This paper presents a new anomaly detection scheme based on modified DFT Adaptive Neural Network (ADALINE) for the determination of time skew error and frequency drift in the Phasor Measurement Unit (PMU). The modified DFT/ADALINE algorithm is used to determine time stamp errors and frequency drift errors through the determination of the change in the phase angle in terms of the correlation coefficient. The correlation coefficient, δ(φ0,t) is used to determine the relationship in the change of the phase angle, ?φ0 with respect to the change in the reporting time, ?t. Further, the correlation coefficient, δ(φ0,f) is used to determine the relationship between the change of the phase angle, ?φ0 with respect to drift in the grid frequency, ?f. The parallel ADALINE algorithms compute the correlation coefficient in the range ?1 to 1 from which values of δ ≥ 0.8 represent normal correlation and δ ≤ 0.799 represents data anomaly in the grid frequency or the reporting time. ADALINE flags the values for δ ≤ 0799 only thereby reducing the memory requirements of the PMU. The results of PMU/ADALINE simulation in MATLAB/Simulink, show a smooth system response around the optimal operating point of 49.85 Hz at the maximum correlation coefficient value of 0.9974. It further shows that the correlation coefficient is above 0.8 for grid frequencies in the 49.55 Hz to 50.45 Hz range, signifying normal control area operating frequencies in accordance with South African Grid System Operation Code. It can also be seen that a drift in frequency produces a corresponding time error signifying the relationship between the time skew error and frequency drift with the phase angle error in the PMU. Correlation coefficient values below 0.8 signify data Anomalies for the grid frequency outliers i.e. corresponding to grid frequencies below 49.5 Hz and above 50.5 Hz. In conclusion, our proposed PMU/ADALINE model guarantees enhanced accuracy and precision of measurement devoid of doing a massive process of iteration as it employees deep learning AI to compute the correlation coefficient signifying the presence of time skew and grid frequency error.
References
[1]
Musonda, G., Zulu, A. and Lubobya, C.S. (2024) Determination of Total Vector Error of the Phasor Measurement Unit (PMU) Using the Phase Angle Error of a Constant Amplitude Voltage Signal. JournalofPowerandEnergyEngineering, 12, 34-47. https://doi.org/10.4236/jpee.2024.1211002
[2]
Mishra, C., Vanfretti, L., De La Ree, J., Jones, K.D. and Gardner, M.R. (2024) Estimating Clock Synchronization Correction Factor from Synchrophasor Phase Angle Drift. 2024 InternationalConferenceonSmartGridSynchronizedMeasurementsandAnalytics (SGSMA), Washington, 21-23 May 2024, 1-5. https://doi.org/10.1109/sgsma58694.2024.10571449
[3]
Almutairy, F., Scekic, L., Matar, M., Elmoudi, R. and Wshah, S. (2023) Detection and Mitigation of GPS Spoofing Attacks on Phasor Measurement Units Using Deep Learning. InternationalJournalofElectricalPower&EnergySystems, 151, Article ID: 109160. https://doi.org/10.1016/j.ijepes.2023.109160
[4]
Parvez, I., Sarwat, A.I., Pinto, J., Parvez, Z. and Khandaker, M.A. (2017) A Gossip Algorithm Based Clock Synchronization Scheme for Smart Grid Applications. 2017 NorthAmericanPowerSymposium (NAPS), Morgantown, 17-19 September 2017, 1-6. https://doi.org/10.1109/naps.2017.8107405
[5]
Ravi, A., Saranathan, M., Achuthan, P.H.K., Lavanya, M.C. and Rajini, V. (2022) A Comprehensive Review on the Current Trends in Micro-Phasor Measurement Units. IOPConferenceSeries: MaterialsScienceandEngineering, 1258, Article ID: 012045. https://doi.org/10.1088/1757-899x/1258/1/012045
