{"id":100260,"date":"2026-02-15T20:30:19","date_gmt":"2026-02-15T20:30:19","guid":{"rendered":"https:\/\/vibromera.eu\/?post_type=calculator&#038;p=100260"},"modified":"2026-07-15T20:30:03","modified_gmt":"2026-07-15T20:30:03","slug":"three-phase-motor-power","status":"publish","type":"calculator","link":"https:\/\/vibromera.eu\/hi\/calculators\/three-phase-motor-power\/","title":{"rendered":"Controlled Three-Phase Motor Power Calculator"},"content":{"rendered":"<div id=\"mp-tool\" class=\"mp-shell\">\n<style>\n    #mp-tool{--ink:#172535;--muted:#52657a;--line:#d5e0e8;--soft:#f3f7fa;--accent:#0e6674;--accent2:#084a55;--warn:#fff4df;--ok:#136c42;font:16px\/1.55 system-ui,-apple-system,\"Segoe UI\",sans-serif;color:var(--ink);max-width:1180px;margin:0 auto;background:#fff}\n    #mp-tool *{box-sizing:border-box}#mp-tool .mp-hero{text-align:center;padding:52px 24px 42px}#mp-tool .mp-kicker{margin:0 0 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.mp-rlabel{font-size:12px;color:var(--muted)}#mp-tool .mp-rvalue{font-size:20px;font-weight:820;overflow-wrap:anywhere;margin-top:4px}#mp-tool .mp-note,#mp-tool .mp-record{border:1px solid var(--line);border-radius:10px;padding:13px;margin-top:12px}#mp-tool .mp-record{font-size:13px;color:var(--muted)}\n    #mp-tool .mp-formula{font:700 16px\/1.75 ui-monospace,SFMono-Regular,Consolas,monospace;background:var(--soft);border:1px solid var(--line);border-radius:10px;padding:16px;overflow-x:auto}#mp-tool .mp-small{font-size:13px;color:var(--muted)}#mp-tool .mp-list{padding-left:21px}#mp-tool .mp-list li{margin:9px 0}#mp-tool .mp-source{border-top:1px solid var(--line);padding:16px 0}#mp-tool .mp-source:first-of-type{border-top:0;padding-top:0}#mp-tool .mp-source a{color:var(--accent2);font-weight:800}#mp-tool .mp-source p{margin:3px 0;color:var(--muted);font-size:14px}#mp-tool .mp-footer{text-align:center;color:var(--muted);font-size:13px;padding:8px 20px 34px}\n    @media(max-width:700px){#mp-tool .mp-hero{padding:38px 18px 32px}#mp-tool .mp-sub{font-size:16px}#mp-tool .mp-card{padding:20px;margin-left:0;margin-right:0}#mp-tool .mp-grid,#mp-tool .mp-results{grid-template-columns:1fr}#mp-tool .mp-wide{grid-column:auto}}@media(max-width:430px){#mp-tool h1{font-size:31px}#mp-tool .mp-actions button{width:100%}}\n  <\/style>\n<header class=\"mp-hero\">\n<p class=\"mp-kicker\">Electrical input is not shaft output<\/p>\n<h1>Controlled Three-Phase Motor Power Calculator<\/h1>\n<p class=\"mp-sub\">Solve one balanced, sinusoidal three-phase operating point while keeping electrical input power, mechanical shaft output and motor loss explicitly separate.<\/p>\n<div class=\"mp-badges\"><span class=\"mp-badge\">Balanced sinusoidal scope<\/span><span class=\"mp-badge\">RMS line quantities<\/span><span class=\"mp-badge\">No IE-class lookup<\/span><span class=\"mp-badge\">No sizing decision<\/span><\/div>\n<\/header>\n<section class=\"mp-card\" aria-labelledby=\"mp-calc-title\">\n<h2 id=\"mp-calc-title\">Controlled operating-point calculation<\/h2>\n<div class=\"mp-warning\"><strong>Do not use this arithmetic to size protection, conductors, contactors, a drive or a motor.