{"id":40,"date":"2019-07-04T10:59:08","date_gmt":"2019-07-04T14:59:08","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/?post_type=chapter&#038;p=40"},"modified":"2020-01-22T15:16:29","modified_gmt":"2020-01-22T20:16:29","slug":"auto-transformers","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/chapter\/auto-transformers\/","title":{"raw":"Auto-Transformers","rendered":"Auto-Transformers"},"content":{"raw":"<span>Auto-transformers definition: a single winding transformer with the primary and secondary windings magnetically and electrically connected.<\/span>\r\n\r\n<span>So far, we have dealt with transformers that have no electrical connection between the primary and secondary winding.\u00a0<\/span><span style=\"font-size: 14pt\">The only connection has been magnetic.\u00a0<\/span><span style=\"font-size: 14pt\">Auto-transformers, on the other hand, do have an electrically conductive link between the primary and secondary windings.<\/span>\r\n\r\n<span>There is only one winding in an auto-transformer.\u00a0<\/span><span style=\"font-size: 14pt\">The common winding is the portion shared by the primary and secondary.<\/span>\r\n\r\n<span>All the rules for dual- and multi-winding transformers apply to auto-transformers.<\/span>\r\n<h2 align=\"left\"><strong><span>Step-Down Auto-Transformers<\/span><\/strong><\/h2>\r\n[caption id=\"attachment_143\" align=\"aligncenter\" width=\"300\"]<img src=\"https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-content\/uploads\/sites\/777\/2019\/07\/Autoxfrmr-e1566421602476-300x266.png\" alt=\"\" width=\"300\" height=\"266\" class=\"wp-image-143 size-medium\" \/> Figure 20. Step-down auto-transformer[\/caption]\r\n<p align=\"left\">You will notice that there is only one winding for the entire transformer. The portion of the winding before the load is referred to as the primary, and the portion of the winding that is in parallel to the load is referred to as the secondary or common winding.<\/p>\r\n\r\n<h2 style=\"text-align: center\" align=\"left\">Video Alert!<\/h2>\r\nThis video provides an explanation of how step-down transformers work. In it, you will be shown how to calculate for winding currents, voltages, and power.\r\n\r\n[embed]https:\/\/youtu.be\/XgVxbjmdJ7s[\/embed]\r\n\r\n&nbsp;\r\n<h2 align=\"left\"><span><strong>Step-Up Auto-Transformers<\/strong><\/span><\/h2>\r\n[caption id=\"attachment_144\" align=\"aligncenter\" width=\"300\"]<img src=\"https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-content\/uploads\/sites\/777\/2019\/07\/Step-Up-Autoxfrmer-e1566422340833-300x263.png\" alt=\"\" width=\"300\" height=\"263\" class=\"wp-image-144 size-medium\" \/> Figure 21. Step-up auto-transformer[\/caption]\r\n\r\nA step-up auto-transformer works on the exact same principles as a step-down transformer. The only difference is that the voltage across the load will be larger than the source voltage. All the same rules apply as a step-down auto-transformer.\r\n<h2 style=\"text-align: center\" align=\"left\">Video Alert!<\/h2>\r\nThis video provides an explanation of how step-up transformers work. In it, you will be shown how to calculate for winding currents, voltages, and power.\r\n\r\n[embed]https:\/\/youtu.be\/un0o4aMThwk[\/embed]\r\n<h2><strong><span>Steps for Solving Auto-Transformer Calculations<\/span><\/strong><\/h2>\r\nFollow these steps when doing auto-transformer calculations:\r\n<ol>\r\n \t<li><span>Assign polarities \u2013 load polarity is determined by which terminal is most positive with respect to the other terminal.<\/span><\/li>\r\n \t<li><span>Calculate max high and low voltage winding ampacity.<\/span><\/li>\r\n \t<li><span>Plot current flow through the load and the series load winding.<\/span><\/li>\r\n \t<li><span>Calculate max load VA.<\/span><\/li>\r\n \t<li><span>Calculate line amps based on load VA.<\/span><\/li>\r\n \t<li><span>Plot current flow according to Kirchhoff\u2019s current law.