{"id":100161,"date":"2026-02-15T20:21:44","date_gmt":"2026-02-15T20:21:44","guid":{"rendered":"https:\/\/vibromera.eu\/?post_type=calculator&#038;p=100161"},"modified":"2026-07-12T21:47:16","modified_gmt":"2026-07-12T21:47:16","slug":"motor-slip-calculator","status":"publish","type":"calculator","link":"https:\/\/vibromera.eu\/sr\/calculators\/motor-slip-calculator\/","title":{"rendered":"Induction-Machine Signed Slip &#038; Speed Worksheet"},"content":{"rendered":"\n<script type=\"application\/ld+json\">{\"@context\":\"https:\/\/schema.org\",\"@type\":\"WebApplication\",\"name\":\"Induction-Machine Signed Slip and Speed Worksheet\",\"description\":\"Convert measured speed to signed slip or signed slip to speed for an explicitly documented induction-machine motoring or generating state.\",\"url\":\"https:\/\/vibromera.eu\/calculators\/motor-slip-calculator\/\",\"applicationCategory\":\"Engineering Reference\",\"operatingSystem\":\"Any\",\"offers\":{\"@type\":\"Offer\",\"price\":\"0\",\"priceCurrency\":\"EUR\"},\"creator\":{\"@type\":\"Organization\",\"name\":\"Vibromera\",\"url\":\"https:\/\/vibromera.eu\/\"},\"dateModified\":\"2026-07-12\",\"inLanguage\":\"en\",\"isAccessibleForFree\":true}<\/script>\n<style>\n.sl-wrap{--ink:#17212b;--muted:#596775;--line:#d8e0e7;--soft:#f4f7f9;--blue:#1769aa;--blue2:#0f4f84;--warn:#fff7e5;max-width:980px;margin:0 auto;padding:20px 16px 46px;color:var(--ink);font:15px\/1.58 system-ui,-apple-system,\"Segoe UI\",sans-serif}.sl-wrap *{box-sizing:border-box}.sl-wrap [hidden]{display:none!important}.sl-hero{padding:38px 30px;border:1px solid var(--line);border-radius:18px;background:linear-gradient(135deg,#eef7ff,#fff 68%);box-shadow:0 10px 30px rgba(20,54,80,.07)}.sl-kicker{color:var(--blue);font-size:12px;font-weight:800;letter-spacing:.1em;text-transform:uppercase}.sl-hero h1{margin:8px 0 10px;font-size:clamp(27px,4vw,42px);line-height:1.12}.sl-lead{max-width:800px;margin:0;color:var(--muted);font-size:17px}.sl-badges{display:flex;flex-wrap:wrap;gap:8px;margin-top:18px}.sl-badge{padding:5px 10px;border:1px solid #b9d4e8;border-radius:999px;background:#fff;color:var(--blue2);font-size:12px;font-weight:700}.sl-main{margin-top:20px}.sl-panel,.sl-section{border:1px solid var(--line);border-radius:14px;background:#fff;box-shadow:0 5px 18px rgba(23,33,43,.05)}.sl-panel{padding:24px}.sl-panel h2,.sl-section h2{margin:0 0 8px;font-size:21px}.sl-note{margin:0 0 18px;color:var(--muted)}.sl-grid{display:grid;grid-template-columns:repeat(2,minmax(0,1fr));gap:16px}.sl-field{display:flex;flex-direction:column;gap:6px}.sl-wide{grid-column:1\/-1}.sl-label{font-weight:750}.sl-help{color:var(--muted);font-size:12px}.sl-input,.sl-select,.sl-textarea{width:100%;border:1.5px solid #bcc9d3;border-radius:8px;background:#fff;color:var(--ink);font:inherit;padding:10px 12px}.sl-textarea{min-height:96px;resize:vertical}.sl-input:focus,.sl-select:focus,.sl-textarea:focus{outline:3px solid rgba(23,105,170,.16);border-color:var(--blue)}.sl-error{min-height:24px;margin:14px 0 0;color:#a22727;font-weight:700}.sl-results{margin-top:20px;border:1px solid #b9d4e8;border-radius:12px;background:#f7fbff;padding:20px}.sl-rhead{display:flex;justify-content:space-between;gap:14px;align-items:flex-start}.sl-rtitle{font-size:19px;font-weight:800}.sl-rsub{max-width:590px;text-align:right;color:var(--muted);font-size:12px}.sl-rgrid{display:grid;grid-template-columns:repeat(3,minmax(0,1fr));gap:11px;margin-top:14px}.sl-card{padding:14px;border:1px solid #d7e5f0;border-radius:10px;background:#fff}.sl-card h3{margin:0 0 7px;color:var(--muted);font-size:12px;text-transform:uppercase;letter-spacing:.04em}.sl-val{font-size:20px;font-weight:800;overflow-wrap:anywhere}.sl-unit{margin-top:3px;color:var(--muted);font-size:11px}.sl-alert{margin-top:18px;padding:15px 17px;border:1px solid #e8cf91;border-radius:10px;background:var(--warn);color:#624b13}.sl-section{margin-top:18px;padding:22px 24px}.sl-section p{margin:8px 0;color:var(--muted)}.sl-section ul{margin:10px 0 0;padding-left:22px;color:var(--muted)}.sl-code{font-family:ui-monospace,SFMono-Regular,Consolas,monospace;color:#113d62}.sl-table{width:100%;border-collapse:collapse;margin-top:12px}.sl-table th,.sl-table td{padding:10px;border:1px solid var(--line);text-align:left;vertical-align:top}.sl-table th{background:var(--soft)}.sl-section a{color:var(--blue2)}@media(max-width:680px){.sl-grid,.sl-rgrid{grid-template-columns:1fr}.sl-wide{grid-column:auto}.sl-hero{padding:26px 20px}.sl-panel,.sl-section{padding:19px}.sl-rhead{display:block}.sl-rsub{text-align:left;margin-top:5px}}@media print{.sl-wrap{max-width:none}.sl-hero,.sl-panel,.sl-section{box-shadow:none}}\n<\/style>\n<div class=\"sl-wrap\">\n<header class=\"sl-hero\"><div class=\"sl-kicker\">Signed slip \u00b7 explicit operating mode \u00b7 same-state frequency and speed<\/div><h1>Induction-Machine Signed Slip &amp; Speed Worksheet<\/h1><p class=\"sl-lead\">Convert measured rotor speed to signed slip,or signed slip to rotor speed,for an explicitly documented induction-machine motoring or generating state. Frequencies are labelled by definition and are not used for automatic fault diagnosis.<\/p><div class=\"sl-badges\"><span class=\"sl-badge\">Starts blank<\/span><span class=\"sl-badge\">Motoring or generating<\/span><span class=\"sl-badge\">Signed and magnitude outputs separated<\/span><span class=\"sl-badge\">No universal slip severity<\/span><\/div><\/header>\n<main class=\"sl-main\"><section class=\"sl-panel\"><h2>Document one operating state<\/h2><p class=\"sl-note\">Use supply fundamental and rotor speed from the same stable state. Pole count must come from controlled motor documentation,not from an assumed50\/60Hz speed.<\/p><form id=\"sl-form\" novalidate><div class=\"sl-grid\">\n<div class=\"sl-field\"><label class=\"sl-label\" for=\"sl-basis\">Operating basis<\/label><select class=\"sl-select\" id=\"sl-basis\"><option value=\"\">Select\u2026<\/option><option value=\"steady-motoring\">Steady induction-machine motoring;0&lt;n&lt;n\u209b<\/option><option value=\"steady-generating\">Steady induction-machine generating;n&gt;n\u209b<\/option><\/select><\/div>\n<div class=\"sl-field\"><label class=\"sl-label\" for=\"sl-direction\">Calculation direction<\/label><select class=\"sl-select\" id=\"sl-direction\"><option value=\"\">Select\u2026<\/option><option value=\"speed-to-slip\">Measured speed \u2192 signed slip<\/option><option value=\"slip-to-speed\">Signed slip \u2192 rotor speed<\/option><\/select><\/div>\n<div class=\"sl-field\"><label class=\"sl-label\" for=\"sl-frequency\">Supply fundamental f (Hz)<\/label><input class=\"sl-input\" id=\"sl-frequency\" inputmode=\"decimal\" autocomplete=\"off\"><span class=\"sl-help\">Measured or controlled fundamental for this state.