{"id":2077,"date":"2024-07-19T16:43:07","date_gmt":"2024-07-19T11:13:07","guid":{"rendered":"https:\/\/study.madeeasy.in\/?p=2077"},"modified":"2025-07-16T15:15:58","modified_gmt":"2025-07-16T09:45:58","slug":"bundled-conductors","status":"publish","type":"post","link":"https:\/\/www.madeeasy.in\/study\/ee\/power-systems\/bundled-conductors","title":{"rendered":"Bundled Conductors"},"content":{"rendered":"<h2 style=\"text-align: center;\">What is Bundled Conductors?<\/h2>\n<p style=\"text-align: justify;\">A \u201c<strong>bundled conductor<\/strong>\u201d is a conductor made up of two or more sub-conductors, called sub-conductors, per phase in close proximity compared with the spacing between phases. In lines of 400 kV and higher voltages instead of going for a hollow conductor it is preferable to use more than one conductor per phase which is called bundling of conductors.<br \/>\nBelow figure shows the arrangement of a bundled conductor consisting of two, three, or four sub conductors<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-2078 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/bundle-conductor.jpg\" alt=\" Bundle conductor\" width=\"578\" height=\"225\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/bundle-conductor.jpg 578w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/bundle-conductor-300x117.jpg 300w\" sizes=\"auto, (max-width: 578px) 100vw, 578px\" \/><\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-2081 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/four-stranded-bundle-conductor.jpg\" alt=\"Four Stranded Bundle Conductor\" width=\"561\" height=\"41\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/four-stranded-bundle-conductor.jpg 561w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/four-stranded-bundle-conductor-300x22.jpg 300w\" sizes=\"auto, (max-width: 561px) 100vw, 561px\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>Remember<\/strong><\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_79_1 ez-toc-wrap-left counter-hierarchy ez-toc-counter ez-toc-light-blue ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.madeeasy.in\/study\/ee\/power-systems\/bundled-conductors\/#Difference-between-a-composite-and-a-bundled-conductor\" >Difference between a composite and a bundled conductor:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.madeeasy.in\/study\/ee\/power-systems\/bundled-conductors\/#Various-advantages-of-bundled-conductor\" >Various advantages of bundled conductor<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.madeeasy.in\/study\/ee\/power-systems\/bundled-conductors\/#CORONA\" >CORONA<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.madeeasy.in\/study\/ee\/power-systems\/bundled-conductors\/#Effect-of-Corona\" >Effect of Corona<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.madeeasy.in\/study\/ee\/power-systems\/bundled-conductors\/#Critical-Disruptive-Voltage-Vd\" >Critical Disruptive Voltage (Vd)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.madeeasy.in\/study\/ee\/power-systems\/bundled-conductors\/#Visual-Critical-Voltage\" >Visual Critical Voltage<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.madeeasy.in\/study\/ee\/power-systems\/bundled-conductors\/#Corona-Power-Loss\" >Corona Power Loss<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.madeeasy.in\/study\/ee\/power-systems\/bundled-conductors\/#Power-Factor-Improvement-Methods\" >Power Factor Improvement Methods<\/a><\/li><\/ul><\/nav><\/div>\n<h3 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"Difference-between-a-composite-and-a-bundled-conductor\"><\/span><strong>Difference between a composite and a bundled conductor:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\"text-align: justify;\">The basis difference is that the sub-conductors of a bundled conductor are separated from each other by a constant distance varying from 0.2 m to 0.6 m depending upon designed voltage and surrounding conditions throughout the length of the line with the help of spacers whereas the wires of a composite conductor touch each other. The bundled conductors have filter material or air space inside so that the overall diameter is increased.<\/p>\n<h3 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"Various-advantages-of-bundled-conductor\"><\/span><strong>Various advantages of bundled conductor<br \/>\n<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul style=\"text-align: justify;\">\n<li style=\"text-align: justify;\">With the use of bundle conductors self GMD or GMR is increased which reduces the inductance of line and as a result, it decreases the inductive reactance. The lower inductance leads to a greater transmission capacity of the bundled conductor line.<\/li>\n<li style=\"text-align: justify;\">The bundle conductor lines transmit bulk power with reduced losses, thereby giving increased efficiency of transmission.<\/li>\n<li style=\"text-align: justify;\">Bundle conductor lines increases capacitance as (explained in next article) compared to single conductor line as a result of which charging current is increased, which helps in improving the power factor.<\/li>\n<li style=\"text-align: justify;\">Since surge impedance of line is : Zc = \u221aL\/C and bundle conductors decreases L and increases C therefore, bundle conductor lines have lower surge impedance compared to single conductor line which give rise to increase in maximum power transmission capability.<\/li>\n<li style=\"text-align: justify;\">Bundle conductors increases the critical disruptive voltage V<sub>d<\/sub> as a result of which corona loss is reduced. (explained in next articles of corona).