Phasor Measurement Unit based Fault Detection using Tellegen's Theorem in Geographically Zoned Power Systems
1Electrical Engineering, Jamia Millia Islamia, India
*Author to whom correspondence should be addressed:
E-mail: sunil.kumar.example@university.edu (SK)
E-mail: sunil.kumar.example@university.edu (SK)
Received: November 28, 2024 | Revised: March 07, 2025 | Accepted: April 24, 2025 | Published: June 2025
Abstract
To ensure system stability and minimize downtime, it is imperative to rapidly and precisely identify faults in power systems. This study proposes a method that utilizes Phasor Measurement Units (PMUs) and Tellegen's theorem for fault detection. The power system is divided into zones based on geographical and electrical attributes, with PMUs strategically positioned in each zone to monitor voltage and current phasors. By applying Tellegen's theorem to the collected data, faults within these zones can be pinpointed. Experimental results on an 8-bus power system demonstrate the effectiveness of this approach, showing both accurate fault identification and reduced computational complexity. The simulation modeling of IEEE 8 bus system is performed on the platform real time digital simulator (RTDS/RSCAD).
Keywords
Fault detection ; Tellegen’s theorem ; RTDS ; open circuit and closed-circuit faults ; synchrophasor unit
Available Repositories
Share Article
Article Metrics
--
Views
--
Downloads
--
Citations
Export Citation
Full Text
References
- 1) J.Li, and S. Jiang, "Global energy interconnection: an effective solution to climate challenges," Global Energy Interconnection, 1 (4) 406-408 (2018) doi:10.1016/S2096-5117(18)30075-6
- 2) I.ALI, M.A. AFTAB, and S.M.S. HUSSAIN, "Performance comparison of iec 61850-90-5 and ieee c37.118.2 based wide area pmu communication networks," Journal of Modern Power Systems and Clean Energy, 4 (3) 487-495 (2016) doi:10.1007/s40565-016-0210-y
- 3) R.Isermann, "Model-based fault-detection and diagnosis – status and applications," Annu Rev Control, 29 (1) 71-85 (2005) doi:10.1016/j.arcontrol.2004.12.002
- 4) S.Beheshtaein, R. Cuzner, M. Savaghebi, and J.M. Guerrero, "Review on microgrids protection," IET Generation, Transmission & Distribution, 13 (6) 743-759 (2019) doi:10.1049/iet-gtd.2018.5212
- 5) B.J.Brearley, and R.R. Prabu, "A review on issues and approaches for microgrid protection," Renewable and Sustainable Energy Reviews, 67 988-997 (2017) doi:10.1016/j.rser.2016.09.047
- 6) L.Sun, and F. You, "Machine learning and data-driven techniques for the control of smart power generation systems: an uncertainty handling perspective," Engineering, 7 (9) 1239-1247 (2021) doi:10.1016/j.eng.2021.04.020
- 7) S.Kar, S.R. Samantaray, and M.D. Zadeh, "Data-mining model based intelligent differential microgrid protection scheme," IEEE Syst J, 11 (2) 1161-1169 (2017) doi:10.1109/JSYST.2014.2380432
- 8) M.Mansouri, M.-F. Harkat, H.N. Nounou, and M.N. Nounou, "Model-based approaches for fault detection," in: Data-Driven and Model-Based Methods for Fault Detection and Diagnosis, Elsevier, 2020: pp. 221-258 doi:10.1016/B978-0-12-819164-4.00015-7
- 9) M.Hojabri, U. Dersch, A. Papaemmanouil, and P. Bosshart, "A comprehensive survey on phasor measurement unit applications in distribution systems," Energies (Basel), 12 (23) 4552 (2019) doi:10.3390/en12234552
- 10) S.Samantaray, and N.K. Sharma, "PMU Assisted Integrated Impedance Angle-Based Microgrid Protection Scheme," in: 2022 IEEE Power & Energy Society General Meeting (PESGM), IEEE, 2022: pp. 1-1 doi:10.1109/PESGM48719.2022.9916954
- 11) Y.Bansal, and R. Sodhi, "PMUs enabled tellegen’s theorem-based fault identification method for unbalanced active distribution network using rtds," IEEE Syst J, 14 (3) 4567-4578 (2020) doi:10.1109/JSYST.2020.2976736