<\/span><\/div>\n<div class=\"sl-field\"><label class=\"sl-label\" for=\"sl-poles\">Pole count P<\/label><input class=\"sl-input\" id=\"sl-poles\" inputmode=\"numeric\" autocomplete=\"off\"><span class=\"sl-help\">Positive even whole number.<\/span><\/div>\n<div class=\"sl-field sl-wide\" id=\"sl-speed-field\" hidden><label class=\"sl-label\" for=\"sl-speed\">Measured rotor speed n (r\/min)<\/label><input class=\"sl-input\" id=\"sl-speed\" inputmode=\"decimal\" autocomplete=\"off\"><span class=\"sl-help\">Positive speed magnitude in the field-rotation direction.<\/span><\/div>\n<div class=\"sl-field sl-wide\" id=\"sl-slip-field\" hidden><label class=\"sl-label\" for=\"sl-slip\">Signed slip s (%)<\/label><input class=\"sl-input\" id=\"sl-slip\" inputmode=\"decimal\" autocomplete=\"off\"><span class=\"sl-help\">Motoring:0&lt;s&lt;100%. Generating:s&lt;0%. Zero is the synchronous boundary.<\/span><\/div>\n<div class=\"sl-field sl-wide\"><label class=\"sl-label\" for=\"sl-source\">Machine,state and measurement source<\/label><textarea class=\"sl-textarea\" id=\"sl-source\" maxlength=\"2200\" placeholder=\"Machine and pole evidence;supply\/converter fundamental;speed instrument and timestamp;load and operating mode;direction convention;sample interval\/uncertainty;nameplate or manufacturer document if rated rather than measured\"><\/textarea><\/div>\n<\/div><p class=\"sl-error\" id=\"sl-error\" role=\"alert\"><\/p><\/form>\n<section class=\"sl-results\" id=\"sl-results\" hidden data-json=\"\"><div class=\"sl-rhead\"><div class=\"sl-rtitle\">Signed kinematic result<\/div><div class=\"sl-rsub\" id=\"sl-summary\">\u2014<\/div><\/div><div class=\"sl-rgrid\">\n<article class=\"sl-card\"><h3>Synchronous speed<\/h3><div class=\"sl-val\" id=\"sl-r-ns\">\u2014<\/div><div class=\"sl-unit\" id=\"sl-r-nshz\">\u2014<\/div><\/article>\n<article class=\"sl-card\"><h3>Rotor speed<\/h3><div class=\"sl-val\" id=\"sl-r-speed\">\u2014<\/div><div class=\"sl-unit\" id=\"sl-r-shaft\">\u2014<\/div><\/article>\n<article class=\"sl-card\"><h3>Signed slip<\/h3><div class=\"sl-val\" id=\"sl-r-slip\">\u2014<\/div><div class=\"sl-unit\" id=\"sl-r-slipratio\">\u2014<\/div><\/article>\n<article class=\"sl-card\"><h3>Signed speed difference<\/h3><div class=\"sl-val\" id=\"sl-r-diff\">\u2014<\/div><div class=\"sl-unit\">(n\u209b\u2212n)\/60;mechanical rev\/s difference<\/div><\/article>\n<article class=\"sl-card\"><h3>Signed s\u00b7f product<\/h3><div class=\"sl-val\" id=\"sl-r-signed-elec\">\u2014<\/div><div class=\"sl-unit\">retains negative generating sign<\/div><\/article>\n<article class=\"sl-card\"><h3>Rotor electrical frequency magnitude<\/h3><div class=\"sl-val\" id=\"sl-r-elec-mag\">\u2014<\/div><div class=\"sl-unit\">|s|f;non-negative frequency magnitude<\/div><\/article>\n<article class=\"sl-card\"><h3>Operating mode<\/h3><div class=\"sl-val\" id=\"sl-r-mode\">\u2014<\/div><div class=\"sl-unit\">explicit