{"id":118108,"date":"2023-08-23T09:08:56","date_gmt":"2023-08-23T07:08:56","guid":{"rendered":"https:\/\/www.velasolaris.com\/handbuch\/estimation-de-la-duree-de-vie\/"},"modified":"2025-03-25T16:57:14","modified_gmt":"2025-03-25T15:57:14","slug":"estimation-de-la-duree-de-vie","status":"publish","type":"handbuch","link":"https:\/\/www.velasolaris.com\/fr\/handbuch\/polysun-designer\/photovoltaique-et-composants-electrique\/batteries\/estimation-de-la-duree-de-vie\/","title":{"rendered":"Estimation de la dur\u00e9e de vie"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Le <em>Return of Investment<\/em> d&rsquo;une batterie d\u00e9pend de sa dur\u00e9e de vie. Cela d\u00e9pend de la sollicitation de la batterie (dur\u00e9e de vie du cycle) ainsi que du temps (dur\u00e9e de vie calendaire). La dur\u00e9e de vie du cycle peut \u00eatre estim\u00e9e en comptant le nombre de cycles (par exemple, avec la m\u00e9thode \u00ab\u00a0<em>Rainflow Cycle Counting<\/em>\u00ab\u00a0).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">La dur\u00e9e de vie calendaire, ainsi que la relation entre la profondeur de cycle (profondeur de d\u00e9charge ) et le nombre de cycles jusqu&rsquo;\u00e0 d\u00e9faillance \\(C_{F}\\), est g\u00e9n\u00e9ralement sp\u00e9cifi\u00e9e dans la fiche technique de la batterie (voir la figure suivante).<\/p>\n\n\n\n<div class=\"wp-block-group is-nowrap is-layout-flex wp-container-core-group-is-layout-7387b849 wp-block-group-is-layout-flex\">\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.velasolaris.com\/wp-content\/uploads\/2023\/10\/image63-2.png\" alt=\"\" class=\"wp-image-74791\" style=\"width:633px;height:479px\" width=\"633\" height=\"479\"\/><figcaption class=\"wp-element-caption\">Figure: Courbe typique du nombre de cycles par rapport \u00e0 la profondeur de d\u00e9charge d&rsquo;une batterie fiche technique<\/figcaption><\/figure>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\">La relation entre le nombre de cycles jusqu&rsquo;\u00e0 la d\u00e9faillance (<em>number of cycles to failure<\/em>) \\(C_{F}\\)&nbsp;et la profondeur de d\u00e9charge<em> (depth of discharge<\/em>) &nbsp;est mod\u00e9lis\u00e9e dans Polysun par l&rsquo;une des deux fonctions suivantes :<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Comme une fonction exponentielle double (bien adapt\u00e9e aux batteries au plomb)<\/li>\n<\/ol>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">\\(C_{F} = \\alpha_{1} + \\alpha_{2} \\cdot e^{- \\alpha_{3} \\cdot DoD} + \\alpha_{4}{\\cdot e}^{- \\alpha_{5} \\cdot DoD}\\)<\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"2\">\n<li>Comme courbe de W\u00f6hler (bien adapt\u00e9e aux batteries lithium-ion)<\/li>\n<\/ol>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">\\(C_{F} = \\alpha_{1} \\cdot DoD^{- \\alpha_{2}}\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Les param\u00e8tres \\(\\alpha_{1}\\) \u00e0 \\(\\alpha_{5}\\)&nbsp;peuvent \u00eatre fournis directement par le producteur de la batterie, ou bien ils peuvent \u00eatre d\u00e9termin\u00e9s par r\u00e9gression non lin\u00e9aire \u00e0 partir du graphique de dur\u00e9e de vie des fiches techniques<a id=\"_ftnref1\" href=\"#_ftn1\">[1]<\/a>. Tous les param\u00e8tres sont facultatifs. Cependant, s&rsquo;ils sont manquants, aucune estimation de la dur\u00e9e de vie n&rsquo;a lieu. Si seuls les param\u00e8tres \\(\\alpha_{1}\\ \\) et \\(\\alpha_{2}\\ \\) sont donn\u00e9s, la courbe de W\u00f6hler est automatiquement mod\u00e9lis\u00e9e, sinon la fonction exponentielle double est utilis\u00e9e.