Analysis of Unstable Operation in a Basic Delta Modulator for PWM Control
Summary :
This paper studies dynamics of a delta modulator for PWM control. In order to analyze the circuit dynamics we derive a one-dimensional return map of switching time. The map is equivalent to a circle map in wide parameter region and its nonperiodic behavior corresponds to undesired asynchronous operation of the circuit. We then present a simple stabilization method of the system operations by means of periodic compulsory switching. The mechanism of the stabilization is considered from viewpoints of bifurcation. Using a simple test circuit, typical operations are confirmed experimentally.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E88-A No.8 pp.2200-2205
- Publication Date
- 2005/08/01
- Publicized
- Online ISSN
- DOI
- 10.1093/ietfec/e88-a.8.2200
- Type of Manuscript
- PAPER
- Category
- Nonlinear Problems
Authors
Keyword
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Hiroshi SHIMAZU, Toshimichi SAITO, "Analysis of Unstable Operation in a Basic Delta Modulator for PWM Control" in IEICE TRANSACTIONS on Fundamentals,
vol. E88-A, no. 8, pp. 2200-2205, August 2005, doi: 10.1093/ietfec/e88-a.8.2200.
Abstract: This paper studies dynamics of a delta modulator for PWM control. In order to analyze the circuit dynamics we derive a one-dimensional return map of switching time. The map is equivalent to a circle map in wide parameter region and its nonperiodic behavior corresponds to undesired asynchronous operation of the circuit. We then present a simple stabilization method of the system operations by means of periodic compulsory switching. The mechanism of the stabilization is considered from viewpoints of bifurcation. Using a simple test circuit, typical operations are confirmed experimentally.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e88-a.8.2200/_p
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@ARTICLE{e88-a_8_2200,
author={Hiroshi SHIMAZU, Toshimichi SAITO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Analysis of Unstable Operation in a Basic Delta Modulator for PWM Control},
year={2005},
volume={E88-A},
number={8},
pages={2200-2205},
abstract={This paper studies dynamics of a delta modulator for PWM control. In order to analyze the circuit dynamics we derive a one-dimensional return map of switching time. The map is equivalent to a circle map in wide parameter region and its nonperiodic behavior corresponds to undesired asynchronous operation of the circuit. We then present a simple stabilization method of the system operations by means of periodic compulsory switching. The mechanism of the stabilization is considered from viewpoints of bifurcation. Using a simple test circuit, typical operations are confirmed experimentally.},
keywords={},
doi={10.1093/ietfec/e88-a.8.2200},
ISSN={},
month={August},}
Copy
TY - JOUR
TI - Analysis of Unstable Operation in a Basic Delta Modulator for PWM Control
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2200
EP - 2205
AU - Hiroshi SHIMAZU
AU - Toshimichi SAITO
PY - 2005
DO - 10.1093/ietfec/e88-a.8.2200
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E88-A
IS - 8
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - August 2005
AB - This paper studies dynamics of a delta modulator for PWM control. In order to analyze the circuit dynamics we derive a one-dimensional return map of switching time. The map is equivalent to a circle map in wide parameter region and its nonperiodic behavior corresponds to undesired asynchronous operation of the circuit. We then present a simple stabilization method of the system operations by means of periodic compulsory switching. The mechanism of the stabilization is considered from viewpoints of bifurcation. Using a simple test circuit, typical operations are confirmed experimentally.
ER -
English
