle swarm optimization and considering measurement redundancy. Expert Systems with Applications Jun. 2011; 38(6):7263-7269. Phadke AG, Thorp JS, Karimi KJ. State Estimation with Phasor Measurements. IEEE Transactions on Power Systems February 1986; 1(1):233-241. Enshaee A, Hooshmand RA, Fesharaki FH. A New Method for Optimal placement of Phasor Measurement Units to Maintain Full Network Observability Under Various Contingencies. Electric Power Systems Research 2012; 89:1-10. Hurtgen M, Maun JC. Optimal PMU placement using Iterated Local Search. International Journal of Electrical Power and Energy Systems 2010; 32(8):857-860. Rakpenthai C, Premrudeepreechacharn S, Uatrongjit S, Watson N. An optima PMU placement method against measurement loss and branch outage. IEEE Transactions on Power Delivery 2007; 22(1):101-107. Abbasy NH, Ismail HM. A unified approach for the optimal PMU location for power system state estimation. IEEE Transactions on Power Systems May 2009; 24(2):806-813. Saha Roy BK, Sinha AK, Pradhan AK. An optimal PMU placement technique for power system observability. International Journal of Electrical Power & Energy Systems November 2012; 42(Issue 1):71-77. Kerdchuen T, Ongsakul W. Optimal PMU placement by stochastic simulated annealing for power system state estimation. GMSARN International Journal Jun. 2008; 2(2):61-66. Aminifar F, Khodaei A, Fotuhi-Firuzabad M, Shahidehpour M. Contingency-constrained PMU placement in power networks. IEEE Transactions on Power Systems February 2010; 25(1):516-523. Nuqui RF, Fadke AG. Phasor measurement unit placement techniques for complete and incomplete observability. IEEE Transactions on Power Delivery Oct. 2005; 20(4):2381-2388. Jamuna K, Swarup KS. Multi-objective biogeography based optimization for optimal PMU placement. Applied Soft computing 2012; 12:1503-1510. Korkali M, Abur A. Placement of PMUs with channel limits. IEEE international conference on Power and Energy July 2009; 1:1-4, 26-30. DOI: 10.1109/PES.2009.5275529 Mahaei SM, Tarafdar Hagh M. Minimizing the number of PMUs and their optimal placement in power systems. Electric Power Systems Research February 2012; 83(1):66-72. Azizi S, Salehi Dobakhshari A, Nezam Sarmadi SA, Ranjbar AM, Gharehpetian GP. Optimal multi-stage PMU placement in electric power systems using Boolean algebra. International Transactions on Electrical Energy Systems 2012. DOI: 10.1002/etep.1713 Peng C, Sun H, Guo J. Multi-objective optimal PMU placement using a non-dominated sorting differential evolution algorithm. International Journal of Electrical Power & Energy Systems Oct. 2010; 32(8):886-892. Dua D, Dambhare S, Gajbhiye RK, Soman SA. Optimal multistage scheduling of PMU placement: An ILP approach. IEEE Transactions on Power Delivery October 2008; 23(4):1812-1820. Peng J, Sun Y, Wang HF. Optimal PMU placement for full network observability using Tabu search algorithm. International Journal of Electrical Power and Energy Systems May 2006; 28(4):223-231. Chakrabarti S, Kyriakides E. Optimal placement of phasor measurement units for power system observability. IEEE Transactions on Power Systems August 2008; 23(3):1433-1440. Milosevic B, Begovic M. Nondominated sorting genetic algorithm for optimal phasor measurement placement. IEEE Transactions on Power System Feb. 2003; 18(1):69-75. Marin FJ, Garcia-Lagos F, Joya G, Sandoval F. Genetic algorithms for optimal of SID placement of phasor measurement units in electrical networks. Electronics Letters September 2003; 39(19):1403-1405. Baldwin TL, Mili L, Boisen MB, Adapa R. Power system observability with minimal phasor measurement placement. IEEE Transactions on Power Systems May 1993; 8(2):707-715. Lin Y-H, Liu C-W, Chen C-S. A new PMU-based fault detection/location technique for transmission lines with consideration of arcing fault discrimination-part I: theory and algorithms. IEEE Transactions on Power Delivery Oct. 2004; 19(4):1587-1593. Sodhi R, Srivastava SC, Singh SN. Optimal PMU placement method for complete topological and numerical observability of power system. Electric Power Systems Research 2010; 80(9):1154-1159. 2010; 32 October 2008; 23 July 2009; 1 2012 February 1986; 1 February 2010; 25 February 2012; 83 2010; 80 May 1993; 8 2012; 12 January 2011; 33 August 2008; 23 2010; 20 Oct. 2004; 19 July 2009; 24 Jun. 2008; 2 Feb. 2003; 18 August 2005 May 2009; 24 Oct. 2005; 20 September 2003; 39 Oct. 2010; 32 May 2006; 28 2012; 89 2007; 22 Jun. 2011; 38 November 2012; 42 |
