{"id":27,"date":"2019-07-04T10:51:56","date_gmt":"2019-07-04T14:51:56","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/?post_type=chapter&#038;p=27"},"modified":"2020-01-22T15:05:04","modified_gmt":"2020-01-22T20:05:04","slug":"additive-and-subtractive-polarity","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/chapter\/additive-and-subtractive-polarity\/","title":{"raw":"Additive and Subtractive Polarity","rendered":"Additive and Subtractive Polarity"},"content":{"raw":"<h2>It's All about the Instantaneous Polarity!<\/h2>\r\n<span>Polarity in an AC circuit is constantly changing direction and magnitude. When we talk about the polarity of a transformer, we mean an instantaneous polarity.\u00a0<\/span>\r\n\r\n<span>The high-voltage windings are always referred to as H<sub>1<\/sub> and H<sub>2<\/sub>.\u00a0<\/span><span style=\"font-size: 14pt\">The low-voltage windings are always referred to as X<sub>1<\/sub> and X<sub>2<\/sub>.\u00a0<\/span><span style=\"font-size: 14pt\">If we take an instantaneous polarity, H<sub>1<\/sub> and X<sub>1<\/sub> will always have the same polarity.\u00a0<\/span>\r\n\r\n<span>Transformers are referred to as having either\u00a0<em>additive<\/em>\u00a0polarity or\u00a0<em>subtractive<\/em>\u00a0polarity. What this refers to is the relative position of high-voltage terminals with respect to the low-voltage terminals as they are brought out of the transformer case. Observing the transformer from the side where the low voltage terminals are brought out, H<sub>1<\/sub>\u00a0is always located on the left-hand side of the transformer, as shown in Figure 4. Then:<\/span>\r\n<ul>\r\n \t<li><span>If the X<sub>1<\/sub>\u00a0terminal is directly across from the H<sub>1<\/sub>\u00a0terminal, the transformer has subtractive polarity.<\/span><\/li>\r\n<\/ul>\r\n<ul>\r\n \t<li><span>If the X<sub>1<\/sub>\u00a0terminal sits diagonally across from the H<sub>1<\/sub>\u00a0terminal, the transformer has additive polarity.<\/span><\/li>\r\n<\/ul>\r\n[caption id=\"attachment_71\" align=\"aligncenter\" width=\"1024\"]<img src=\"https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-content\/uploads\/sites\/777\/2019\/07\/Instantaneous-Polarity-e1565906496168-1024x723.png\" alt=\"\" width=\"1024\" height=\"723\" class=\"wp-image-71 size-large\" \/> Figure 4. Additive and subtractive polarities[\/caption]\r\n\r\n<span>Sometimes we must determine the polarity of a transformer (the markings have worn off, for example).<\/span>\r\n<div align=\"left\"><strong style=\"font-family: Roboto, Helvetica, Arial, sans-serif;font-size: 1.2rem\">AC Voltmeter Test<\/strong>\r\n<span><\/span><\/div>\r\n<div align=\"left\">\r\n<ol>\r\n \t<li><span>Identify which leads are H leads and which are X leads. This can be done from the gauge and insulation of the windings. High voltage (H), thinner wire, thicker insulation. Low voltage (X), thicker wire, thinner insulation.<\/span><span><\/span><\/li>\r\n \t<li>Pick one terminal of the H windings and mark it as H<sub>1<\/sub>. The other terminal will be H<sub>2<\/sub> (Thanks to Captain Obvious!).<\/li>\r\n \t<li>Place a jumper between H<sub>1<\/sub> and the adjacent X terminal.<\/li>\r\n \t<li>Apply a voltage to the high side of the transformer. To be safe, keep the value relatively low.<\/li>\r\n \t<li>Place a voltmeter between H<sub>2<\/sub> and the other X terminal. If the voltmeter has a subtractive polarity, the voltmeter will read the difference between the high-side voltage and low-side voltage. If the transformer has an additive polarity, the voltmeter will read the sum of the high-side voltage and low-side voltage.<\/li>\r\n<\/ol>\r\n&nbsp;\r\n\r\n[caption id=\"attachment_72\" align=\"aligncenter\" width=\"1024\"]<img src=\"https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-content\/uploads\/sites\/777\/2019\/07\/AC-Voltmeter-Test-e1565906558969-1024x488.png\" alt=\"\" width=\"1024\" height=\"488\" class=\"wp-image-72 size-large\" \/> Figure 5. AC voltmeter test[\/caption]\r\n<p align=\"left\"><span>In summary:<\/span><\/p>\r\n\r\n<ul>\r\n \t<li><span>Using the turns ratio, we can put a lower voltage than rated on the primary.