A NOVEL PROBABILISTIC METHOD FOR ENERGY LOSS ESTIMATION USING MINIMAL LINE CURRENT INFORMATION

Authors

  • X.Z Nazirova Tashkent State Technical University
  • O.Z Nazirova Tashkent State Technical University
  • Sh.A Abdunazarov Tashkent State Technical University

Keywords:

Energy losses, distribution system, normal distribution, probability.

Abstract

Despite it is essential to distribution network economics, computing energy loss for most major networks is still a tough task due to the absence of full monitoring. Assume the line current follows a normal distribution, the sum of its square is a linear combination of independent chi- square variables, which follows a generalized noncentral chi-square distribution. Based on this finding, we develop a new probability-based analytical method to estimate distribution network energy losses efficiently. The proposed analytical method requires merely the knowledge of mean and variance of line current as well as the line resistance while provides a closed-form formula of the probability characteristics of energy loss. The method is demonstrated on a three-feeder radial network.

References

Losses Estimation in Power Distribution Systems," IEEE Transactions on Power Systems, vol. 27, no. 4, pp. 1879-1887, Nov. 2012.

L. Fang, K. Ma, R. Li, Z. Wang, and H. Shi, "A Statistical Approach to Estimate Imbalance-Induced Energy Losses for Data-Scarce Low Voltage Networks," IEEE Transactions on Power Systems, vol. 34, no. 4, pp. 2825- 2835, Jul. 2019.

O. M. Mikic, "Variance-Based Energy Loss Computation in Low Voltage Distribution Networks," IEEE Transactions on Power Systems, vol. 22, no. 1, pp. 179-187, Fed, 2007.

T. Cacoullos and M. Koutras, "Quadratic forms in spherical random variables: Generalized noncentral x2 distribution," Naval Research Logistics Quarterly, vol. 31, no. 3, pp. 447-461, 1984.

A. Mathai and S. Provost, "Quadratic Forms in Random Variables: Theory and Applications," vol. 87, 1992.

P. Ramírez-Espinosa, D. Morales-Jimenez, J. A. Cortés, J. F. Paris, and E. Martos-Naya, "New Approximation to Distribution of Positive RVs Applied to Gaussian Quadratic Forms," IEEE Signal Processing Letters, vol. 26, no. 6, pp. 923-927, Jun. 2019.

R. B. Davies, "Algorithm AS 155: The Distribution of a Linear Combination of χ2 Random Variables," Journal of the Royal Statistical Society. Series C (Applied Statistics), vol. 29, no. 3, pp. 323-333, 1980.

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Published

2023-05-01

How to Cite

Nazirova, X., Nazirova, O., & Abdunazarov, S. (2023). A NOVEL PROBABILISTIC METHOD FOR ENERGY LOSS ESTIMATION USING MINIMAL LINE CURRENT INFORMATION. SCHOLAR, 1(11), 54–62. Retrieved from https://researchedu.org/index.php/openscholar/article/view/3272

Issue

Vol. 1 No. 11 (2023): SCHOLAR

Section

Articles

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Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.