user-selected algebraic branch<\/div><\/article>\n<article class=\"sl-card\"><h3>Speed difference<\/h3><div class=\"sl-val\" id=\"sl-r-diff-rpm\">\u2014<\/div><div class=\"sl-unit\">n\u209b\u2212n in r\/min;signed<\/div><\/article>\n<article class=\"sl-card\"><h3>Calculation direction<\/h3><div class=\"sl-val\" id=\"sl-r-direction\">\u2014<\/div><div class=\"sl-unit\">input\u2192derived quantity<\/div><\/article>\n<\/div><\/section>\n<div class=\"sl-alert\"><strong>Decision boundary:<\/strong> slip alone does not establish motor health,load,efficiency,rotor-bar condition,eccentricity,torque margin or safe generating operation. Use uncertainty-aware,load-matched measurements and the applicable machine\/manufacturer procedure.<\/div><\/section><\/main>\n<section class=\"sl-section\"><h2>Equations,signs and units<\/h2><table class=\"sl-table\"><thead><tr><th>Quantity<\/th><th>Equation<\/th><th>Interpretation<\/th><\/tr><\/thead><tbody><tr><td>Synchronous speed<\/td><td><span class=\"sl-code\">n\u209b=120f\/P<\/span> r\/min<\/td><td>Rotating-field speed from supply fundamental and pole count.<\/td><\/tr><tr><td>Signed slip<\/td><td><span class=\"sl-code\">s=(n\u209b\u2212n)\/n\u209b<\/span><\/td><td>Positive for this motoring convention;negative for generating above synchronous speed.<\/td><\/tr><tr><td>Inverse speed<\/td><td><span class=\"sl-code\">n=n\u209b(1\u2212s)<\/span><\/td><td>s is a ratio;divide entered percent by100.<\/td><\/tr><tr><td>Mechanical speed difference<\/td><td><span class=\"sl-code\">(n\u209b\u2212n)\/60<\/span> rev\/s<\/td><td>Not the same quantity as rotor electrical frequency when pole pairs exceed one.<\/td><\/tr><tr><td>Rotor electrical frequency magnitude<\/td><td><span class=\"sl-code\">|s|f<\/span> Hz<\/td><td>The worksheet also reports signed s\u00b7f separately so the generating sign is not silently erased.<\/td><\/tr><\/tbody><\/table><p>These are induction-machine kinematics and vocabulary-based relations,not ISO10816,ISO21940 or an ISO fault-diagnostic formula.<\/p><\/section>\n<section class=\"sl-section\"><h2>Sources and applicability<\/h2><p>IEC Electropedia defines <a href=\"https:\/\/www.electropedia.org\/iev\/iev.nsf\/display?ievref=411-46-06&amp;openform=\" target=\"_blank\" rel=\"noopener\">synchronous speed,IEV411-46-06<\/a>,as the rotational speed resulting from system frequency and pole count. <a href=\"https:\/\/www.electropedia.org\/iev\/iev.nsf\/display?ievref=411-46-07&amp;openform=\" target=\"_blank\" rel=\"noopener\">IEV411-46-07<\/a> defines slip from the synchronous-to-actual speed difference expressed per unit or percent of synchronous speed.<\/p><p><a href=\"https:\/\/webstore.iec.ch\/en\/publication\/89961\" target=\"_blank\" rel=\"noopener\">IEC60034-1:2026,Edition15<\/a> is the current rotating-machine rating\/performance standard and replaced2022. Exact rated-speed,marking,tolerance,test and operating requirements remain <span class=\"sl-code\">NEEDS_LICENSED_SOURCE<\/span>;this worksheet does not infer them.<\/p><\/section>\n<section class=\"sl-section\"><h2>Interpretation safeguards<\/h2><ul><li>Nameplate speed is a rated value for its stated rating;it is not a substitute for speed measured during another load,supply or converter state.