{"id":5380,"date":"2023-06-05T16:19:39","date_gmt":"2023-06-05T08:19:39","guid":{"rendered":"http:\/\/www.dcl-controls.com\/?p=5380"},"modified":"2025-03-31T09:18:37","modified_gmt":"2025-03-31T09:18:37","slug":"why-voltage-signal-oscillate","status":"publish","type":"post","link":"https:\/\/dclactuator.com\/da_dk\/stotte\/ta-acutator\/hvorfor-oscillerer-spaendingssignalet","title":{"rendered":"Hvorfor oscillerer sp\u00e6ndingsudgangssignaler under visse forhold?"},"content":{"rendered":"<div data-elementor-type=\"wp-post\" data-elementor-id=\"5380\" class=\"elementor elementor-5380\" data-elementor-post-type=\"post\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-1893469 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"1893469\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-61d5be0\" data-id=\"61d5be0\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-f64e7bf elementor-widget elementor-widget-text-editor\" data-id=\"f64e7bf\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h3>\u00a0<\/h3><h2><strong>1. Sp\u00e6ndingssignalets transmissionsvej<\/strong><\/h2><figure style=\"width: 960px\" class=\"wp-caption alignnone\"><img fetchpriority=\"high\" decoding=\"async\" src=\"\/wp-content\/uploads\/2023\/06\/voltage-signal-path.webp\" alt=\"Fig. 1 Transmissionsvej for sp\u00e6ndingskildesignaler\" width=\"960\" height=\"299\" \/><figcaption class=\"wp-caption-text\">Fig. 1 Transmissionsvej for sp\u00e6ndingskildesignaler<\/figcaption><\/figure><p>Som vist i <strong>Figur 1<\/strong>, et sp\u00e6ndingssignaltransmissionssystem best\u00e5r af tre n\u00f8glekomponenter:<\/p><ol><li><p><strong>Negativ feedbacksp\u00e6ndingsudgangskredsl\u00f8b<\/strong><\/p><\/li><li><p><strong>Signaltransmissionskabel<\/strong><\/p><ul><li><p>Inkluderer <strong>parasitisk kapacitans (C1)<\/strong> og <strong>parasitisk induktans (L1)<\/strong>, som afh\u00e6nger af <strong>kabell\u00e6ngde<\/strong> og <strong>ledningsf\u00f8ringslayout<\/strong>.<\/p><\/li><\/ul><\/li><li><p><strong>Indgangssignalopsamlingskredsl\u00f8b<\/strong><\/p><ul><li><p>Kan omfatte en <strong>lavpasfilter (L2, C2)<\/strong>.<\/p><\/li><\/ul><\/li><\/ol><hr \/><h2><strong>2. Hvorfor opst\u00e5r oscillation?<\/strong><\/h2><p>I et negativt feedback-sp\u00e6ndingssignalsystem beregnes indgangssignalet som:<\/p><p><span class=\"katex\">\u2223Xi\u2032\u2223=\u2223Xi\u2223\u2212\u2223Xf\u2223|X_i&#039;| = |X_i| \u2013 |X_f|<\/span><\/p><p>Men hvis <strong>Feedbacksignalet (|Xf|) er faseforskudt med 180\u00b0<\/strong>, \u00e6ndres ligningen til:<\/p><p><span class=\"katex\">\u2223Xi\u2032\u2223=\u2223Xi\u2223+\u2223Xf\u2223|X_i&#039;| = |X_i| + |X_f|<\/span><\/p><p>Det betyder, at selvom <strong>intet indgangssignal<\/strong> anvendes (<strong>|Xi| = 0<\/strong>), den <strong>feedbacksignalet opretholder outputtet<\/strong>, hvilket f\u00f8rer til <strong>selvopretholdende svingning<\/strong>.