{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,31]],"date-time":"2026-01-31T08:54:08Z","timestamp":1769849648863,"version":"3.49.0"},"reference-count":23,"publisher":"World Scientific Pub Co Pte Lt","issue":"11","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2014,11]]},"abstract":"<jats:p> Photovoltaic (PV) systems with a battery back-up form an integral part of distributed generation systems and therefore have recently attracted a lot of interest. In this paper, we consider a system of charging a battery from a PV panel through a current mode controlled boost dc-dc converter. We analyze its complete nonlinear\/nonsmooth dynamics, using a piecewise model of the converter and realistic nonlinear v\u2013i characteristics of the PV panel. Through this study, it is revealed that system design without taking into account the nonsmooth dynamics of the converter combined with the nonlinear v\u2013i characteristics of the PV panel can lead to unpredictable responses of the overall system with high current ripple and other undesirable phenomena. This analysis can lead to better designed converters that can operate under a wide variation of the solar irradiation and the battery's state of charge. We show that the v\u2013i characteristics of the PV panel combined with the battery's output voltage variation can increase or decrease the converter's robustness, both under peak current mode control and average current mode control. We justify the observation in terms of the change in the discrete-time map caused by the nonlinear v\u2013i characteristics of the PV panel. The theoretical results are validated experimentally. <\/jats:p>","DOI":"10.1142\/s0218127414501429","type":"journal-article","created":{"date-parts":[[2014,11,28]],"date-time":"2014-11-28T16:50:32Z","timestamp":1417193432000},"page":"1450142","source":"Crossref","is-referenced-by-count":34,"title":["Nonlinear Dynamics and Bifurcation Analysis of a Boost Converter for Battery Charging in Photovoltaic Applications"],"prefix":"10.1142","volume":"24","author":[{"given":"Mohammed M.","family":"Al-Hindawi","sequence":"first","affiliation":[{"name":"Department of Electrical and Computer Engineering, College of Engineering and Renewable Energy Research Group, King Abdulaziz University, Jeddah, Saudi Arabia"}]},{"given":"Abdullah","family":"Abusorrah","sequence":"additional","affiliation":[{"name":"Department of Electrical and Computer Engineering, College of Engineering and Renewable Energy Research Group, King Abdulaziz University, Jeddah, Saudi Arabia"}]},{"given":"Yusuf","family":"Al-Turki","sequence":"additional","affiliation":[{"name":"Department of Electrical and Computer Engineering, College of Engineering and Renewable Energy Research Group, King Abdulaziz University, Jeddah, Saudi Arabia"}]},{"given":"Damian","family":"Giaouris","sequence":"additional","affiliation":[{"name":"Chemical Process Engineering Research Institute, Centre for Research and Technology, Hellas, Thermi-Thessaloniki, Greece"}]},{"given":"Kuntal","family":"Mandal","sequence":"additional","affiliation":[{"name":"Department of Physical Sciences, Indian Institute of Science Education and Research \u2013 Kolkata, Mohanpur Campus \u2013 741252, West Bengal, India"},{"name":"King Abdulaziz University, Jeddah, Saudi Arabia"}]},{"given":"Soumitro","family":"Banerjee","sequence":"additional","affiliation":[{"name":"Department of Physical Sciences, Indian Institute of Science Education and Research \u2013 Kolkata, Mohanpur Campus \u2013 741252, West Bengal, India"},{"name":"King Abdulaziz University, Jeddah, Saudi Arabia"}]}],"member":"219","published-online":{"date-parts":[[2014,11,28]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127400000244"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1109\/9780470545393"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1109\/TPEL.2013.2248023"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1142\/S021812740701794X"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1016\/j.simpat.2011.08.011"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127411029318"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1109\/63.56516"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1109\/81.168922"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127405012946"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1109\/TSTE.2011.2168245"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1109\/TEC.2006.874230"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2008.916443"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2011.2161371"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1109\/63.124574"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1002\/pip.459"},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1109\/TSTE.2011.2157540"},{"key":"rf17","doi-asserted-by":"publisher","DOI":"10.1016\/j.enpol.2003.10.004"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1016\/j.solmat.2005.10.023"},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1201\/9780203494554"},{"key":"rf20","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127411029264"},{"key":"rf21","doi-asserted-by":"publisher","DOI":"10.1109\/TPEL.1986.4766286"},{"key":"rf23","first-page":"1350094-1","volume":"23","author":"Xiong X.","year":"2013","journal-title":"Int. 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