{"id":82588,"date":"2024-01-14T13:21:51","date_gmt":"2024-01-14T13:21:51","guid":{"rendered":"https:\/\/www.electricity-magnetism.org\/theoreme-de-norton-analyse-des-circuits\/"},"modified":"2024-01-23T13:14:57","modified_gmt":"2024-01-23T13:14:57","slug":"theoreme-de-norton-analyse-des-circuits","status":"publish","type":"post","link":"https:\/\/www.electricity-magnetism.org\/fr\/theoreme-de-norton-analyse-des-circuits\/","title":{"rendered":"Th\u00e9or\u00e8me de Norton | Analyse des circuits"},"content":{"rendered":"<h2>Le Th\u00e9or\u00e8me de Norton<\/h2>\n<p>Le Th\u00e9or\u00e8me de Norton est une technique fondamentale en g\u00e9nie \u00e9lectrique, utilis\u00e9e pour simplifier des circuits lin\u00e9aires complexes. Similaire au Th\u00e9or\u00e8me de Th\u00e9venin, le Th\u00e9or\u00e8me de Norton stipule que tout circuit bipolaire lin\u00e9aire et invariant dans le temps peut \u00eatre remplac\u00e9 par un circuit \u00e9quivalent constitu\u00e9 d&rsquo;une seule source de courant (courant de Norton, I<sub>N<\/sub>) en parall\u00e8le avec une seule r\u00e9sistance (r\u00e9sistance de Norton, R<sub>N<\/sub>), tant que le comportement du courant et de la tension de sortie aux bornes reste identique. Ce th\u00e9or\u00e8me est particuli\u00e8rement utile pour analyser des circuits avec de multiples composants et simplifie le processus de d\u00e9termination de l&rsquo;effet des r\u00e9sistances de charge variables.<\/p>\n<h2>Application du Th\u00e9or\u00e8me de Norton<\/h2>\n<p>Pour appliquer le Th\u00e9or\u00e8me de Norton, suivez ces \u00e9tapes :<\/p>\n<p>Retirez la r\u00e9sistance de charge (R<sub>L<\/sub>) du circuit, en laissant les deux bornes o\u00f9 la r\u00e9sistance de charge \u00e9tait connect\u00e9e.<\/p>\n<p>Calculez le courant de court-circuit aux bornes, qui est le courant de Norton (I<sub>N<\/sub>). Ce courant peut \u00eatre trouv\u00e9 en utilisant diverses techniques d&rsquo;analyse de circuit, telles que la Loi d&rsquo;Ohm, les Lois de Kirchhoff ou l&rsquo;analyse de courant de maille.<\/p>\n<p>Remplacez toutes les sources de tension par des courts-circuits et toutes les sources de courant par des circuits ouverts. Calculez la r\u00e9sistance \u00e9quivalente vue dans le circuit aux bornes, qui est la r\u00e9sistance de Norton (R<sub>N<\/sub>). Cette r\u00e9sistance peut \u00eatre trouv\u00e9e en utilisant des combinaisons de r\u00e9sistances en s\u00e9rie et en parall\u00e8le ou en appliquant d&rsquo;autres techniques, telles que la transformation delta-en-Y.<\/p>\n<p>Remplacez le circuit original par le circuit \u00e9quivalent de Norton, qui consiste en le courant de Norton (I<sub>N<\/sub>) en parall\u00e8le avec la r\u00e9sistance de Norton (R<sub>N<\/sub>).<\/p>\n<p>Reconnectez la r\u00e9sistance de charge (R<sub>L<\/sub>) aux bornes du circuit \u00e9quivalent de Norton.<\/p>\n<p>Avec le circuit \u00e9quivalent de Norton simplifi\u00e9, vous pouvez maintenant analyser le circuit plus facilement, comme d\u00e9terminer le courant \u00e0 travers la r\u00e9sistance de charge ou trouver le transfert de puissance maximal.<\/p>\n<h2>Limitations et Relations<\/h2>\n<p>Il est important de noter que le Th\u00e9or\u00e8me de Norton ne peut \u00eatre appliqu\u00e9 qu&rsquo;aux circuits lin\u00e9aires et invariants dans le temps ; il ne s&rsquo;applique pas aux circuits avec des composants non lin\u00e9aires ou variant dans le temps. Il convient \u00e9galement de noter que les th\u00e9or\u00e8mes de Th\u00e9venin et de Norton sont \u00e9troitement li\u00e9s, et les circuits \u00e9quivalents peuvent \u00eatre convertis l&rsquo;un en l&rsquo;autre en utilisant la transformation de source.<\/p>\n<h2>Autres Th\u00e9or\u00e8mes de Circuit<\/h2>\n<p>Les th\u00e9or\u00e8mes de circuit sont des outils essentiels pour analyser et simplifier des circuits \u00e9lectriques complexes. Ces th\u00e9or\u00e8mes aident les ing\u00e9nieurs et les techniciens \u00e0 trouver des circuits \u00e9quivalents, \u00e0 r\u00e9soudre des quantit\u00e9s inconnues et \u00e0 optimiser les performances du circuit. Parmi les th\u00e9or\u00e8mes de circuit les plus importants figurent :<\/p>\n<p>La Loi d&rsquo;Ohm<br \/>\nLes Lois de Kirchhoff<br \/>\nLe Th\u00e9or\u00e8me de Th\u00e9venin<br \/>\nLe Th\u00e9or\u00e8me de Norton<br \/>\nLe Th\u00e9or\u00e8me de Superposition<br \/>\nLe Th\u00e9or\u00e8me du Transfert de Puissance Maximum<br \/>\nLes Transformations Delta-en-Y (\u0394-Y) et Y-en-Delta (Y-\u0394)<\/p>\n<h2>Prochain Article<\/h2>\n<p><img decoding=\"async\" src=\"https:\/\/www.electricity-magnetism.org\/wp-content\/uploads\/2022\/01\/logo.png\" alt=\"Norton's Theorem\" \/><\/p>\n<div style=\"text-align: center; font-size: 20px;\">\n    <a href=\"https:\/\/www.electricity-magnetism.org\/nortons-theorem\/\">Original Article<\/a>\n<\/div>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Le th\u00e9or\u00e8me de Norton est une autre technique fondamentale utilis\u00e9e en g\u00e9nie \u00e9lectrique pour simplifier des circuits lin\u00e9aires complexes.<\/p>\n","protected":false},"author":1,"featured_media":1576,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_generate-full-width-content":"","footnotes":""},"categories":[10],"tags":[],"class_list":["post-82588","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-non-classifiee","generate-columns","tablet-grid-50","mobile-grid-100","grid-parent","grid-50"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - 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