Voltage Parameter Identification of AC Overhead Transmission Lines by Using Measured Electric Field Data

Authors

  • Dongping Xiao State Key Laboratory of Power Transmission Equipment & System Security and New Technology Chongqing University, Chongqing, 400044, China
  • Qi Zheng State Key Laboratory of Power Transmission Equipment & System Security and New Technology Chongqing University, Chongqing, 400044, China
  • Yutong Xie State Key Laboratory of Power Transmission Equipment & System Security and New Technology Chongqing University, Chongqing, 400044, China
  • Qichao Ma State Key Laboratory of Power Transmission Equipment & System Security and New Technology Chongqing University, Chongqing, 400044, China
  • Zhanlong Zhang State Key Laboratory of Power Transmission Equipment & System Security and New Technology Chongqing University, Chongqing, 400044, China

Keywords:

3-D model, AC overhead transmission lines, electric field, inversion, iterative Tikhonov regularization, parameter identification, position optimization, voltage

Abstract

With the development of smart power grids, the demand for real-time voltage monitoring along overhead transmission lines (OTLs) has been growing. However, the existing voltage measurement of OTLs by using potential transformers involves formidable difficulties. This study proposes a non-contact measurement method in which the voltages on AC OTLs are inversely calculated on the basis of the measured data of the power frequency electric field under OTLs. To improve the accuracy and stability of the inverse calculation, an accurate mathematical model and modified inverse algorithms are investigated and then a set of feasible approaches are proposed. First, considering an overhead conductor’s actual physical form and the meteorological conditions of its operating environment, a 3-D catenary model is built, and the mathematical relations between 3-D electric fields and the voltages on OTLs are identified. Second, the improved particle swarm algorithm is used to search the optimal measurement positions of the electric field to improve the ill-posedness of inverse problems. Third, the iterative Tikhonov regularization method, in which the number of iterations is considered as the variable, is adopted to further improve the ill-posedness of inverse problems and reduce the susceptibility of regular solutions to regularization parameter alpha. Fourth, root mean square values and phase parameters of AC voltages are identified from the sinusoidal fitting curves obtained by the real-time inverse calculation. Results of the simulation and experiment examples show that inverse solutions of high precision can be obtained under the condition with relatively high errors of electric field measurement. Moreover, the advantages of the proposed inversion method, such as fast computing speed and good stability, are demonstrated.

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References

C. Venkatesh and K. S. Swarup, “Performance assessment of distance protection fed by capacitor voltage transformer with electronic ferro-resonance suppression circuit,” Electric Power Systems Research, vol. 112, pp. 12-19, 2014.

D. Topolanek, M. Lehtonen, and M. R. Adzman, “Earth fault location based on evaluation of voltage sag at secondary side of medium voltage/low voltage transformers,” IET Generation Transmission & Distribution, vol. 9, no. 14, pp. 2069-2077, 2015.

Z. Tong, Z. Dong, and T. Ashton, “Analysis of electric field influence on buildings under highvoltage transmission lines,” IET Science Measurement & Technology, vol. 10, no. 4, pp. 253-258, 2016.

A. M. Farah, M. Afonso, and A. Vasconcelos, “A finite-element approach for electric field computation at the surface of overhead transmission line conductors,” IEEE Magnetics Society, vol. PP, no. 99, pp. 1-4, 2017.

R. M. Sarmento, “Electric and magnetic fields in overhead power transmission lines,” IEEE Latin America Transactions, vol. 10, no. 4, pp. 1909- 1915, 2012.

R. M. Radwan, A. M. Mahdy, and M. Abdel, “Electric field mitigation under extra high voltage power lines,” IEEE Trans. Dielectrics and Electrical Insulation, vol. 20, no. 1, pp. 54-62, 2013.

F. Yang, H. Wu, and W. He, “Investigation on the electric field inverse problem of HV transmission lines and discussion on its application,” ACES Journal, vol. 25, no. 2, pp. 129-136, 2010.

A. Z. E. Dein, “Parameters affecting the charge distribution along overhead transmission lines’ conductors and their resulting electric field,” Electric Power Systems Research, vol. 108, pp. 198-210, 2014.