| References_xml | – reference: Ahmadi A, Alinejad-Beromi Y, Moradi M. Optimal PMU placement for power system observability using binary particle swarm optimization and considering measurement redundancy. Expert Systems with Applications Jun. 2011; 38(6):7263-7269. – reference: Peng C, Sun H, Guo J. Multi-objective optimal PMU placement using a non-dominated sorting differential evolution algorithm. International Journal of Electrical Power & Energy Systems Oct. 2010; 32(8):886-892. – reference: Dua D, Dambhare S, Gajbhiye RK, Soman SA. Optimal multistage scheduling of PMU placement: An ILP approach. IEEE Transactions on Power Delivery October 2008; 23(4):1812-1820. – reference: Gou B. Generalized integer linear programming formulation for optimal PMU placement. IEEE Transactions on Power Systems August 2008; 23(3):1099-1104. – reference: Aminifar F, Lucas C, Khodaei A, Fotuhi-Firuzabad M. Optimal placement of phasor measurement units using immunity genetic algorithm. IEEE Transactions on Power Delivery July 2009; 24(3):1014-1020. – reference: Phadke AG, Thorp JS, Karimi KJ. State Estimation with Phasor Measurements. IEEE Transactions on Power Systems February 1986; 1(1):233-241. – reference: Hajian M, Ranjbar AM, Amraee T, Mozafari B. Optimal placement of PMUs to maintain network observability using a modified BPSO algorithm. International Journal of Electrical Power and Energy Systems January 2011; 33(1):28-34. – reference: Saha Roy BK, Sinha AK, Pradhan AK. An optimal PMU placement technique for power system observability. International Journal of Electrical Power & Energy Systems November 2012; 42(Issue 1):71-77. – reference: Sodhi R, Srivastava SC, Singh SN. Optimal PMU placement method for complete topological and numerical observability of power system. Electric Power Systems Research 2010; 80(9):1154-1159. – reference: Emami R, Abur A. Robust measurement design by placing synchronized phasor measurements on network branches. IEEE Transactions on Power Systems 2010; 20(1):38-43. – reference: Mahaei SM, Tarafdar Hagh M. Minimizing the number of PMUs and their optimal placement in power systems. Electric Power Systems Research February 2012; 83(1):66-72. – reference: Kerdchuen T, Ongsakul W. Optimal PMU placement by stochastic simulated annealing for power system state estimation. GMSARN International Journal Jun. 2008; 2(2):61-66. – reference: Enshaee A, Hooshmand RA, Fesharaki FH. A New Method for Optimal placement of Phasor Measurement Units to Maintain Full Network Observability Under Various Contingencies. Electric Power Systems Research 2012; 89:1-10. – reference: Milosevic B, Begovic M. Nondominated sorting genetic algorithm for optimal phasor measurement placement. IEEE Transactions on Power System Feb. 2003; 18(1):69-75. – reference: Rakpenthai C, Premrudeepreechacharn S, Uatrongjit S, Watson N. An optima PMU placement method against measurement loss and branch outage. IEEE Transactions on Power Delivery 2007; 22(1):101-107. – reference: Korkali M, Abur A. Placement of PMUs with channel limits. IEEE international conference on Power and Energy July 2009; 1:1-4, 26-30. DOI: 10.1109/PES.2009.5275529 – reference: Lin Y-H, Liu C-W, Chen C-S. A new PMU-based fault detection/location technique for transmission lines with consideration of arcing fault discrimination-part I: theory and algorithms. IEEE Transactions on Power Delivery Oct. 2004; 19(4):1587-1593. – reference: Jamuna K, Swarup KS. Multi-objective biogeography based optimization for optimal PMU placement. Applied Soft computing 2012; 12:1503-1510. – reference: Azizi S, Salehi Dobakhshari A, Nezam Sarmadi SA, Ranjbar AM, Gharehpetian GP. Optimal multi-stage PMU placement in electric