PMU-Based Detection of Voltage Imbalances with Tolerance Constraints

The problem of voltage imbalance detection in a three-phase power system using phasor measurement unit (PMU) data is considered within a hypothesis testing framework. A general model for the PMU output with a downsampled negative sequence is presented. The new formulation takes into account computation complexity and tolerance of imbalance. A new monitoring tool, referred to as a generalized locally most powerful (GLMP) test, is proposed for detection in the presence of nuisance parameters. A closed-form expression of the GLMP test is developed for the detection of an imbalance problem, based on a single PMU's measurements. Numerical simulations show improved performance over benchmark techniques.

[1]  P.F. Ribeiro,et al.  A PLL-Based Multirate Structure for Time-Varying Power Systems Harmonic/Interharmonic Estimation , 2009, IEEE Transactions on Power Delivery.

[2]  Zhaosheng Teng,et al.  Approximate Algorithm for Fast Calculating Voltage Unbalance Factor of Three-Phase Power System , 2014, IEEE Transactions on Industrial Informatics.

[3]  J. Thorp,et al.  A New Measurement Technique for Tracking Voltage Phasors, Local System Frequency, and Rate of Change of Frequency , 1983, IEEE Transactions on Power Apparatus and Systems.

[4]  Ali Abur,et al.  A Robust PMU Based Three-Phase State Estimator Using Modal Decoupling , 2014, IEEE Transactions on Power Systems.

[5]  Math Bollen IEEE Richard Harold Kaufmann Award Call for Nominations , 2002 .

[6]  Masoud Ghiafeh Davoudi,et al.  Effects of unsymmetrical power transmission system on the voltage balance and power flow capacity of the lines , 2012, 2012 11th International Conference on Environment and Electrical Engineering.

[7]  H. Vincent Poor,et al.  An introduction to signal detection and estimation (2nd ed.) , 1994 .

[8]  Dawei Fan,et al.  Phasor-Based Synchronized Frequency Measurement in Power Systems , 2007, IEEE Transactions on Power Delivery.

[9]  Lang Tong,et al.  PMU-Based Detection of Imbalance in Three-Phase Power Systems , 2014, IEEE Transactions on Power Systems.

[10]  Frank Marohn A COMMENT ON LOCALLY MOST POWERFUL TESTS IN THE PRESENCE OF NUISANCE PARAMETERS , 2002 .

[11]  S. Perera,et al.  Voltage Unbalance Emission Assessment in Interconnected Power Systems , 2013, IEEE Transactions on Power Delivery.

[12]  Chaiyod Pirak,et al.  Voltage unbalance measurement in three-phase smart meter applied to AMI systems , 2013, 2013 10th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology.

[13]  A. Abur,et al.  Effects of nontransposed lines and unbalanced loads on state estimation , 2002, 2002 IEEE Power Engineering Society Winter Meeting. Conference Proceedings (Cat. No.02CH37309).

[14]  Edward J. Coyle,et al.  Observing the Power Grid: Working Toward a More Intelligent, Efficient, and Reliable Smart Grid with Increasing User Visibility , 2012, IEEE Signal Processing Magazine.

[15]  J. V. Milanovic,et al.  Statistical Estimation of the Source and Level of Voltage Unbalance in Distribution Networks , 2012, IEEE Transactions on Power Delivery.

[16]  Danilo P. Mandic,et al.  Adaptive Frequency Estimation in Smart Grid Applications: Exploiting Noncircularity and Widely Linear Adaptive Estimators , 2012, IEEE Signal Processing Magazine.

[17]  Lang Tong,et al.  Joint Frequency and Phasor Estimation Under the KCL Constraint , 2013, IEEE Signal Processing Letters.

[18]  S. Arnalte,et al.  Direct Power Control Applied to Doubly Fed Induction Generator Under Unbalanced Grid Voltage Conditions , 2008, IEEE Transactions on Power Electronics.

[19]  P. Pillay,et al.  Influence of unbalanced voltage on the steady-state performance of a three-phase squirrel-cage induction motor , 2004, IEEE Transactions on Energy Conversion.

[20]  Patrice Wira,et al.  Kalman filtering with a new state-space model for three-phase systems: Application to the identification of symmetrical components , 2015, 2015 IEEE International Conference on Evolving and Adaptive Intelligent Systems (EAIS).

[21]  M. Rizo,et al.  A space-vector discrete Fourier transform for detecting harmonic sequence components of three-phase signals , 2009, 2009 35th Annual Conference of IEEE Industrial Electronics.

