{"id":118107,"date":"2023-08-23T08:51:29","date_gmt":"2023-08-23T06:51:29","guid":{"rendered":"https:\/\/www.velasolaris.com\/handbuch\/batterie-au-plomb-kiba-modele-kibam\/"},"modified":"2025-03-25T16:53:08","modified_gmt":"2025-03-25T15:53:08","slug":"batterie-au-plomb-kiba-modele-kibam","status":"publish","type":"handbuch","link":"https:\/\/www.velasolaris.com\/fr\/handbuch\/polysun-designer\/photovoltaique-et-composants-electrique\/batteries\/batterie-au-plomb-kiba-modele-kibam\/","title":{"rendered":"Batterie au plomb \/ KiBa Mod\u00e8le (KiBaM)"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\"><strong><em>Remarque : <\/em><\/strong><em>le mod\u00e8le KiBa est toujours disponible pour une compatibilit\u00e9 descendante. Cependant, il est obsol\u00e8te et son utilisation n&rsquo;est plus recommand\u00e9e en raison de son impr\u00e9cision et de son manque de comparabilit\u00e9 avec PerMod. En outre, le KiBaM n&rsquo;est pas applicable aux batteries lithium-ion. Il peut \u00eatre activ\u00e9 dans les param\u00e8tres avanc\u00e9s.<\/em><em><\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Le KiBaM repr\u00e9sente l&rsquo;\u00e9nergie de la batterie comme un syst\u00e8me \u00e0 deux sources, la premi\u00e8re \u00e9tant l&rsquo;\u00e9nergie \u00e9lectrique rapidement disponible et la seconde l&rsquo;\u00e9nergie chimique lente qui est convertie en \u00e9nergie \u00e9lectrique \u00e0 un taux limit\u00e9.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Dans Polysun, le mod\u00e8le propos\u00e9 dans [1], qui d\u00e9crit les \u00e9nergies et les puissances, a \u00e9t\u00e9 mis en \u0153uvre. Les changements de tension ne sont pas repr\u00e9sent\u00e9s. L&rsquo;article [2] traite directement de l&rsquo;impl\u00e9mentation dans Polysun.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Selon [1], nous travaillons avec une tension de batterie constante. L&rsquo;\u00e9nergie disponible et l&rsquo;\u00e9nergie li\u00e9e chimiquement \u00e0 la fin d&rsquo;un pas de temps sont donn\u00e9es par :<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(E_{1,t + 1} = E_{1,t}\\ e^{- k \\cdot \\mathrm{\\Delta}t} + \\frac{{(E}_{0,t} \\cdot k \\cdot c &#8211; P) \\cdot (1 &#8211; e^{- k \\cdot \\mathrm{\\Delta}t})}{k} &#8211; \\frac{P \\cdot c \\cdot (k \\cdot \\mathrm{\\Delta}t &#8211; 1 + e^{- k \\cdot \\mathrm{\\Delta}t})}{k}\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(E_{2,t + 1} = E_{2,t}\\ e^{- k \\cdot \\mathrm{\\Delta}t} + E_{0,t}(1 &#8211; c) \\cdot (1 &#8211; e^{- k \\cdot \\mathrm{\\Delta}t}) &#8211; \\frac{P \\cdot (1 &#8211; c) \\cdot (k \\cdot \\mathrm{\\Delta}t &#8211; 1 + e^{- k \\cdot \\mathrm{\\Delta}t})}{k}\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(E_{0,t} = E_{1,t} + E_{2,t}\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">O\u00f9 \\(\\mathrm{\\Delta}t\\)&nbsp;est le pas de temps en heures, \\(E_{1,t}\\) \\(E_{2,t}\\) et \\(E_{0,t}\\) sont l&rsquo;\u00e9nergie \u00e9lectriquement disponible, chimiquement li\u00e9e et l&rsquo;\u00e9nergie totale de la batterie. P est la puissance de charge\/d\u00e9charge. \\(c = E_{1,t}\/E_{2,t}\\)&nbsp;est le rapport de capacit\u00e9. &nbsp;est le param\u00e8tre de la constante de vitesse, qui d\u00e9crit la vitesse \u00e0 laquelle l&rsquo;\u00e9nergie li\u00e9e chimiquement devient \u00e9lectriquement disponible. Dans ce mod\u00e8le de batterie, la convention veut que &nbsp;soit positif pendant la d\u00e9charge et n\u00e9gatif pendant la charge.