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Pour calculer la dur\u00e9e de vie des cycles dans Polysun, on utilise 20 bins ( <em>Histogramm\u2011Bins<\/em>) de m\u00eame taille, qui comptent le nombre de cycles de la gamme \\(DoD\\)&nbsp;(Range) R correspondante. \\(M_{i}\\)&nbsp;est le nombre annuel de cycles avec la gamme \\(R_{i}\\). \\(C_{FL,i}\\)&nbsp;indique le nombre correspondant de cycles d&rsquo;une gamme \\(R_{i}\\)&nbsp;jusqu&rsquo;\u00e0 la d\u00e9faillance. A chaque cycle de la batterie, \\({1\/C}_{FL,i}\\)&nbsp;de la dur\u00e9e de vie totale de la batterie est consomm\u00e9e. Le dommage annuel cumul\u00e9 &nbsp;r\u00e9sulte de :<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(D = \\sum_{i}^{}\\frac{M_{i}}{C_{FL,i}\\ }\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Par exemple, si \u00e0 la fin de la simulation D = 0.5, la moiti\u00e9 de la dur\u00e9e de vie de la batterie a \u00e9t\u00e9 utilis\u00e9e. En d&rsquo;autres termes, la batterie doit \u00eatre remplac\u00e9e au bout de deux ans. Comme la dur\u00e9e de vie de la batterie d\u00e9pend fortement des cycles de d\u00e9charge profonde, seule une partie de la capacit\u00e9 disponible est utilis\u00e9e pour les cycles quotidiens. La batterie n&rsquo;est jamais d\u00e9charg\u00e9e plus profond\u00e9ment que \\({SOC}_{\\min}\\). \\(SOC \\geq {SOC}_{\\min}\\)&nbsp;s&rsquo;applique. Le \\({SOC}_{\\min}\\)&nbsp;est sp\u00e9cifique au type et peut \u00eatre trouv\u00e9 dans les fiches techniques producteur.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Dans les r\u00e9sultats de simulation de la batterie, le nombre total de cycles effectu\u00e9s et les cycles profonds sont indiqu\u00e9s. Ce qui compte comme une d\u00e9charge profonde est d\u00e9fini par le seuil de d\u00e9chargement profond (<em>deep cycle threshold<\/em>) dans le dialogue des propri\u00e9t\u00e9s de la batterie.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">La dur\u00e9e de vie totale&nbsp;\\(L_{tot}\\) de la batterie r\u00e9sulte du minimum de la dur\u00e9e de vie calendaire&nbsp; &nbsp; et de la dur\u00e9e de vie cyclique&nbsp;\\(L_{cyc}\\):<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(L_{tot} = \\min{(L_{cal,\\ }L_{cyc})}\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Si aucune dur\u00e9e de vie calendaire n&rsquo;est sp\u00e9cifi\u00e9e dans l&rsquo;entr\u00e9e respective du catalogue de batteries, les valeurs suivantes sont suppos\u00e9es : 20 ans pour les batteries lithium-ion, vanadium redox flow et NiCd, ou 10 ans pour les batteries au plomb et NiMH.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"#_ftnref1\" id=\"_ftn1\">[1]<\/a> Par exemple, dans Excel, Matlab ou un outil en ligne comme zunzun.com<\/p>\n","protected":false},"author":19748,"featured_media":0,"parent":118099,"menu_order":37,"comment_status":"closed","ping_status":"closed","template":"","class_list":["post-118108","handbuch","type-handbuch","status-publish","hentry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v28.0 (Yoast SEO v28.0) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Estimation de la dur\u00e9e de vie - POLYSUN<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.velasolaris.com\/fr\/handbuch\/polysun-designer\/photovoltaique-et-composants-electrique\/batteries\/estimation-de-la-duree-de-vie\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Estimation de la dur\u00e9e de vie\" \/>\n<meta property=\"og:description\" content=\"Le Return of Investment d&rsquo;une batterie d\u00e9pend de sa dur\u00e9e de vie. 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