<\/strong> It excludes starting and transient current, unbalance, harmonics, waveform distortion, converter losses, duty, service factor, thermal limits and code requirements. Live electrical measurements require qualified personnel, suitable instruments and the governing safe-work procedure.<\/div>\n<form id=\"mp-form\" novalidate autocomplete=\"off\">\n<div class=\"mp-grid\">\n        <label class=\"mp-wide\" for=\"mp-solve\">Quantity to solve<span class=\"mp-help\">The selected input becomes blank and read-only; all other quantities must describe the same operating point<\/span><select id=\"mp-solve\"><option value=\"\" selected disabled>Select one unknown<\/option><option value=\"output\">Mechanical shaft output P\u2082<\/option><option value=\"current\">RMS line current I<sub>L<\/sub><\/option><option value=\"voltage\">RMS line-to-line voltage V<sub>LL<\/sub><\/option><option value=\"pf\">Displacement power factor cos \u03c6<\/option><option value=\"eff\">Motor efficiency \u03b7<\/option><\/select><\/label><br \/>\n        <label for=\"mp-voltage\">RMS line-to-line voltage V<sub>LL<\/sub> (V)<span class=\"mp-help\">Positive plain decimal; same operating point as every other input<\/span><input id=\"mp-voltage\" type=\"text\" inputmode=\"decimal\" maxlength=\"64\"><\/label><br \/>\n        <label for=\"mp-current\">RMS line current I<sub>L<\/sub> (A)<span class=\"mp-help\">Positive plain decimal; balanced line-current basis<\/span><input id=\"mp-current\" type=\"text\" inputmode=\"decimal\" maxlength=\"64\"><\/label><br \/>\n        <label for=\"mp-pf\">Displacement power factor cos \u03c6<span class=\"mp-help\">Positive decimal greater than 0 and not greater than 1<\/span><input id=\"mp-pf\" type=\"text\" inputmode=\"decimal\" maxlength=\"64\"><\/label><br \/>\n        <label for=\"mp-eff\">Efficiency \u03b7<span class=\"mp-help\">P\u2082\/P\u2081 at this operating point; positive decimal not greater than 1<\/span><input id=\"mp-eff\" type=\"text\" inputmode=\"decimal\" maxlength=\"64\"><\/label><br \/>\n        <label for=\"mp-output\">Mechanical shaft output P\u2082<span class=\"mp-help\">Rated\/nameplate output is not automatically the present operating output<\/span><input id=\"mp-output\" type=\"text\" inputmode=\"decimal\" maxlength=\"64\"><\/label><br \/>\n        <label for=\"mp-output-unit\">Shaft-output unit<span class=\"mp-help\">Mechanical horsepower uses the NIST 745.6999 W conversion factor<\/span><select id=\"mp-output-unit\"><option value=\"\" selected disabled>Select output unit<\/option><option value=\"kw\">kilowatts (kW)<\/option><option value=\"hp\">mechanical horsepower (hp)<\/option><\/select><\/label><br \/>\n        <label class=\"mp-wide\" for=\"mp-source\">Operating-point and source record<span class=\"mp-help\">Record motor\/nameplate ID, instrument or document, date\/load state and where efficiency\/PF came from<\/span><textarea id=\"mp-source\" maxlength=\"500\"><\/textarea><\/label><br \/>\n        <label class=\"mp-check mp-wide\" for=\"mp-confirm-basis\"><input id=\"mp-confirm-basis\" type=\"checkbox\"><span>I confirm the inputs are RMS line quantities for one sufficiently balanced, sinusoidal three-phase operating point; they are not phase-to-neutral values or mixed operating states.