{"id":30428,"date":"2018-08-02T20:17:29","date_gmt":"2018-08-02T14:47:29","guid":{"rendered":"https:\/\/3-inst.toejvy8-liquidwebsites.com\/?p=30428"},"modified":"2018-08-02T20:17:29","modified_gmt":"2018-08-02T14:47:29","slug":"unbalanced-3-phase-loads","status":"publish","type":"post","link":"https:\/\/instrumentationtools.com\/unbalanced-3-phase-loads\/","title":{"rendered":"Unbalanced 3 Phase Loads"},"content":{"rendered":"<p style=\"text-align: justify;\">An important property of a <a href=\"https:\/\/instrumentationtools.com\/power-in-balanced-3-phase-loads\/\" target=\"_blank\" rel=\"noopener\">three-phase balanced system<\/a> is that the phasor sum of the three line or phase voltages is zero, and the phasor sum of the three line or phase currents is zero. When the three load impedances are not equal to one another, the phasor sums and the neutral current (I<sub>n<\/sub>) are not zero, and the load is, therefore, unbalanced. The imbalance occurs when an open or short circuit appears at the load.<\/p>\n<p style=\"text-align: justify;\">If a three-phase system has an unbalanced load and an unbalanced power source, the methods of fixing the system are complex. Therefore, we will only consider an unbalanced load with a balanced power source.<\/p>\n<p style=\"text-align: justify;\"><strong>Example:<\/strong><\/p>\n<p style=\"text-align: justify;\">A 3\u03c6 balanced system, as shown in Figure 16a, contains a wye load. The line-to- line voltage is 240V, and the resistance is 40 \u2126 in each branch.<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-30429\" src=\"https:\/\/instrumentationtools.com\/wp-content\/uploads\/2018\/08\/Unbalanced-3-Phase-Loads.png\" alt=\"Unbalanced 3 Phase Loads\" width=\"1246\" height=\"610\" \/><\/p>\n<p style=\"text-align: center;\">Figure 16 : 3\u03c6 Unbalanced Load<\/p>\n<p style=\"text-align: justify;\">Find line current and neutral current for the following load conditions.<\/p>\n<ol style=\"text-align: justify;\">\n<li>balanced load<\/li>\n<li>open circuit phase A (Figure 16b)<\/li>\n<li>short circuit in phase A (Figure 16c)<\/li>\n<\/ol>\n<p style=\"text-align: justify;\"><strong>Solution :\u00a0balanced load<\/strong><\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-30431 alignnone\" src=\"https:\/\/instrumentationtools.com\/wp-content\/uploads\/2018\/08\/Unbalanced-3-Phase-Loads-Current-Equation.png\" alt=\"Unbalanced 3 Phase Loads Current Equation\" width=\"510\" height=\"359\" \/><\/p>\n<p style=\"text-align: justify;\">I<sub>L<\/sub>\u00a0= 138.7\/40<\/p>\n<p style=\"text-align: justify;\">I<sub>L<\/sub>\u00a0= 3.5 amps<\/p>\n<p style=\"text-align: justify;\">I<sub>N<\/sub>\u00a0= 0<\/p>\n<p style=\"text-align: justify;\"><strong>Solution : Answer for open circuit phase A<\/strong><\/p>\n<p style=\"text-align: justify;\">2. Current flow in lines B and C becomes the resultant of the loads in B and C connected in series.<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-30432\" src=\"https:\/\/instrumentationtools.com\/wp-content\/uploads\/2018\/08\/Unbalanced-3-Phase-Loads-Current-Equation-1.png\" alt=\"Unbalanced 3 Phase Loads Current Equation - 1\" width=\"382\" height=\"89\" \/><\/p>\n<p style=\"text-align: justify;\">I<sub>B<\/sub>\u00a0= 240\/40+40<\/p>\n<p style=\"text-align: justify;\">I<sub>B<\/sub>\u00a0= 3 amps<\/p>\n<p style=\"text-align: justify;\">so, I<sub>C\u00a0<\/sub>= 3 amps<\/p>\n<p style=\"text-align: justify;\">I<sub>N\u00a0<\/sub>=\u00a0I<sub>B +<\/sub>\u00a0I<sub>C\u00a0<\/sub>= 6 amps<\/p>\n<p style=\"text-align: justify;\">3.\u00a0<strong>Answer for short circuit in phase A<\/strong><\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-30433\" src=\"https:\/\/instrumentationtools.com\/wp-content\/uploads\/2018\/08\/Unbalanced-3-Phase-Loads-Current-Equation-2.png\" alt=\"Unbalanced 3 Phase Loads Current Equation - 2\" width=\"350\" height=\"100\" \/><\/p>\n<p style=\"text-align: justify;\">I<sub>B<\/sub>\u00a0= 240\/40<\/p>\n<p style=\"text-align: justify;\">I<sub>B<\/sub>\u00a0= 6 amps<\/p>\n<p style=\"text-align: justify;\">so\u00a0I<sub>C<\/sub>\u00a0= 6 amps<\/p>\n<p style=\"text-align: justify;\">The current in Phase A is equal to the neutral line current,\u00a0I<sub>A<\/sub>\u00a0=\u00a0I<sub>N<\/sub><\/p>\n<p style=\"text-align: justify;\">Therefore, I<sub>N<\/sub> is the phasor sum of I<sub>B<\/sub>\u00a0=\u00a0I<sub>C<\/sub><\/p>\n<p style=\"text-align: justify;\">I<sub>N<\/sub>\u00a0= <em>\u221a3\u00a0I<sub>B<\/sub><\/em><\/p>\n<p style=\"text-align: justify;\">I<sub>N<\/sub>\u00a0= 1.73 x 6<\/p>\n<p style=\"text-align: justify;\">I<sub>N<\/sub>\u00a0= 10.4 amps<\/p>\n<p style=\"text-align: justify;\">In a fault condition, the neutral connection in a wye-connected load will carry more current than the phase under a balanced load. Unbalanced three-phase circuits are indicated by abnormally high currents in one or more of the phases. This may cause damage to equipment if the imbalance is allowed to continue.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>An important property of a three-phase balanced system is that the phasor sum of the three line or phase voltages is zero, and the phasor sum of the three line or phase currents is zero. When the three load impedances are not equal to one another, the phasor sums and the neutral current (In) are [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":30429,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_mo_disable_npp":"","footnotes":""},"categories":[52403],"tags":[53038,53039],"class_list":{"0":"post-30428","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-electrical-theory","8":"tag-unbalanced-3-phase-loads","9":"tag-unbalanced-3-phase-loads-current-equation"},"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.4 (Yoast SEO v27.4) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Unbalanced 3 Phase Loads - Inst Tools<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/instrumentationtools.com\/unbalanced-3-phase-loads\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Unbalanced 3 Phase Loads\" \/>\n<meta property=\"og:description\" content=\"An important property of a three-phase balanced system is that the phasor sum of the three line or phase voltages is zero, and the phasor sum of the three line or phase currents is zero. 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