{"id":160123,"date":"2022-09-26T10:00:32","date_gmt":"2022-09-26T10:00:32","guid":{"rendered":"\/knowledge\/forums\/topic\/discovery-aim-tutorial-eddy-current-magnetic-frequency-response\/"},"modified":"2023-08-16T06:33:33","modified_gmt":"2023-08-16T06:33:33","slug":"discovery-aim-tutorial-eddy-current-magnetic-frequency-response","status":"publish","type":"topic","link":"https:\/\/innovationspace.ansys.com\/knowledge\/forums\/topic\/discovery-aim-tutorial-eddy-current-magnetic-frequency-response\/","title":{"rendered":"Discovery AIM tutorial &#8211; Eddy Current \/ Magnetic Frequency Response"},"content":{"rendered":"<p><strong>This example is taken from\u00a0<u><a href=\"https:\/\/confluence.cornell.edu\/pages\/viewpage.action?pageId=348595246\" target=\"_blank\" rel=\"nofollow noopener noreferrer\">Cornell University&#8217;s ANSYS AIM Learning Modules<\/a><\/u><\/strong><\/p>\n<hr \/>\n<nav class=\"toc\">Contents<\/p>\n<ol class=\"toc__section -lev0\">\n<li class=\"toc__item -lev0\">Learning Goals<\/li>\n<li class=\"toc__item -lev0\">Problem Specification<\/li>\n<li class=\"toc__item -lev0\">Pre-Analysis<\/li>\n<li class=\"toc__item -lev0\">Geometry<\/li>\n<li class=\"toc__item -lev0\">Physics\u00a0Setup<\/li>\n<li class=\"toc__item -lev0\">Results Evaluation<\/li>\n<\/ol>\n<\/nav>\n<h4 content_id=\"learning-goals\" class=\"toc__permalink\" content_id=\"learning-goals\" class=\"toc__permalink\"  id=\"LEARNING-GOALS\"><strong>Learning Goals<\/strong><\/h4>\n<p>In this tutorial,\u00a0you will learn to determine:<\/p>\n<ul>\n<li>Induced Eddy currents in the aluminum plate<\/li>\n<li>\u00a0Resulting Ohmic loss<\/li>\n<\/ul>\n<hr \/>\n<h4 content_id=\"problem-specification\" class=\"toc__permalink\" content_id=\"problem-specification\" class=\"toc__permalink\"  id=\"PROBLEM-SPECIFICATION\"><strong>Problem Specification<\/strong><\/h4>\n<p>In this tutorial, we will consider a sinusoidal varying magnetic field, which is generated from a sinusoidal varying current in a stranded coil. \u00a0We will obtain the solution by solving the problem in the frequency domain using a magnetic frequency response solution in ANSYS AIM.<\/p>\n<p>The model consists of a stranded copper coil with a sinusoidally varying current of 2.742 Amp-turns operating at a frequency of 200 Hertz. \u00a0The sinusoidally varying magnetic field created by the coil will generate Eddy currents in the conductive aluminum plate, which sits below the coil as shown below. \u00a0We will investigate the resulting induced Eddy currents in the aluminum plate and the resulting Ohmic loss.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-156996\" src=\"\/knowledge\/wp-content\/uploads\/sites\/4\/2022\/08\/HM-6.png\" alt=\" width=\"950\" height=\"711\" \/><\/p>\n<hr \/>\n<h4 content_id=\"pre-analysis\" class=\"toc__permalink\" content_id=\"pre-analysis\" class=\"toc__permalink\"  id=\"PRE-ANALYSIS\"><strong>Pre-Analysis\u00a0<\/strong><\/h4>\n<p><u>Governing Equation<\/u>:<br \/>\nMagnetic frequency response is the study of magnetic fields in devices where the magnetic field is a steady-state, sinusoidal magnetic field at a given frequency. \u00a0Magnetic frequency response is a special case of Maxwell\u2019s equations, which form the basis of electromagnetism. \u00a0A magnetic frequency response solution includes the calculation of Eddy currents, which are loops of electric current within conductive materials induced by a changing magnetic field.