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A Novel Reduced Model for Electrical Networks With Constant Power Loads

Monshizadeh, N., De Persis, C., van der Schaft, A. J. & Scherpen, J. M. A., May-2018, In : IEEE Transactions on Automatic Control. 63, 5, p. 1288-1299 12 p.

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We consider a network-preserved model of power networks with proper algebraic constraints resulting from constant power loads. Both for the linear and the nonlinear differential algebraic model of the network, we derive explicit reduced models which are fully expressed in terms of ordinary differential equations. For deriving these reduced models, we introduce the "projected incidence" matrix which yields a novel decomposition of the reduced Laplacian matrix. With the help of this new matrix, we provide a complementary approach to Kron reduction, which is able to cope with constant power loads and nonlinear power flow equations.

Original languageEnglish
Pages (from-to)1288-1299
Number of pages12
JournalIEEE Transactions on Automatic Control
Volume63
Issue number5
Publication statusPublished - May-2018

    Keywords

  • Kron reduction, power networks, laplacian matrix, differential-algebraic model, STRUCTURE-PRESERVING MODEL, ISLANDED MICROGRIDS, ECONOMIC-DISPATCH, KRON REDUCTION, SYSTEMS, STABILITY, GRIDS, SYNCHRONIZATION, PERSPECTIVES, DYNAMICS

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