{"id":62008,"date":"2021-11-16T13:50:59","date_gmt":"2021-11-16T11:50:59","guid":{"rendered":"https:\/\/wpcalc.com\/?p=62008"},"modified":"2025-05-09T09:45:17","modified_gmt":"2025-05-09T06:45:17","slug":"three-phase-power-by-two-watt-meters-method","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/en\/engineering\/three-phase-power-by-two-watt-meters-method\/","title":{"rendered":"Three-Phase Power by Two Wattmeters Calculator"},"content":{"rendered":"<section class=\"not-prose calculator-box\" aria-labelledby=\"calculator-title\"><div class=\"flex items-baseline sm:items-center justify-between gap-2 sm:gap-3\"><div class=\"flex flex-col sm:flex-row sm:items-center gap-2\"><span class=\"icon icon-calculator text-primary-700! text-base! dark:text-primary-300!\" aria-hidden=\"true\"><\/span><h2 class=\"text-lg font-display font-bold\">Two Wattmeters Power Measurement Tool<\/h2><\/div><div class=\"relative group inline-block\">\n  <button class=\"favorite\" id=\"favorite\" data-favorite-id=\"62008\" data-favorite-title=\"Three-Phase Power by Two Wattmeters\" data-favorite-url=\"https:\/\/wpcalc.com\/en\/engineering\/three-phase-power-by-two-watt-meters-method\/\" data-favorite-excerpt=\"This calculator estimates the total active power in a three-phase system using the two-wattmeter method. It\u2019s commonly used for both balanced and unbalanced load systems in electrical engineering. You can input line voltages, line currents, and the phase angle between voltage and current.\" aria-label=\"Add to Favorites\" data-favorite-icon=\"icon icon-electrical\">\n    <span class=\"icon icon-shape-star-empty\"><\/span>\n  <\/button>\n  <div class=\"absolute right-full -translate-y-1\/2 top-1\/2 mr-2 w-max max-w-xs px-3 py-2 bg-gray-800 text-white text-xs rounded shadow-lg opacity-0 group-hover:opacity-100 transition-opacity duration-200 z-10 pointer-events-none\">\n   <span class=\"favorite-tooltip\" id=\"favorite-tooltip\"><\/span>\n  <\/div>\n<\/div><\/div><form action=\"https:\/\/wpcalc.com\/en\/engineering\/three-phase-power-by-two-watt-meters-method\/\" method=\"POST\" class=\"calculator\" id=\"calculator-62008\" data-post=\"62008\"><fieldset class=\"fieldset-input\"><legend class=\"sr-only\">Input Fields<\/legend><div class=\"field has-term\" id=\"input-1\"><label for=\"field-1\">Voltage V\u2081\u2082<\/label><div class=\"term\">V\u2081\u2082<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"voltage_v\" id=\"field-1\" step=\"0.01\" value=\"400\"\/><div class=\"unit\">V<\/div><\/div><div class=\"field has-term\" id=\"input-2\"><label for=\"field-2\">Current I\u2082<\/label><div class=\"term\">I\u2082<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"current_i\" id=\"field-2\" step=\"0.01\" value=\"10\"\/><div class=\"unit\">A<\/div><\/div><div class=\"field has-term\" id=\"input-3\"><label for=\"field-3\">Displacement angle<\/label><div class=\"term\">\u03b8<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"displacement_angle\" id=\"field-3\" min=\"0\" max=\"360\" step=\"1\" value=\"30\"\/><div class=\"unit\">\u00b0<\/div><\/div><div class=\"field has-term\" id=\"input-4\"><label for=\"field-4\">Voltage V\u2081\u2083<\/label><div class=\"term\">V\u2081\u2083<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"voltage_v\" id=\"field-4\" step=\"0.01\" value=\"400\"\/><div class=\"unit\">V<\/div><\/div><div class=\"field has-term\" id=\"input-5\"><label for=\"field-5\">Current I\u2083<\/label><div class=\"term\">I\u2083<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"current_i\" id=\"field-5\" step=\"0.01\" value=\"10\"\/><div class=\"unit\">A<\/div><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Re-Calculate\" id=\"calculate-button\" data-post=\"62008\">Calculate<\/button><button type=\"reset\">Reset<\/button><\/div><div class=\"field is-checkbox hidden!\" id=\"field-auto-calc\"><input type=\"checkbox\" id=\"auto-calc\"><label for=\"auto-calc\">Calculate automatically<\/label><small>If enabled, the result will update automatically when you change any value.<\/small><\/div><div class=\"fieldset-result is-hidden\" aria-labelledby=\"result-title\" aria-live=\"polite\" role=\"region\"> <h3 class=\"result-title bg-gradient-to-r from-primary-50 to-gray-50 dark:from-primary-900 dark:to-gray-800\" id=\"result-title\"><span class=\"icon icon-s-pulse\" aria-hidden=\"true\"><\/span> Your Results<\/h3><div class=\"result-box\"><div class=\"field-result\" id=\"output-1\"><span class=\"field-title\"><span>Three Phase Power<\/span><\/span><span class=\"field-value\" id=\"result-1\" data-unit=\"W\"><\/span><button class=\"copy-result\" data-tooltip=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\"><\/span><\/button><\/div><\/div><\/div><a href=\"#respond\" class=\"hidden transition-opacity duration-300 opacity-0 w-50 text-sm justify-center items-center gap-2 px-4 py-2 rounded bg-gray-200 text-gray-700 hover:bg-gray-300\" id=\"leave-comment\"><span class=\"icon icon-comments\" aria-hidden=\"true\"><\/span>Leave a Comment<\/a><\/form><\/section><section id=\"calc-reactions\" class=\"not-prose hidden my-12 bg-gradient-to-r from-primary-50 to-gray-50 border border-indigo-100 rounded-xl px-6 py-4 shadow-sm\" data-post=\"62008\" aria-live=\"polite\"><h2 class=\"text-sm text-gray-500 text-center mb-2\">How did this result make you feel?