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Frontiers in Energy

ISSN 2095-1701

ISSN 2095-1698(Online)

CN 11-6017/TK

Postal Subscription Code 80-972

2018 Impact Factor: 1.701

Front Energ    0, Vol. Issue () : 358-372    https://doi.org/10.1007/s11708-013-0257-7
RESEARCH ARTICLE
Optimal placement of PMUs for the smart grid implementation in Indian power grid—A case study
Pathirikkat GOPAKUMAR1(), G. Surya CHANDRA1, M. Jaya Bharata REDDY1, Dusmata Kumar MOHANTA2
1. Department of Electrical and Electronics Engineering, National Institute of Technology, Tiruchirappalli, 620015, Tamil Nadu, India; 2. Department of Electrical and Electronics Engineering, Birla Institute of Technology, Mesra, 835215, Ranchi, India
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Abstract

Efficient utilization of energy resources is essential for a developing country like India. The concept of smart grid (SG) can provide a highly reliable power system with optimized utilization of available resources. The present Indian power grid requires revolutionary changes to meet the growing demands and to make the grid smarter and reliable. One of the important requirements for SG is the instantaneous monitoring of the voltage, current and power flows at all buses in the grid. The traditional monitoring system cannot satisfy this requirement since they are based on nonlinear power flow equations. Synchro-phasor-measurement devices like phasor measurement units (PMUs) can measure the phasor values of voltages at installed buses. Consequently, the currents passing through all branches connected to that bus can be computed. Since the voltage phasor values at the neighboring buses of a bus containing the PMU can be estimated using Ohm’s law, it is redundant to install PMUs at all the buses in a power grid for its complete observability. This paper proposes the optimal geographical locations for the PMUs in southern region Indian power grid for the implementation of SG, using Integer Linear Programming. The proposed optimal geographical locations for PMU placement can be a stepping stone for the implementation of SG in India.