<\/p><p>For at oscillation kan forekomme, skal to betingelser v\u00e6re opfyldt:<\/p><ol><li><p><strong>Loopforst\u00e6rkningen er st\u00f8rre end 1:<\/strong> <strong>|AF| &gt; 1<\/strong><\/p><\/li><li><p><strong>Faseskift opfylder:<\/strong> <strong>\u03c6A + \u03c6F = (2n+1)\u03c0<\/strong><\/p><\/li><\/ol><p>Den <strong>faseskift<\/strong> i loopet kommer fra flere kilder:<br \/>\u2714 <strong>Parasitisk kapacitans (C1) og induktans (L1) i transmissionskablet<\/strong><br \/>\u2714 <strong>Lavpasfilterkomponenter (L2, C2) i indgangskredsl\u00f8bet<\/strong><br \/>\u2714 <strong>Filterkondensatorer i udgangskredsl\u00f8bet<\/strong><\/p><p>Hvis <strong>den samlede faseforskydning n\u00e5r 180\u00b0<\/strong>, kan der forekomme selvsvingninger.<\/p><hr \/><h2><strong>3. Hvordan forebygger man oscillation?<\/strong><\/h2><p>For at forhindre svingninger, <strong>en af de to ovenst\u00e5ende betingelser m\u00e5 ikke v\u00e6re opfyldt<\/strong> inden for det operationelle frekvensomr\u00e5de.<\/p><figure style=\"width: 417px\" class=\"wp-caption alignnone\"><img decoding=\"async\" class=\"size-medium\" src=\"\/wp-content\/uploads\/2023\/06\/self-excited-oscilation-factor.webp\" alt=\"Fig. 2 Tilstand af negativ feedback-sl\u00f8jfe uden oscillation\" width=\"417\" height=\"415\" \/><figcaption class=\"wp-caption-text\">Fig. 2 Tilstand af negativ feedback-sl\u00f8jfe uden oscillation<\/figcaption><\/figure><p>Som vist i <strong>Figur 2<\/strong>, to kritiske frekvenser tages i betragtning:<\/p><ul><li><p><strong>fc:<\/strong> Frekvensen hvor loopforst\u00e6rkning <strong>|AF| falder til 0 dB<\/strong>.<\/p><\/li><li><p><strong>for:<\/strong> Frekvensen, hvor loopfaseforskydningen overstiger <strong>-180\u00b0<\/strong>.<\/p><\/li><\/ul><p>For at opretholde stabiliteten, <strong>forst\u00e6rkningen b\u00f8r v\u00e6re under 0 dB<\/strong> n\u00e5r faseskiftet n\u00e5r -180\u00b0.<\/p><hr \/><h2><strong>4. Hvorfor str\u00f8mudgangssignaler er mere stabile<\/strong><\/h2><figure style=\"width: 600px\" class=\"wp-caption alignnone\"><img decoding=\"async\" class=\"size-medium\" src=\"\/wp-content\/uploads\/2023\/06\/current-signal-feedback-path.webp\" alt=\"Fig. 3 Str\u00f8mkilde-feedbackloop\" width=\"600\" height=\"406\" \/><figcaption class=\"wp-caption-text\">Fig. 3 Str\u00f8mkilde-feedbackloop<\/figcaption><\/figure><figure style=\"width: 586px\" class=\"wp-caption alignnone\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium\" src=\"\/wp-content\/uploads\/2023\/06\/voltage-signal-feedback-path.webp\" alt=\"Fig. 4 Sp\u00e6ndingskildens feedback-sl\u00f8jfe\" width=\"586\" height=\"425\" \/><figcaption class=\"wp-caption-text\">Fig. 4 Sp\u00e6ndingskildens feedback-sl\u00f8jfe<\/figcaption><\/figure><p><strong>Str\u00f8msignaludgangskredsl\u00f8b<\/strong> er mindre tilb\u00f8jelige til svingninger fordi:<br \/>\u2714 <strong>Deres feedbackvej er begr\u00e6nset til interne komponenter<\/strong> (som vist i <strong>Figur 3<\/strong>).<br \/>\u2714 <strong>Eksterne belastningsvariationer har ringe effekt p\u00e5 faseskift eller forst\u00e6rkning<\/strong>.