<\/h2><div class=\"grid grid-cols-3 sm:flex sm:flex-row sm:justify-around gap-4 sm:items-center sm:flex-wrap\"><button class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"like\"><span class=\"reaction-count\" data-reaction-count=\"like\">0<\/span><span class=\"reaction text-3xl\">\ud83d\ude00 <\/span><span class=\"reaction-description font-medium\">Like <\/span><\/button><button class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"helpful\"><span class=\"reaction-count\" data-reaction-count=\"helpful\">0<\/span><span class=\"reaction text-3xl\">\ud83d\udca1 <\/span><span class=\"reaction-description font-medium\">Helpful <\/span><\/button><button class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"confused\"><span class=\"reaction-count\" data-reaction-count=\"confused\">0<\/span><span class=\"reaction text-3xl\">\ud83d\ude15 <\/span><span class=\"reaction-description font-medium\">Confused <\/span><\/button><button class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"disappointed\"><span class=\"reaction-count\" data-reaction-count=\"disappointed\">0<\/span><span class=\"reaction text-3xl\">\ud83d\ude1e <\/span><span class=\"reaction-description font-medium\">Disappointed <\/span><\/button><button class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"inaccurate\"><span class=\"reaction-count\" data-reaction-count=\"inaccurate\">0<\/span><span class=\"reaction text-3xl\">\u274c <\/span><span class=\"reaction-description font-medium\">Inaccurate <\/span><\/button><\/div><div id=\"reaction-message\" class=\"hidden mt-8 rounded-md border border-primary-100 bg-white\/50 backdrop-blur-sm px-4 py-2 text-sm text-center shadow-sm\"><\/div><\/section><ins class=\"adsbygoogle\"\n     style=\"display:block; text-align:center; margin: 32px 0;\"\n     data-ad-layout=\"in-article\"\n     data-ad-format=\"fluid\"\n     data-ad-client=\"ca-pub-1721569815777345\"\n     data-ad-slot=\"6317458308\"><\/ins>\n<script>\n     (adsbygoogle = window.adsbygoogle || []).push({});\n<\/script>\n<p><section class=\"formula-box\" aria-labelledby=\"formula-title\">\r\n\t<div id=\"formula-title\" class=\"not-prose font-display mb-4\"><span class=\"icon icon-formula\" aria-hidden=\"true\"><\/span><h2>Two Wattmeter Method Power Formula<\/h2><\/div>\r\n\t<figure class=\"not-prose formula\">\r\n\t\t<figcaption class=\"formula-title\">Formula<\/figcaption>\r\n\t\t<div class=\"text-base text-gray-800\" id=\"formula\">$$P = V_{12} \\cdot I_2 \\cdot \\cos(30^\\circ + \\theta) + V_{13} \\cdot I_3 \\cdot \\cos(30^\\circ &#8211; \\theta)$$<\/div>\r\n\t<\/figure>\r\n\t<br \/>\n<strong>Where:<\/strong><\/p>\n<ul>\n<li>$$P$$ = Total active power (W)<\/li>\n<li>$$V_{12}$$ = Voltage between line 1 and 2<\/li>\n<li>$$V_{13}$$ = Voltage between line 1 and 3<\/li>\n<li>$$I<em>2, I<\/em>3$$ = Line currents<\/li>\n<li>$$    heta$$ = Phase angle between voltage and current<\/li>\n<\/ul>\n<p>This method is effective for measuring power in three-phase three-wire systems, even under unbalanced conditions.<br \/>\r\n<\/section><br \/>\nThe two-wattmeter method is a widely used technique for measuring power in three-phase systems. It works for both balanced and unbalanced loads without needing a neutral connection. This calculator simplifies the process by allowing users to input line voltages (V12 and V13), currents (I2 and I3), and phase angle (\u03b8). The result is the total active power in watts, which is essential for system monitoring and load analysis in electrical installations.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This calculator estimates the total active power in a three-phase system using the two-wattmeter method. It\u2019s commonly used for both balanced and unbalanced load systems in electrical engineering. You can input line voltages, line currents, and the phase angle between voltage and current.<\/p>\n","protected":false},"author":70,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[4],"tags":[21],"class_list":["post-62008","post","type-post","status-publish","format-standard","hentry","category-engineering","tag-electrical"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/62008","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/users\/70"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/comments?post=62008"}],"version-history":[{"count":2,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/62008\/revisions"}],"predecessor-version":[{"id":63940,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/62008\/revisions\/63940"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/media?parent=62008"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/categories?post=62008"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/tags?post=62008"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}