[6]
Mishra, C., Vanfretti, L., Delaree, J. and Jones, K.D. (2024) Internal Clock Errors in Synchrophasor Ambient Data: Effects, Detection, and a Posteriori Estimation-Based Correction. InternationalJournalofElectricalPower&EnergySystems, 161, Article ID: 110208. https://doi.org/10.1016/j.ijepes.2024.110208
[7]
Agustoni, M., Castello, P. and Frigo, G. (2022) Phasor Measurement Unit with Digital Inputs: Synchronization and Interoperability Issues. IEEETransactionsonInstrumentationandMeasurement, 71, 1-10. https://doi.org/10.1109/tim.2022.3175052
[8]
de la O Serna, J.A., Paternina, M.A. and Zamora-Mendez, A. (2021) Assessing Synchrophasor Estimates of an Event Captured by a Phasor Measurement Unit. IEEETransactionsonPowerDelivery, 36, 3109-3117. https://doi.org/10.1109/tpwrd.2020.3033755
[9]
Rahmati, A. (2016) Accurate Real-Time Measurements of the Smart Grid Phasor Measurement Unit Parameters. ElectricPowerComponentsandSystems, 44, 1815-1824. https://doi.org/10.1080/15325008.2015.1114049
[10]
Giotopoulos, V. and Korres, G. (2023) Implementation of Phasor Measurement Unit Based on Phase-Locked Loop Techniques: A Comprehensive Review. Energies, 16, Article 5465. https://doi.org/10.3390/en16145465
[11]
Ponnala, R., Vijay Babu, P., Leelakrishna, C. and Reddy, R. (2024) Development and Implementation of Synchronized Phasor Measurements for Dynamic State Power System Monitoring and Fault Identification. https://doi.org/10.21203/rs.3.rs-4186838/v1
[12]
Kumar, J., Singh, A.K. and Kumar, U. (2023) Effect of WLS Method with Phasor Measurement Unit in State Estimation of Power System. JournalforBasicSciences, 23, No. 5.
[13]
de la O Serna, J.A. (2018) Analyzing Power Oscillating Signals with the O-Splines of the Discrete Taylor-Fourier Transform. IEEETransactionsonPowerSystems, 33, 7087-7095. https://doi.org/10.1109/tpwrs.2018.2832615
[14]
Phadke, A.G. and Bi, T.S. (2018) Phasor Measurement Units, WAMS, and Their Applications in Protection and Control of Power Systems. Journal of Modern Power Systems and Clean Energy, 6, 619-629.
[15]
Almas, M.S., Vanfretti, L., Singh, R.S. and Margret Jonsdottir, G. (2018) Vulnerability of Synchrophasor-Based WAMPAC Applications’ to Time Synchronization Spoofing. 2018 IEEEPower&EnergySocietyGeneralMeeting (PESGM), Portland, 5-10 August 2018, 1. https://doi.org/10.1109/pesgm.2018.8586667
[16]
Zenati, H., Romain, M., Foo, C., Lecouat, B. and Chandrasekhar, V. (2018) Adversarially Learned Anomaly Detection. 2018 IEEEInternationalConferenceonDataMining (ICDM), Singapore, 17-20 November 2018, 727-736. https://doi.org/10.1109/icdm.2018.00088
[17]
Mohammed, M.Q., Al-Safi, M.G.S. and Faris, A.M. (2024) Statistical Anomaly Detection for Enhanced Cybersecurity Using Ai-Based Wireless Networks. Ingénieriedessystèmesdinformation, 29, 1743-1754. https://doi.org/10.18280/isi.290508
[18]
Wang, S.Y., Hijazi, M. and Dehghanian, P. (2023) Smart Measurement Units in Smart Grids: An AI-in-the-Loop Solution for Distributed Intelligence and High-Fidelity Measurements. Association for the Advancement of Artificial Intelligence. https://www.aaai.org
[19]
Regev, Y.A., Vassdal, H., Halden, U., Catak, F.O. and Cali, U. (2022) Hybrid AI-Based Anomaly Detection Model using Phasor Measurement Unit Data. arXiv: 2209.12665.
[20]
Le, N.T. and Benjapolakul, W. (2018) A Data Imputation Model in Phasor Measurement Units Based on Bagged Averaging of Multiple Linear Regression. IEEEAccess, 6, 39324-39333.