<\/span><\/li>\r\n<\/ol>\r\n<h2>Buck\/Boost Auto-Transformers<\/h2>\r\n[caption id=\"attachment_146\" align=\"aligncenter\" width=\"1024\"]<img src=\"https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-content\/uploads\/sites\/777\/2019\/07\/Buck-Boost-Autoxfrmer-2-e1566422876995-1024x605.png\" alt=\"\" width=\"1024\" height=\"605\" class=\"wp-image-146 size-large\" \/> Figure 22. Standard two-winding transformer as auto-transformer[\/caption]\r\n\r\nOne of the defining principles of an auto-transformer is that it shares a common magnetic and electrical circuit. It is possible to connect a standard two-winding transformer as an auto-transformer. I know that this sounds like magic but it is very real. It is much like how we tested for the polarity of an additive or subtractive transformer.\r\n\r\nHow the polarities are connected will determine whether or not the transformer is a buck or boost.\u00a0In a buck configuration, the two winding voltages will subtract from one another to provide the load voltage.\u00a0In a boost configuration, the two winding voltages will add to one another to provide the load voltage.\r\n<h2 style=\"text-align: center\"><strong>Video Alert!<\/strong><\/h2>\r\nThis video will walk through how a buck\/boost auto-transformer operates and how to determine the calculations.\r\n\r\n[embed]https:\/\/youtu.be\/QtByASWDFwE[\/embed]\r\n<h1>Attributions<\/h1>\r\n<p class=\"no-indent\"><a href=\"https:\/\/youtu.be\/XgVxbjmdJ7s\">Step down auto transformer walk through<\/a> video by <a href=\"https:\/\/www.youtube.com\/channel\/UCRm79BcxKhOWRj6CQAB_Cqg\">The Electric Academy<\/a> is under a <a href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">Creative Commons Attribution License<\/a>.<\/p>\r\n<p class=\"no-indent\"><a href=\"https:\/\/youtu.be\/un0o4aMThwk\">Step up Autotransformer<\/a> video by <a href=\"https:\/\/www.youtube.com\/channel\/UCRm79BcxKhOWRj6CQAB_Cqg\">The Electric Academy<\/a> is under a <a href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">Creative Commons Attribution License<\/a>.<\/p>\r\n<p class=\"no-indent\"><a href=\"https:\/\/youtu.be\/QtByASWDFwE\">Buck boost Autotransformers<\/a> video by <a href=\"https:\/\/www.youtube.com\/channel\/UCRm79BcxKhOWRj6CQAB_Cqg\">The Electric Academy<\/a> is under a <a href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">Creative Commons Attribution License<\/a>.<\/p>","rendered":"<p><span>Auto-transformers definition: a single winding transformer with the primary and secondary windings magnetically and electrically connected.<\/span><\/p>\n<p><span>So far, we have dealt with transformers that have no electrical connection between the primary and secondary winding.\u00a0<\/span><span style=\"font-size: 14pt\">The only connection has been magnetic.\u00a0<\/span><span style=\"font-size: 14pt\">Auto-transformers, on the other hand, do have an electrically conductive link between the primary and secondary windings.<\/span><\/p>\n<p><span>There is only one winding in an auto-transformer.\u00a0<\/span><span style=\"font-size: 14pt\">The common winding is the portion shared by the primary and secondary.<\/span><\/p>\n<p><span>All the rules for dual- and multi-winding transformers apply to auto-transformers.<\/span><\/p>\n<h2 style=\"text-align: left;\"><strong><span>Step-Down Auto-Transformers<\/span><\/strong><\/h2>\n<figure id=\"attachment_143\" aria-describedby=\"caption-attachment-143\" style=\"width: 300px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-content\/uploads\/sites\/777\/2019\/07\/Autoxfrmr-e1566421602476-300x266.png\" alt=\"\" width=\"300\" height=\"266\" class=\"wp-image-143 size-medium\" srcset=\"https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-content\/uploads\/sites\/777\/2019\/07\/Autoxfrmr-e1566421602476-300x266.png 300w, https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-content\/uploads\/sites\/777\/2019\/07\/Autoxfrmr-e1566421602476-768x680.png 768w, https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-content\/uploads\/sites\/777\/2019\/07\/Autoxfrmr-e1566421602476-1024x906.png 1024w, https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-content\/uploads\/sites\/777\/2019\/07\/Autoxfrmr-e1566421602476-65x58.png 65w, https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-content\/uploads\/sites\/777\/2019\/07\/Autoxfrmr-e1566421602476-225x199.png 225w, https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-content\/uploads\/sites\/777\/2019\/07\/Autoxfrmr-e1566421602476-350x310.png 350w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><figcaption id=\"caption-attachment-143\" class=\"wp-caption-text\">Figure 20. Step-down auto-transformer<\/figcaption><\/figure>\n<p style=\"text-align: left;\">You will notice that there is only one winding for the entire transformer. The portion of the winding before the load is referred to as the primary, and the portion of the winding that is in parallel to the load is referred to as the secondary or common winding.