Energy-Based Control of Power Electronic Converters
This chapter aims at presenting basic ideas and main insights of the energy-based control approach for power electronic converters. Thus, two control methods based on concepts of energy will be here detailed: the so-called stabilizing control – based upon
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Energy-Based Control of Power Electronic Converters
This chapter aims at presenting basic ideas and main insights of the energy-based control approach for power electronic converters. Thus, two control methods based on concepts of energy will be here detailed: the so-called stabilizing control – based upon Lyapunov control design methods – and passivity-based control, relying upon specific structural properties – for example, passivity and dissipativity – and on control methods that exploit these properties. As is true for most engineering systems, power electronic converter modeling is closely related to control objectives. In this case, it is energy processing that must be described in terms of power flows, and this turns out to be a natural representation of the underlying phenomena. Further, the mathematical developments involved make use of some remarkable properties of these systems. The essence of energy-based control consists in taking advantage of the fact that power electronic converters reach their steady-state operation by dissipating energy, that is, in controlling the speed of this dissipation (Stankovic´ et al. 2001). The concept of incremental energy (Sanders 1989) is crucial for designing control laws for DC-DC converters in a comprehensive manner; this is why buckboost and boost DC-DC converters serve in this chapter as benchmarks. But the energy-based control is not effective for DC-DC converters only; applications of the same general methodology to converters having AC stages (Komurcugil and Kukrer 1998; Escobar et al. 2001; Mattavelli et al. 2001), as well as to multilevel converters (Liserre 2006; Noriega-Pineda and Espinosa-Pe´rez 2007) have also been reported. This chapter begins by introducing some basic concepts specific to the energybased control approach. Stabilizing control is detailed in the nonlinear case, then in the linearized one and illustrated with an example. Next, modeling of power electronic converters in the Euler–Lagrange formalism is presented, with emphasis on the passivity property. The use of this property gives its name to the passivitybased control approach detailed further. After providing a general design methodology, the necessity of on-line parameter estimation is considered, which leads to adaptive versions of the general control algorithm. The buck-boost converter has been chosen as a case study to illustrate the passivity-based control approach. S. Bacha et al., Power Electronic Converters Modeling and Control: with Case Studies, 337 Advanced Textbooks in Control and Signal Processing, DOI 10.1007/978-1-4471-5478-5_12, © Springer-Verlag London 2014
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Energy-Based Control of Power Electronic Converters
Connections between energy-based control methods and other nonlinear control approaches are briefly reviewed. A set of problems with solutions and some unsolved problems are provided at the end of this chapter.
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Basic Definitions
Some basic notions will be here briefly reviewed, which are related to formalization of systems’ fundamental property o
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