Bifurcation Analysis in an Interrupted Dynamical System with State Dependent Input
This paper addresses the first step to investigate the bifurcation phenomena observed in the current-controlled DC-DC converter with thermoelectric module, and therefore we propose a simple interrupted dynamical system which simulates dynamic behavior of the DC-DC converter with thermoelectric modul...
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Veröffentlicht in: | Shisutemu Seigyo Jouhou Gakkai rombunshi Control and Information Engineers, 2020/01/15, Vol.33(1), pp.24-30 |
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container_title | Shisutemu Seigyo Jouhou Gakkai rombunshi |
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creator | Uchino, Shota Maeda, Yoshiki Iida, Tsutomu Ohtagaki, Hirokazu Kousaka, Takuji Asahara, Hiroyuki |
description | This paper addresses the first step to investigate the bifurcation phenomena observed in the current-controlled DC-DC converter with thermoelectric module, and therefore we propose a simple interrupted dynamical system which simulates dynamic behavior of the DC-DC converter with thermoelectric module in nature. The dynamic behavior of the proposed system can be described by one dimensional topology, and therefore, we can define the return map. By using the return map, the rigorous bifurcation analysis can be possible. Because the proposed system simulates dynamic behavior of the converter, the clarified circuit fundamental characteristics are applicable to the converters in nature. First, we show an interrupted electric circuit with state dependent input that simulates the switching operation of a current-controlled DC-DC converter with a thermoelectric power generation module as a power supply. Next, we define the return map for analyzing bifurcation phenomena observed in the circuit. Finally, the bifurcation phenomena occurring in the circuit are observed using the return map, and the qualitative properties of this circuit are clarified. |
doi_str_mv | 10.5687/iscie.33.24 |
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The dynamic behavior of the proposed system can be described by one dimensional topology, and therefore, we can define the return map. By using the return map, the rigorous bifurcation analysis can be possible. Because the proposed system simulates dynamic behavior of the converter, the clarified circuit fundamental characteristics are applicable to the converters in nature. First, we show an interrupted electric circuit with state dependent input that simulates the switching operation of a current-controlled DC-DC converter with a thermoelectric power generation module as a power supply. Next, we define the return map for analyzing bifurcation phenomena observed in the circuit. Finally, the bifurcation phenomena occurring in the circuit are observed using the return map, and the qualitative properties of this circuit are clarified.</description><identifier>ISSN: 1342-5668</identifier><identifier>EISSN: 2185-811X</identifier><identifier>DOI: 10.5687/iscie.33.24</identifier><language>eng</language><publisher>Kyoto: THE INSTITUTE OF SYSTEMS, CONTROL AND INFORMATION ENGINEERS (ISCIE)</publisher><subject>bifurcation ; Bifurcations ; Circuits ; Converters ; DC-DC converter ; Direct current ; Dynamical systems ; Electric power supplies ; interrupted system ; Modules ; return map ; Simulation ; Thermoelectric power generation ; Thermoelectricity ; Topology ; Voltage converters (DC to DC)</subject><ispartof>Transactions of the Institute of Systems, Control and Information Engineers, 2020/01/15, Vol.33(1), pp.24-30</ispartof><rights>2020 The Institute of Systems, Control and Information Engineers</rights><rights>Copyright Japan Science and Technology Agency 2020</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c2224-f1c777d4e0e7f0780574813d79ae24165e09445869dfea63ad79574b86759e103</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>315,781,785,1884,27929,27930</link.rule.ids></links><search><creatorcontrib>Uchino, Shota</creatorcontrib><creatorcontrib>Maeda, Yoshiki</creatorcontrib><creatorcontrib>Iida, Tsutomu</creatorcontrib><creatorcontrib>Ohtagaki, Hirokazu</creatorcontrib><creatorcontrib>Kousaka, Takuji</creatorcontrib><creatorcontrib>Asahara, Hiroyuki</creatorcontrib><title>Bifurcation Analysis in an Interrupted Dynamical System with State Dependent Input</title><title>Shisutemu Seigyo Jouhou Gakkai rombunshi</title><addtitle>Transactions of the Institute of Systems, Control and Information Engineers</addtitle><description>This paper addresses the first step to investigate the bifurcation phenomena observed in the current-controlled DC-DC converter with thermoelectric module, and therefore we propose a simple interrupted dynamical system which simulates dynamic behavior of the DC-DC converter with thermoelectric module in nature. The dynamic behavior of the proposed system can be described by one dimensional topology, and therefore, we can define the return map. By using the return map, the rigorous bifurcation analysis can be possible. Because the proposed system simulates dynamic behavior of the converter, the clarified circuit fundamental characteristics are applicable to the converters in nature. First, we show an interrupted electric circuit with state dependent input that simulates the switching operation of a current-controlled DC-DC converter with a thermoelectric power generation module as a power supply. Next, we define the return map for analyzing bifurcation phenomena observed in the circuit. Finally, the bifurcation phenomena occurring in the circuit are observed using the return map, and the qualitative properties of this circuit are clarified.