<\/p>\n<h2 style=\"text-align: center; text-align: left;\">Video Alert!<\/h2>\n<p>This video provides an explanation of how step-down transformers work. In it, you will be shown how to calculate for winding currents, voltages, and power.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-1\" title=\"Step down auto transformer walk through\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/XgVxbjmdJ7s?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p>&nbsp;<\/p>\n<h2 style=\"text-align: left;\"><span><strong>Step-Up Auto-Transformers<\/strong><\/span><\/h2>\n<figure id=\"attachment_144\" aria-describedby=\"caption-attachment-144\" style=\"width: 300px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-content\/uploads\/sites\/777\/2019\/07\/Step-Up-Autoxfrmer-e1566422340833-300x263.png\" alt=\"\" width=\"300\" height=\"263\" class=\"wp-image-144 size-medium\" srcset=\"https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-content\/uploads\/sites\/777\/2019\/07\/Step-Up-Autoxfrmer-e1566422340833-300x263.png 300w, https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-content\/uploads\/sites\/777\/2019\/07\/Step-Up-Autoxfrmer-e1566422340833-768x673.png 768w, https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-content\/uploads\/sites\/777\/2019\/07\/Step-Up-Autoxfrmer-e1566422340833-1024x897.png 1024w, https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-content\/uploads\/sites\/777\/2019\/07\/Step-Up-Autoxfrmer-e1566422340833-65x57.png 65w, https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-content\/uploads\/sites\/777\/2019\/07\/Step-Up-Autoxfrmer-e1566422340833-225x197.png 225w, https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-content\/uploads\/sites\/777\/2019\/07\/Step-Up-Autoxfrmer-e1566422340833-350x307.png 350w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><figcaption id=\"caption-attachment-144\" class=\"wp-caption-text\">Figure 21. Step-up auto-transformer<\/figcaption><\/figure>\n<p>A step-up auto-transformer works on the exact same principles as a step-down transformer. The only difference is that the voltage across the load will be larger than the source voltage. All the same rules apply as a step-down auto-transformer.<\/p>\n<h2 style=\"text-align: center; text-align: left;\">Video Alert!<\/h2>\n<p>This video provides an explanation of how step-up transformers work. In it, you will be shown how to calculate for winding currents, voltages, and power.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-2\" title=\"Step up Autotransformer\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/un0o4aMThwk?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<h2><strong><span>Steps for Solving Auto-Transformer Calculations<\/span><\/strong><\/h2>\n<p>Follow these steps when doing auto-transformer calculations:<\/p>\n<ol>\n<li><span>Assign polarities \u2013 load polarity is determined by which terminal is most positive with respect to the other terminal.<\/span><\/li>\n<li><span>Calculate max high and low voltage winding ampacity.<\/span><\/li>\n<li><span>Plot current flow through the load and the series load winding.<\/span><\/li>\n<li><span>Calculate max load VA.<\/span><\/li>\n<li><span>Calculate line amps based on load VA.<\/span><\/li>\n<li><span>Plot current flow according to Kirchhoff\u2019s current law.