[22]  J. V. Milanovic,et al.  Probabilistic Estimation of Voltage Unbalance in MV Distribution Networks With Unbalanced Load , 2015, IEEE Transactions on Power Delivery.

[23]  Tsai-Hsiang Chen,et al.  Examination of the definitions of voltage unbalance , 2013 .

[24]  A.K. Singh,et al.  Some Observations on Definitions of Voltage Unbalance , 2007, 2007 39th North American Power Symposium.

[25]  Bikash C. Pal,et al.  Three-phase state estimation using hybrid particle swarm optimization , 2017, 2016 IEEE Power and Energy Society General Meeting (PESGM).

[26]  M. Tavakoli Bina,et al.  Three-phase unbalance of distribution systems: Complementary analysis and experimental case study , 2011 .

[27]  Antonio Gómez Expósito,et al.  A Multilevel State Estimation Paradigm for Smart Grids , 2011, Proceedings of the IEEE.

[28]  Lang Tong,et al.  Networked detection of voltage imbalances for three-phase power systems , 2015, 2015 IEEE 24th International Symposium on Industrial Electronics (ISIE).

[29]  Zhiqian Bo,et al.  A nondifferential protection scheme for generator stator windings , 2001 .

[30]  Steven Kay,et al.  Fundamentals Of Statistical Signal Processing , 2001 .

[31]  Alex David Rodriguez,et al.  Comparative analysis between voltage unbalance definitions , 2015, 2015 Workshop on Engineering Applications - International Congress on Engineering (WEA).

[32]  Ching-Yin Lee,et al.  Effects of unbalanced voltage on the operation performance of a three-phase induction motor , 1999 .

[33]  Sefa Demirtas,et al.  Joint Voltage and Phase Unbalance Detector for Three Phase Power Systems , 2013, IEEE Signal Processing Letters.

[34]  A. L Ferreira Filho,et al.  Analysis of the complex voltage unbalance factor behavior resulting from the variation of voltage magnitudes and angles , 2010, Proceedings of 14th International Conference on Harmonics and Quality of Power - ICHQP 2010.

[35]  F. Blaabjerg,et al.  Advanced Grid Synchronization System for Power Converters under Unbalanced and Distorted Operating Conditions , 2006, IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics.

[36]  B. Banerjee,et al.  Assessment of Voltage Unbalance , 2001, IEEE Power Engineering Review.

[37]  Antonello Monti,et al.  Impact of heterogeneous measurements in the state estimation of unbalanced distribution networks , 2013, 2013 IEEE International Instrumentation and Measurement Technology Conference (I2MTC).

[38]  Danilo P. Mandic,et al.  Widely Linear Adaptive Frequency Estimation of Unbalanced Three-Phase Power Systems , 2012, IEEE Transactions on Instrumentation and Measurement.

[39]  D. Sundararajan,et al.  Estimation of harmonics and interharmonics using phase-locked loop , 2013, 2013 International Conference on Power, Energy and Control (ICPEC).

[40]  G.K. Stefopoulos,et al.  On Three-Phase State Estimation in the Presence of GPS-Synchronized Phasor Measurements , 2007, 2007 39th North American Power Symposium.

[41]  Arun G. Phadke,et al.  Synchronized Phasor Measurements and Their Applications , 2008 .

[42]  Milan Prodanovic,et al.  State Estimation Techniques for Electric Power Distribution Systems , 2014, 2014 European Modelling Symposium.

[43]  J. Arrillaga,et al.  Power quality following deregulation , 2000, Proceedings of the IEEE.

[44]  Vincent Choqueuse,et al.  Estimation of Amplitude, Phase and Unbalance Parameters in Three-phase Systems: Analytical Solutions, Efficient Implementation and Performance Analysis , 2014, IEEE Transactions on Signal Processing.

[45]  Louis L. Scharf,et al.  Locally Most Powerful Invariant Tests for Correlation and Sphericity of Gaussian Vectors , 2012, IEEE Transactions on Information Theory.

[46]  Ali Abur,et al.  Use of phasor measurements and tuned weights for unbalanced system state estimation , 2010, North American Power Symposium 2010.

[47]  A. S. Debs,et al.  Power system state estimation using three-phase models , 1995 .

[48]  Lang Tong,et al.  Local detection of voltage imbalance in three-phase power systems based on PMU output , 2015, 2015 IEEE Power & Energy Society Innovative Smart Grid Technologies Conference (ISGT).

[49]  U. Vaidya,et al.  PMU-based model-free approach for short term voltage stability monitoring , 2012, 2012 IEEE Power and Energy Society General Meeting.