Control of the Boost DC-AC Converter by Energy Shaping

Albea-Sánchez, Carolina; Gordillo, Francisco; Aracil, J.

doi:10.1109/iecon.2006.347263

Cited by 16 publications

(43 citation statements)

References 6 publications

(7 reference statements)

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“…Under the assumption that a is constant and known, in (Albea et al, 2006) a nonlinear control law based on Hamiltonian approach was proposed. The design is based on the following change of coordinates:…”

Section: Problem Formulationmentioning

confidence: 99%

“…In (Albea et al, 2006) a control law was designed for system (6)-(9) in order to make the output y to oscillate as a sinusoidal signal with a given amplitude i.e.…”

Section: Problem Formulationmentioning

confidence: 99%

“…Nevertheless, the use of a boost converter prevents the achievement of zero-crossing signals and, thus, AC current was not achieved. This problem was solved in (Albea et al, 2006) with the use of a double boost converter as was proposed in (Caceres and Barbi, 1999). A phase-lock loop was necessary for the correct operation of the circuit as well as for synchronization with the electrical grid.…”

Section: Introductionmentioning

confidence: 99%

“…The control law designed in (Albea et al, 2006) does not achieve global stability due to two reasons: on one hand, the ideal control signal cannot ⋆ This research has been partially supported by the MCyT-FEDER grant DPI2006-07338.…”

Section: Introductionmentioning

confidence: 99%

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Estimation of the Region of Attraction for a Boost Dc-Ac Converter Control Law

Albea-Sánchez

Gordillo

2007

IFAC Proceedings Volumes

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Section: Problem Formulationmentioning

confidence: 99%

“…In (Albea et al, 2006) a control law was designed for system (6)-(9) in order to make the output y to oscillate as a sinusoidal signal with a given amplitude i.e.…”

Section: Problem Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Estimation of the Region of Attraction for a Boost Dc-Ac Converter Control Law

Albea-Sánchez

Gordillo

2007

IFAC Proceedings Volumes

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“…As in [9], the current reference is obtained as the output of a PI voltage controller and presents the same drawback, namely that the overall stability remains unproved. The proposals in [11,12] use an energy shaping control strategy that allows the obtention of a stable limit cycle which produces a pre-specified oscillating behavior for currents and voltages under known and unknown resistive loads, respectively. In both cases the current reference is approximated by a first harmonic signal.…”

Section: Introductionmentioning

confidence: 99%

Harmonic balance‐based control of a boost DC/AC converter

Olm

Biel

Spinetti-Rivera

et al. 2011

Circuit Theory & Apps

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SUMMARYThe achievement of step-up inversion with a boost DC/AC converter requires appropriate periodic references for inductor currents, which have to satisfy ordinary differential equations (ODE) of the Abel type. These are equations with highly unstable solutions for which the existence of periodic solutions remains unproved. Hence, the studies reported so far in this subject obtain periodic output voltages that approximately track the expected profile using different periodic current references that do not exactly satisfy the Abel ODE. However, neither an explanation of why are periodic output voltages still obtained, nor an assessment of the output voltage error is provided. This paper analyzes the effect of using periodic current references in a Lyapunov-based controlled boost DC/AC converter performing step-up inversion tasks. It is shown that, for sufficiently accurate current references, the system exhibits asymptotically stable periodic solutions with bounded error. Moreover, the paper propounds the use of Harmonic Balance (HB)-based techniques to obtain such current references. Simulation and experimental results confirm that this choice yields periodic output voltages with an error that may be lowered using higher HB approximations.

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Estimating the Attraction Domain for the Boost Inverter

Albea-Sánchez

Gordillo²

2012

Asian Journal of Control

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This work presents an approach for estimating the domain of attraction for polynomial systems with state and control‐signal constraints, including saturation. In many problems, it is possible to derive global stability properties for such systems, neglecting constraints. Consideration of the constraints usually makes the problem much more complicated. In this paper, the stability analysis performed for the unconstrained case is used for the problem as a whole. For application of the method, there are powerful computational tools that can be employed in cases of polynomial systems. The technique is not only valid for the analysis of equilibrium points, but also for other attractors, such as limit cycles. As examples, the domain of attraction for given control laws is estimated for both a nonlinear DC‐DC boost converter and for a boost inverter.

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Control of the Boost DC-AC Converter by Energy Shaping

Cited by 16 publications

References 6 publications

Estimation of the Region of Attraction for a Boost Dc-Ac Converter Control Law

Estimation of the Region of Attraction for a Boost Dc-Ac Converter Control Law

Harmonic balance‐based control of a boost DC/AC converter

Estimating the Attraction Domain for the Boost Inverter

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