[21]
Lixia, M., Benigni, A., Flammini, A., Muscas, C., Ponci, F. and Monti, A. (2012) A Software-Only PTP Synchronization for Power System State Estimation with PMUs. IEEETransactionsonInstrumentationandMeasurement, 61, 1476-1485. https://doi.org/10.1109/tim.2011.2180973
Ponnala, R., Chakravarthy, M. and Lalitha, S.V.N.L. (2022) Effective Monitoring of Power System with Phasor Measurement Unit and Effective Data Storage System. Bulletin of Electrical Engineering and Informatics, 11, 2471-2478. https://doi.org/10.11591/eei.v11i5.4085
[24]
IEEE (2011) IEEE Std C37.118.1-2011; IEEE Standard for Synchrophasor Measurements for Power Systems.
[25]
Mohapatra, D. (2015) Development and Hardware Implementation of a Phasor Measurement Unit using Microcontroller. National Institute of Technology, Rourkela, 9-10.
[26]
Li, H. (2019) Frequency Estimation and Tracking by Two-Layered Iterative DFT with Re-Sampling in Non-Steady States of Power System. EURASIPJournalonWirelessCommunicationsandNetworking, 2019, Article No. 28. https://doi.org/10.1186/s13638-018-1320-1
[27]
Chukkaluru, S.L. and Affijulla, S. (2023) Review of Discrete Fourier Transform during Dynamic Phasor Estimation and the Design of Synchrophasor Units. ECTI Transactions onElectricalEngineering, Electronics, andCommunications, 21, Article ID: 248548. https://doi.org/10.37936/ecti-eec.2023211.248548
[28]
Ali, Z., Saleem, K., Brown, R., Christofides, N. and Dudley, S. (2022) Performance Analysis and Benchmarking of PLL-Driven Phasor Measurement Units for Renewable Energy Systems. Energies, 15, Article 1867. https://doi.org/10.3390/en15051867
[29]
Saleem, K., Ali, Z. and Mehran, K. (2021) A Single-Phase Synchronization Technique for Grid-Connected Energy Storage System under Faulty Grid Conditions. IEEE TransactionsonPowerElectronics, 36, 12019-12032. https://doi.org/10.1109/tpel.2021.3071418
[30]
Rao, A.V.K., Soni, K.M., Sinha, S.K. and Nasiruddin, I. (2021) Dynamic Phasor Estimation Using Adaptive Artificial Neural Network. InternationalJournalofSystemAssuranceEngineeringandManagement, 12, 310-317. https://doi.org/10.1007/s13198-021-01082-2
[31]
Islam, A., Bouzerdoum, A. and Belhaouari, S.B. (2024) Bio-Inspired Adaptive Neurons for Dynamic Weighting in Artificial Neural Networks. arXiv: 2412.01454. https://www.researchgate.net/publication/386375425
[32]
Nanda, S. and Dash, P.K. (2016) A Gauss-Newton ADALINE for Dynamic Phasor Estimation of Power Signals and Its FPGA Implementation. IEEETransactionsonInstrumentationandMeasurement, 67, 45-56.
[33]
John, T. (1997) An Introduction to Error Analysis: The Study of Uncertainties in Physical Measurements. University Science Books, 215-217.
[34]
Yu, W.P., Yao, W.X., Deng, X.D., Zhao, Y.F. and Liu, Y.L. (2020) Timestamp Shift Detection for Synchrophasor Data Based on Similarity Analysis between Relative Phase Angle and Frequency. IEEE Transactions on Power Delivery, 35, 1588-1591.
[35]
Björkhem, F., Myrland, J.B., Jolhammar, T. and Nour, O.M. (2024) Implementation of a Phasor Measurement Unit in Matlab. Department of Electrical Engineering, Uppsala University, 13-17.
[36]
Khaledian, E., Pandey, S., Kundu, P. and Srivastava, A.K. (2021) Real-Time Synchrophasor Data Anomaly Detection and Classification Using isolationForest, Kmeans, andLoop. IEEETransactionsonSmartGrid, 12, 2378-2388. https://doi.org/10.1109/tsg.2020.3046602
[37]
(2022) Description of Normal Frequency, The South African Grid Code System Operation Code, Version 10.1. Eskom Transmission Division.