{"id":916,"date":"2024-11-29T22:52:23","date_gmt":"2024-11-29T22:52:23","guid":{"rendered":"https:\/\/hintek.se\/?page_id=916"},"modified":"2024-12-06T16:49:47","modified_gmt":"2024-12-06T16:49:47","slug":"faskompensering2","status":"publish","type":"page","link":"https:\/\/hintek.se\/index.php\/faskompensering2\/","title":{"rendered":"Faskompensering2"},"content":{"rendered":"\n<p class=\"has-text-align-center\"><\/p>\n\n\n<script>\r\nMathJax = {\r\n  tex: {\r\n    displayAlign: \"left\",  \/\/ Justera alla \"display mode\"-formler till v\u00e4nster\r\n    inlineMath: [['$', '$'], ['\\\\(', '\\\\)']] \/\/ Definierar inline-math\r\n  },\r\n  options: {\r\n    ignoreHtmlClass: \"tex2jax_ignore\", \/\/ Ignorera vissa HTML-klasser\r\n    processHtmlClass: \"tex2jax_process\" \/\/ Processa endast specifika klasser om n\u00f6dv\u00e4ndigt\r\n  }\r\n};\r\n<\/script>\r\n<script src=\"https:\/\/cdn.jsdelivr.net\/npm\/mathjax@3\/es5\/tex-chtml-full.js\" id=\"MathJax-script\" async><\/script>\r\n\r\n<!-- L\u00e4gg till denna CSS f\u00f6r att v\u00e4nsterjustera all text och formler -->\r\n<style>\r\n  body, div, p, ul, li, h2, h3, h4 {\r\n    text-align: left !important; \/* Tvinga v\u00e4nsterjustering f\u00f6r all text *\/\r\n  }\r\n  .MathJax_Display {\r\n    text-align: left !important; \/* Tvinga v\u00e4nsterjustering f\u00f6r MathJax displayformler *\/\r\n    margin-left: 0 !important;   \/* Se till att inget extra mellanrum finns till v\u00e4nster *\/\r\n    margin-top: 0 !important;    \/* Ta bort extra \u00f6vermarginal f\u00f6r att minska radbrytningar *\/\r\n    margin-bottom: 0 !important; \/* Ta bort extra undermarginal f\u00f6r att minska radbrytningar *\/\r\n  }\r\n  .mjx-chtml, .mjx-inline, .mjx-math {\r\n    text-align: left !important; \/* Tvinga v\u00e4nsterjustering f\u00f6r MathJax-renderade element och inlineformler *\/\r\n  }\r\n  .MathJax {\r\n    display: inline !important; \/* G\u00f6r s\u00e5 att alla formler behandlas som inline-element f\u00f6r mindre mellanrum *\/\r\n  }\r\n<\/style>\r\n\r\n<div>\r\n\r\n<h2>Hur ber\u00e4kningarna i faskompenseringsverktyget fungerar<\/h2>\r\n\r\n<p>\r\nDetta verktyg hj\u00e4lper dig att ber\u00e4kna vilket kondensatorbatteri som beh\u00f6vs f\u00f6r att f\u00f6rb\u00e4ttra din anl\u00e4ggnings effektfaktor (cos \u03c6). \r\nGenom att mata in dina befintliga data \u2013 aktiv effekt, sp\u00e4nning och nuvarande effektfaktor \u2013 samt den \u00f6nskade effektfaktorn, \r\nkan du snabbt f\u00e5 fram hur mycket reaktiv effekt som m\u00e5ste kompenseras.\r\n<\/p>\r\n\r\n<hr>\r\n\r\n<h3>Utg\u00e5ngspunkten<\/h3>\r\n\r\n<p>\r\nI detta verktyg anger du:\r\n<\/p>\r\n<ul>\r\n    <li><strong>Aktiv effekt (P):<\/strong> t.ex. 10 MW (10 000 000 W)<\/li>\r\n    <li><strong>Sp\u00e4nning (V):<\/strong> Din nominella systemsp\u00e4nning, t.ex. 400 V<\/li>\r\n    <li><strong>Nuvarande cos \u03c6 (cos \u03c6\u2081):<\/strong> Din nuvarande effektfaktor, t.ex. 0,6<\/li>\r\n    <li><strong>\u00d6nskad cos \u03c6 (cos \u03c6\u2082):<\/strong> Den effektfaktor du vill uppn\u00e5, t.ex. 0,9<\/li>\r\n    <li><strong>Frekvens (f):<\/strong> Vanligtvis 50 Hz i Sverige<\/li>\r\n<\/ul>\r\n\r\n<p>\r\nN\u00e4r du trycker p\u00e5 \"Ber\u00e4kna\" r\u00e4knar verktyget ut hur mycket reaktiv effekt som m\u00e5ste kompenseras med hj\u00e4lp av kondensatorer.\r\n<\/p>\r\n\r\n<hr>\r\n\r\n<h3>Vad verktyget g\u00f6r n\u00e4r du trycker p\u00e5 \"Ber\u00e4kna\"<\/h3>\r\n\r\n<h4>1. Aktiv effekt (P)<\/h4>\r\n<p>\r\nDen aktiva effekten (P) \u00e4r det inmatade v\u00e4rdet i MW eller kW. Anger du till exempel 10 MW utg\u00e5r ber\u00e4kningarna fr\u00e5n detta v\u00e4rde.