Abstract
This chapter describes numerical integration methods for transient stability analysis. Section 8.1 provides a qualitative justification of the need for numerical integration and describes intrinsic limitations of Lyapunov’s direct method. Section 8.2 describes two common models for time domain analysis, namely the current-injection and the power-injection models. Section 8.3 outlines a variety of explicit and implicit numerical methods, paying particular attention to the accuracy and the stability of these methods. Section 8.4 provides a complete numerical integration routine and discusses related issues such as the choice of the step length, disturbances and stop criteria, including the SIME method. Sections 8.5 and 8.6 briefly describes numerical methods for electro-magnetic as well as long-term transients, respectively. Finally Section 8.7 summarizes most relevant concepts given in this Chapter.
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© 2010 Springer-Verlag Berlin Heidelberg
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Milano, F. (2010). Time Domain Analysis. In: Power System Modelling and Scripting. Power Systems, vol 0. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13669-6_8
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DOI: https://doi.org/10.1007/978-3-642-13669-6_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-13668-9
Online ISBN: 978-3-642-13669-6
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