{"id":134,"date":"2023-04-08T22:00:34","date_gmt":"2023-04-08T22:00:34","guid":{"rendered":"https:\/\/roepro.de\/?p=134"},"modified":"2024-11-24T08:16:25","modified_gmt":"2024-11-24T08:16:25","slug":"wltp-energiebedarfsrechnung","status":"publish","type":"post","link":"https:\/\/roepro.de\/index.php\/2023\/04\/08\/wltp-energiebedarfsrechnung\/","title":{"rendered":"WLTP Energiebedarfsrechnung"},"content":{"rendered":"\n<p>Wieviel Kraftstoff darf mein Fahrzeug verbrauchen ? Wie reduziere ich den Verbrauch ? Antworten f\u00fcr diese Fragen sind \u00fcberraschen einfach zu ermitteln. Wenn sie ein neues Fahrzeug anschauen, steht dort meistens ein durchschnittlicher Kraftstoffverbrauch, aber was bedeutet durchschnittlich ? Um den Fahrzyklus zu normen gibt es den WLTP Zyklus, dieser gibt ein Geschwindigkeitsprofil vor. Das schaut f\u00fcr die Fahrzeugkategorie 2 folgenderma\u00dfen aus:<\/p>\n\n\n\n<script src=\"https:\/\/cdn.plot.ly\/plotly-latest.min.js\"><\/script>\n\n\n<div id=\"SpeedPlot\" style=\"width:100%;max-width:700px\"><\/div>\n\n<script>\n\n\/\/ Generate values\nvar xValues = 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Display using Plotly\n\nvar data = [{x:xValues, y:yValues, mode:\"lines\"}];\nvar layout = {title: \"Geschwindigkeitsprofil nach WLTP f\u00fcr KFZ Kat. 2 \",xaxis: {title: 'Zeit in s'},yaxis: {title: 'Geschwindigkeit in km\/h'}};\nPlotly.newPlot(\"SpeedPlot\", data, layout);\n<\/script>\n\n\n\n<p>Wenn sie diesen Weg hinter sich haben, haben sie Energie verbraucht &#8211; auch wenn sie genau da ankommen, wo sie losgefahren sind. Das kennen sie bestimmt von ihrem Arbeitsalltag.<\/p>\n\n\n\n<p>Wenn man gegen einen gewissen Widerstand l\u00e4uft, braucht man Energie, die das Produkt aus Widerstand und Strecke ist. Folgender Zusammenhang gilt:  <\/p>\n\n\n\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n  <mi>E<\/mi>\n  <mo>=<\/mo>\n  <mo>s<\/mo>\n  <mo>*<\/mo>\n  <mo>F<\/mo>\n<\/math>\n\n\n\n<p>Der oben genannte Widerstand l\u00e4sst sich als eine Kraft in Newton ausdr\u00fccken. Auf ein Fahrzeug k\u00f6nnen bis zu 4 Kr\u00e4fte Wirken:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Luftwiderstandskraft<\/li>\n\n\n\n<li>Rollwiderstandskraft<\/li>\n\n\n\n<li>Beschleunigungswiderstandskraft (Tr\u00e4gheit)<\/li>\n\n\n\n<li>Hangabtriebskraft<\/li>\n<\/ul>\n\n\n\n<p>Alle Kr\u00e4fte kann man sehr einfach ausrechnen, die Hangabtrieskraft wird im folgenden weggelassen, nach Zeit x kommt man auf der H\u00f6he wieder an, von der man losgefahren ist. Die verbleibenden Kr\u00e4fte h\u00e4ngen alle von Fahrzeugparametern ab. Wichtig ist hier f\u00fcr das Rollen und Beschleunigen das Gewicht und f\u00fcr das durch die Luft Gleiten der cw*A Wert. Wenn sie ein anst\u00e4ndiges Auto fahren befindet sich das Fahrzeuggewicht im Bereich der 1400kg. F\u00fcr den cw*A Wert gibt es <a href=\"https:\/\/automobil-guru.de\/cw-werte-tabelle-stirnflaeche\/\" data-type=\"URL\" data-id=\"https:\/\/automobil-guru.de\/cw-werte-tabelle-stirnflaeche\/\">Tabellen<\/a> wo sie nach schauen k\u00f6nnen, was ihr Fahrzeug hat. Wenn sie bei dessen Anblick nicht in das Ende der deutschen Automobilindustrie sehen (vgl. Mercedes EQx) haben sie ein Wert f\u00fcr cw von etwa 0,3 und ein Stirnfl\u00e4che &#8222;A&#8220; von 2,17 m\u00b2.  