Linear Approximations for the Influence of Phasor Angle Difference Errors on Line Parameter Calculation

Phase angle measurements from phasor measurement units (PMUs) may have errors that can significantly affect line parameter calculation. In this paper, approximate expressions for the influence of phase angle difference errors on line parameter calculation are derived. Specifically, first the PMU phase angle error at both ends of a line is analyzed and an equivalent synchronization error is defined; second, approximated expressions for the influence of current and voltage phase angle difference error on the line parameters are derived. The voltage amplitude ratio on the relative error of line reactance, resistance, and capacitance measurement through the π-type equivalent model are considered. The influence of voltage and current phase angle difference error on reactance and resistance is shown from the perspective of relative sensitivity. The relative sensitivity expressions in active power form are given and the identifiable conditions of line reactance parameters based on PMU data are given. In addition, this paper presents the influence mechanism of voltage magnitude and discusses the case of synchronization issue. Finally, the accuracy of the sensitivity equations is verified by simulations, and the influence of the voltage amplitude ratio and the line flow on the identification result is quantitatively analyzed.

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

[2]  James S. Thorp,et al.  Synchronized Phasor Measurement Applications in Power Systems , 2010, IEEE Transactions on Smart Grid.

[3]  Tianshu Bi,et al.  Impact of transient response of instrument transformers on phasor measurements , 2010, IEEE PES General Meeting.

[4]  L Vanfretti,et al.  A Phasor-Data-Based State Estimator Incorporating Phase Bias Correction , 2011, IEEE Transactions on Power Systems.

[5]  E. Kyriakides,et al.  The effect of parameter and measurement uncertainties on hybrid state estimation , 2012, 2012 IEEE Power and Energy Society General Meeting.

[6]  Paolo Castello,et al.  Impact of the Model on the Accuracy of Synchrophasor Measurement , 2012, IEEE Transactions on Instrumentation and Measurement.

[7]  Dario Petri,et al.  Accuracy Analysis and Enhancement of DFT-Based Synchrophasor Estimators in Off-Nominal Conditions , 2012, IEEE Transactions on Instrumentation and Measurement.

[8]  Husheng Li,et al.  GPS spoofing based time stamp attack on real time wide area monitoring in smart grid , 2012, 2012 IEEE Third International Conference on Smart Grid Communications (SmartGridComm).

[9]  Alejandro D. Dominguez-Garcia,et al.  Spoofing GPS Receiver Clock Offset of Phasor Measurement Units , 2013, IEEE Transactions on Power Systems.

[10]  Zeng Bo.  Research on Factors Influencing Identification of Transmission Line Parameters , 2013 .

[11]  Xiaochuan Luo,et al.  PMU data validation at ISO New England , 2013, 2013 IEEE Power & Energy Society General Meeting.

[12]  Husheng Li,et al.  Time Synchronization Attack in Smart Grid: Impact and Analysis , 2013, IEEE Transactions on Smart Grid.

[13]  S. A. Soman,et al.  Line parameter estimation using phasor measurements by the total least squares approach , 2013, 2013 IEEE Power & Energy Society General Meeting.

[14]  Qi Wenbi.  The Difference Between SCADA and WAMS Real-Time Data in Dispatching Center , 2013 .

[15]  Peter W. Sauer,et al.  Investigating Synchrophasor Data Quality issues , 2014, 2014 Power and Energy Conference at Illinois (PECI).

[16]  Saikat Chakrabarti,et al.  Uncertainty in Transmission Line Parameters: Estimation and Impact on Line Current Differential Protection , 2014, IEEE Transactions on Instrumentation and Measurement.

[17]  Di Shi,et al.  Calculating sequence impedances of transmission line using PMU measurements , 2015, 2015 IEEE Power & Energy Society General Meeting.

[18]  Duan Gan,et al.  Development Status Quo and Tendency of Wide Area Phasor Measuring Technology , 2015 .

[19]  Arye Nehorai,et al.  Placement of PMUs Considering Measurement Phase-Angle Mismatch , 2015, IEEE Transactions on Power Delivery.

[20]  Mladen Kezunovic,et al.  Analysis of PMU algorithm errors during fault transients and out-of-step disturbances , 2016, 2016 IEEE PES Transmission & Distribution Conference and Exposition-Latin America (PES T&D-LA).

[21]  William Holderbaum,et al.  A Method for Accurate Transmission Line Impedance Parameter Estimation , 2016, IEEE Transactions on Instrumentation and Measurement.

[22]  Jako Kilter,et al.  Uncertainty propagation in PMU-based transmission line monitoring , 2017 .

[23]  Gopal Gajjar,et al.  Detection and Correction of Systematic Errors in Instrument Transformers Along With Line Parameter Estimation Using PMU Data , 2017, IEEE Transactions on Power Systems.

[24]  Paolo Attilio Pegoraro,et al.  Handling Instrument Transformers and PMU Errors for the Estimation of Line Parameters in Distribution Grids , 2017, 2017 IEEE International Workshop on Applied Measurements for Power Systems (AMPS).

[25]  Yilu Liu,et al.  Impact of GPS signal loss and its mitigation in power system synchronized measurement devices , 2017 .

[26]  Elias Kyriakides,et al.  Identification and Estimation of Erroneous Transmission Line Parameters Using PMU Measurements , 2017, IEEE Transactions on Power Delivery.

[27]  Elias Kyriakides,et al.  The effect of PMU measurement chain quality on line parameter calculation , 2017, 2017 IEEE International Instrumentation and Measurement Technology Conference (I2MTC).