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Nonlinear Analysis for the Three-Phase PLL: A New Look for a Classical Problem

dc.creatorBravo M.
dc.creatorGarcés A.
dc.creatorMontoya O.D.
dc.creatorBaier C.R.
dc.identifier.citation2018 IEEE 19th Workshop on Control and Modeling for Power Electronics, COMPEL 2018
dc.description.abstractIn this paper we investigate the dynamics of the classic synchronous reference frame phase-locked-loop (PLL) from a non-linear perspective. First, we demonstrate the nonlinear differential equations that describe the PLL under balanced conditions can be represented as a dissipative Hamiltonian system (DHS). After that, we find the equilibrium points of this system and their stability properties. Additional properties are investigated such as the attraction region, the conditions for exponential stability and the performance for small unbalances an d/or transients in the grid. Simulations results complement the theoretical analysis. We do not propose a new type of PLL, instead, we propose a non-linear analysis for the classic synchronous reference frame PLL. This analysis is useful for theoretical and practical studies since this PLL is widely used in industrial applications. In addition, it can give insights for better understanding of the dynamics of the phase-locked-loop1 1The presentation of this paper in the COMPEL2018 was partially supported by the Maestrfa en Ingeniería Eléctrica Universidad Tecnologica de Pereira. © 2018 IEEE.eng
dc.format.mediumRecurso electrónico
dc.publisherInstitute of Electrical and Electronics Engineers Inc.
dc.titleNonlinear Analysis for the Three-Phase PLL: A New Look for a Classical Problem
dcterms.bibliographicCitationGolestan, S., Guerrero, J.M., Vasquez, J.C., Three-phase plls: A review of recent advances (2017) IEEE Transactions on Power Electronics, 32 (3), pp. 1894-1907. , March
dcterms.bibliographicCitationHangmann, C., Hedayat, C., Hilleringmann, U., Stability analysis of a charge pump phase-locked loop using autonomous difference equations (2014) IEEE Transactions on Circuits and Systems I: Regular Papers, 61 (9), pp. 2569-2577. , Sept
dcterms.bibliographicCitationZhou, J.Z., Ding, H., Fan, S., Zhang, Y., Gole, A.M., Impact of short-circuit ratio and phase-locked-loop parameters on the small-signal behavior of a vsc-hvdc converter (2014) IEEE Transactions on Power Delivery, 29 (5), pp. 2287-2296. , Oct
dcterms.bibliographicCitationHarnefors, L., Wang, X., Yepes, A.G., Blaabjerg, F., Passivity-based stability assessment of grid-connected vscs hvdc an overview (2016) IEEE Journal of Emerging and Selected Topics in Power Electronics, 4 (1), pp. 116-125. , March
dcterms.bibliographicCitationFilho, R.M.S., Seixas, P.F., Cortizo, P.C., Torres, L.A.B., Souza, A.F., Comparison of three single-phase pll algorithms for ups applications (2008) IEEE Transactions on Industrial Electronics, 55 (8), pp. 2923-2932. , Aug
dcterms.bibliographicCitationOrtega, R., Schaft Der Van, A., Maschke, B., Escobar, G., Interconnection and damping assignment passivity-based control of port-controlled hamiltonian systems (2002) Automatica, 38 (4), pp. 585-596. ,
dcterms.bibliographicCitationOrtega, R., Garcia-Canseco, E., Interconnection and damping assignment passivity-based control: A survey (2004) European Journal of Control, 10 (5), pp. 432-450. ,
dcterms.bibliographicCitationKhalil, H., (2002) Nonlinear Systems, , 3rd ed. USA: Prentice Hall
dcterms.bibliographicCitationPerko, L., (2001) Differential Equations and Dynamical Systems, , 3rd ed. New York: Springer-Verlag
dc.source.event19th IEEE Workshop on Control and Modeling for Power Electronics, COMPEL 2018
dc.subject.keywordsExponential stability
dc.subject.keywordsHamiltonian systems
dc.subject.keywordsNon-linear analysis
dc.subject.keywordsPassivity-based control
dc.subject.keywordsSynchronous reference frame phase-locked-loop
dc.subject.keywordsAsymptotic stability
dc.subject.keywordsDifferential equations
dc.subject.keywordsLocks (fasteners)
dc.subject.keywordsNonlinear analysis
dc.subject.keywordsNonlinear equations
dc.subject.keywordsPower control
dc.subject.keywordsPower electronics
dc.subject.keywordsSystem stability
dc.subject.keywordsClassical problems
dc.subject.keywordsDissipative hamiltonian system
dc.subject.keywordsHamiltonian systems
dc.subject.keywordsNonlinear differential equation
dc.subject.keywordsPassivity based control
dc.subject.keywordsPhase Locked Loop (PLL)
dc.subject.keywordsStability properties
dc.subject.keywordsSynchronous reference frame
dc.subject.keywordsPhase locked loops
dc.rights.ccAtribución-NoComercial 4.0 Internacional
dc.identifier.instnameUniversidad Tecnológica de Bolívar
dc.identifier.reponameRepositorio UTB
dc.description.notes1The presentation of this paper in the COMPEL2018 was partially supported by the Maestría en Ingeniería Eléctrica Universidad Tecnologica de Pereira
dc.relation.conferencedate25 June 2018 through 28 June 2018

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