Wirbelströme und Schirmung in der Nachrichtentechnik by Heinrich Kaden

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By Heinrich Kaden

Die "Klassiker der Technik" sind unveränderte Neuauflagen traditionsreicher ingenieurwissenschaftlicher Werke. Wegen ihrer didaktischen Einzigartigkeit und zeitlosen Inhalte gehören sie zur Standardliteratur von Ingenieuren. Wer sie studiert, versteht die Hintergründe vieler computergestützter Verfahren. Oft bietet ein "Klassiker" einen Fundus an wichtigen Berechnungs- oder Konstruktionsbeispielen für Musterlösungen moderner Problemstellungen.

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Die Spulengüte wird also durch die Zusatzverluste beträchtlich reduziert. Die Zusatzverluste kann man nun durch Aufteilen des Luftspaltes in zwei oder mehrere mit gleicher Gesamtlänge vermindern (Abb. 32). Zum Beispiel ist bei zwei Spalten mit je halber Länge wie in Abb. 32b die Feldstärke in ihrer Umgebung nur halb so groß wie vorher bei einem einzigen Spalt. Infolgedessen sind die Verluste in den benachbarten Drähten je Spalt nur ein Viertel von denen, die in der Umgebung des Spaltes nach Abb.

Die Verbindungslinie der beiden Linienpole liegt in der x-Achse (Abb. 20). Wir wenden uns jetzt dem Feld im Drahtinneren (r ~ ' 0 ) zu. 20 nur eine einzige Komponente hat (E z = E). Nach GI. (A 20) und GI. (A 41) muß sie die partielle Differentialgleichung (29) befriedigen. Auch hier separieren wir die Variablen rund rp durch den Produktansatz (30) E = g(r) cosrp. Wir haben hier als Faktor die Kosinusfunktion gewählt, weil E für rp = 7t/2 verschwinden muß und nur cos rp ein magnetisches Feld liefert, das mit den GI.

32) hier folgende Reihe erhält: E=jwl'oroHa 00 1: m=l CmJm(jkr}cosmcp (92) (Cm unbekannte Konstanten). Damit ergeben sich wie in GI. 2' Cm J~(j kr) cosm cp. m=l Wir sind jetzt in der Lage, die Grenzbedingungen an der Oberfläche (r = ro) anzusetzen, die für jeden Wert von cp erfüllt sein müssen. :r-1CmJm(jkro)' 1 +Wm = • r; 2a )m-l ( ]K - ,. Cm J m (] k ro), (94) aus denen sich die Rückwirkungsfaktoren zu W m = j K J~(j k '1'0) j K J~(j kro) - m J .. (j k '1'0) + m Jm(j kro) (95) berechnen. oll'.

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