</description><subject>bifurcation</subject><subject>Bifurcations</subject><subject>Circuits</subject><subject>Converters</subject><subject>DC-DC converter</subject><subject>Direct current</subject><subject>Dynamical systems</subject><subject>Electric power supplies</subject><subject>interrupted system</subject><subject>Modules</subject><subject>return map</subject><subject>Simulation</subject><subject>Thermoelectric power generation</subject><subject>Thermoelectricity</subject><subject>Topology</subject><subject>Voltage converters (DC to DC)</subject><issn>1342-5668</issn><issn>2185-811X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNpF0F1LwzAUBuAgCo65K_9AwEvpzFeb9EaYmx-DgeAUvAtZe-oyuqwmKdJ_b7Uyr87F-7wHzkHokpJpmil5Y0NhYcr5lIkTNGJUpYmi9P0UjSgXLEmzTJ2jSQh2QziVglKejtDLna1aX5hoDw7PnKm7YAO2DhuHly6C920TocSLzpm9LUyN112IsMdfNm7xOpoIeAENuBJc7BtNGy_QWWXqAJO_OUZvD_ev86dk9fy4nM9WScEYE0lFCyllKYCArIhUJJVCUV7K3AATNEuB5EKkKsvLCkzGTZ_0ZKMymeZACR-jq2Fv4w-fLYSod4fW9ycEzXguciplpnp1PajCH0LwUOnG273xnaZE__xN__5Nc66Z6PXtoHchmg84WuOjLWr4t3QoHINia7wGx78BN9B3NA</recordid><startdate>20200115</startdate><enddate>20200115</enddate><creator>Uchino, Shota</creator><creator>Maeda, Yoshiki</creator><creator>Iida, Tsutomu</creator><creator>Ohtagaki, Hirokazu</creator><creator>Kousaka, Takuji</creator><creator>Asahara, Hiroyuki</creator><general>THE INSTITUTE OF SYSTEMS, CONTROL AND INFORMATION ENGINEERS (ISCIE)</general><general>Japan Science and Technology Agency</general><scope>AAYXX</scope><scope>CITATION</scope><scope>JQ2</scope></search><sort><creationdate>20200115</creationdate><title>Bifurcation Analysis in an Interrupted Dynamical System with State Dependent Input</title><author>Uchino, Shota ; Maeda, Yoshiki ; Iida, Tsutomu ; Ohtagaki, Hirokazu ; Kousaka, Takuji ; Asahara, Hiroyuki</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c2224-f1c777d4e0e7f0780574813d79ae24165e09445869dfea63ad79574b86759e103</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>bifurcation</topic><topic>Bifurcations</topic><topic>Circuits</topic><topic>Converters</topic><topic>DC-DC converter</topic><topic>Direct current</topic><topic>Dynamical systems</topic><topic>Electric power supplies</topic><topic>interrupted system</topic><topic>Modules</topic><topic>return map</topic><topic>Simulation</topic><topic>Thermoelectric power generation</topic><topic>Thermoelectricity</topic><topic>Topology</topic><topic>Voltage converters (DC to DC)</topic><toplevel>online_resources</toplevel><creatorcontrib>Uchino, Shota</creatorcontrib><creatorcontrib>Maeda, Yoshiki</creatorcontrib><creatorcontrib>Iida, Tsutomu</creatorcontrib><creatorcontrib>Ohtagaki, Hirokazu</creatorcontrib><creatorcontrib>Kousaka, Takuji</creatorcontrib><creatorcontrib>Asahara, Hiroyuki</creatorcontrib><collection>CrossRef</collection><collection>ProQuest Computer Science Collection</collection><jtitle>Shisutemu Seigyo Jouhou Gakkai rombunshi</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Uchino, Shota</au><au>Maeda, Yoshiki</au><au>Iida, Tsutomu</au><au>Ohtagaki, Hirokazu</au><au>Kousaka, Takuji</au><au>Asahara, Hiroyuki</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Bifurcation Analysis in an Interrupted Dynamical System with State Dependent Input</atitle><jtitle>Shisutemu Seigyo Jouhou Gakkai rombunshi</jtitle><addtitle>Transactions of the Institute of Systems, Control and Information Engineers</addtitle><date>2020-01-15</date><risdate>2020</risdate><volume>33</volume><issue>1</issue><spage>24</spage><epage>30</epage><pages>24-30</pages><issn>1342-5668</issn><eissn>2185-811X</eissn><abstract>This paper addresses the first step to investigate the bifurcation phenomena observed in the current-controlled DC-DC converter with thermoelectric module, and therefore we propose a simple interrupted dynamical system which simulates dynamic behavior of the DC-DC converter with thermoelectric module in nature. The dynamic behavior of the proposed system can be described by one dimensional topology, and therefore, we can define the return map. By using the return map, the rigorous bifurcation analysis can be possible. Because the proposed system simulates dynamic behavior of the converter, the clarified circuit fundamental characteristics are applicable to the converters in nature. First, we show an interrupted electric circuit with state dependent input that simulates the switching operation of a current-controlled DC-DC converter with a thermoelectric power generation module as a power supply. Next, we define the return map for analyzing bifurcation phenomena observed in the circuit. Finally, the bifurcation phenomena occurring in the circuit are observed using the return map, and the qualitative properties of this circuit are clarified.</abstract><cop>Kyoto</cop><pub>THE INSTITUTE OF SYSTEMS, CONTROL AND INFORMATION ENGINEERS (ISCIE)</pub><doi>10.5687/iscie.33.24</doi><tpages>7</tpages><oa>free_for_read</oa></addata></record> |
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subjects | bifurcation Bifurcations Circuits Converters DC-DC converter Direct current Dynamical systems Electric power supplies interrupted system Modules return map Simulation Thermoelectric power generation Thermoelectricity Topology Voltage converters (DC to DC) |
title | Bifurcation Analysis in an Interrupted Dynamical System with State Dependent Input |
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