- 12) H.F.Habib, M.M. Esfahani, and O. Mohammed, "Development of Protection Scheme for Active Distribution Systems with Penetration of Distributed Generation," in: SoutheastCon 2018, IEEE, 2018: pp. 1-7 doi:10.1109/SECON.2018.8479115
- 13) A.Soleimanisardoo, H. Kazemi Karegar, and H.H. Zeineldin, "Differential frequency protection scheme based on off-nominal frequency injections for inverter-based islanded microgrids," IEEE Trans Smart Grid, 10 (2) 2107-2114 (2019) doi:10.1109/TSG.2017.2788851
- 14) S.Kumar, I. Ali, and A. Siddiqui, "Protection of microgrid feeders using impedance angle analysis assisted by synchrophasor units," Journal of Renewable Energy and Environment, 11 (3) 109-119 (2024) doi:10.30501/jree.2024.432832.1794
- 15) C.Wang, M. Wang, B. Yang, and K. Song, "A model-based method for bearing fault detection using motor current," J Phys Conf Ser, 1650 (3) 032130 (2020) doi:10.1088/1742-6596/1650/3/032130
- 16) X.G.Magagula, Y. Hamam, J.A. Jordaan, and A.A. Yusuff, "Fault detection and classification method using DWT and SVM in a power distribution network," in: 2017 IEEE PES PowerAfrica, IEEE, 2017: pp. 1-6 doi:10.1109/PowerAfrica.2017.7991190
- 17) T.Nagpal, and Y.S. Brar, "Expert system based fault detection of power transformer," J Comput Theor Nanosci, 12 (2) 208-214 (2015) doi:10.1166/jctn.2015.3719
- 18) X.Fan, and M.J. Zuo, "Fault diagnosis of machines based on d–s evidence theory. part 1: d–s evidence theory and its improvement," Pattern Recognit Lett, 27 (5) 366-376 (2006) doi:10.1016/j.patrec.2005.08.025
- 19) M.R.Zaidan, "Power System Fault Detection, Classification And Clearance By Artificial Neural Network Controller," in: 2019 Global Conference for Advancement in Technology (GCAT), IEEE, 2019: pp. 1-5 doi:10.1109/GCAT47503.2019.8978400
- 20) X.Wang, Z. Li, J. Liang, and Y. Li, "A Deep Double-Convolutional Neural Network-Based Fault Detection," in: 2023 IEEE 2nd Industrial Electronics Society Annual On-Line Conference (ONCON), IEEE, 2023: pp. 1-6 doi:10.1109/ONCON60463.2023.10431392
- 21) N.Ramesh Babu, and B. Jagan Mohan, "Fault classification in power systems using emd and svm," Ain Shams Engineering Journal, 8 (2) 103-111 (2017) doi:10.1016/j.asej.2015.08.005
- 22) H.A.Illias, X.R. Chai, and A.H. Abu Bakar, "Hybrid modified evolutionary particle swarm optimisation-time varying acceleration coefficient-artificial neural network for power transformer fault diagnosis," Measurement, 90 94-102 (2016) doi:10.1016/j.measurement.2016.04.052
- 23) M.Korkali, H. Lev-Ari, and A. Abur, "Traveling-wave-based fault-location technique for transmission grids via wide-area synchronized voltage measurements," IEEE Transactions on Power Systems, 27 (2) 1003-1011 (2012) doi:10.1109/TPWRS.2011.2176351
- 24) S.Saha, A. Bag, D. Basu Roy, S. Patranabis, and D. Mukhopadhyay, "Fault Template Attacks on Block Ciphers Exploiting Fault Propagation," in: 2020: pp. 612-643 doi:10.1007/978-3-030-45721-1_22
- 25) G.Chen, Q. Duan, C. Zhao, H. Wang, G. Sha, J. Gao, Y. Li, and S. Zhou, "Novel fault protection method for flexible dc power systems," Energies (Basel), 17 (14) 3446 (2024) doi:10.3390/en17143446
- 26) S.Pan, T. Morris, and U. Adhikari, "Classification of disturbances and cyber-attacks in power systems using heterogeneous time-synchronized data," IEEE Trans Industr Inform, 11 (3) 650-662 (2015) doi:10.1109/TII.2015.2420951
- 27) T.Yildiz, and A. Abur, "Convolutional neural network-assisted fault detection and location using few pmus," Electric Power Systems Research, 235 110705 (2024) doi:10.1016/j.epsr.2024.110705