<\/span><\/li>\r\n \t<li><span>Place a jumper from one H lead to an X lead.<\/span><\/li>\r\n \t<li><span>Read the voltage across the two leads not jumped.<\/span><\/li>\r\n \t<li><span>If the voltage is the sum of the primary and secondary, then the transformer is additive.<\/span><\/li>\r\n \t<li><span>If the voltage is the difference of the primary and secondary, then the transformer is subtractive.<\/span><\/li>\r\n<\/ul>\r\n<\/div>","rendered":"<h2>It&#8217;s All about the Instantaneous Polarity!<\/h2>\n<p><span>Polarity in an AC circuit is constantly changing direction and magnitude. When we talk about the polarity of a transformer, we mean an instantaneous polarity.\u00a0<\/span><\/p>\n<p><span>The high-voltage windings are always referred to as H<sub>1<\/sub> and H<sub>2<\/sub>.\u00a0<\/span><span style=\"font-size: 14pt\">The low-voltage windings are always referred to as X<sub>1<\/sub> and X<sub>2<\/sub>.\u00a0<\/span><span style=\"font-size: 14pt\">If we take an instantaneous polarity, H<sub>1<\/sub> and X<sub>1<\/sub> will always have the same polarity.\u00a0<\/span><\/p>\n<p><span>Transformers are referred to as having either\u00a0<em>additive<\/em>\u00a0polarity or\u00a0<em>subtractive<\/em>\u00a0polarity. What this refers to is the relative position of high-voltage terminals with respect to the low-voltage terminals as they are brought out of the transformer case. Observing the transformer from the side where the low voltage terminals are brought out, H<sub>1<\/sub>\u00a0is always located on the left-hand side of the transformer, as shown in Figure 4. Then:<\/span><\/p>\n<ul>\n<li><span>If the X<sub>1<\/sub>\u00a0terminal is directly across from the H<sub>1<\/sub>\u00a0terminal, the transformer has subtractive polarity.<\/span><\/li>\n<\/ul>\n<ul>\n<li><span>If the X<sub>1<\/sub>\u00a0terminal sits diagonally across from the H<sub>1<\/sub>\u00a0terminal, the transformer has additive polarity.<\/span><\/li>\n<\/ul>\n<figure id=\"attachment_71\" aria-describedby=\"caption-attachment-71\" 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\/Instantaneous-Polarity-e1565906496168-1024x723.png\" alt=\"\" width=\"1024\" height=\"723\" class=\"wp-image-71 size-large\" srcset=\"https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-content\/uploads\/sites\/777\/2019\/07\/Instantaneous-Polarity-e1565906496168-1024x723.png 1024w, https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-content\/uploads\/sites\/777\/2019\/07\/Instantaneous-Polarity-e1565906496168-300x212.png 300w, https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-content\/uploads\/sites\/777\/2019\/07\/Instantaneous-Polarity-e1565906496168-768x542.png 768w, https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-content\/uploads\/sites\/777\/2019\/07\/Instantaneous-Polarity-e1565906496168-65x46.png 65w, https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-content\/uploads\/sites\/777\/2019\/07\/Instantaneous-Polarity-e1565906496168-225x159.png 225w, https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-content\/uploads\/sites\/777\/2019\/07\/Instantaneous-Polarity-e1565906496168-350x247.png 350w, https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-content\/uploads\/sites\/777\/2019\/07\/Instantaneous-Polarity-e1565906496168.png 1326w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption id=\"caption-attachment-71\" class=\"wp-caption-text\">Figure 4. Additive and subtractive polarities<\/figcaption><\/figure>\n<p><span>Sometimes we must determine the polarity of a transformer (the markings have worn off, for example).<\/span><\/p>\n<div style=\"text-align: left;\"><strong style=\"font-family: Roboto, Helvetica, Arial, sans-serif;font-size: 1.2rem\">AC Voltmeter Test<\/strong><br \/>\n<span><\/span><\/div>\n<div style=\"text-align: left;\">\n<ol>\n<li><span>Identify which leads are H leads and which are X leads. This can be done from the gauge and insulation of the windings. High voltage (H), thinner wire, thicker insulation. Low voltage (X), thicker wire, thinner insulation.