A. Ilyin, S. I. Kabanikhin, and D. B. Nurseitov, “Analysis of ill-posedness and numerical methods of solving a nonlinear inverse problem in pharmacokinetics for the two-compartmental model with extravascular drug administration,” Journal of Inverse and Ill-Posed Problems, vol. 20, pp. 39-64, 2012.

S. Lu and J. Flemming, “Convergence rate analysis of Tikhonov regularization for nonlinear ill-posed problems with noisy operators,” Inverse Problems, vol. 28, pp. 104003, 2012.

T. Ogawa, “Complex-valued network inversion with regularization for ill-posed inverse problems,” Computer Technology & Application, vol. 3, pp. 408-417, 2012.

Z. Zhang, Z. Zhu, and Q. Xin, “Analysis and application of inverse detecting method based on local electric field,” ACES Journal, vol. 27, no. 7, pp. 566-573, 2012.

S. I. Kabanikhin, Inverse and Ill-posed Problems. DE GRUYTER, Berlin, 2011.

J Xu, F Schreier, and A Doicu, “Assessment of Tikhonov-type regularization methods for solving atmospheric inverse problems,” Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 184, pp. 274-286, 2016.

H. Mao, “Adaptive choice of the regularization parameter in numerical differentiation,” Journal of Computational Mathematics, vol. 33, pp. 415-427, 2015.

C. Shi, C. Wang, and G. Zheng, “A new posteriori parameter choice strategy for the convolution regularization of the space-fractional backward diffusion problem,” Journal of Computational and Applied Mathematics, vol. 279, pp. 233-248, 2015.

J. L. García Pallero, J. L. Fernández-Martínez, and Z. Fernández-Muñiz, The Effect of the Noise and the Regularization in Inverse Problems: Geophysical Implication, Mathematics of Planet Earth, Springer, Berlin Heidelberg, 2014.

P. Kumar and A. K. Singh, Single Measurement Based Mechanical State Estimation for Overhead Transmission Lines with Level Spans. IEEE Press, New Jersey, 2014.

F. Bassi, G. Giannuzzi, and M. Giuntoli, “Mechanical behaviour of multi-span overhead transmission lines under dynamic thermal stress of conductors due to power flow and weather conditions,” International Review on Modelling & Simulations, vol. 6, pp. 1112-1122, 2013.

F. Liu and R. D. Findlay, “Investigation of mechanical properties of single layer ACSR based on an integrated model,” Electric Power Systems Research, vol. 78, pp. 209-216, 2008.

P. G. Huray, Static Electric Fields Maxwell's Equations. Wiley-IEEE Press, USA, 2010.

S. S. Chowdhury, A. Lahiri, and S. Chakravorti, “Surface resistance modified electric field computation in asymmetric configuration using surface charge simulation method: a new approach,” IEEE Trans. Dielectrics & Electrical Insulation, vol. 19, no. 3, pp. 1068-1075, 2012.

R. Djekidel, C. Abdelghani, and H. Abdechafik, “Efficiency of some optimization approaches with the charge simulation method (CSM) for calculating the electric field under EHV power lines,” IET Generation Transmission & Distribution, vol. 11, no. 17, pp. 4167-4174, 2017.

D. Xiao, Y. Xie, and H. Liu, “Position optimization of measuring points in voltage non-contact measurement of AC overhead transmission lines,” ACES Journal, vol. 32, no. 10, pp. 908-914, 2017.

F. Chen and Y. B. Tian, “Modeling resonant frequency of rectangular microstrip antenna using CUDA-based artificial neural network trained by particle swarm optimization algorithm,” ACES Journal, vol. 29, no. 12, pp. 1025-1034, 2014.

M. Grasmair, “Variational inequalities and improved convergence rates for Tikhonov regularisation on banach spaces,” Journal of Inverse and Ill-Posed Problems, vol. 21, pp. 379-394, 2013.

S. George and M. Kunhanandan, “An iterative regularization method for ill-posed Hammerstein type operator equation,” Journal of Inverse and Illposed Problems, vol. 17, pp. 831-844, 2009.

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Published

2021-07-22

How to Cite

[1]
Dongping Xiao, Qi Zheng, Yutong Xie, Qichao Ma, and Zhanlong Zhang, “Voltage Parameter Identification of AC Overhead Transmission Lines by Using Measured Electric Field Data”, ACES Journal, vol. 33, no. 08, pp. 895–903, Jul. 2021.

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