On the Stability of Limit Cycles in Resonant DC-to-DC Power Converters

Victor M. Hernández; Ramón Silva; Hebertt Sira-Ramírez

On the Stability of Limit Cycles in Resonant DC-to-DC Power Converters

Victor M. Hernández, Ramón Silva, Hebertt Sira-Ramírez

Research output: Contribution to journal › Conference article › peer-review

Abstract

In this note, we use the Poincaré map to study the stability of induced limit cycles in a series resonant DCto-DC power converter. We prove global exponential stability of the unique limit cycle. We establish a means of computing a priori the voltage supplied to the load. We also study the robustness properties of the output voltage when different values of load are used. Finally, we succeed to compute the ripple voltage. Some simulation results are presented to verify our findings.

Original language	English
Pages (from-to)	1141-1146
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	2
State	Published - 2003
Externally published	Yes
Event	42nd IEEE Conference on Decision and Control - Maui, HI, United States Duration: 9 Dec 2003 → 12 Dec 2003

Keywords

Dynamical Systems
Hybrid Systems
Poincaré map
Resonant DC-to-DC Power Converters

Cite this

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title = "On the Stability of Limit Cycles in Resonant DC-to-DC Power Converters",

abstract = "In this note, we use the Poincar{\'e} map to study the stability of induced limit cycles in a series resonant DCto-DC power converter. We prove global exponential stability of the unique limit cycle. We establish a means of computing a priori the voltage supplied to the load. We also study the robustness properties of the output voltage when different values of load are used. Finally, we succeed to compute the ripple voltage. Some simulation results are presented to verify our findings.",

keywords = "Dynamical Systems, Hybrid Systems, Poincar{\'e} map, Resonant DC-to-DC Power Converters",

author = "Hern{\'a}ndez, {Victor M.} and Ram{\'o}n Silva and Hebertt Sira-Ram{\'i}rez",

year = "2003",

language = "Ingl{\'e}s",

volume = "2",

pages = "1141--1146",

journal = "Proceedings of the IEEE Conference on Decision and Control",

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publisher = "Institute of Electrical and Electronics Engineers Inc.",

note = "42nd IEEE Conference on Decision and Control ; Conference date: 09-12-2003 Through 12-12-2003",

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TY - JOUR

T1 - On the Stability of Limit Cycles in Resonant DC-to-DC Power Converters

AU - Hernández, Victor M.

AU - Silva, Ramón

AU - Sira-Ramírez, Hebertt

PY - 2003

Y1 - 2003

N2 - In this note, we use the Poincaré map to study the stability of induced limit cycles in a series resonant DCto-DC power converter. We prove global exponential stability of the unique limit cycle. We establish a means of computing a priori the voltage supplied to the load. We also study the robustness properties of the output voltage when different values of load are used. Finally, we succeed to compute the ripple voltage. Some simulation results are presented to verify our findings.

AB - In this note, we use the Poincaré map to study the stability of induced limit cycles in a series resonant DCto-DC power converter. We prove global exponential stability of the unique limit cycle. We establish a means of computing a priori the voltage supplied to the load. We also study the robustness properties of the output voltage when different values of load are used. Finally, we succeed to compute the ripple voltage. Some simulation results are presented to verify our findings.

KW - Dynamical Systems

KW - Hybrid Systems

KW - Poincaré map

KW - Resonant DC-to-DC Power Converters

UR - http://www.scopus.com/inward/record.url?scp=1542288030&partnerID=8YFLogxK

M3 - Artículo de la conferencia

AN - SCOPUS:1542288030

SN - 0743-1546

VL - 2

SP - 1141

EP - 1146

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

T2 - 42nd IEEE Conference on Decision and Control

Y2 - 9 December 2003 through 12 December 2003

ER -

On the Stability of Limit Cycles in Resonant DC-to-DC Power Converters

Abstract

Keywords

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