Der letzte fehlende Parameter ist der Rollwiderstand, der kann auf 0,015 angenommen werden. Berechnet man f\u00fcr diese Eing\u00e4nge die ben\u00f6tigte Leistung, kommt folgendes Profil zu Stande:<\/p>\n\n\n\n<script src=\"https:\/\/cdn.plot.ly\/plotly-latest.min.js\"><\/script>\n\n\n<div id=\"EnergyPlot\" style=\"width:100%;max-width:700px\"><\/div>\n\n<script>\n\n\/\/ Generate values\nvar xValues = 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Display using Plotly\nvar data = [{x:xValues, y:yValues, mode:\"lines\"}];\nvar layout = {title: \"Leistungsbedarf f\u00fcr den WLTP Zyklus\",xaxis: {title: 'Zeit in s'},yaxis: {title: 'Antriebsleistung in W'}};\nPlotly.newPlot(\"EnergyPlot\", data, layout);\n<\/script>\n\n\n\n<p>Es f\u00e4llt auf: Die Leistung kann ja auch negativ werden. Leider entsteht hier kein Benzin im Motor und flie\u00dft zur\u00fcck in den Tank, es werden nur die Bremsen w\u00e4rmer &#8230; bei Elektrofahrzeugen nicht zwangsl\u00e4ufig. <\/p>\n\n\n\n<p>Das was nach dem mitteln der Kurve \u00fcbrig bleibt muss von &#8222;Au\u00dfen&#8220; zugef\u00fchrt werden. Die verbrauchte Energie ist weg. Man k\u00f6nnte sagen, die Energie ist nur umgewandelt und kann wieder aufgefangen und zu Benzin verwandelt werden, dann w\u00fcrde man aber l\u00fcgen. Die Entropie ist gestiegen und das ist irreversibel. <\/p>\n\n\n\n<p>An dieser Stelle kann man die Leistung nach der Zeit integrieren und bekommt eine Energie. Das habe ich mal gemacht, damit man es aber besser vergleich kann, habe ich es gleich von den im Zyklus gefahrenen 14,664km auf 100km hoch gerechnet. Der Energiebedarf betr\u00e4gt dann 8,713 kWh\/100km. Nicht schlecht. Ein guter Tesla braucht 13 kWh\/100km. Jetzt kann man dieses Model f\u00fcr alle m\u00f6glich Triebstrang Wirkungsgrade sowie Rekuperation-Potentiale anpassen. Wer das m\u00f6chte braucht LT-Spice, die Quelldaten sind hier, viel Spa\u00df:<\/p>\n\n\n\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-eed003e4-b86f-4932-8beb-a3d8d2616507\" href=\"https:\/\/roepro.de\/wp-content\/uploads\/2023\/04\/Fahrzyklusanalyse.asc\">Fahrzyklusanalyse<\/a><a href=\"https:\/\/roepro.de\/wp-content\/uploads\/2023\/04\/Fahrzyklusanalyse.asc\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-eed003e4-b86f-4932-8beb-a3d8d2616507\">Download<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Wieviel Kraftstoff darf mein Fahrzeug verbrauchen ? Wie reduziere ich den Verbrauch ? Antworten f\u00fcr diese Fragen sind \u00fcberraschen einfach zu ermitteln. Wenn sie ein neues Fahrzeug anschauen, steht dort meistens ein durchschnittlicher Kraftstoffverbrauch, aber was bedeutet durchschnittlich ? Um den Fahrzyklus zu normen gibt es den WLTP Zyklus, dieser gibt ein Geschwindigkeitsprofil vor. Das &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/roepro.de\/index.php\/2023\/04\/08\/wltp-energiebedarfsrechnung\/\" class=\"more-link\">Mehr <span class=\"screen-reader-text\">\u00fcber &#8222;WLTP Energiebedarfsrechnung&#8220; <\/span>Lesen<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-134","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/roepro.de\/index.php\/wp-json\/wp\/v2\/posts\/134","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/roepro.de\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/roepro.de\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/roepro.de\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/roepro.de\/index.php\/wp-json\/wp\/v2\/comments?post=134"}],"version-history":[{"count":14,"href":"https:\/\/roepro.de\/index.php\/wp-json\/wp\/v2\/posts\/134\/revisions"}],"predecessor-version":[{"id":150,"href":"https:\/\/roepro.de\/index.php\/wp-json\/wp\/v2\/posts\/134\/revisions\/150"}],"wp:attachment":[{"href":"https:\/\/roepro.de\/index.php\/wp-json\/wp\/v2\/media?parent=134"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/roepro.de\/index.php\/wp-json\/wp\/v2\/categories?post=134"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/roepro.de\/index.php\/wp-json\/wp\/v2\/tags?post=134"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}