×

zbMATH — the first resource for mathematics

Power flow control of a doubly-fed induction machine coupled to a flywheel. (English) Zbl 1293.93675
Summary: We consider a doubly-fed induction machine – controlled through the rotor voltage and connected to a variable local load – that acts as an energy-switching device between a local prime mover (a flywheel) and the electrical power network. The control objective is to optimally regulate the power flow, and this is achieved by commuting between different steady-state regimes. We first show that the zero dynamics of the system is only marginally stable; thus, complicating its control via feedback linearization. Instead, we apply the energy-based Interconnection and Damping Assignment Passivity-Based Control technique that does not require stable invertibility. It is shown that the partial differential equation that appears in this method can be circumvented by fixing the desired closed-loop total energy and adding new terms to the interconnection structure. Furthermore, to obtain a globally defined control law we introduce a state-dependent damping term that has the nice interpretation of effectively decoupling the electrical and mechanical parts of the system. This results in a globally convergent controller parameterized by two degrees of freedom, which can be used to implement the power management policy. The controller is simulated and shown to work satisfactorily for various realistic load changes.

MSC:
93D99 Stability of control systems
93C20 Control/observation systems governed by partial differential equations
Software:
20SIM
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] 20sim modeling and simulation software. Available on www.20sim.com.
[2] Akagi, H.; Sato, H., Control and performance of a doublyfed induction machine intended for a flywheel energy storage system, IEEE trans power elect, 17, 109-116, (2002)
[3] Caratozzolo P. Nonlinear control strategies of an isolated motion system with a double-fed induction generator. PhD Thesis, Universitat Politècnica de Catalunya, 2003
[4] Dalsmo, M.; van der Schaft, A., On representations and integrability of mathematical structures in energyconserving physical systems, SIAM J control optim, 37, 54-91, (1998) · Zbl 0920.93019
[5] Fujimoto, K.; Sugie, T., Canonical transformations and stabilization of generalized Hamiltonian systems, Syst control lett, 42, 3, 217-227, (2001) · Zbl 1032.93007
[6] Krause, P.C., Analysis of electric machinery, (1986), McGraw-Hill New York
[7] Kugi, A., Non-linear control based on physical models, (2001), Springer Berlin · Zbl 0965.93003
[8] Leonhard, W., Control of electric drives, (1995), Springer Berlin
[9] Ortega, R.; Loria, A.; Nicklasson, P.J.; Sira-Ramirez, H., Passivity-based control of Euler-Lagrange systems, Communications and control engineering, (1998), Spring-Verlag Berlin, Germany, Springer, Berlin
[10] Ortega, R.; van der Schaft, A.; Maschke, B.; Escobar, G., Interconnection and damping assignment passivitybased control of port-controlled Hamiltonian systems, Automatica, 38, 585-596, (2000) · Zbl 1009.93063
[11] Peña, R.; Clare, J.C.; Asher, G.M., Doubly fed induction generator using back-to-back PWM converters and its application to variable speed wind-energy generation, IEE proc electric power appl, 143, 231-241, (1996)
[12] Rodríguez, H.; Ortega, R., Stabilization of electromechanical systems via interconnection and damping assignment, Int J robust nonlinear control, 13, 1095-1111, (2003) · Zbl 1071.93036
[13] Slootweg, J.G.; Polinder, H.; Kling, W.L., Dynamic modelling of a wind turbine with doubly fed induction generator, (), 644-649
[14] Sontag, E.D., On stability of perturbed asymptotically stable systems, IEEE trans autom control, 48, 2, 313-314, (2003) · Zbl 1364.93736
[15] Peresada, S.; Tilli, A.; Tonielli, A., Power control of a doubly fed induction machine via output feedback, Control eng practice, 12, 41-57, (2004)
[16] van der Schaft, A., L2 gain and passivity techniques in nonlinear control, (2000), Springer Berlin · Zbl 0937.93020
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.