{"id":1327,"date":"2024-07-10T16:47:45","date_gmt":"2024-07-10T11:17:45","guid":{"rendered":"https:\/\/study.madeeasy.in\/?p=1327"},"modified":"2025-09-08T14:57:28","modified_gmt":"2025-09-08T09:27:28","slug":"error-electrodynamometer-wattmeters","status":"publish","type":"post","link":"https:\/\/www.madeeasy.in\/study\/ee\/electrical-electronic-measurements\/error-electrodynamometer-wattmeters","title":{"rendered":"Error in Electrodynamometer Wattmeters"},"content":{"rendered":"<p style=\"text-align: justify;\">The error occurring in electrodynamometer wattmeters are explained as under :<\/p>\n<p style=\"text-align: justify;\"><strong>1. Error due to Connection<\/strong><\/p>\n<p style=\"text-align: justify;\">There are two methods of connecting a wattmeter in a circuit as shown in fig. (a) and (b). Due to the power loss in pressure coil and current coil, there is error in the measurement of power.<\/p>\n<p style=\"text-align: justify;\">The wattmeter measures the power consumed by the load plus the power loss in c.c. or p.c.<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1328 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/different-wattmeter-connections.jpg\" alt=\"Different Wattmeter Connections\" width=\"568\" height=\"212\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/different-wattmeter-connections.jpg 568w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/different-wattmeter-connections-300x112.jpg 300w\" sizes=\"auto, (max-width: 568px) 100vw, 568px\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>Connection-I:<\/strong><\/p>\n<p style=\"text-align: justify;\">Let <em>r<sub>c<\/sub> <\/em>= resistance of current coil, <em>I<sub>c<\/sub> <\/em>= current through current coil = load current<br \/>\nHere, p.c. is connected on the supply side.<br \/>\nHere, wattmeter measures the power in its current coil in addition to the power consumed by load<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1330 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/true-power.jpg\" alt=\"True Power\" width=\"251\" height=\"99\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>Note:<\/strong><\/p>\n<ul style=\"text-align: justify;\">\n<li>For low value of load current, <em>I<sub>c<\/sub><\/em> will be low.<\/li>\n<li>Therefore, Connection-I is suitable for the measurement of power for low value of load current.<\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><strong>Connection-II:<\/strong><\/p>\n<p style=\"text-align: justify;\">Let the resistance of the c.c. be very small, <em>I<sub>P<\/sub><\/em> = current through the pressure coil<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1333 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/wattmeter.jpg\" alt=\"Wattmeter\" width=\"408\" height=\"97\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/wattmeter.jpg 408w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/wattmeter-300x71.jpg 300w\" sizes=\"auto, (max-width: 408px) 100vw, 408px\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>Note:<\/strong><\/p>\n<p style=\"text-align: justify;\">Where <em>I<\/em> is high then, I<sub>P<\/sub> will be low and error will be less.<br \/>\n\u2022 Therefore, Connection-II is preferred when the load current is higher.<br \/>\n\u2022 When error in Connection-I and II are equal then,<\/p>\n<p style=\"text-align: justify;\"><em>I <sub>c<\/sub><sup>2<\/sup>r<sub>c<\/sub> = V<sup>2\/<\/sup><\/em><em>R<sub>s<\/sub><\/em><\/p>\n<p style=\"text-align: justify;\"><strong>Error due to Pressure Coil Inductance<\/strong><\/p>\n<p style=\"text-align: justify;\">Fig. (a) and (b) shows an electrodynamometer wattmeter without pressure coil inductance and with pressure coil inductance.<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1334 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/error-due-to-pressure-coil-inductance.jpg\" alt=\"Error due to Pressure Coil Inductance\" width=\"577\" height=\"223\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/error-due-to-pressure-coil-inductance.jpg 577w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/error-due-to-pressure-coil-inductance-300x116.jpg 300w\" sizes=\"auto, (max-width: 577px) 100vw, 577px\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>Without Inductance in p.c.:<\/strong><\/p>\n<p style=\"text-align: justify;\">Here, current <em>I<sub>1<\/sub><\/em> will be in phase with applied voltage V<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1337 