\r\n<\/p>\r\n\r\n<h4>2. Reaktiv effekt f\u00f6re kompensering (Q\u2081)<\/h4>\r\n  <p>\r\n    F\u00f6r att ber\u00e4kna den reaktiva effekten innan kompensering b\u00f6rjar vi med att r\u00e4kna ut fasvinkeln (\\( \\varphi_1 \\)) fr\u00e5n den nuvarande effektfaktorn (\\( \\cos \\varphi_1 \\)). Vid \\( \\cos \\varphi_1 = 0,6 \\):  \r\n  <\/p>\r\n  <p>\r\n    \\[\r\n    \\varphi_1 = \\arccos(0,6) \\approx 53,13^\\circ\r\n    \\quad \\Rightarrow \\quad \\tan(53,13^\\circ) \\approx 1,333\r\n    \\]\r\n  <\/p>\r\n  <p>\r\n    \\[\r\n    Q_1 = P \\times \\tan(\\varphi_1) = 10 \\, MW \\times 1,333 = 13,33 \\, Mvar.\r\n    \\]\r\n  <\/p>\r\n  <p>\r\n    Detta visar den reaktiva effekten i systemet innan kompensering.\r\n  <\/p>\r\n\r\n  <hr>\r\n\r\n  <h4>3. Reaktiv effekt efter kompensering (Q\u2082)<\/h4>\r\n  <p>\r\n    N\u00e4sta steg \u00e4r att r\u00e4kna ut hur mycket reaktiv effekt som skulle finnas om du hade din \u00f6nskade effektfaktor (\\( \\cos \\varphi_2 \\)). Vid \\( \\cos \\varphi_2 = 0,9 \\):  \r\n  <\/p>\r\n  <p>\r\n    \\[\r\n    \\varphi_2 = \\arccos(0,9) \\approx 25,84^\\circ\r\n    \\quad \\Rightarrow \\quad \\tan(25,84^\\circ) \\approx 0,484\r\n    \\]\r\n  <\/p>\r\n  <p>\r\n    \\[\r\n    Q_2 = P \\times \\tan(\\varphi_2) = 10 \\, MW \\times 0,484 = 4,84 \\, Mvar.\r\n    \\]\r\n  <\/p>\r\n  <p>\r\n    Detta motsvarar reaktiv effekten om din anl\u00e4ggning redan vore f\u00f6rb\u00e4ttrad till \\( \\cos \\varphi = 0,9 \\).\r\n  <\/p>\r\n   <hr>\r\n<h4>4. Hur mycket kondensatorerna m\u00e5ste kompensera (Q<sub>c<\/sub>)<\/h4>\r\n<p>\r\nSkillnaden mellan Q\u2081 och Q\u2082 ber\u00e4ttar hur mycket reaktiv effekt du m\u00e5ste \"ta bort\" med kondensatorerna:\r\n<\/p>\r\n<p>\r\n\\[\r\nQ_c = Q_1 - Q_2 = 13,33\\,Mvar - 4,84\\,Mvar = 8,49\\,Mvar.\r\n\\]\r\n<\/p>\r\n<p>\r\nDetta \u00e4r den reaktiva effekten kondensatorbatteriet ska kompensera f\u00f6r att n\u00e5 den \u00f6nskade effektfaktorn.\r\n<\/p>\r\n\r\n<h4>5. Ber\u00e4kning av kapacitansen (C)<\/h4>\r\n<p>\r\nMed Q<sub>c<\/sub> k\u00e4nd anv\u00e4nds formeln f\u00f6r kapacitiv reaktans:\r\n<\/p>\r\n<p>\r\n\\[\r\nQ_c = 2 \\pi f U^2 C \\implies C = \\frac{Q_c}{2 \\pi f U^2}\r\n\\]\r\n<\/p>\r\n<p>\r\nS\u00e4tt in dina v\u00e4rden (t.ex. f = 50 Hz, U = 400 V, Q<sub>c<\/sub> = 8,49 Mvar):\r\n\\[\r\nC \\approx 0,1689\\,F \\approx 168\\,900\\,\\mu F.\r\n\\]\r\n<\/p>\r\n<p>\r\nVerktyget visar slutligen kapacitans i olika enheter.\r\n<\/p>\r\n\r\n<hr>\r\n\r\n<h3>Slutsats \u2013 Vad verktyget ger dig<\/h3>\r\n<p>\r\nVerktyget tar dina inmatade v\u00e4rden och utf\u00f6r exakta trigonometriska och fysiska ber\u00e4kningar f\u00f6r att:\r\n<\/p>\r\n<ul>\r\n    <li>Ber\u00e4kna hur mycket reaktiv effekt (Q<sub>c<\/sub>) som m\u00e5ste kompenseras.<\/li>\r\n    <li>Visa hur stort kondensatorbatteri (i Mvar och Farad\/\u00b5F) du beh\u00f6ver f\u00f6r att n\u00e5 din \u00f6nskade effektfaktor.<\/li>\r\n<\/ul>\r\n\r\n<p>\r\nP\u00e5 s\u00e5 s\u00e4tt f\u00e5r du ett tillf\u00f6rlitligt underlag f\u00f6r att dimensionera ditt kondensatorbatteri, minska on\u00f6dig reaktiv effekt och f\u00f6rb\u00e4ttra ditt systems totala effektivitet.\r\n<\/p>\r\n\r\n<\/div>\r\n\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"disabled","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center 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