power systems using Boolean algebra. International Transactions on Electrical Energy Systems 2012. DOI: 10.1002/etep.1713 – reference: Marin FJ, Garcia-Lagos F, Joya G, Sandoval F. Genetic algorithms for optimal of SID placement of phasor measurement units in electrical networks. Electronics Letters September 2003; 39(19):1403-1405. – reference: Peng J, Sun Y, Wang HF. Optimal PMU placement for full network observability using Tabu search algorithm. International Journal of Electrical Power and Energy Systems May 2006; 28(4):223-231. – reference: Nuqui RF, Fadke AG. Phasor measurement unit placement techniques for complete and incomplete observability. IEEE Transactions on Power Delivery Oct. 2005; 20(4):2381-2388. – reference: Chakrabarti S, Kyriakides E. Optimal placement of phasor measurement units for power system observability. IEEE Transactions on Power Systems August 2008; 23(3):1433-1440. – reference: Abbasy NH, Ismail HM. A unified approach for the optimal PMU location for power system state estimation. IEEE Transactions on Power Systems May 2009; 24(2):806-813. – reference: Baldwin TL, Mili L, Boisen MB, Adapa R. Power system observability with minimal phasor measurement placement. IEEE Transactions on Power Systems May 1993; 8(2):707-715. – reference: Hurtgen M, Maun JC. Optimal PMU placement using Iterated Local Search. International Journal of Electrical Power and Energy Systems 2010; 32(8):857-860. – reference: Aminifar F, Khodaei A, Fotuhi-Firuzabad M, Shahidehpour M. Contingency-constrained PMU placement in power networks. IEEE Transactions on Power Systems February 2010; 25(1):516-523. – volume: 24 start-page: 806 issue: 2 year: May 2009 end-page: 813 article-title: A unified approach for the optimal PMU location for power system state estimation publication-title: IEEE Transactions on Power Systems – volume: 83 start-page: 66 issue: 1 year: February 2012 end-page: 72 article-title: Minimizing the number of PMUs and their optimal placement in power systems publication-title: Electric Power Systems Research – volume: 89 start-page: 1 year: 2012 end-page: 10 article-title: A New Method for Optimal placement of Phasor Measurement Units to Maintain Full Network Observability Under Various Contingencies publication-title: Electric Power Systems Research – volume: 23 start-page: 1433 issue: 3 year: August 2008 end-page: 1440 article-title: Optimal placement of phasor measurement units for power system observability publication-title: IEEE Transactions on Power Systems – volume: 25 start-page: 516 issue: 1 year: February 2010 end-page: 523 article-title: Contingency‐constrained PMU placement in power networks publication-title: IEEE Transactions on Power Systems – volume: 20 start-page: 38 issue: 1 year: 2010 end-page: 43 article-title: Robust measurement design by placing synchronized phasor measurements on network branches publication-title: IEEE Transactions on Power Systems – volume: 8 start-page: 707 issue: 2 year: May 1993 end-page: 715 article-title: Power system observability with minimal phasor measurement placement publication-title: IEEE Transactions on Power Systems – volume: 20 start-page: 2381 issue: 4 year: Oct. 2005 end-page: 2388 article-title: Phasor measurement unit placement techniques for complete and incomplete observability publication-title: IEEE Transactions on Power Delivery – volume: 2 start-page: 61 issue: 2 year: Jun. 2008 end-page: 66 article-title: Optimal PMU placement by stochastic simulated annealing for power system state estimation publication-title: GMSARN International Journal – volume: 80 start-page: 1154 issue: 9 year: 2010 end-page: 1159 article-title: Optimal PMU placement method for complete topological and numerical observability of power system publication-title: Electric Power Systems Research – volume: 18 start-page: 69 issue: 1 year: Feb. 2003 end-page: 75 article-title: Nondominated sorting genetic algorithm for optimal phasor measurement placement publication-title: IEEE Transactions on Power System – volume: 28 start-page: 223 issue: 4 year: May 2006 end-page: 231 