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/Inductance.jpg\" alt=\"Inductance\" width=\"677\" height=\"136\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/Inductance.jpg 677w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/Inductance-300x60.jpg 300w\" sizes=\"auto, (max-width: 677px) 100vw, 677px\" \/><\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1339 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/phasor-diagram.jpg\" alt=\"Phasor diagram\" width=\"657\" height=\"340\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/phasor-diagram.jpg 657w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/phasor-diagram-300x155.jpg 300w\" sizes=\"auto, (max-width: 657px) 100vw, 657px\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>Wattmeter with Pressure Coil Inductance:<\/strong><\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1340 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/pressure-coil-inductance.jpg\" alt=\" Pressure Coil Inductance\" width=\"491\" height=\"474\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/pressure-coil-inductance.jpg 491w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/pressure-coil-inductance-300x290.jpg 300w\" sizes=\"auto, (max-width: 491px) 100vw, 491px\" \/><\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1394 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/Screenshot-2024-07-11-125225.png\" alt=\"\" width=\"819\" height=\"433\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/Screenshot-2024-07-11-125225.png 819w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/Screenshot-2024-07-11-125225-300x159.png 300w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/Screenshot-2024-07-11-125225-768x406.png 768w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/Screenshot-2024-07-11-125225-390x205.png 390w\" sizes=\"auto, (max-width: 819px) 100vw, 819px\" \/><\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1395 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/Screenshot-2024-07-11-125311.png\" alt=\"\" width=\"771\" height=\"363\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/Screenshot-2024-07-11-125311.png 771w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/Screenshot-2024-07-11-125311-300x141.png 300w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/Screenshot-2024-07-11-125311-768x362.png 768w\" sizes=\"auto, (max-width: 771px) 100vw, 771px\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>Two Wattmeter Method<\/strong><\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1343 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/two-wattmeter-method.jpg\" alt=\"Two wattmeter method\" width=\"379\" height=\"321\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/two-wattmeter-method.jpg 379w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/two-wattmeter-method-300x254.jpg 300w\" sizes=\"auto, (max-width: 379px) 100vw, 379px\" \/><\/p>\n<ul style=\"text-align: justify;\">\n<li>In a 3-phase, 3-wire system we require 3 elements to measure power but since the common points of the pressure coil coincide with one of the lines, only two wattmeters or elements are required to measure the power.<\/li>\n<li>Above figure shows the connection diagram for measuring power in a 3-phase system using two-wattmeter method.<\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1345 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/phasor-diagram-for-wattmeter.jpg\" alt=\" Phasor diagram for wattmeter\" width=\"693\" height=\"374\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/phasor-diagram-for-wattmeter.jpg 693w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/phasor-diagram-for-wattmeter-300x162.jpg 300w\" sizes=\"auto, (max-width: 693px) 100vw, 693px\" \/><\/p>\n<p style=\"text-align: justify;\">For star connection, we have<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1350 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/phasor-1.jpg\" alt=\"Phasor\" width=\"647\" height=\"548\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/phasor-1.jpg 647w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/phasor-1-300x254.jpg 300w\" sizes=\"auto, (max-width: 647px) 100vw, 647px\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>Measurement of Power Factor<\/strong><\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1352 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/measurement-of-power-factor.jpg\" alt=\"Measurement of Power Factor \" width=\"628\" height=\"230\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/measurement-of-power-factor.jpg 628w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/measurement-of-power-factor-300x110.jpg 300w\" sizes=\"auto, (max-width: 628px) 100vw, 628px\" \/><\/p>\n<p style=\"text-align: justify;\">\u2234 p.f. of circuit = cos \u03c6<\/p>\n<p style=\"text-align: justify;\"><strong>Measurement of Reactive Power using Wattmeter<\/strong><\/p>\n<p style=\"text-align: justify;\">For measurement of reactive power using wattmeter, the current coil is connected between one of the phases of R, Y, B (i.e., R) then, the potential coil should be connected between the remaining two phases (i.e., Y and B). Below figure shows the connection diagram for the measurement of 3 phase reactive power using wattmeter.