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2018 | OriginalPaper | Chapter

Finding the Initial Variables for Affine Arithmetic-Based Power Flow Analysis

Authors : Yoseph Mekonnen Abebe, P. Mallikarjuna Rao, M. Gopichand Naik

Published in: Advances in Power Systems and Energy Management

Publisher: Springer Singapore

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Abstract

Power flow analysis has been playing a major role in providing information about the power system network. Due to the advancement of variable generation (VG) sources and weather variation, the punctual power flow analysis cannot give any information about the worst case scenario. The introduction of affine arithmetic (AA) is gaining high recognition due to its ability to consider all forms of uncertainty than interval arithmetic (IA). The first work in applying AA for power flow analysis is finding the initial affine forms in order to start the analysis. This paper focuses on finding the initial voltage and angle affine forms for polar coordinates and the initial real and reactive voltage forms for rectangular coordinate system.

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Literature
1.
go back to reference Abebe, Y.M., Pasumarthi, M.R., Mudavath, G.N.: Load flow analysis of uncertain power system through affine arithmetic. In: Lecture Notes in Electrical Engineering Microelectronics, Electromagnetics and Telecommunications, vol. 372, pp. 217–231 (2015) Abebe, Y.M., Pasumarthi, M.R., Mudavath, G.N.: Load flow analysis of uncertain power system through affine arithmetic. In: Lecture Notes in Electrical Engineering Microelectronics, Electromagnetics and Telecommunications, vol. 372, pp. 217–231 (2015)
2.
go back to reference Vaccaro, A., Cańizares, C.A., Villacci, D.: An Affine arithmetic-based methodology for reliable power flow analysis in the presence of data uncertainty. IEEE Trans. Power Syst. 25(2), 624–632 (2010) Vaccaro, A., Cańizares, C.A., Villacci, D.: An Affine arithmetic-based methodology for reliable power flow analysis in the presence of data uncertainty. IEEE Trans. Power Syst. 25(2), 624–632 (2010)
3.
go back to reference Muńoz, J., Cańizares, C., Bhattacharya, K., Vaccaro, A.: An affine arithmetic based method for voltage stability assessment of power systems with intermittent generation sources. IEEE Trans. Power Syst. 28(4), 4475–4487 (2013)CrossRef Muńoz, J., Cańizares, C., Bhattacharya, K., Vaccaro, A.: An affine arithmetic based method for voltage stability assessment of power systems with intermittent generation sources. IEEE Trans. Power Syst. 28(4), 4475–4487 (2013)CrossRef
4.
go back to reference Dimitrovski, A., Tomsovic, K., Vaccaro, A.: Reliable algorithms for power flow analysis in the presence of data uncertainties. In Proceedings, Innovations in Power Systems Reliability, pp. 329–357. Springer, London (2011) Dimitrovski, A., Tomsovic, K., Vaccaro, A.: Reliable algorithms for power flow analysis in the presence of data uncertainties. In Proceedings, Innovations in Power Systems Reliability, pp. 329–357. Springer, London (2011)
5.
go back to reference Pirnia, M., Canizares, C.A., Bhattacharya, K., Vaccaro, A.: A novel affine arithmetic method to solve optimal power flow problems with uncertainties. IEEE Trans. Power Syst. 29(6), 2775–2783 (2014)CrossRef Pirnia, M., Canizares, C.A., Bhattacharya, K., Vaccaro, A.: A novel affine arithmetic method to solve optimal power flow problems with uncertainties. IEEE Trans. Power Syst. 29(6), 2775–2783 (2014)CrossRef
6.
go back to reference Gu, W., Luo, L., Ding, T., Meng, X., Sheng, W.: An affine arithmetic-based algorithm for radial distribution system power flow with uncertainties. Int. J. Electr. Power Energy Syst. 58, 242–245 (2014)CrossRef Gu, W., Luo, L., Ding, T., Meng, X., Sheng, W.: An affine arithmetic-based algorithm for radial distribution system power flow with uncertainties. Int. J. Electr. Power Energy Syst. 58, 242–245 (2014)CrossRef
7.
go back to reference Stolfi, J., De Figueiredo, L.H.: An Introduction to affine arithmetic. Trends Appl. Comput. Math. 4(3), 297–312 (2003)MathSciNetMATH Stolfi, J., De Figueiredo, L.H.: An Introduction to affine arithmetic. Trends Appl. Comput. Math. 4(3), 297–312 (2003)MathSciNetMATH
8.
go back to reference De Figueiredo, L.H., Stolfi, J.: Affine arithmetic: concepts and applications, vol. 37, pp. 147–158. Kluwer Academic Publisher, Netherlands (2004) De Figueiredo, L.H., Stolfi, J.: Affine arithmetic: concepts and applications, vol. 37, pp. 147–158. Kluwer Academic Publisher, Netherlands (2004)
9.
go back to reference Fermia, N., Spagnuolo, G.: True worst-case circuit tolerance analysis using genetic algorithms and affine arithmetic. IEEE Trans. Circ. Syst. Fundam. Theory Appl. 47(9), 1285–1296 (2000)MathSciNetCrossRefMATH Fermia, N., Spagnuolo, G.: True worst-case circuit tolerance analysis using genetic algorithms and affine arithmetic. IEEE Trans. Circ. Syst. Fundam. Theory Appl. 47(9), 1285–1296 (2000)MathSciNetCrossRefMATH
10.
go back to reference Abebe, Y.M., Rao, P.M.: Overhead transmission line sag, tension and length calculation using affine arithmetic. In: IEEE Power, Communication and Information Technology Conference (PCITC), pp. 211–216 (2015) Abebe, Y.M., Rao, P.M.: Overhead transmission line sag, tension and length calculation using affine arithmetic. In: IEEE Power, Communication and Information Technology Conference (PCITC), pp. 211–216 (2015)
11.
go back to reference Zhang, C., Chen, H., Ngan, H., Yang, P., Hua, D.: A mixed interval power flow analysis under rectangular and polar coordinate system. IEEE Trans. Power Syst. 1–1 (2016) Zhang, C., Chen, H., Ngan, H., Yang, P., Hua, D.: A mixed interval power flow analysis under rectangular and polar coordinate system. IEEE Trans. Power Syst. 1–1 (2016)
12.
go back to reference Aghatehrani, R., Kavasseri, R.: Reactive power management of a DFIG wind system in microgrids based on voltage sensitivity analysis. Trans. Sustainable Energy 2, 451–458 (2011)CrossRef Aghatehrani, R., Kavasseri, R.: Reactive power management of a DFIG wind system in microgrids based on voltage sensitivity analysis. Trans. Sustainable Energy 2, 451–458 (2011)CrossRef
Metadata
Title
Finding the Initial Variables for Affine Arithmetic-Based Power Flow Analysis
Authors
Yoseph Mekonnen Abebe
P. Mallikarjuna Rao
M. Gopichand Naik
Copyright Year
2018
Publisher
Springer Singapore
DOI
https://doi.org/10.1007/978-981-10-4394-9_15