- 28) I.Pavičić, N. Holjevac, I. Ivanković, and D. Brnobić, "Model for 400 kv transmission line power loss assessment using the pmu measurements," Energies (Basel), 14 (17) 5562 (2021) doi:10.3390/en14175562
- 29) Y.Shu, and W. Chen, "Research and application of uhv power transmission in china," High Voltage, 3 (1) 1-13 (2018) doi:10.1049/hve.2018.0003
- 30) M.B.K.Bouzid, and G. Champenois, "New expressions of symmetrical components of the induction motor under stator faults," IEEE Transactions on Industrial Electronics, 60 (9) 4093-4102 (2013) doi:10.1109/TIE.2012.2235392
- 31) M.Majidi, and M. Etezadi-Amoli, "A new fault location technique in smart distribution networks using synchronized/nonsynchronized measurements," IEEE Transactions on Power Delivery, 33 (3) 1358-1368 (2018) doi:10.1109/TPWRD.2017.2787131
- 32) M.Memarzadeh, B. Matthews, and I. Avrekh, "Unsupervised anomaly detection in flight data using convolutional variational auto-encoder," Aerospace, 7 (8) 115 (2020) doi:10.3390/aerospace7080115
- 33) J.-D.Park, and J. Candelaria, "Fault detection and isolation in low-voltage dc-bus microgrid system," IEEE Transactions on Power Delivery, 28 (2) 779-787 (2013) doi:10.1109/TPWRD.2013.2243478
- 34) Z.Huang, and Z. Wang, "A multiswitch open-circuit fault diagnosis of microgrid inverter based on slidable triangularization processing," IEEE Trans Power Electron, 36 (1) 922-930 (2021) doi:10.1109/TPEL.2020.3004531
- 35) S.A.Hosseini, H.A. Abyaneh, S.H.H. Sadeghi, F. Razavi, and A. Nasiri, "An overview of microgrid protection methods and the factors involved," Renewable and Sustainable Energy Reviews, 64 174-186 (2016) doi:10.1016/j.rser.2016.05.089
- 36) N.Sonule, and Prof.V. Madekar, "Short circuit fault detection and protection of dc microgrid," Int J Res Appl Sci Eng Technol, 11 (6) 4082-4087 (2023) doi:10.22214/ijraset.2023.54397
- 37) S.Das, S. Santoso, A. Gaikwad, and M. Patel, "Impedance-based fault location in transmission networks: theory and application," IEEE Access, 2 537-557 (2014) doi:10.1109/ACCESS.2014.2323353
- 38) S.H.Mortazavi, and J. Sadeh, "An analytical fault location method based on minimum number of installed pmus," International Transactions on Electrical Energy Systems, 26 (2) 253-273 (2016) doi:10.1002/etep.2075
- 39) S.Das, S.P. Singh, and B.K. Panigrahi, "Transmission line fault detection and location using wide area measurements," Electric Power Systems Research, 151 96-105 (2017) doi:10.1016/j.epsr.2017.05.025
- 40) Y.Bansal, and R. Sodhi, "PMUs enabled tellegen’s theorem-based fault identification method for unbalanced active distribution network using rtds," IEEE Syst J, 14 (3) 4567-4578 (2020) doi:10.1109/JSYST.2020.2976736
- 41) W.Li, D. Deka, M. Chertkov, and M. Wang, "Real-time faulted line localization and pmu placement in power systems through convolutional neural networks," IEEE Transactions on Power Systems, 34 (6) 4640-4651 (2019) doi:10.1109/TPWRS.2019.2917794
- 42) C.Allioua, A. Mingotti, R. Tinarelli, L. Peretto, and G. Frigo, "Cloud-Based PMUs for Real-Time Power System Monitoring: Theoretical and Experimental Analysis," in: 2023 IEEE 13th International Workshop on Applied Measurements for Power Systems (AMPS), IEEE, 2023: pp. 01-06 doi:10.1109/AMPS59207.2023.10297270
- 43) S.Ghosh, Y.J. Isbeih, S.K. Azman, M.S. El Moursi, and E. El-Saadany, "Optimal pmu allocation strategy for completely observable networks with enhanced transient stability characteristics," IEEE Transactions on Power Delivery, 37 (5) 4086-4102 (2022) doi:10.1109/TPWRD.2022.3144462
- 44) E.Casagrande, W.L. Woon, H.H. Zeineldin, and D. Svetinovic, "A differential sequence component protection scheme for microgrids with inverter-based distributed generators," IEEE Trans Smart Grid, 5 (1) 29-37 (2014) doi:10.1109/TSG.2013.2251017
