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Part of the book series: Power Systems ((POWSYS,volume 0))

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Abstract

This chapter describes various aspects of eigenvalues analysis. Section 7.1 provides the background of modal analysis using a simple one-machine infinite-bus example. Section 7.2 describes the small signal stability analysis for dynamical power systems and outlines the properties of equilibrium points, including bifurcation points commonly shown by power systems, participation factors and the Z-domain transformation. Section 7.3 describes a variety of methods for computing a reduced set of eigenvalues and introduces the singular value decomposition. Section 7.4 describes the modal analysis applied to the power flow Jacobian matrix. Finally, Section 7.5 summarizes most relevant concepts related to eigenvalue analysis.

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© 2010 Springer-Verlag Berlin Heidelberg

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Milano, F. (2010). Eigenvalue Analysis. In: Power System Modelling and Scripting. Power Systems, vol 0. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13669-6_7

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  • DOI: https://doi.org/10.1007/978-3-642-13669-6_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-13668-9

  • Online ISBN: 978-3-642-13669-6

  • eBook Packages: EngineeringEngineering (R0)

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