<\/li><li>Slip is not universally proportional to load across starting,breakdown,field weakening,control modes or abnormal operation. No fixed normal,full-load or severity range is applied.<\/li><li>The signed mechanical difference and rotor electrical frequency differ by pole-pair scaling;the former page labelled duplicate outputs without explaining that boundary.<\/li><li>Frequency candidates around supply harmonics require adequate spectral resolution,load-matched baselines and corroboration. This worksheet makes no broken-bar or eccentricity diagnosis.<\/li><li>Generating-mode arithmetic does not approve grid connection,prime mover,protection,converter or overspeed operation.<\/li><\/ul><\/section>\n<section class=\"sl-section\"><h2>What was corrected<\/h2><p>The former inverse mode accepted arbitrary slip above100% and could display negative rotor speed. Its speed mode silently allowed generation but then erased the slip sign with <span class=\"sl-code\">Math.abs<\/span>,while \u201cslip frequency\u201d and \u201crotor frequency\u201d displayed the same number without a clear signed\/magnitude distinction.<\/p><p>Defaults,presets,50\/60Hz geography assumptions,URL\/history persistence,partial pole menus,universal NEMA\/no-load\/full-load slip bands,breakdown-torque claims and automatic rotor-fault advice were removed. The replacement requires explicit motoring\/generating basis,same-state sources,strict parsing and physically consistent sign gates.<\/p><\/section>\n<\/div>\n<script>(function(){'use strict';function $(id){return document.getElementById(id)}function num(s){s=String(s).trim();if(!s||s.includes('.')&&s.includes(',')||!\/^[+-]?(?:\\d+(?:[.,]\\d*)?|[.,]\\d+)(?:[eE][+-]?\\d+)?$\/.test(s))return NaN;var n=Number(s.replace(',','.'));return Number.isFinite(n)&&Math.abs(n)<=1e100?n:NaN}function integer(s){s=String(s).trim();return\/^\\+?\\d+$\/.test(s)?Number(s):NaN}function fmt(n){if(n===0)return'0';var a=Math.abs(n);return a>=1e12||a<1e-8?n.toExponential(9):Number(n.toPrecision(12)).toLocaleString('en-US',{maximumFractionDigits:20})}function clear(){['sl-r-ns','sl-r-nshz','sl-r-speed','sl-r-shaft','sl-r-slip','sl-r-slipratio','sl-r-diff','sl-r-signed-elec','sl-r-elec-mag','sl-r-mode','sl-r-diff-rpm','sl-r-direction','sl-summary'].forEach(function(id){$(id).textContent='\u2014'});$('sl-results').hidden=true;$('sl-results').dataset.json=''}function fail(m){clear();$('sl-error').textContent=m}function sync(){var direction=$('sl-direction').value;$('sl-speed-field').hidden=direction!=='speed-to-slip';$('sl-slip-field').hidden=direction!=='slip-to-speed';if(direction!=='speed-to-slip')$('sl-speed').value='';if(direction!=='slip-to-speed')$('sl-slip').value=''}function calc(){sync();var basis=$('sl-basis').value,direction=$('sl-direction').value,fR=$('sl-frequency').value,pR=$('sl-poles').value,speedR=$('sl-speed').value,slipR=$('sl-slip').value,source=$('sl-source').value.trim(),started=basis||direction||fR.trim()||pR.trim()||speedR.trim()||slipR.trim()||source;if(!started){$('sl-error').textContent='';clear();return}if(!['steady-motoring','steady-generating'].includes(basis)||!