<\/li>\n<\/ul>\n<h3 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"CORONA\"><\/span>CORONA<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\"text-align: justify;\">When the alternating potential difference between the two conductors of a transmission line is raised beyond a certain limit, a point is reached when a pale violet glow appears on the conductor surface, together with a slight hissing noise and a smell of ozone. This phenomenon is called \u201cCorona\u201d. The air particles around the conductor surface gets ionized and as a result corona occurs. This phenomenon is very much evident in transmission lines of 100 kV and above.<\/p>\n<h3 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"Effect-of-Corona\"><\/span>Effect of Corona<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul style=\"text-align: justify;\">\n<li>Occurrence of violet glow around the conductor.<\/li>\n<li>Ozone and oxides of nitrogen are produced.<\/li>\n<li>It produces hissing noise.<\/li>\n<li>Corona induces harmonic current as a result of which charging current increases.<\/li>\n<li>Corona causes power loss in the line.<\/li>\n<li>There is radio interference.<\/li>\n<\/ul>\n<h3 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"Critical-Disruptive-Voltage-Vd\"><\/span>Critical Disruptive Voltage (V<sub>d<\/sub>)<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\"text-align: justify;\">The minimum potential difference required between the conductors, to start ionization of air particles or the breakdown of the insulating properties of air occurs around the conductor surface and corona starts is known as \u201ccritical disruptive voltage\u201d \u201ccritical disruptive voltage\u201d denoted by V<sub>d<\/sub>.<\/p>\n<h4 style=\"text-align: justify;\"><strong>Disruptive Strength or Dielectric Strength of Air<\/strong><\/h4>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-2086 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/disruptive-strength-.jpg\" alt=\"Disruptive Strength \" width=\"633\" height=\"414\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/disruptive-strength-.jpg 633w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/disruptive-strength--300x196.jpg 300w\" sizes=\"auto, (max-width: 633px) 100vw, 633px\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>Note:<\/strong><\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-2089 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/dielectric-strength.png\" alt=\"Dielectric Strength\" width=\"564\" height=\"183\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/dielectric-strength.png 564w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/dielectric-strength-300x97.png 300w\" sizes=\"auto, (max-width: 564px) 100vw, 564px\" \/><\/p>\n<h3 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"Visual-Critical-Voltage\"><\/span><strong>Visual Critical Voltage<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul style=\"text-align: justify;\">\n<li>Visual critical voltage is defined as \u201cthe minimum voltage at which the visual corona beings\u201d.<\/li>\n<li>When the voltage applied corresponds to the critical disruptive voltage, corona starts but it is not visible because the charged ions in the air must get some finite energy to cause further ionization by collisions.<\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-2093 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/visual-critical-voltage.jpg\" alt=\"Visual critical voltage\" width=\"625\" height=\"332\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/visual-critical-voltage.jpg 625w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/visual-critical-voltage-300x159.jpg 300w\" sizes=\"auto, (max-width: 625px) 100vw, 625px\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>Note:<\/strong><\/p>\n<p style=\"text-align: justify;\">If the surface of conductor is irregular, the corona does not start simultaneously on the whole surface but it takes place at different points of conductor which are pointed and this is called local corona.<\/p>\n<h3 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"Corona-Power-Loss\"><\/span><strong>Corona Power Loss<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul style=\"text-align: justify;\">\n<li>The occurrence of corona results into loss of power, which reduces the efficiency of the transmission line, but don\u2019t have appreciable effects on the voltage regulations.<\/li>\n<li>Corona loss under fair weather conditions is given by Peek\u2019s formula as:<\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-2094 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/corona-power-loss.jpg\" alt=\"Corona Power Loss\" width=\"565\" height=\"135\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/corona-power-loss.jpg 565w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/corona-power-loss-300x72.jpg 300w\" sizes=\"auto, (max-width: 565px) 100vw, 565px\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>Remember:<\/strong><\/p>\n<ul style=\"text-align: justify;\">\n<li>For a 500 kV transmission line with three-conductors per phase bundle, corona loss is small varying from 1 to 2 kW\/km.<\/li>\n<li>Corona loss increases rapidly with bad weather, with frost being the worst situation.<\/li>\n<li>Due to several high-frequency harmonics in corona discharge, radio interference with the communication lines occur.<\/li>\n<li>Corona loss can be reduced by using large diameter conductors, hollow conductors and bundled conductors<\/li>\n<\/ul>\n<h4 style=\"text-align: justify;\">Factors Affecting Corona Loss<\/h4>\n<p style=\"text-align: justify;\">The various factors affecting corona-loss in a transmission line are explained as follows.