<\/span><\/label><br \/>\n        <label class=\"mp-check mp-wide\" for=\"mp-confirm-eff\"><input id=\"mp-confirm-eff\" type=\"checkbox\"><span>I understand that using rated\/nameplate efficiency or power factor away from its rated test point makes shaft output an estimate, not a measurement or IEC efficiency determination.<\/span><\/label>\n      <\/div>\n<div class=\"mp-actions\"><button class=\"mp-primary\" type=\"submit\">Calculate documented point<\/button><button class=\"mp-clear\" id=\"mp-clear\" type=\"reset\">Clear<\/button><\/div>\n<div class=\"mp-status\" id=\"mp-status\" role=\"status\" aria-live=\"polite\"><\/div>\n<div class=\"mp-output\" id=\"mp-result\" data-visible=\"false\" aria-live=\"polite\">\n<h3>Operating-point result<\/h3>\n<div class=\"mp-results\">\n<div class=\"mp-result\">\n<div class=\"mp-rlabel\">Solved quantity<\/div>\n<div class=\"mp-rvalue\" id=\"mp-r-solved\">\u2014<\/div>\n<\/div>\n<div class=\"mp-result\">\n<div class=\"mp-rlabel\">Mechanical shaft output P\u2082<\/div>\n<div class=\"mp-rvalue\" id=\"mp-r-output\">\u2014<\/div>\n<\/div>\n<div class=\"mp-result\">\n<div class=\"mp-rlabel\">Electrical active input P\u2081<\/div>\n<div class=\"mp-rvalue\" id=\"mp-r-input\">\u2014<\/div>\n<\/div>\n<div class=\"mp-result\">\n<div class=\"mp-rlabel\">Apparent input S<\/div>\n<div class=\"mp-rvalue\" id=\"mp-r-apparent\">\u2014<\/div>\n<\/div>\n<div class=\"mp-result\">\n<div class=\"mp-rlabel\">Reactive-power magnitude |Q|<\/div>\n<div class=\"mp-rvalue\" id=\"mp-r-reactive\">\u2014<\/div>\n<\/div>\n<div class=\"mp-result\">\n<div class=\"mp-rlabel\">Motor loss P\u2081 \u2212 P\u2082<\/div>\n<div class=\"mp-rvalue\" id=\"mp-r-loss\">\u2014<\/div>\n<\/div>\n<div class=\"mp-result\">\n<div class=\"mp-rlabel\">Line operating quantities<\/div>\n<div class=\"mp-rvalue\" id=\"mp-r-line\">\u2014<\/div>\n<\/div>\n<div class=\"mp-result\">\n<div class=\"mp-rlabel\">Power factor and efficiency<\/div>\n<div class=\"mp-rvalue\" id=\"mp-r-factors\">\u2014<\/div>\n<\/div><\/div>\n<div class=\"mp-note\" id=\"mp-r-note\"><\/div>\n<div class=\"mp-record\" id=\"mp-r-record\"><\/div>\n<\/p><\/div>\n<\/p><\/form>\n<\/section>\n<section class=\"mp-card\" aria-labelledby=\"mp-model-title\">\n<h2 id=\"mp-model-title\">Model, formulas and units<\/h2>\n<div class=\"mp-formula\">P\u2081(kW) = \u221a3 \u00d7 V<sub>LL,rms<\/sub> \u00d7 I<sub>L,rms<\/sub> \u00d7 cos \u03c6 \/ 1000<br \/>P\u2082(kW) = \u03b7 \u00d7 P\u2081(kW)<br \/>S(kVA) = \u221a3 \u00d7 V<sub>LL,rms<\/sub> \u00d7 I<sub>L,rms<\/sub> \/ 1000<br \/>|Q|(kvar) = S \u00d7 \u221a(1 \u2212 cos\u00b2 \u03c6)<br \/>P<sub>loss<\/sub>(kW) = P\u2081 \u2212 P\u2082<\/div>\n<p>The U.S. Department of Energy motor-load fact sheet gives the three-phase <strong>electrical input<\/strong> relation P\u2081 = \u221a3\u00b7V\u00b7I\u00b7PF\/1000 using RMS mean line-to-line voltage, RMS mean line current and power factor. Efficiency is \u03b7 = P\u2082\/P\u2081, so multiplying by \u03b7 produces estimated mechanical shaft output P\u2082; it does not produce electrical active input.