Abstract
Power systems dynamics is represented by coupled equations and influenced by several elements. Most of these elements exhibit nonlinear behavior, and hence, computational efforts required for solving these coupled nonlinear equations are expensive. To simplify computational efforts, reduced-order model can be used. This reduced-order model is formulated by projecting a large-dimensional state vector onto a small-dimensional subspace spanned by an orthonormal basis which is conventionally obtained through a technique, called proper orthogonal decomposition (POD). However, this technique involves simulation of the high-dimensional nonlinear system to obtain the orthonormal basis for the projection. In this paper, we have presented an improvement of POD technique with the approximate snapshot ensemble bases extraction to avoid the need to simulate full-order dynamics of the large power grid network. The POD basis is generated from approximate trajectory which reduces simulation time with insignificant or no error in the employed model.
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References
P.C. Magnusson, The transient-energy method of calculating stability. Trans. Am. Inst. Electr. Eng. 66(1), 747–755 (1947)
D. Harutyunyan, R. Ionutiu, E.J.W. ter Maten, J. Rommes, W.H. Schilders, M. Striebel, Advanced topics in model order reduction, in Coupled Multiscale Simulation and Optimization in Nanoelectronics (Springer, Berlin, 2015), pp. 361–432
W.H. Schilders, H.A. Van der Vorst, J. Rommes, Model Order Reduction: Theory, Research Aspects and Applications, vol. 13 (Springer, 2008)
A. Chatterjee, An introduction to the proper orthogonal decomposition. Curr. Sci. 78(7), 808–817 (2000)
D. Chaniotis, M. Pai, Model reduction in power systems using krylov subspace methods. IEEE Trans. Power Syst. 20(2), 888–894 (2005)
P.A. Parrilo, S. Lall, F. Paganini, G.C. Verghese, B.C. Lesieutre, J.E. Marsden, Model reduction for analysis of cascading failures in power systems, in Proceedings of the 1999 American Control Conference, 1999 (IEEE, 1999), vol. 6, pp. 4208–4212
Y. Susuki, I. Mezić, T. Hikihara, Coherent swing instability of power grids. J. Nonlinear Sci. 21(3), 403–439 (2011)
N. Kashyap, S. Werner, T. Riihonen, Y.-F. Huang, Reduced-order synchrophasor-assisted state estimation for smart grids, in 2012 IEEE Third International Conference on Smart Grid Communications (SmartGridComm), (IEEE, 2012), pp. 605–610
A.C. Antoulas, Approximation of Large-Scale Dynamical Systems (SIAM, 2005)
T. Gonen, Modern Power System Analysis (CRC Press, 2013)
M.H. Malik, D. Borzacchiello, F. Chinesta, P. Diez, Reduced order modeling for transient simulation of power systems using trajectory piece-wise linear approximation. Adv. Model. Simul. Eng. Sci. 3(1), 31 (2016)
A.R. Bergen, Power Systems Analysis (Pearson Education India, 2009)
D.P. Kothari, I. Nagrath, et al., Modern Power System Analysis (Tata McGraw-Hill Education, 2011)
S.A. Nahvi, M.A. Bazaz, M.-U. Nabi, S. Janardhanan, Approximate snapshot-ensemble generation for basis extraction in proper orthogonal decomposition. IFAC Proc. Volumes 47(1), 917–921 (2014)
S. Singh, M.A. Bazaz, S.A. Nahvi, A scheme for comprehensive computational cost reduction in proper orthogonal decomposition. J. Electr. Eng. 69(4), 279–285 (2018)
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Singh, S., Bazaz, M.A., Nahvi, S.A. (2021). Reduced-Order Modeling of Transient Power Grid Network with Improved Basis POD. In: Gao, XZ., Tiwari, S., Trivedi, M., Mishra, K. (eds) Advances in Computational Intelligence and Communication Technology. Advances in Intelligent Systems and Computing, vol 1086. Springer, Singapore. https://doi.org/10.1007/978-981-15-1275-9_35
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DOI: https://doi.org/10.1007/978-981-15-1275-9_35
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