EPE Association: EPE-PEMC 2008 - Topic: Applications of Nonlinear Dynamics and Chaos to Power Electronics and Drives

EPE-PEMC 2008 - Topic: Applications of Nonlinear Dynamics and Chaos to Power Electronics and Drives
You are here: EPE Documents > 04 - EPE-PEMC Conference Proceedings > EPE-PEMC 2008 - Conference > EPE-PEMC 2008 - Topic: Applications of Nonlinear Dynamics and Chaos to Power Electronics and Drives

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   Bifurcations and Chaotic Dynamics in a Linear Switched Reluctance Motor
By M. R. De Castro, B. G. M. Robert and C. Goeldel [View]
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Abstract: This paper presents first computed results of a switched linear variable reluctance motor showing nonlinear phenomena as bifurcations and chaotic dynamics. Performances of two models of the motor, operating in open loop, are compared by the mean of bifurcation diagrams and Poincaré sections. The first one is a permeance model based on the flux tubes method. It is accurate but complex. The second one is simplified by using a harmonic method. The objective of this study is double. In a first time, the precise model is used to point out bifurcations and chaos. Then, qualitatively similar results obtained from the simplified model are presented to prove that non linear dynamics arise from the main non linearity of the motor and do not result from some details of motor manufacturing.

   Control of a Two-Cell dc/dc Converter in Presence of Saturating Duty Cycle
By Moez Feki [View]
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Abstract: In this work, we suggest a controller which is simple to construct to lead to zero current and zero voltage static error in the behavior of a two-cell dc/dc buck converter. Using nonlinear analysis we prove that zero error is achieved even in presence of duty cycle saturation.

   Modeling a Buck-Based Switching Amplifier for Sinusoid Wide Band Tracking by Using a Nonlinear Time Varying Map
By A. El Aroudi [View]
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Abstract: In this paper we derive a discrete time model to characterize the nonlinear dynamic behavior of a buckbased switching amplifier controlled by fixed frequency and PWM with a proportional-integral (PI) corrector. Numerical simulations show that the system can present period doubling bifurcation at the fast scale (switching frequency). As the switching frequency and the modulating frequency become closer, quasi-static approximation is not valid and the results based on it lead to erroneous conclusions about the stability of the system. We derive an exact solution discrete-time model able to predict accurately the nonlinear dynamical behavior of the system. The model is obtained without making quasi-static approximation and it can be used to obtain the useful region in the design parameter space from time domain simulations in a very fast and accurate manner.

   Single Inductor Multiple Outputs Interleaved Converters Operating in CCM
By Luis Benadero [View]
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Abstract: Feasibility of single inductor multiple outputs (SIMO) dc-dc converters, able to operate in continuousconduction mode (CCM), is shown in this paper. The power stage combines simple structures based on boost for noninverted outputs and buck-boost for inverted outputs. Individual switches associated to each of the outputs are current mode controlled through respective stages as called channels. The set of dynamical references for every channel is obtained by means of a matrix arrangement whose input is the set of signals provided by proportional-integral (PI) blocks applied to each of the input-output errors. Finally, phase-shifted (interleaved) compensating ramps are added to those references. Analysis of dynamics stability is provided by means of an averaged model and direct simulation.

EPE-PEMC 2008 - Topic: Applications of Nonlinear Dynamics and Chaos to Power Electronics and Drives
You are here: EPE Documents > 04 - EPE-PEMC Conference Proceedings > EPE-PEMC 2008 - Conference > EPE-PEMC 2008 - Topic: Applications of Nonlinear Dynamics and Chaos to Power Electronics and Drives
	[return to parent folder]

	Bifurcations and Chaotic Dynamics in a Linear Switched Reluctance Motor By M. R. De Castro, B. G. M. Robert and C. Goeldel	[View] [Download]
Abstract: This paper presents first computed results of a switched linear variable reluctance motor showing nonlinear phenomena as bifurcations and chaotic dynamics. Performances of two models of the motor, operating in open loop, are compared by the mean of bifurcation diagrams and Poincaré sections. The first one is a permeance model based on the flux tubes method. It is accurate but complex. The second one is simplified by using a harmonic method. The objective of this study is double. In a first time, the precise model is used to point out bifurcations and chaos. Then, qualitatively similar results obtained from the simplified model are presented to prove that non linear dynamics arise from the main non linearity of the motor and do not result from some details of motor manufacturing.

	Control of a Two-Cell dc/dc Converter in Presence of Saturating Duty Cycle By Moez Feki	[View] [Download]
Abstract: In this work, we suggest a controller which is simple to construct to lead to zero current and zero voltage static error in the behavior of a two-cell dc/dc buck converter. Using nonlinear analysis we prove that zero error is achieved even in presence of duty cycle saturation.

	Modeling a Buck-Based Switching Amplifier for Sinusoid Wide Band Tracking by Using a Nonlinear Time Varying Map By A. El Aroudi	[View] [Download]
Abstract: In this paper we derive a discrete time model to characterize the nonlinear dynamic behavior of a buckbased switching amplifier controlled by fixed frequency and PWM with a proportional-integral (PI) corrector. Numerical simulations show that the system can present period doubling bifurcation at the fast scale (switching frequency). As the switching frequency and the modulating frequency become closer, quasi-static approximation is not valid and the results based on it lead to erroneous conclusions about the stability of the system. We derive an exact solution discrete-time model able to predict accurately the nonlinear dynamical behavior of the system. The model is obtained without making quasi-static approximation and it can be used to obtain the useful region in the design parameter space from time domain simulations in a very fast and accurate manner.

	Single Inductor Multiple Outputs Interleaved Converters Operating in CCM By Luis Benadero	[View] [Download]
Abstract: Feasibility of single inductor multiple outputs (SIMO) dc-dc converters, able to operate in continuousconduction mode (CCM), is shown in this paper. The power stage combines simple structures based on boost for noninverted outputs and buck-boost for inverted outputs. Individual switches associated to each of the outputs are current mode controlled through respective stages as called channels. The set of dynamical references for every channel is obtained by means of a matrix arrangement whose input is the set of signals provided by proportional-integral (PI) blocks applied to each of the input-output errors. Finally, phase-shifted (interleaved) compensating ramps are added to those references. Analysis of dynamics stability is provided by means of an averaged model and direct simulation.