Other Papers in This Issue
- Natural Frequency and Damping Properties of Composite Sandwich Materials Manufactured using Vacuum-Assisted Resin Infusion, Vacuum Bagging, and Hand Lay-Up
A. Nugroho et al. (2025) - Assessment of Noise Levels in Working with Welding and CNC Milling Machines in Mechanical Workshops of an Academic Institute
A. Kumar, S. Deswal (2025) - Model Predictive and Direct Voltage Control for Standalone DFIG System
P. verma, K. jaladi (2025) - Natural Ventilation Technique: A Bibliometric Analysis of Research Trends
N. Abdul Rahim, P. Szabó, Z. Kovács (2025) - Sorghum Juice from the 'Super 2' Variety: A Promising Carbon Source for Oleaginous Yeast in Biodiesel Production
M. Wattimena et al. (2025) - Development of Optimized Maintenance Scheduling Model for Coal-Fired Power Plant Boiler
N. Fuzi et al. (2025) - Application of CVR in Advanced Distribution Management System using Firefly Optimization
C. Prajapati, S. Chanana (2025) - The Influence of Human Factors and Measurements on the Formation of Cybersickness while using Virtual Reality: Systematic Literature Review
T. Wijayanto, C. Hasibuan, B. Hartono (2025) - Multi-band Series-Fed Millimeter Wave Array Antenna with LP and CP Characteristics for 5G Applications
P. B. G. et al. (2025) - A Sentiment Analysis Study of Banning Single-Use Plastic Bags Based on X Users’ Attitude
Z. Murti et al. (2025) - Comparative Performance Analysis of a PCM-based Solar Dryer under Natural Air Circulation Conditions
R. Jessam et al. (2025) - Investigation of the Thermal and Surface Properties of Glass-Carbon Hybrid Fiber Epoxy Composite
M. Hasin et al. (2025) - Residual Energy and Quality of Service Parameters based Optimization of Congestion-Aware Machine Learning Algorithms
S. HASSIJA, S. Sikka, M. Vijarania (2025) - Forging the Future: Exploring Aluminium AA-6061 Composites through Stir Casting for Advanced Applications and Future Innovations
V. sharma et al. (2025) - Shaping Atmanirbhar Bharat (Self-Reliant India) through Atmanirbhar Nari (Self-Reliant Women): A Roadmap for Empowering Women-Led MSMEs through ICT, Financial Access, and Skill Development
P. Rathi et al. (2025) - Novel Decentralized Solar-DC Systems for Community Energy Self-Sufficiency: A Validated Case Study
R. Oza, K. Mehta, A. Bavarva (2025) - Synthesis of Biodegradable Tissue Paper Comprised of Cellulose Isolated from Rice Straw Waste and Chitosan: Characterizations and The Effect of Chitosan Concentrations
E. KUSRINI et al. (2025) - SMES Supported AGC Performance Evaluation of Multi Machine Multi Area Power Systems
K. Pandey et al. (2025) - Automated Mangrove Detection Method using Combined Machine Learning and Mangrove Index over Indonesia
R. Brahmantara et al. (2025) - A Modal Analysis-Based Cloud-Shaped Flexible Two-Element CPW-Fed Antenna for 5G Wireless Applications
D. John et al. (2025) - Opportunity of Smart Aquaculture and Eco-Farming Integration in POME Bioremediation and Phycoremediation System for Environmental Sustainability
T. Handayani et al. (2025) - Characteristics of Nitrogen and Sulfur Double Doping in Mahogany Wood-Based Porous Carbon for Potential Carbon Capture Application
A. Aprilia et al. (2025) - Machinability Studies on Aluminium-Silicon Carbide-Graphite Hybrid Composites: A Focus on Drilling with HSS Tool
B. Nithyananda et al. (2025) - Simple Hydrothermal Method for One-Dimensional Synthesis of Al-Doped ZnO for an Organic Dye-Based DSSC Application
H. pujiarti et al. (2025) - The Impact of Covid-19 on Small and Medium Enterprises in Bangladesh
H. Uddin, M. Usman (2025) - Evaluating Green Marketing Strategies: Consumer Perceptions and Sustainability in Brand Development
