{"id":4684,"date":"2024-07-18T16:14:10","date_gmt":"2024-07-18T21:14:10","guid":{"rendered":"https:\/\/commons.princeton.edu\/josephhenry\/?page_id=4684"},"modified":"2024-07-20T11:34:21","modified_gmt":"2024-07-20T16:34:21","slug":"accuracy-of-comsol-unipolar-generator","status":"publish","type":"page","link":"https:\/\/commons.princeton.edu\/josephhenry\/faraday-flux-rule\/accuracy-of-comsol-unipolar-generator\/","title":{"rendered":"Accuracy of COMSOL Unipolar Generator"},"content":{"rendered":"

Tesla Pratt, 6\/18\/24 \u2014 Professor Littman<\/span><\/p>\n

Objective<\/b>: Verify accuracy of COMSOL Unipolar Generator simulation using equations derived from Maxwell\u2019s equation <\/span>and the Lorentz Force equation <\/span>\u00a0<\/span><\/p>\n

Calculations:<\/strong> Following the process of Crooks et al. 1978 in this<\/a> Crooks et al. 1978 paper, we can simplify the EMF calculation for a rotating disc with a uniform field to <\/span>E = (<\/span>1\/<\/span>2<\/span>)(<\/span>R^<\/span>2<\/span>)Bw<\/span>.\u00a0<\/span><\/p>\n

    \n
  1. Pulling values directly from COMSOL\u2019s original Unipolar Generator Simulation, R=0.1m, B=1T, and w=125.7rad\/s.<\/span><\/li>\n
  2. E = (<\/span>1<\/span>2<\/span>)(<\/span>0.1<\/span>2<\/span>)(1)(125.7) = 0.628V<\/span><\/li>\n
  3. Theoretical output voltage: 0.628V<\/strong><\/li>\n<\/ol>\n

    Comparison:<\/span><\/p>\n

    \"\"<\/p>\n

      \n
    1. After plotting the electric potential of the generator in COMSOL, specifying the maximum and minimum voltage values, we get a maximum of 0.4V on the outside of the disc, and a minimum of -0.232V at the very center. The positive difference between these two values is 0.632V.<\/span><\/li>\n
    2. Comsol Output Voltage: 0.632V<\/strong><\/li>\n
    3. With a theoretical value of 0.628V and an actual value of 0.632V, the result is a very low percent error<\/strong> of 0.637%.<\/span><\/li>\n<\/ol>\n

      Conclusion:<\/strong> We have verified that the COMSOL unipolar generator simulation produces believable Magnetic and Electric Field outputs.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"

      Tesla Pratt, 6\/18\/24 \u2014 Professor Littman Objective: Verify accuracy of COMSOL Unipolar Generator simulation using equations derived from Maxwell\u2019s equation and the Lorentz Force equation \u00a0 Calculations: Following the process of Crooks et al. 1978 in this Crooks et al. 1978 paper, we can simplify the EMF calculation for a rotating disc with a uniform … Continue reading “Accuracy of COMSOL Unipolar Generator”<\/span><\/a><\/p>\n","protected":false},"author":6121,"featured_media":0,"parent":4306,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"categories":[],"tags":[],"class_list":["post-4684","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/pages\/4684","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/users\/6121"}],"replies":[{"embeddable":true,"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/comments?post=4684"}],"version-history":[{"count":5,"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/pages\/4684\/revisions"}],"predecessor-version":[{"id":4701,"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/pages\/4684\/revisions\/4701"}],"up":[{"embeddable":true,"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/pages\/4306"}],"wp:attachment":[{"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/media?parent=4684"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/categories?post=4684"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/tags?post=4684"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}