<\/span><\/li>\n<\/ol>\n<h2>Buck\/Boost Auto-Transformers<\/h2>\n<figure id=\"attachment_146\" aria-describedby=\"caption-attachment-146\" style=\"width: 1024px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-content\/uploads\/sites\/777\/2019\/07\/Buck-Boost-Autoxfrmer-2-e1566422876995-1024x605.png\" alt=\"\" width=\"1024\" height=\"605\" class=\"wp-image-146 size-large\" srcset=\"https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-content\/uploads\/sites\/777\/2019\/07\/Buck-Boost-Autoxfrmer-2-e1566422876995-1024x605.png 1024w, https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-content\/uploads\/sites\/777\/2019\/07\/Buck-Boost-Autoxfrmer-2-e1566422876995-300x177.png 300w, https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-content\/uploads\/sites\/777\/2019\/07\/Buck-Boost-Autoxfrmer-2-e1566422876995-768x453.png 768w, https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-content\/uploads\/sites\/777\/2019\/07\/Buck-Boost-Autoxfrmer-2-e1566422876995-65x38.png 65w, https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-content\/uploads\/sites\/777\/2019\/07\/Buck-Boost-Autoxfrmer-2-e1566422876995-225x133.png 225w, https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-content\/uploads\/sites\/777\/2019\/07\/Buck-Boost-Autoxfrmer-2-e1566422876995-350x207.png 350w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption id=\"caption-attachment-146\" class=\"wp-caption-text\">Figure 22. Standard two-winding transformer as auto-transformer<\/figcaption><\/figure>\n<p>One of the defining principles of an auto-transformer is that it shares a common magnetic and electrical circuit. It is possible to connect a standard two-winding transformer as an auto-transformer. I know that this sounds like magic but it is very real. It is much like how we tested for the polarity of an additive or subtractive transformer.<\/p>\n<p>How the polarities are connected will determine whether or not the transformer is a buck or boost.\u00a0In a buck configuration, the two winding voltages will subtract from one another to provide the load voltage.\u00a0In a boost configuration, the two winding voltages will add to one another to provide the load voltage.<\/p>\n<h2 style=\"text-align: center\"><strong>Video Alert!<\/strong><\/h2>\n<p>This video will walk through how a buck\/boost auto-transformer operates and how to determine the calculations.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-3\" title=\"Buck boost Autotransformers\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/QtByASWDFwE?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<h1>Attributions<\/h1>\n<p class=\"no-indent\"><a href=\"https:\/\/youtu.be\/XgVxbjmdJ7s\">Step down auto transformer walk through<\/a> video by <a href=\"https:\/\/www.youtube.com\/channel\/UCRm79BcxKhOWRj6CQAB_Cqg\">The Electric Academy<\/a> is under a <a href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">Creative Commons Attribution License<\/a>.<\/p>\n<p class=\"no-indent\"><a href=\"https:\/\/youtu.be\/un0o4aMThwk\">Step up Autotransformer<\/a> video by <a href=\"https:\/\/www.youtube.com\/channel\/UCRm79BcxKhOWRj6CQAB_Cqg\">The Electric Academy<\/a> is under a <a href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">Creative Commons Attribution License<\/a>.<\/p>\n<p class=\"no-indent\"><a href=\"https:\/\/youtu.be\/QtByASWDFwE\">Buck boost Autotransformers<\/a> video by <a href=\"https:\/\/www.youtube.com\/channel\/UCRm79BcxKhOWRj6CQAB_Cqg\">The Electric Academy<\/a> is under a <a href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">Creative Commons Attribution License<\/a>.<\/p>\n","protected":false},"author":422,"menu_order":10,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-40","chapter","type-chapter","status-publish","hentry"],"part":3,"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-json\/pressbooks\/v2\/chapters\/40","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-json\/wp\/v2\/users\/422"}],"version-history":[{"count":12,"href":"https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-json\/pressbooks\/v2\/chapters\/40\/revisions"}],"predecessor-version":[{"id":249,"href":"https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-json\/pressbooks\/v2\/chapters\/40\/revisions\/249"}],"part":[{"href":"https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-json\/pressbooks\/v2\/parts\/3"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-json\/pressbooks\/v2\/chapters\/40\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-json\/wp\/v2\/media?parent=40"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-json\/pressbooks\/v2\/chapter-type?post=40"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-json\/wp\/v2\/contributor?post=40"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-json\/wp\/v2\/license?post=40"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}