{"id":2558,"date":"2024-08-24T09:26:32","date_gmt":"2024-08-24T09:26:32","guid":{"rendered":"https:\/\/workhouse.sweetdishy.com\/?p=2558"},"modified":"2024-08-24T09:26:33","modified_gmt":"2024-08-24T09:26:33","slug":"delta-star-and-star-delta-transformation","status":"publish","type":"post","link":"https:\/\/workhouse.sweetdishy.com\/index.php\/2024\/08\/24\/delta-star-and-star-delta-transformation\/","title":{"rendered":"DELTA\u2013STAR AND STAR\u2013DELTA TRANSFORMATION"},"content":{"rendered":"\n<p id=\"para-567\">To apply simple series\u2013parallel circuit technique for the solution of network, something is required to transform the resistors connected in delta to star or vice versa. At such places, just to simplify the network delta\u2013star or star\u2013delta transformations applied.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h4-014\"><a><\/a>2.9.1&nbsp;&nbsp;Delta\u2013Star Transformation<\/h4>\n\n\n\n<p id=\"para-568\">Consider a circuit shown in\u00a0Figure 2.67(a), where three resistors\u00a0<em>R<\/em><sub>AB<\/sub>,\u00a0<em>R<\/em><sub>BC<\/sub>, and\u00a0<em>R<\/em><sub>CA<\/sub>\u00a0are connected in delta. This circuit is converted to a star-connection circuit, as shown in\u00a0Figure 2.67(b). Let the resistance be\u00a0<em>R<\/em><sub>A<\/sub>,\u00a0<em>R<\/em><sub>B<\/sub>, and\u00a0<em>R<\/em><sub>C<\/sub>.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332558311\/files\/images\/page74_1.png\" alt=\"image\"\/><\/figure>\n\n\n\n<p id=\"para-569\"><strong>Fig. 2.67<\/strong>&nbsp;&nbsp;(a) Delta connections (b) Equivalent star connection<\/p>\n\n\n\n<p id=\"para-570\">For the two circuits to be equivalent, the resistance measured between any two of the terminals A, B, and C must be the same in the two cases.<\/p>\n\n\n\n<p id=\"para-571\"><em>R<\/em><sub>AB&nbsp;<\/sub>for star connections =&nbsp;<em>R<\/em><sub>AB<\/sub>&nbsp;for delta connections.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332558311\/files\/images\/page74_2.png\" alt=\"image\"\/><\/figure>\n\n\n\n<p id=\"para-572\">Similarly,<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332558311\/files\/images\/page74_3.png\" alt=\"image\"\/><\/figure>\n\n\n\n<p id=\"para-573\">and<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332558311\/files\/images\/page74_4.png\" alt=\"image\"\/><\/figure>\n\n\n\n<p id=\"para-574\">Subtracting\u00a0Equation (2.62)\u00a0from\u00a0Equation (2.61)\u00a0and adding the result to\u00a0Equation (2.63), we get<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332558311\/files\/images\/page74_5.png\" alt=\"image\"\/><\/figure>\n\n\n\n<p id=\"para-575\">To remember this relation, we should refer to\u00a0Figure 2.68. According to\u00a0Equations (2.64),\u00a0(2.65), and\u00a0(2.66),<\/p>\n\n\n\n<p>Resistance of any arm of&nbsp;<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9789332558311\/files\/images\/page74_6.png\" alt=\"image\" width=\"323\" height=\"45\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>To apply simple series\u2013parallel circuit technique for the solution of network, something is required to transform the resistors connected in delta to star or vice versa. At such places, just to simplify the network delta\u2013star or star\u2013delta transformations applied. 2.9.1&nbsp;&nbsp;Delta\u2013Star Transformation Consider a circuit shown in\u00a0Figure 2.67(a), where three resistors\u00a0RAB,\u00a0RBC, and\u00a0RCA\u00a0are connected in delta. This [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":2559,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[404],"tags":[],"class_list":["post-2558","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dc-circuit-analysis-and-network-theorems"],"jetpack_featured_media_url":"https:\/\/workhouse.sweetdishy.com\/wp-content\/uploads\/2024\/08\/images-3.png","_links":{"self":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/2558","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/comments?post=2558"}],"version-history":[{"count":1,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/2558\/revisions"}],"predecessor-version":[{"id":2560,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/2558\/revisions\/2560"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/media\/2559"}],"wp:attachment":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/media?parent=2558"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/categories?post=2558"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/tags?post=2558"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}