<\/p>\n<p style=\"text-align: justify;\"><strong>Effect of Supply Frequency :<\/strong> From equation of corona loss, we have Pc \u03b1 (f+ 25) . Therefore, corona loss increases with the increase in supply frequency i.e., corona loss for HVDC lines are less than that for EHV AC transmission lines. For a monopolar HVDC line, corona loss is minimum.<br \/>\n<strong>Effect of System Voltage :<\/strong> Corona loss occurs due to high electric field around the surface of the conductor. Therefore, higher the potential difference between the conductors (system voltage) higher is the electric field hence, higher is the power loss due to corona.<br \/>\n<strong>Effect of Conductivity of Air:<\/strong> Higher is the conductivity of air, higher is the number of ions and higher is the power loss due to corona. During rain and thunder storms, ion contents increases and therefore, atmosphere becomes more conducting and as the result corona loss increases.<br \/>\n<strong>Effect of Density of Air : <\/strong>Corona loss increases with the decrease in the density of air. Corona loss is more in hilly regions than that of a similar line in plains due to reduced value of d at higher altitudes.<br \/>\n<strong>Effect of Conductor Radius :<\/strong> With the increase in conductor radius, electric field intensity at the surface of conductor decreases resulting in reduced corona loss.<br \/>\n<strong>Effect of Conductor Surface :<\/strong> Corona loss is more for stranded conductor than for a solid conductor due to high potential gradient at the surface of stranded conductor. Corona loss is more for conductors having rough surfaces.<br \/>\n<strong>Effect of Atmospheric Conditions :<\/strong>\u00a0 Corona loss is more in rainy and bad atmospheric conditions such as fog, sleet and snowstorms.<br \/>\n<strong>Effect of Distance Between Conductors :<\/strong> Corona loss, Pc a = 1\/\u221ad Hence if distance between conductors is increased corona loss reduces.<br \/>\n<strong>Polarity of Conductors :<\/strong> For conductor of positive polarity, corona loss is more than for a conductor of negative polarity.<br \/>\n<strong>Bundling of Conductors :<\/strong> The effective diameter of the bundled conductor is much larger than that of the equivalent single conductor as a result of which corona loss is reduced.<\/p>\n<h4 style=\"text-align: justify;\">Practical Importance of Corona<\/h4>\n<p style=\"text-align: justify;\">Corona acts as a safety valve for the conductor surface and decreases the impact of lightning surges on the surface of the conductor. It reduces the magnitude of high voltage steep fronted waves due to lighting or switching by partially dissipating them as corona loss.<\/p>\n<h4 style=\"text-align: justify;\">Transmission matrix:<\/h4>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-2104 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/transmission-matrix.jpg\" alt=\"Transmission matrix\" width=\"397\" height=\"346\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/transmission-matrix.jpg 397w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/transmission-matrix-300x261.jpg 300w\" sizes=\"auto, (max-width: 397px) 100vw, 397px\" \/><\/p>\n<h3 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"Power-Factor-Improvement-Methods\"><\/span>Power Factor Improvement Methods<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\"text-align: justify;\">There are two method through which we can improve the power factor :<\/p>\n<p style=\"text-align: justify;\"><strong>(i) Receiving end method :<\/strong><br \/>\n(a) Shunt capacitor<br \/>\n(b) Shunt reactor<br \/>\n(c) Synchronous phase modifier (SPM)<br \/>\n(d) Series capacitor<br \/>\n(e) On-load tap changing transformer<br \/>\n(f) Booster transformer<\/p>\n<p style=\"text-align: justify;\"><strong>(ii) Sending end method :<\/strong><br \/>\n(a) Generator excitation control<\/p>\n<p style=\"text-align: center;\"><a class=\"btn btn-danger\" role=\"button\" href=\"https:\/\/study.madeeasy.in\/ee\/power-systems\/ferranti-effect\/\" target=\"_blank\" rel=\"noopener\">&lt;&lt; Previous<\/a> | <a class=\"btn btn-success\" role=\"button\" href=\"https:\/\/study.madeeasy.in\/ee\/power-systems\/distribution-systems\/\" target=\"_blank\" rel=\"noopener\"> Next &gt;&gt;<\/a><br \/>\n<strong> Must Read: <\/strong> <a href=\"https:\/\/study.madeeasy.in\/subjects\/what-is-power-systems\/\" target=\"_blank\" rel=\"noopener\"><strong>What is Power Systems?<\/strong><\/a><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is Bundled Conductors? A \u201cbundled conductor\u201d is a conductor made up of two or more sub-conductors, called sub-conductors, per<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[576,5],"tags":[585,584,583,591,590],"class_list":["post-2077","post","type-post","status-publish","format-standard","hentry","category-power-systems","category-ee","tag-corona","tag-critical-disruptive-voltage","tag-disruptive-strength","tag-transmission-matrix","tag-visual-critical-voltage"],"_links":{"self":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/2077","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/comments?post=2077"}],"version-history":[{"count":0,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/2077\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/media?parent=2077"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/categories?post=2077"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/tags?post=2077"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}