A new multilevel PWM method: a theoretical analysis

Carrara, Giuseppe Raffaello; Gardella, S.; Marchesoni, M.; Salutari, R.; Sciutto, G.

doi:10.1109/63.145137

Cited by 926 publications

(163 citation statements)

References 8 publications

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“…In the present section, we consider a concrete example in the form of a multilevel pulse-width modulated dc-dc buck converter, [53][54][55][56][57][58] and experimentally confirm that the phenomena observed for the piecewise linear normal form map ͑1͒ actually occur in practical systems. More concretely, we present the first experimental observation of the transition from periodicity to quasiperiodicity through a bordercollision bifurcation.…”

Section: Experimental Confirmationmentioning

confidence: 99%

Border collision route to quasiperiodicity: Numerical investigation and experimental confirmation

Zhusubaliyev

Mosekilde

Maity

et al. 2006

Chaos: An Interdisciplinary Journal of Nonlinear Science

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Numerical studies of higher-dimensional piecewise-smooth systems have recently shown how a torus can arise from a periodic cycle through a special type of border-collision bifurcation. The present article investigates this new route to quasiperiodicity in the two-dimensional piecewiselinear normal form map. We have obtained the chart of the dynamical modes for this map and showed that border-collision bifurcations can lead to the birth of a stable closed invariant curve associated with quasiperiodic or periodic dynamics. In the parameter regions leading to the existence of an invariant closed curve, there may be transitions between an ergodic torus and a resonance torus, but the mechanism of creation for the resonance tongues is distinctly different from that observed in smooth maps. The transition from a stable focus point to a resonance torus may lead directly to a new focus of higher periodicity, e.g., a period-5 focus. This article also contains a discussion of torus destruction via a homoclinic bifurcation in the piecewise-linear normal map. Using a dc-dc converter with two-level control as an example, we report the first experimental verification of the direct transition to quasiperiodicity through a border-collision bifurcation. Application of nonlinear dynamics and chaos theory in practice, particularly in engineering, often leads to the analysis of piecewise-smooth systems. Low-dimensional models of such systems have shown that they can exhibit behavioral transitions, referred to as border-collision bifurcations, that are qualitatively different from the bifurcations we know for smooth dynamical systems. In particular, these bifurcations can produce direct transitions from periodicity to chaos or, for instance, from period-2 to period-3 dynamics. The purpose of this article is to show that torus birth bifurcations (transitions to quasiperiodicity) can also occur via border-collision bifurcations. In this case a pair of complex conjugate Floquet multipliers jump from the inside to the outside of the unit circle. We also examine the border-collision bifurcations through which the ergodic torus is transformed into a resonance torus. Torus destruction represents one of the most complicated routes to chaos, and the possible mechanisms for torus destruction in nonsmooth systems have not yet been examined in detail. A second purpose of the present article is to initiate this analysis. Finally, we illustrate our results through a practical example from power electronics and present the first experimental verification of torus birth via a border-collision bifurcation.

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Section: Experimental Confirmationmentioning

confidence: 99%

Border collision route to quasiperiodicity: Numerical investigation and experimental confirmation

Zhusubaliyev

Mosekilde

Maity

et al. 2006

Chaos: An Interdisciplinary Journal of Nonlinear Science

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show abstract

“…when all the positive carriers are in phase with each other and in phase opposition with the negative carriers, the method is known as phase opposition disposition (POD-PWM). Finally, the alternate phase opposition disposition method (APOD-PWM) is obtained by having opposite phase for each two adjacent carriers [28]. In the three-level case, POD-PWM and APOD-PWM are identical, Fig.…”

Section: A Carrier-based Modulationmentioning

confidence: 99%

PWM Algorithms for Multilevel Inverter Supplied Multiphase Variable-Speed Drives

Jones¹,

Dordevic²,

Bodo³

et al. 2012

ELS

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Abstract-Multiphase variable speed drives are nowadays regarded as serious contenders for various applications, due to the certain advantages that they possess when compared to threephase drives. On the other hand, the multilevel (predominantly three-level) voltage source inverter (VSI) has become an industrially accepted technology for medium-voltage three-phase drives. The logical next step is to integrate multilevel VSI and multiphase drive technologies, since benefits of each can then be combined. This paper will review recent advances in this area. Two different topologies of the multiphase supply will be considered and the emphasis will be placed on appropriate pulse width modulation (PWM) techniques that can be used in conjunction with the supply structure. The first topology utilises multilevel (three-level) VSI and the machine's stator multiphase winding is star-connected with an isolated neutral point. In the second topology the winding is left open-ended and each side of the winding is connected to an isolated two-level VSI. This topology can also achieve three-level operation. Carrier-based and space vector based PWM strategies are considered and the obtainable performance is illustrated using experimental results.

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“…Thus the switching times of the active space vectors can be determined from the sampled sinusoidal reference signal amplitudes in a two-level inverter system [10]. The SPWM scheme, for eleven-level inverter, sinusoidal reference signals are compared with symmetrical level shifted ten triangular carrier signals for PWM generation [11]. (Fig.4), the first crossing (termed as first_cross) of the sinusoidal reference signal cannot always be the minimum magnitude of the three sampled sinusoidal reference signals, in a sampling time interval.…”

Section: Effect Of Common-mode Voltage In Space Vector Locationsmentioning

confidence: 99%

“…The SPWM scheme, when applied to multilevel inverters, uses a number of level-shifted carrier signals to compare with the sinusoidal reference signals [11]. The SVPWM for multilevel inverters [12], [13] involves mapping of the outer sectors to an inner subhexagon sector, to determine the switching time interval, for various space vectors.…”

Section: Introductionmentioning

confidence: 99%

A Refined Space Vector PWM Signal Generation for Eleven-level Inverter

Rao¹,

Sekhar²

2011

IJCEE

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Abstract-A refined space vector modulation scheme for an eleven-level inverter system for dual-fed induction motor drive, using only the instantaneous sampled reference signals is presented in this paper. The dual-fed structure is realized by opening the neutral-point of the conventional squirrel cage induction motor. The eleven-level inversion is obtained by feeding the dual-fed induction motor with asymmetrical four-level inverter from one end and symmetrical three-level inverter from other end. The proposed space vector pulse width modulation technique does not require the sector information and look-up tables to select the appropriate switching vectors. The inverter leg switching times are directly obtained from the instantaneous sampled reference signal amplitudes and centers the switching times for the middle space vectors in a sampling time interval, as in the case of conventional space vector pulse width modulation.Index Terms-Dual-fed induction motor, eleven-level inverter, middle space vectors, sinusoidal reference signals, space vector PWM.

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A new multilevel PWM method: a theoretical analysis

Cited by 926 publications

References 8 publications

Border collision route to quasiperiodicity: Numerical investigation and experimental confirmation

Border collision route to quasiperiodicity: Numerical investigation and experimental confirmation

PWM Algorithms for Multilevel Inverter Supplied Multiphase Variable-Speed Drives

A Refined Space Vector PWM Signal Generation for Eleven-level Inverter

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