<\/p><p>I mods\u00e6tning hertil, <strong>sp\u00e6ndingsudgangskredsl\u00f8b<\/strong> (Figur 4) f\u00e5 feedback fra <strong>udgangspunkt<\/strong>, hvilket betyder at <strong>eksterne kabler og samplingskredsl\u00f8b<\/strong> kan p\u00e5virke faseskift og forst\u00e6rkning. Hvis deres parametre \u00e6ndres, vil systemet <strong>kan opfylde oscillationsbetingelserne<\/strong>, hvilket f\u00f8rer til ustabilitet.<\/p><hr \/><h3><strong>5. Konklusion<\/strong><\/h3><p>Sp\u00e6ndingsudgangssignaler kan oscillere, n\u00e5r:<br \/>\u2714 <strong>Parasitiske komponenter introducerer et faseskift p\u00e5 180\u00b0.<\/strong><br \/>\u2714 <strong>Loopforst\u00e6rkningen forbliver st\u00f8rre end 1 ved dette faseskift.<\/strong><\/p><p>For at undg\u00e5 svingninger:<br \/>\u2714 <strong>S\u00f8rg for, at loopforst\u00e6rkningen reduceres til under 0 dB, f\u00f8r faseforskydningen n\u00e5r 180\u00b0.<\/strong><br \/>\u2714 <strong>Minimer parasitisk kapacitans\/induktans i transmissionskabler.<\/strong><br \/>\u2714 <strong>Brug passende filtrering til at stabilisere feedback-loopet.<\/strong><\/p><p>I mods\u00e6tning hertil, <strong>str\u00f8mtypeudgange<\/strong> er mere stabile siden deres <strong>Feedback-sl\u00f8jfen p\u00e5virkes mindre af eksterne belastningsforhold<\/strong>.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>","protected":false},"excerpt":{"rendered":"<p>\u00a0 1. Sp\u00e6ndingssignaltransmissionsvej Som vist i figur 1 best\u00e5r et sp\u00e6ndingssignaltransmissionssystem af tre n\u00f8glekomponenter: Negativ feedback-sp\u00e6ndingsudgangskredsl\u00f8b Signaltransmissionskabel Omfatter parasitisk kapacitans (C1) og parasitisk induktans (L1), som afh\u00e6nger af kabell\u00e6ngde og ledningsf\u00f8ringslayout. Indgangssignalopsamlingskredsl\u00f8b Kan omfatte et lavpasfilter (L2, [\u2026]<\/p>","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"elementor_theme","format":"standard","meta":{"_acf_changed":true,"footnotes":""},"categories":[8],"tags":[49],"class_list":["post-5380","post","type-post","status-publish","format-standard","hentry","category-ta-acutator","tag-input-signal"],"acf":[],"_links":{"self":[{"href":"https:\/\/dclactuator.com\/da_dk\/wp-json\/wp\/v2\/posts\/5380","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/dclactuator.com\/da_dk\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/dclactuator.com\/da_dk\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/dclactuator.com\/da_dk\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/dclactuator.com\/da_dk\/wp-json\/wp\/v2\/comments?post=5380"}],"version-history":[{"count":0,"href":"https:\/\/dclactuator.com\/da_dk\/wp-json\/wp\/v2\/posts\/5380\/revisions"}],"wp:attachment":[{"href":"https:\/\/dclactuator.com\/da_dk\/wp-json\/wp\/v2\/media?parent=5380"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/dclactuator.com\/da_dk\/wp-json\/wp\/v2\/categories?post=5380"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/dclactuator.com\/da_dk\/wp-json\/wp\/v2\/tags?post=5380"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}