<\/span><span><\/span><\/li>\n<li>Pick one terminal of the H windings and mark it as H<sub>1<\/sub>. The other terminal will be H<sub>2<\/sub> (Thanks to Captain Obvious!).<\/li>\n<li>Place a jumper between H<sub>1<\/sub> and the adjacent X terminal.<\/li>\n<li>Apply a voltage to the high side of the transformer. To be safe, keep the value relatively low.<\/li>\n<li>Place a voltmeter between H<sub>2<\/sub> and the other X terminal. If the voltmeter has a subtractive polarity, the voltmeter will read the difference between the high-side voltage and low-side voltage. If the transformer has an additive polarity, the voltmeter will read the sum of the high-side voltage and low-side voltage.<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<figure id=\"attachment_72\" aria-describedby=\"caption-attachment-72\" 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\/AC-Voltmeter-Test-e1565906558969-1024x488.png\" alt=\"\" width=\"1024\" height=\"488\" class=\"wp-image-72 size-large\" srcset=\"https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-content\/uploads\/sites\/777\/2019\/07\/AC-Voltmeter-Test-e1565906558969-1024x488.png 1024w, https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-content\/uploads\/sites\/777\/2019\/07\/AC-Voltmeter-Test-e1565906558969-300x143.png 300w, https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-content\/uploads\/sites\/777\/2019\/07\/AC-Voltmeter-Test-e1565906558969-768x366.png 768w, https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-content\/uploads\/sites\/777\/2019\/07\/AC-Voltmeter-Test-e1565906558969-65x31.png 65w, https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-content\/uploads\/sites\/777\/2019\/07\/AC-Voltmeter-Test-e1565906558969-225x107.png 225w, https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-content\/uploads\/sites\/777\/2019\/07\/AC-Voltmeter-Test-e1565906558969-350x167.png 350w, https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-content\/uploads\/sites\/777\/2019\/07\/AC-Voltmeter-Test-e1565906558969.png 1966w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption id=\"caption-attachment-72\" class=\"wp-caption-text\">Figure 5. AC voltmeter test<\/figcaption><\/figure>\n<p style=\"text-align: left;\"><span>In summary:<\/span><\/p>\n<ul>\n<li><span>Using the turns ratio, we can put a lower voltage than rated on the primary.<\/span><\/li>\n<li><span>Place a jumper from one H lead to an X lead.<\/span><\/li>\n<li><span>Read the voltage across the two leads not jumped.<\/span><\/li>\n<li><span>If the voltage is the sum of the primary and secondary, then the transformer is additive.<\/span><\/li>\n<li><span>If the voltage is the difference of the primary and secondary, then the transformer is subtractive.<\/span><\/li>\n<\/ul>\n<\/div>\n","protected":false},"author":422,"menu_order":4,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-27","chapter","type-chapter","status-publish","hentry"],"part":3,"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-json\/pressbooks\/v2\/chapters\/27","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":10,"href":"https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-json\/pressbooks\/v2\/chapters\/27\/revisions"}],"predecessor-version":[{"id":244,"href":"https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-json\/pressbooks\/v2\/chapters\/27\/revisions\/244"}],"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\/27\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-json\/wp\/v2\/media?parent=27"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-json\/pressbooks\/v2\/chapter-type?post=27"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-json\/wp\/v2\/contributor?post=27"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/singlephasetransformers\/wp-json\/wp\/v2\/license?post=27"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}