Bifurcation Phenomena of 1/2-Subharmonic Oscillations in Three-Phase Circuit
Summary :
This paper presents the several bifurcation phenomena generated in nonlinear three-phase circuit with symmetry. The circuit consists of delta-connected nonlinear inductors, capacitors and three-phase symmetrical voltage sources. Particular attention is paid to the subharmonic oscillations of order 1/2. We analyze the bifurcations of the oscillations from both theoretical and experimental points. As a tool of analysis, we use the homotopy method. Additionally, by comparing with single-phase and single-phase-like circuits, the special feature of the three-phase circuit is revealed.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E82-A No.9 pp.1919-1925
- Publication Date
- 1999/09/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- PAPER
- Category
- Nonlinear Problems
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Takashi HISAKADO, Kohshi OKUMURA, "Bifurcation Phenomena of 1/2-Subharmonic Oscillations in Three-Phase Circuit" in IEICE TRANSACTIONS on Fundamentals,
vol. E82-A, no. 9, pp. 1919-1925, September 1999, doi: .
Abstract: This paper presents the several bifurcation phenomena generated in nonlinear three-phase circuit with symmetry. The circuit consists of delta-connected nonlinear inductors, capacitors and three-phase symmetrical voltage sources. Particular attention is paid to the subharmonic oscillations of order 1/2. We analyze the bifurcations of the oscillations from both theoretical and experimental points. As a tool of analysis, we use the homotopy method. Additionally, by comparing with single-phase and single-phase-like circuits, the special feature of the three-phase circuit is revealed.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e82-a_9_1919/_p
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@ARTICLE{e82-a_9_1919,
author={Takashi HISAKADO, Kohshi OKUMURA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Bifurcation Phenomena of 1/2-Subharmonic Oscillations in Three-Phase Circuit},
year={1999},
volume={E82-A},
number={9},
pages={1919-1925},
abstract={This paper presents the several bifurcation phenomena generated in nonlinear three-phase circuit with symmetry. The circuit consists of delta-connected nonlinear inductors, capacitors and three-phase symmetrical voltage sources. Particular attention is paid to the subharmonic oscillations of order 1/2. We analyze the bifurcations of the oscillations from both theoretical and experimental points. As a tool of analysis, we use the homotopy method. Additionally, by comparing with single-phase and single-phase-like circuits, the special feature of the three-phase circuit is revealed.},
keywords={},
doi={},
ISSN={},
month={September},}
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TY - JOUR
TI - Bifurcation Phenomena of 1/2-Subharmonic Oscillations in Three-Phase Circuit
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1919
EP - 1925
AU - Takashi HISAKADO
AU - Kohshi OKUMURA
PY - 1999
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E82-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 1999
AB - This paper presents the several bifurcation phenomena generated in nonlinear three-phase circuit with symmetry. The circuit consists of delta-connected nonlinear inductors, capacitors and three-phase symmetrical voltage sources. Particular attention is paid to the subharmonic oscillations of order 1/2. We analyze the bifurcations of the oscillations from both theoretical and experimental points. As a tool of analysis, we use the homotopy method. Additionally, by comparing with single-phase and single-phase-like circuits, the special feature of the three-phase circuit is revealed.
ER -
English