<\/p>\n<p class=\"mp-small\">The reactive result is an unsigned magnitude for the declared balanced sinusoidal displacement-power-factor model. It does not identify leading versus lagging operation and is not a valid harmonic\/VFD reactive-power decomposition.<\/p>\n<\/section>\n<section class=\"mp-card\" aria-labelledby=\"mp-boundary-title\">\n<h2 id=\"mp-boundary-title\">IEC and measurement boundary<\/h2>\n<ul class=\"mp-list\">\n<li>IEC 60034-1:2026, Edition 15 is the current rating-and-performance standard and replaced IEC 60034-1:2022 in March 2026. The arithmetic above is not presented as an IEC 60034-1 formula.<\/li>\n<li>IEC 60034-2-1:2024, Edition 3 specifies test methods for determining machine losses and efficiency. Entering a catalog or nameplate efficiency here does not reproduce those tests.<\/li>\n<li>IEC 60034-30-1:2025, Edition 2 defines IE efficiency classes for a stated scope and test basis. This page does not infer IE1\u2013IE5 from a calculated operating point or publish proprietary efficiency tables.<\/li>\n<li>For unbalanced, distorted or converter-fed waveforms, use an appropriate three-phase power analyzer and governing method. Do not average unrelated voltage, current, PF and efficiency values.<\/li>\n<\/ul>\n<\/section>\n<section class=\"mp-card\" aria-labelledby=\"mp-evidence-title\">\n<h2 id=\"mp-evidence-title\">Official evidence<\/h2>\n<div class=\"mp-source\"><a href=\"https:\/\/www1.eere.energy.gov\/manufacturing\/tech_assistance\/pdfs\/10097517.pdf\" target=\"_blank\" rel=\"noopener\">U.S. DOE \u2014 Determining Electric Motor Load and Efficiency<\/a><\/p>\n<p>Page 3, Equation 1 defines three-phase electrical input power from RMS mean line-to-line voltage, RMS mean line current and power factor; page 4 provides a worked measurement example.<\/p>\n<\/div>\n<div class=\"mp-source\"><a href=\"https:\/\/webstore.iec.ch\/en\/publication\/89961\" target=\"_blank\" rel=\"noopener\">IEC 60034-1:2026, Edition 15<\/a><\/p>\n<p>Official current-edition, lifecycle and scope page for rotating-machine ratings and performance.<\/p>\n<\/div>\n<div class=\"mp-source\"><a href=\"https:\/\/webstore.iec.ch\/en\/publication\/67756\" target=\"_blank\" rel=\"noopener\">IEC 60034-2-1:2024, Edition 3<\/a><\/p>\n<p>Official current-edition page for standardized loss and efficiency test methods.<\/p>\n<\/div>\n<div class=\"mp-source\"><a href=\"https:\/\/webstore.iec.ch\/en\/publication\/91195\" target=\"_blank\" rel=\"noopener\">IEC 60034-30-1:2025, Edition 2<\/a><\/p>\n<p>Official current-edition page for line-operated AC motor IE efficiency classes and their scope.<\/p>\n<\/div>\n<div class=\"mp-source\"><a href=\"https:\/\/www.nist.gov\/pml\/special-publication-811\/nist-guide-si-appendix-b-conversion-factors\/nist-guide-si-appendix-b9\" target=\"_blank\" rel=\"noopener\">NIST SP 811, Appendix B.9<\/a><\/p>\n<p>Official conversion table: mechanical horsepower (550 ft\u00b7lbf\/s) to watt, factor 7.456999 \u00d7 10\u00b2.