article-title: Optimal PMU placement for full network observability using Tabu search algorithm publication-title: International Journal of Electrical Power and Energy Systems – volume: 19 start-page: 1587 issue: 4 year: Oct. 2004 end-page: 1593 article-title: A new PMU‐based fault detection/location technique for transmission lines with consideration of arcing fault discrimination‐part I: theory and algorithms publication-title: IEEE Transactions on Power Delivery – volume: 32 start-page: 886 issue: 8 year: Oct. 2010 end-page: 892 article-title: Multi‐objective optimal PMU placement using a non‐dominated sorting differential evolution algorithm publication-title: International Journal of Electrical Power & Energy Systems – volume: 12 start-page: 1503 year: 2012 end-page: 1510 article-title: Multi‐objective biogeography based optimization for optimal PMU placement publication-title: Applied Soft computing – volume: 1 start-page: 1 year: July 2009 end-page: 4 article-title: Placement of PMUs with channel limits publication-title: IEEE international conference on Power and Energy – volume: 32 start-page: 857 issue: 8 year: 2010 end-page: 860 article-title: Optimal PMU placement using Iterated Local Search publication-title: International Journal of Electrical Power and Energy Systems – year: August 2005 – volume: 33 start-page: 28 issue: 1 year: January 2011 end-page: 34 article-title: Optimal placement of PMUs to maintain network observability using a modified BPSO algorithm publication-title: International Journal of Electrical Power and Energy Systems – volume: 23 start-page: 1812 issue: 4 year: October 2008 end-page: 1820 article-title: Optimal multistage scheduling of PMU placement: An ILP approach publication-title: IEEE Transactions on Power Delivery – volume: 24 start-page: 1014 issue: 3 year: July 2009 end-page: 1020 article-title: Optimal placement of phasor measurement units using immunity genetic algorithm publication-title: IEEE Transactions on Power Delivery – volume: 1 start-page: 233 issue: 1 year: February 1986 end-page: 241 article-title: State Estimation with Phasor Measurements publication-title: IEEE Transactions on Power Systems – volume: 23 start-page: 1099 issue: 3 year: August 2008 end-page: 1104 article-title: Generalized integer linear programming formulation for optimal PMU placement publication-title: IEEE Transactions on Power Systems – year: 2012 article-title: Optimal multi‐stage PMU placement in electric power systems using Boolean algebra publication-title: International Transactions on Electrical Energy Systems – volume: 39 start-page: 1403 issue: 19 year: September 2003 end-page: 1405 article-title: Genetic algorithms for optimal of SID placement of phasor measurement units in electrical networks publication-title: Electronics Letters – volume: 22 start-page: 101 issue: 1 year: 2007 end-page: 107 article-title: An optima PMU placement method against measurement loss and branch outage publication-title: IEEE Transactions on Power Delivery – volume: 38 start-page: 7263 issue: 6 year: Jun. 2011 end-page: 7269 article-title: Optimal PMU placement for power system observability using binary particle swarm optimization and considering measurement redundancy publication-title: Expert Systems with Applications – volume: 42 start-page: 71 issue: Issue 1 year: November 2012 end-page: 77 article-title: An optimal PMU placement technique for power system observability publication-title: International Journal of Electrical Power & Energy Systems |
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In this paper, an efficient and comprehensive formulation for the optimal placement of phasor measurement units (PMUs) is proposed to minimize the... Summary In this paper, an efficient and comprehensive formulation for the optimal placement of phasor measurement units (PMUs) is proposed to minimize the... |
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| Title | An optimal PMU placement method for power system observability under various contingencies |
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