S. Mushtaq, B. Shameem, V. Rana (2025) - A Review on Recent Development and Future Perspective of Nanofluid Utilization in Automotives
S. Gupta, S. Kumari (2025) - Investigating the Impact of Chromium and Titanium in Mechanical and Corrosion Properties of Iron Alloy Coating Materials Deposited via HVOF
R. Sharma et al. (2025) - Automated Steel Surface Defect Detection using Optimized Cascaded CaffeNet Region Network
S. Kesavan et al. (2025) - Optimization of 3D Printing Process Parameters for Improving the Mechanical Behavior of Honeycomb-Core Sandwich Panels
W. Sari, N. Marin (2025) - Exploring the Behavioral and Psychological Impacts of Smartphone Addiction on Online Gamers: A Quantitative Study
R. Brando et al. (2025) - Gain Enhancement of Star-Shaped Antenna using FSS as Reflector for C-Band Vehicular Communication Systems
C. Sereddy, U. Yalavarthi, T. Boddapati (2025) - Optimizing Frequency Stability in Interconnected Systems with Renewable Energy and EV Integration
N. Kumar et al. (2025) - Measuring Lubricant Concentration in the Mixture with Refrigerant: A Comprehensive Review
I. Sameen et al. (2025) - Industrial Cluster with System Dynamic Approach to Improve Competitiveness: Study on the Micro- and Small-scale Ethanol Industry in Sukoharjo, Indonesia
J. Iskandar et al. (2025) - Extraction of Valuable Elements from Industrial Waste in the Kyrgyz Republic Based on the Process of Electrophysical Ionization
T. Ibraimov et al. (2025) - Transformation of Production Systems in Azerbaijan through Green Economy Principles
A. Alakbarov et al. (2025) - Optimizing Process Parameters in Plastic Injection Molding using the Taguchi Method: A Focus on Minimizing Defects and Improving Product Quality
R. Kumar, K. Bairwa (2025) - Desalination of Groundwater to Preserve Animal Health using a Natural Mineral Sorbent from Western Kazakhstan
S. Satayeva et al. (2025) - Design, Manufacturing, and Experimentation of an Innovative Efficient Energy Harvesting Suspension System
N. Nguyen, D. Do, D. Le (2025) - Modification of Weighted Aggregated Sum Product Assessment Method to Improve Objective Weighting Accuracy in Multi-Criteria Decision Making
M. Mesran et al. (2025) - A New Approach to Weight Allocation in Multi-Objective Optimization on the Basis of Ratio Analysis (MOORA) for Fair Decision Making
D. Desyanti et al. (2025) - Eco-Friendly Pavement Solutions: Geopolymer Concrete with Recycled Aggregates and Geobead Fillers
M. Irnawan, Y. Zaika, A. Munawir (2025) - A Review of Hybrid Nanofluids: Emerging Trends and their Role in Enhancing Parabolic Trough Concentrators Performance
V. Rathore, S. Gupta (2025) - Improved EfficientNetB4 Attention Model for Multi-Disease Detection In Healthcare
D. Kumar, U. Garg, A. Kumar (2025) - Multi-Objective Optimization Approach for Optimizing the Performance of Double-Stage and Lapple Cyclone Separator
A. Aswin et al. (2025) - Sustainable Development and Environmental Journalism: Implementing Societal Progress in Kazakhstan
A. Alimzhanova et al. (2025) - Effect of SiC and B₄C Reinforcements on the Structural and Mechanical Properties of Aluminum Composites Fabricated by Spark Plasma Sintering
S. T et al. (2025) - Mathematical Modeling of Fluidized Bed Drying System: Review and State of the Art
H. Chen et al. (2025) - Extending Legitimacy Theory for Sustainable Business Performance through the Lens of Green Innovation and Financial Synergy
P. Nguyen, B. Khoa (2025) - Thermo-Hydraulic Performance Analysis of a Microchannel Flat-Tube Heat Exchanger with Finned Enhancements
T. Dang, H. Nguyen, K. Thu (2025) - Numerical Simulation of a Multi-Rotor Diffuser Augmented Wind Turbine System by Flux Reconstruction Method
T. Liang, C. Hu, S. Watanabe (2025)









Creative Commons Attribution 4.0 International