<\/p>\n<p>For sinusoidally varying magnetic fields, the induced Eddy currents will not completely penetrate into the interior of a conductive material. This is referred to as the skin effect, and the Eddy current penetration depth for a conductor can be calculated from the following equation:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-156997\" src=\"\/knowledge\/wp-content\/uploads\/sites\/4\/2022\/08\/HM-7.png\" alt=\" width=\"128\" height=\"78\" \/><\/p>\n<p>where\u00a0<em><strong>\u03b4<\/strong><\/em>\u00a0is the penetration depth,\u00a0<em><strong>f<\/strong><\/em>\u00a0is the frequency,\u00a0<em><strong>\u03bc<\/strong><\/em>\u00a0is the magnetic permeability of the material, and\u00a0<em><strong>\u03c3<\/strong><\/em>\u00a0is the electrical conductivity of the material.<\/p>\n<hr \/>\n<h4 content_id=\"geometry\" class=\"toc__permalink\" content_id=\"geometry\" class=\"toc__permalink\"  id=\"GEOMETRY\"><strong>Geometry<\/strong><\/h4>\n<p><a style=\"color:#1E6DDC;font-weight:bold;text-decoration:none;\"  href=\"https:\/\/ansys13.ansys.com\/KnowledgeArticles\/Discovery\/Eddy-Current-Magnetic-Frequency-Response.zip\" download>Download the file here<\/a><\/p>\n<p>The following video shows how to import the geometry in Discovery AIM and specify material.<\/p>\n<p><iframe loading=\"lazy\" class=\"vidyard_iframe\" src=\"https:\/\/play.vidyard.com\/F36vXhXeaTtxKD6Qp5fmZ5.html?v=3.1.1\" width=\"640\" height=\"360\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"allowfullscreen\" data-mce-fragment=\"1\"><\/iframe><\/p>\n<hr \/>\n<h4 content_id=\"physicssetup\" class=\"toc__permalink\" content_id=\"physicssetup\" class=\"toc__permalink\"  id=\"PHYSICS-SETUP\"><strong>Physics\u00a0Setup<\/strong><\/h4>\n<p>The following video shows how to define Current and Skin Depth Resolution properties.<\/p>\n<p><iframe loading=\"lazy\" class=\"vidyard_iframe\" src=\"https:\/\/play.vidyard.com\/MtiZ1pMfkSxXUR3jFYAz1x.html?v=3.1.1\" width=\"640\" height=\"360\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"allowfullscreen\" data-mce-fragment=\"1\"><\/iframe><\/p>\n<hr \/>\n<h4 content_id=\"results-evaluation\" class=\"toc__permalink\" content_id=\"results-evaluation\" class=\"toc__permalink\"  id=\"RESULTS-EVALUATION\"><strong>Results Evaluation<\/strong><\/h4>\n<p>The following\u00a0video shows how to compute induced Eddy currents in the aluminum plate and resulting Ohmic loss.<\/p>\n<p><iframe loading=\"lazy\" class=\"vidyard_iframe\" src=\"https:\/\/play.vidyard.com\/SkQCNUKfbstUJmxNkeNHc1.html?v=3.1.1\" width=\"640\" height=\"360\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"allowfullscreen\" data-mce-fragment=\"1\"><\/iframe><\/p>\n","protected":false},"template":"","class_list":["post-160123","topic","type-topic","status-publish","hentry","topic-tag-aim-tutotrial","topic-tag-discovery-aim","topic-tag-electromagnetics"],"aioseo_notices":[],"acf":[],"custom_fields":[{"0":{"_wp_page_template":["default"],"_bbp_last_active_time":["09-13-2022  20:20:00"],"_bbp_forum_id":["159552"],"_btv_view_count":["4359"],"family":[""],"application_name":[""],"product_version":[""],"_bbp_likes_count":["1"]},"test":"watchlearnansys-com"}],"_links":{"self":[{"href":"https:\/\/innovationspace.ansys.com\/knowledge\/wp-json\/wp\/v2\/topics\/160123","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/innovationspace.ansys.com\/knowledge\/wp-json\/wp\/v2\/topics"}],"about":[{"href":"https:\/\/innovationspace.ansys.com\/knowledge\/wp-json\/wp\/v2\/types\/topic"}],"version-history":[{"count":0,"href":"https:\/\/innovationspace.ansys.com\/knowledge\/wp-json\/wp\/v2\/topics\/160123\/revisions"}],"wp:attachment":[{"href":"https:\/\/innovationspace.ansys.com\/knowledge\/wp-json\/wp\/v2\/media?parent=160123"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}