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">KiBaM mod\u00e9lise \u00e9galement la puissance maximale de charge (\\(P_{ch,\\max}\\)) &nbsp;et de d\u00e9charge \\((P_{dis,\\max})\\) en fonction de l&rsquo;\u00e9nergie stock\u00e9e.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(P_{dis,\\max} = \\frac{k{\\cdot E}_{1,t} \\cdot e^{- k \\cdot \\mathrm{\\Delta}t} + E_{0,t} \\cdot k \\cdot c \\cdot \\left( 1 &#8211; e^{- k \\cdot \\mathrm{\\Delta}t} \\right)}{1 &#8211; e^{- k \\cdot \\mathrm{\\Delta}t} + c \\cdot \\left( k \\cdot \\mathrm{\\Delta}t &#8211; 1 + \\ e^{- k \\cdot \\mathrm{\\Delta}t} \\right)}\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(P_{ch,\\max} = \\frac{- k \\cdot c \\cdot E_{\\max} + k \\cdot E_{1,t}\\ e^{- k \\cdot \\mathrm{\\Delta}t} + E_{0,t} \\cdot k \\cdot c \\cdot \\left( 1 &#8211; e^{- k \\cdot \\mathrm{\\Delta}t} \\right)}{1 &#8211; e^{- k \\cdot \\mathrm{\\Delta}t} + c \\cdot \\left( k \\cdot \\mathrm{\\Delta}t &#8211; 1 + \\ e^{- k \\cdot \\mathrm{\\Delta}t} \\right)}\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">o\u00f9 \\(E_{\\max}\\)&nbsp;est la capacit\u00e9 nominale de la batterie. Avec cette notation, l&rsquo;\u00e9tat de charge ((State of Charge, SOC) est d\u00e9fini comme suit :<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\({SOC}_{t} = \\frac{E_{0,t}}{E_{\\max}}\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Les batteries de Polysun sont connect\u00e9es au courant alternatif et poss\u00e8dent leur propre onduleur. Les onduleurs sont repr\u00e9sent\u00e9s par des efficacit\u00e9s simples.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">L&rsquo;autod\u00e9charge des batteries est repr\u00e9sent\u00e9e par une r\u00e9duction lin\u00e9aire de la charge.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">De nouveaux mod\u00e8les de batteries peuvent \u00eatre ajout\u00e9s dans le catalogue. Si les param\u00e8tres c et k ne sont pas disponibles, ils peuvent \u00eatre calcul\u00e9s \u00e0 partir de trois courbes de d\u00e9charge \u00e0 courant constant chacune. Le programme <em>Battery Parameter Finder<\/em><a href=\"#_ftn1\" id=\"_ftnref1\"><sup>[1]<\/sup><\/a> peut \u00eatre utilis\u00e9 pour le calcul..<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\">[1] J. A. Duffie and W. A. Beckman, \u201eSolar Engineering of Thermal Processes\u201c, 2006, Hoboken, New Jersey, John Wiley &amp; Sons Inc.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">[2] R. Kr\u00f6ni et.al.; Final Report PV P+D, DIS 47456 \/ 87538, February 2005; Energy Rating of Solar Modules<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a id=\"_ftn1\" href=\"#_ftnref1\">[1]<\/a> http:\/\/www.umass.edu\/windenergy\/research.topics.tools.software.kibam.php<\/p>\n","protected":false},"author":19748,"featured_media":0,"parent":118099,"menu_order":34,"comment_status":"closed","ping_status":"closed","template":"","class_list":["post-118107","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>Batterie au plomb \/ KiBa Mod\u00e8le (KiBaM) - 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\/batterie-au-plomb-kiba-modele-kibam\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Batterie au plomb \/ KiBa Mod\u00e8le (KiBaM)\" \/>\n<meta property=\"og:description\" content=\"Remarque : le mod\u00e8le KiBa est toujours disponible pour une compatibilit\u00e9 descendante. 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