['speed-to-slip','slip-to-speed'].includes(direction)||!source){fail('Select the operating basis and calculation direction,and document the machine,state and measurement sources.');return}var frequency=num(fR),poles=integer(pR),speed,slip;if(!Number.isFinite(frequency)||!Number.isSafeInteger(poles)){fail('Enter a finite positive frequency and a positive even whole-number pole count.');return}if(!(frequency>0&&poles>=2&&poles%2===0)){fail('Frequency must be positive and pole count must be a positive even integer.');return}var 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range.');return}$('sl-error').textContent='';$('sl-r-ns').textContent=fmt(ns)+' r\/min';$('sl-r-nshz').textContent=fmt(syncHz)+' rev\/s';$('sl-r-speed').textContent=fmt(speed)+' r\/min';$('sl-r-shaft').textContent=fmt(shaftHz)+' rev\/s';$('sl-r-slip').textContent=fmt(slip*100)+' %';$('sl-r-slipratio').textContent='s = '+fmt(slip);$('sl-r-diff').textContent=fmt(diffHz)+' rev\/s';$('sl-r-signed-elec').textContent=fmt(signedElec)+' Hz';$('sl-r-elec-mag').textContent=fmt(elecMag)+' Hz';$('sl-r-mode').textContent=basis==='steady-motoring'?'Steady motoring':'Steady generating';$('sl-r-diff-rpm').textContent=fmt(diffRpm)+' r\/min';$('sl-r-direction').textContent=direction==='speed-to-slip'?'speed \u2192 slip':'slip \u2192 speed';$('sl-summary').textContent='Signed induction-machine kinematics only;no load,severity or fault 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\u0418\u0437\u0440\u0430\u0447\u0443\u043d\u0430\u0458\u0442\u0435 \u0441\u0438\u043d\u0445\u0440\u043e\u043d\u0443 \u0431\u0440\u0437\u0438\u043d\u0443, \u0441\u0442\u0432\u0430\u0440\u043d\u0438 \u0431\u0440\u043e\u0458 \u043e\u0431\u0440\u0442\u0430\u0458\u0430, \u043f\u0440\u043e\u0446\u0435\u043d\u0430\u0442 \u043a\u043b\u0438\u0437\u0430\u045a\u0430 \u0438 \u0444\u0440\u0435\u043a\u0432\u0435\u043d\u0446\u0438\u0458\u0443 \u043a\u043b\u0438\u0437\u0430\u045a\u0430 \u0437\u0430 \u0430\u0441\u0438\u043d\u0445\u0440\u043e\u043d\u0435 \u043c\u043e\u0442\u043e\u0440\u0435. \u041f\u043e\u0434\u0440\u0436\u0430\u0432\u0430 50Hz \u0438 60Hz, \u043e\u0434 2 \u0434\u043e 12 \u043f\u043e\u043b\u043e\u0432\u0430.<\/p>","protected":false},"featured_media":0,"template":"","meta":{"ai_generated_summary":"","footnotes":""},"categories":[],"tags":[],"class_list":["post-100161","calculator","type-calculator","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/vibromera.eu\/sr\/wp-json\/wp\/v2\/calculator\/100161","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vibromera.eu\/sr\/wp-json\/wp\/v2\/calculator"}],"about":[{"href":"https:\/\/vibromera.eu\/sr\/wp-json\/wp\/v2\/types\/calculator"}],"version-history":[{"count":3,"href":"https:\/\/vibromera.eu\/sr\/wp-json\/wp\/v2\/calculator\/100161\/revisions"}],"predecessor-version":[{"id":102497,"href":"https:\/\/vibromera.eu\/sr\/wp-json\/wp\/v2\/calculator\/100161\/revisions\/102497"}],"wp:attachment":[{"href":"https:\/\/vibromera.eu\/sr\/wp-json\/wp\/v2\/media?parent=100161"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vibromera.eu\/sr\/wp-json\/wp\/v2\/categories?post=100161"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vibromera.eu\/sr\/wp-json\/wp\/v2\/tags?post=100161"}],"curies":[{"name":"\u0412\u041f","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}