<\/p>\n<\/div>\n<\/section>\n<footer class=\"mp-footer\">Vibromera controlled electrical arithmetic \u00b7 Not motor, cable or protection sizing<\/footer>\n<p>  <script>\n  (function(){'use strict';\n    var form=document.getElementById('mp-form'),result=document.getElementById('mp-result'),status=document.getElementById('mp-status'),HP_KW=0.7456999,SQRT3=Math.sqrt(3);\n    var fieldFor={output:'mp-output',current:'mp-current',voltage:'mp-voltage',pf:'mp-pf',eff:'mp-eff'};\n    var solvedLabels={output:'Mechanical shaft output P\u2082',current:'RMS line current I_L',voltage:'RMS line-to-line voltage V_LL',pf:'Displacement power factor cos \u03c6',eff:'Motor efficiency \u03b7'};\n    function byId(id){return document.getElementById(id)}\n    function clearResult(){result.dataset.visible='false';['mp-r-solved','mp-r-output','mp-r-input','mp-r-apparent','mp-r-reactive','mp-r-loss','mp-r-line','mp-r-factors'].forEach(function(id){byId(id).textContent='\u2014'});byId('mp-r-note').textContent='';byId('mp-r-record').textContent=''}\n    function fail(message){status.textContent=message;status.dataset.kind='error';clearResult()}\n    function plain(raw,label){var s=String(raw).trim();if(!s||s.length>64||!\/^[+]?(?:\\d+(?:[.,]\\d*)?|[.,]\\d+)$\/.test(s))throw new Error('Enter '+label+' as one positive plain decimal.');var value=Number(s.replace(',','.'));if(!Number.isFinite(value)||value<=0)throw new Error(label.charAt(0).toUpperCase()+label.slice(1)+' must be greater than 0.');return value}\n    function bounded(raw,label,max){var value=plain(raw,label);if(value>max)throw new Error(label.charAt(0).toUpperCase()+label.slice(1)+' is outside this calculator\u2019s supported finite range.');return value}\n    function factor(raw,label){var value=plain(raw,label);if(value>1)throw new Error(label.charAt(0).toUpperCase()+label.slice(1)+' must not exceed 1.');return value}\n    function record(raw){var s=String(raw).trim();if(s.length<3||s.length>500||\/[\\u0000-\\u0008\\u000B\\u000C\\u000E-\\u001F\\u007F]\/.test(s))throw new 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line current',100000000),pf=solve==='pf'?null:factor(byId('mp-pf').value,'displacement power factor'),eff=solve==='eff'?null:factor(byId('mp-eff').value,'motor efficiency'),p2=solve==='output'?null:bounded(byId('mp-output').value,'mechanical shaft output',1000000000000),source=record(byId('mp-source').value);\n      if(unit==='hp'&&p2!==null)p2*=HP_KW;if(!byId('mp-confirm-basis').checked)throw new Error('Confirm the balanced sinusoidal RMS line-quantity basis.');if(!byId('mp-confirm-eff').checked)throw new Error('Confirm the efficiency and power-factor operating-point boundary.');\n      if(solve==='output')p2=SQRT3*V*I*pf*eff\/1000;\n      else if(solve==='current')I=p2*1000\/(SQRT3*V*pf*eff);\n      else if(solve==='voltage')V=p2*1000\/(SQRT3*I*pf*eff);\n      else if(solve==='pf')pf=p2*1000\/(SQRT3*V*I*eff);\n      else if(solve==='eff')eff=p2*1000\/(SQRT3*V*I*pf);\n      if(!Number.isFinite(V)||!Number.isFinite(I)||!Number.isFinite(pf)||!Number.isFinite(eff)||!Number.isFinite(p2)||V<=0||I<=0||pf<=0||eff<=0||p2<=0||V>10000000||I>100000000||p2>1000000000000)throw new Error('The solved operating point is outside this calculator\u2019s supported positive finite range.');if(pf>1+1e-12)throw new Error('The inputs would require displacement power factor greater than 1; check units and operating-point consistency.');if(eff>1+1e-12)throw new Error('The inputs would require efficiency greater than 