Título:
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On existence and stability of equilibria of dc LTI circuits with constant power loads
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Autor/a:
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Barabanov, Nikita; Ortega, Romeo; Griñó Cubero, Robert; Polyak, Boris
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Otros autores:
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Universitat Politècnica de Catalunya. Departament d'Enginyeria de Sistemes, Automàtica i Informàtica Industrial; Universitat Politècnica de Catalunya. ACES - Control Avançat de Sistemes d'Energia |
Abstract:
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Abstract:
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This paper studies the problem of existence and stability of equilibria of dc linear time–invariant circuits with constant power loads. First, we correct an unfortunate mistake in our previous work [10] pertaining to the sufficiency of the condition for existence of equilibria in multiport systems given there. Second, we give two necessary conditions for existence
of equilibria. The first one is a simple linear matrix inequality hence it can be easily verified with existing software. Third, we prove that the latter condition is also sufficient if a set defined by the problem data is convex, which is the case for single and two–port systems. Finally, sufficient conditions for stability and instability for a given equilibrium point are given. The results are illustrated with two benchmark examples |
Abstract:
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Materia(s):
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-Àrees temàtiques de la UPC::Enginyeria elèctrica -Electric power system -- Stability -Sistemes de distribució d'energia elèctrica -- Estabilitat |
Derechos:
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http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
Tipo de documento:
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Objeto de conferencia |
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