<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1354 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/measurement-of-reactive-power.jpg\" alt=\"Measurement of reactive power\" width=\"575\" height=\"388\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/measurement-of-reactive-power.jpg 575w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/measurement-of-reactive-power-300x202.jpg 300w\" sizes=\"auto, (max-width: 575px) 100vw, 575px\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>Variation in Wattmeter Readings<\/strong><\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1355 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/variation-in-wattmeter-readings.jpg\" alt=\"Variation in Wattmeter Readings \" width=\"566\" height=\"219\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/variation-in-wattmeter-readings.jpg 566w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/variation-in-wattmeter-readings-300x116.jpg 300w\" sizes=\"auto, (max-width: 566px) 100vw, 566px\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>Remember:<\/strong><\/p>\n<ul>\n<li style=\"text-align: justify;\">If one of the wattmeter shows \u2013ve value then, this indicates that the load is a reactive. element, i.e., an inductor or a capacitor which consumes the reactive power.<\/li>\n<li style=\"text-align: justify;\">When p.f. angle = 60\u00b0 or p.f. = 0.5, only single wattmeter measures entire 3-phase power.<\/li>\n<li style=\"text-align: justify;\">When p.f. angle = 60\u00b0 or p.f. = 0.5, one wattmeter shows zero deflection.<\/li>\n<li style=\"text-align: justify;\">When p.f. angle &gt; 60\u00b0 or p.f. = 0.5, one of the wattmeter shows \u2013ve deflection.<\/li>\n<li style=\"text-align: justify;\">When p.f. angle &lt; 60\u00b0 or p.f. = 0.5, two wattmeter shows +ve deflection.<\/li>\n<li style=\"text-align: justify;\">When one of the wattmeter shows \u2013ve deflection, the range of p.f. is from 0 to 0.5.<\/li>\n<li style=\"text-align: justify;\">When two wattmeter show +ve deflection, then range of the p.f. is from 0.5 to 1.<\/li>\n<\/ul>\n<p style=\"text-align: center;\"><a class=\"btn btn-danger\" role=\"button\" href=\"https:\/\/study.madeeasy.in\/ee\/electrical-electronic-measurements\/applications-of-electrodynamometer-type-instruments\/\" target=\"_blank\" rel=\"noopener\">&lt;&lt; Previous<\/a> | <a class=\"btn btn-success\" role=\"button\" href=\"https:\/\/study.madeeasy.in\/ee\/electrical-electronic-measurements\/cathode-ray-tube\/\" target=\"_blank\" rel=\"noopener\"> Next &gt;&gt;<\/a><br \/>\n<strong> Must Read: <\/strong> <a href=\"https:\/\/study.madeeasy.in\/subjects\/what-are-the-electrical-and-electronics-measurements\/\" target=\"_blank\" rel=\"noopener\"><strong>What are the Electrical and Electronics Measurements?<\/strong><\/a><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The error occurring in electrodynamometer wattmeters are explained as under : 1. Error due to Connection There are two methods<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[389,5],"tags":[404,406,405,403,401,402],"class_list":["post-1327","post","type-post","status-publish","format-standard","hentry","category-electrical-electronic-measurements","category-ee","tag-inductance","tag-measurement-of-power-factor","tag-phasor-diagram","tag-pressure-coil-inductance","tag-true-power","tag-wattmeter"],"_links":{"self":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/1327","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=1327"}],"version-history":[{"count":0,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/1327\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/media?parent=1327"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/categories?post=1327"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/tags?post=1327"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}