1; check units and operating-point consistency.');pf=Math.min(pf,1);eff=Math.min(eff,1);\n      var S=SQRT3*V*I\/1000,p1=S*pf,q=S*Math.sqrt(Math.max(0,1-pf*pf)),loss=p1-p2;if(!Number.isFinite(S)||!Number.isFinite(p1)||!Number.isFinite(q)||!Number.isFinite(loss)||loss<-1e-8*Math.max(1,p1))throw new Error('The inputs do not form a physically consistent finite motor operating point.');if(Math.abs(loss)<1e-12*Math.max(1,p1))loss=0;\n      var solvedText=solve==='output'?fmt(unit==='hp'?p2\/HP_KW:p2)+' '+(unit==='hp'?'hp':'kW'):(solve==='current'?fmt(I)+' A':solve==='voltage'?fmt(V)+' V':solve==='pf'?fmt(pf):fmt(eff));byId('mp-r-solved').textContent=solvedLabels[solve]+': '+solvedText;byId('mp-r-output').textContent=fmt(p2)+' kW ('+fmt(p2\/HP_KW)+' mechanical hp)';byId('mp-r-input').textContent=fmt(p1)+' kW';byId('mp-r-apparent').textContent=fmt(S)+' kVA';byId('mp-r-reactive').textContent=fmt(q)+' kvar';byId('mp-r-loss').textContent=fmt(loss)+' kW';byId('mp-r-line').textContent=fmt(V)+' V line-to-line \u00b7 '+fmt(I)+' A line';byId('mp-r-factors').textContent='cos \u03c6 = '+fmt(pf)+' \u00b7 \u03b7 = '+fmt(eff);byId('mp-r-note').textContent='Balanced sinusoidal steady-state arithmetic only. P\u2081 is electrical active input; P\u2082 is estimated mechanical shaft output. |Q| is unsigned and does not establish leading or lagging operation.';byId('mp-r-record').textContent='Operating-point\/source record: '+source;result.dataset.visible='true';status.textContent='Documented operating point calculated.';status.dataset.kind='ok'\n    }catch(error){fail(error.message)}});\n    form.addEventListener('reset',function(){setTimeout(function(){Object.keys(fieldFor).forEach(function(key){byId(fieldFor[key]).readOnly=false});status.textContent='';delete status.dataset.kind;clearResult()},0)});\n  }());\n  <\/script>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Calculate a balanced sinusoidal three-phase motor operating point while keeping electrical input power, shaft output and losses explicitly separate.<\/p>","protected":false},"featured_media":0,"template":"","meta":{"ai_generated_summary":"","footnotes":""},"categories":[],"tags":[],"class_list":["post-100260","calculator","type-calculator","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/vibromera.eu\/hi\/wp-json\/wp\/v2\/calculator\/100260","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vibromera.eu\/hi\/wp-json\/wp\/v2\/calculator"}],"about":[{"href":"https:\/\/vibromera.eu\/hi\/wp-json\/wp\/v2\/types\/calculator"}],"version-history":[{"count":5,"href":"https:\/\/vibromera.eu\/hi\/wp-json\/wp\/v2\/calculator\/100260\/revisions"}],"predecessor-version":[{"id":102604,"href":"https:\/\/vibromera.eu\/hi\/wp-json\/wp\/v2\/calculator\/100260\/revisions\/102604"}],"wp:attachment":[{"href":"https:\/\/vibromera.eu\/hi\/wp-json\/wp\/v2\/media?parent=100260"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vibromera.eu\/hi\/wp-json\/wp\/v2\/categories?post=100260"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vibromera.eu\/hi\/wp-json\/wp\/v2\/tags?post=100260"}],"curies":[{"name":"\u0921\u092c\u094d\u0932\u094d\u092f\u0942\u092a\u0940","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}