Keywords phasor measurement units (PMUs)      smart grid (SG)      southern region Indian power grid (SRIPG)      integer linear programming (ILP)     
Corresponding Author(s): GOPAKUMAR Pathirikkat,Email:gopuvattekkat@gmail.com   
Issue Date: 05 September 2013
 Cite this article:   
Pathirikkat GOPAKUMAR,G. Surya CHANDRA,M. Jaya Bharata REDDY, et al. Optimal placement of PMUs for the smart grid implementation in Indian power grid—A case study[J]. Front Energ, 0, (): 358-372.
 URL:  
https://academic.hep.com.cn/fie/EN/10.1007/s11708-013-0257-7
https://academic.hep.com.cn/fie/EN/Y0/V/I/358
Fig.1  A simple sinusoidal waveform and its phasor representation
(a) Sinusoidal waveform with peak value ; (b) phasor representation of the sinusoidal wave
Fig.2  Functional block diagram of PMU
Fig.3  A typical four bus SG
Fig.4  Single line diagram of Tamil Nadu state power grid
No.Bus nameNo.Bus nameNo.Bus nameNo.Bus name
1Chennai23Villupuram45Nallur67Madurai
2G.Poondi24TV Malai46Ingur68Pasumalai
3Almathy25Singarapettai47Pugalur69Paramkudi
4Ennore26Cuddalore48Trichy70Theni
5Monali27Neyveli TS149Thanjavur71Kadamparai
6Tondiarpet28Mettur50Thiruvarur72Sipcot
7Mosur29D. Kurchi51Pudukottai73Tuticorin
8Thiruvalam30NeyveliTS252Alagarkoil74Sathur
9Korattur31STCMS53RGPuram75Kayathur
10Mylapore32SAIL54Arasur76Viranam
11Koyambedu33Salem55Pykara77Kodikurchi
12Budur34M.Tunnel56Kundah378Sterlite
13Kadperi35Mettur TPS57Kundah279Auto
14Hyundai36Bahoor58Kundah180Udayathur
15Tharamani37Villianur59Valthur81Thirunelveli
16SP Koil38Eachengadu60Karaikudi82S.R.Pudur
17Arni39Peranbalur61Thudiyalur83Sankaneri
18V. Mangalam40Unjanai62O.K.Mandabam
19Hosur41Gobi63Udumalpet
20Kalpakkam42P.Chandai64Ponnapuram
21Karimangalam43Samaypuram65Sembatti
22Acharapakkam44Kdalangudu66Myvadi
Tab.1  Bus details for Tamil Nadu state Indian power grid
Fig.5  PMU locations for complete observability in Tamil Nadu state power grid
Fig.6  PMU locations for depth of one un-observability in Tamil Nadu state power grid
SlTest systemPMU locations for complete observabilityPMU locations for depth of one un-observability
1Tamil Nadu6, 7, 9, 12, 19, 22, 27, 30, 33, 35, 47, 48, 50, 54, 58, 60, 63, 67, 73, 751, 19, 20, 27, 33, 48, 50, 57, 61, 63, 73, 75
Tab.2  PMU locations in Tamil Nadu state Indian power grid
Fig.7  Single line diagram of Kerala state power grid
No.Bus nameNo.Bus nameNo.Bus name
84Kasarkode92Trichur100Sabarigiri
85Nallalm93Palakkad101Kayamkulam
86Kaniampet94Periyar102Edamom
87Taliparambu95Idukki103Kundara
88Kanjikode96Bramhapuram104Pothencode
89Areakode97Kalamassery105Trivandrum
90Shornur98Pallom
91Malapparamba99New Pallom
Tab.3  Bus details for Tamil Nadu state Indian power grid
Fig.8  PMU locations for complete observability and depth of one un-observability respectively in Kerala state Indian power grid
(a) For complete observability; (b) for depth of one un-observability
SlTest systemPMU locations for complete observabilityPMU locations for depth of one un-observability
1Kerala5, 6, 9, 12, 16, 205, 12, 17, 20
Tab.4  PMU locations in Kerala state Indian power grid
Fig.9  Single line diagram of Andhra Pradesh state power grid
No.Bus nameNo.Bus nameNo.Bus nameNo.Bus name
106Nirmal125Kakinada CC145Muddannur165Sedam
107Ramagundam126Vemagiri146Arantapur166Humnabad
108Dichpally127Vijayawada147Hindupur167Gulbarga
109Minpur128Bommur148AP3168Y.Mailaram
110Hyderabad129Nidadavolu149AP1169Barsur
111Karimnagar130Bhimadole150Cuddapah170Balimela
112Siddipet131S.Lbph151AP4171AP5
113Bhongir132Kurnool152Chittoor174Tiruvalam
114Khammam133N’Sagar153Ranigunta175Nellore
115Kothagudem134Not used154Sulurpet176Haveri
116Manuguru135Mehboob Ngr155Munirabad177Davangere
117L.Sileru136Raichur156L’Sugur178Kalinadi
118U.Sileru137Gooty157Hubli179Alamanthi
119Gazuwaka139Krishnapatanam158A’wadi180TN 130
120Pendurthi140Warangal159Narendra181Kolar
121Garividi141Siddipet161Ml.Pur
122Vizag142Sri Sailam162Almati
123Simhadri 2143Ongole163BB. Vadi
124Simhadri 3144S.Palli164Shahabad
Tab.5  Bus details of Andhra Pradesh state Indian power grid
Fig.10  PMU locations for complete observability in Andhra Pradesh state power grid
SlTest systemPMU locations for complete observabilityPMU locations for depth of one un-observability
1Andhra Pradesh2, 5, 7, 10, 16, 17, 22, 23, 27, 29, 30, 31, 40, 42, 45, 52, 54, 58, 60, 64, 65, 66, 74, 75, 77, 78, 79, 802, 9, 14, 23, 32, 45, 49, 52, 58, 63
Tab.6  PMU locations in Andhra Pradesh state Indian power grid
Fig.11  PMU locations for depth of one un-observability in Andhra Pradesh state power grid
Fig.12  Single line diagram of Karnataka state Indian power grid
No.Bus nameNo.Bus nameNo.Bus nameNo.Bus name
182Not used189C.Durga196Kemar203KA2
183Kadra190KA1197Mangalore204KA3
184Karwar191Talaguppa198Kudre Mukh205TK Halli
185Kaiga192Tail Race199Tiptur206H Halli
186Sirsi193Honali200Hassan207TN 7
187Sharavathi194Shimoga201Mysore208TN4
188Davangere 2195Varahi138Bangalore
Tab.7  Bus details of Karnataka state Indian power grid
Fig.13  PMU locations in Karnataka state Indian power grid for complete observability and depth of one un-observability respectively
(a) For complete observability; (b) for depth of one un-observability
SlTest systemPMU locations for complete observabilityPMU locations for depth of one un-observability
1Karnataka1, 3, 6, 8, 10, 11, 16, 21, 325, 8, 16, 23, 32
Tab.8  PMU locations in Karnataka state Indian power grid
SlTest systemTotal number of busesNo. of PMUs for complete observabilityNo. of PMUs for the depth of one un-observability
1APKA983411
2APTN1553915
3APKL943514
4KATN1092114
5KAKL48137
6KLTN105189
Tab.9  PMU data for inter-state level Indian power grids
Fig.14  PMU locations for complete observability of SRIPG
SlTest systemPMU locations for the complete observability
1SRIPG1, 9, 10, 12, 22, 25, 27, 28, 30, 33, 47, 48, 50, 54, 58, 60, 63, 65, 73, 75, 76, 88, 89, 93, 95, 99, 104, 107, 110, 112, 115, 121, 122, 127, 128, 132, 135, 138, 145, 147, 152, 154, 157, 159, 163, 165, 167, 169, 170, 171, 181, 182, 185, 188, 192, 196, 201, 203
Tab.10  PMU locations in SRIPG
Fig.15  Comparison chart between number of buses and number of PMUs required for State level power grids
Fig.16  Comparison chart between number of buses and number of PMUs required for Interstate level power grids
Fig.17  Economical savings in total PMU cost for each power grid
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[1] Pathirikkat GOPAKUMAR, M. JAYA BHARATA REDDY, Dusmata Kumar MOHANTA. Pragmatic multi-stage simulated annealing for optimal placement of synchrophasor measurement units in smart power grids[J]. Front. Energy, 2015, 9(2): 148-161.
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