Improving the Power System State Estimation Algorithm Based on the PMUs Placement and Voltage Angle Relationships
Subject Areas : electrical and computer engineering
A. R. Sedighi
1
*
,
M. Sayaf
2
,
M. R. Taban
3
1 - Yazd University
2 - Yazd University
3 -
Keywords: Load estimationphasor measurement unitsPMU placementstate estimationvoltage angle,
Abstract :
To optimize the operation of power systems, monitoring of network state variables is important. Because these variables play an important role in improving economic efficiency, network reliability and analyze system status.Therefore, state estimation algorithm have been used to determine an accurate estimate of state variables with limited measurements. Since modern measuring devices, such as PMUs, in addition to the measurement of electrical quantities are able to measure bus voltage angle,in this paper, a new method is proposed to obtain a more accurate estimate of all network variable. The proposed algorithm determines number and location of the measuring devices (PMUs) in such a way that state variables and electrical quantities can be obtained in the most accurate estimate. Increasing the state estimation calculations accuracy is due to the use of the derivatives of the buses voltage angle equations along with the state estimation relations. Finally, the calculation of the state estimation is performed using the least squared weighted method (WLS). The calculations performed on the IEEE 14 bus network are done using MATLAB and MATPOWER software. The results show that the proposed method has been successful in increasing the accuracy of estimating state variables and reducing the number and proper location of PMUs .
[1] R. A. Zadeh, A. Ghosh, and G. Ledwich, "Combination of kalman filter and least-error square techniques in power system," IEEE Trans. on Power Delivery, vol. 25, no. 4, pp. 2868-2880, Oct. 2010.
[2] A. J. Wood and B. F. Wollenberg, Power Generation, Operation and Control, 2nd Ed, New York, Wiley, pp. 453-513, 1996.
[3] A. Abur and A. G. Exposito, Power System State Estimation: Theory and Implementation, New York, Marcel Dekker, 2004.
[4] R. F. Nuqui, State Estimation and Voltage Security Monitoring Using Synchronized Phasor Measurement, Ph.D Thesis, Virginia Polytechnic Institue and State University, 2001.
[5] P. Supriya and T. N. P. Nambiar, "Harmonic state estimation for a simple power system model using independent component analysis," in Proc. IEEE 9th Int. Conf. on Intelligent Systems and Control, ISCO'15, 4 pp., Coimbatore, India, 9-10 Jan. 2015.
[6] T. Okon and K. Wilkosz, "WLS state estimation in polar and rectangular coordinate systems for power system with UPFC: significance of types of measurements," in Proc. of the Int. Symp. Modern Electric Power Systems, MEPS'10, 6 pp., Wroclaw, Poland, 20-22 Sept. 2010.
[7] A. Jain and N. R. Shivakumar, "Phasor measurements in dynamic state estimation of power systems," in Proc. IEEE Region 10 Conf., TENCON'08, 6 pp., Hyderabad, India, 19-21 Nov. 2008.
[8] M. Hajian, A. M. Ranjbar, T. Amaree, and M. Mozafari, "Optimal placement of PMUs to maintain network observability using a modified BPSO algorithm," International J. of Electrical Power & Energy Systems, vol. 33, no. 1, pp. 28-34, Jan. 2011.
[9] M. Risso, A. J. Rubiales, and P. Andres Lotito, "Hybrid method for power system state estimation," Generation, Transmission & Distribution, IET, vol. 9, no. 7, pp. 636-643, Jul. 2015.
[10] M. Hurtgen and J. C. Maun, "Optimal PMU placement using iterated local search," International J. of Electrical Power & Energy Systems, vol. 32, no. 8, pp. 857-860, Oct. 2010.
[11] ع. یاقوتی، م. پارسامقدم و م. محمودیان، "تخمین بار پستهای شبکه توزیع با جـایابی تجهیزات اندازهگیری محدود،"مجموعه مقالات نوزدهمین کنفرانس بینالمللی برق، 11 صص.، تهران،1383.
[12] J. Qi, K. Sun, and W. Kang, "Optimal PMU placement for power system dynamic state estimation by using empirical observability gramian," IEEE Trans. on Power Systems, vol. 30, no. 4, pp. 2041-2054, Jun. 2015.
[13] L. Ramesh, S. P. Choudhury, S. Chowdhury, and P. A. Crossley, "Elecrical power system state estimation meter placement a comparative survey report," Electric Power Components and Systems, vol. 36, no. 10, pp. 1115-1129, Sep. 2008.
[14] M. K. Celik and W. –H. E. Liu, "An incremental measurement placement algorithm for sate estimation," IEEE Trans. on Power Systems, vol. 10, no. 3, pp. 1698-1703, Aug. 1995.
[15] G. Bei and A. Abur, "An improved measurement placement algorithm for network observability," IEEE Trans. on Power Systems, vol. 16, no. 4, pp. 819-824, Nov. 2001.
[16] G. M. Huang, L. Jiansheng, and A. Abur, "A heuristic approach for power system measurement placement design," in Proc. of the 2003 Int. Symp. on Circuits and Systems, ISCAS'03,, vol. 3, pp. 407-410, Bangkok, Thailand, 25-28 May 2003.
[17] C. Rakpenthai, S. Premrudeepreechacharn, S. Uatrongjit, and N. R. Watson, "Measurement placement for power system state estimation by decomposition technique," in Proc. 11th Int. Conf. on Harmonics and Quality of Power,, pp. 414-418, Lake Placid, NY, USA, 12-15 Sept. 2004.
[18] H. Zhao, Y. Li, Z. Mi, and L. Yu, "Sensitivity constrained PMU placement for complete observability of power systems," in Proc. Transmission and Distribution Conf. and Exhibition: Asia and Pacific, IEEE/PES'05, 5 pp., Dalian, China, 18-18 Aug. 2005.
[19] C. Madtharad, S. Premrudeepreechacharn, N. R. Watson, and S. U. Ratchai, "An optimal measurement placement method for power system harmonic state estimation," IEEE Trans. on Power Delivery, vol. 20, no. 2, pp. 1514-1521, Apr. 2005.
[20] A. Kumar, B. Das, and J. Sharma, "Genetic algorithm-based meter placement for static estimation of harmonic sources," IEEE Trans. on Power Delivery, vol. 20, no. 2, pp. 1088-1096, Apr. 2005.
[21] A. El-Zonkoly, "Optimal meter placement using genetic algorithm to maintain network observability," Expert Systems with Applications, vol. 31, no. 1, pp. 193-198, Jul. 2006.
[22] ا. مشمول، جایابی بهینه دستگاه¬های اندازه¬گیری هارمونیکی جهت تخمین حالت هارمونیکی سیستم¬های قدرت، پایان نامه کارشناسی ارشد، دانشگاه تربیت مدرس، بخش برق، 1383
[23] م. سیاف، تخمین بار در یک فیدر توزیع نمونه 20 کیلوولت، پایاننامه کارشناسی ارشد، دانشگاه یزد، دانشکده مهندسی برق، 1391.
[24] V. Gomathi, C. Venkateshkumar, and V. Ramachandran, "Power systems state estimation with interline power flow controller," International J. on Electrical & Power Engineering, vol. 1, no. 2, pp. 56-69, Jul. 2010.