Czasopismo | PRZEGLĄD ELEKTROTECHNICZNY | Rocznik 2019 - zeszyt 6

Derivation of The Planar Square Coil Litz-Wire Winding Resistance for Sinusoidal Currents

Wyprowadzenie równania na rezystancje˛ uzwojenia planarnej cewki w kształcie kwadratu pracuja˛cej w obwodach rezonansowych z pra˛dem sinusoidalnym

10.15199/48.2019.06.19

nr katalogowy: 120463
10.15199/48.2019.06.19

Streszczenie

In this paper the AC winding resistance of the litz wire wound planar square coil is derived. The Biot-Savart’s law is used to derive analytical expression for the AC winding resistance. Analytical calculations are done for two planar square coils of different size. Experimental verification and comparison of the calculated and measured winding resistances are performed.

Abstract

Wartykule tym, wyprowadzone zostało rownanie na rezystancj˛e uzwojenia cewek planarnych w kształcie kwadratu przewodza˛cych pra˛d przemienny. Rezystancja takich cewek nie jest stała lecz zmienia sie˛ wraz ze wzrostem czestotliwosci. Przyczyna˛ zmiany tejz˙e rezystancji jest przede wszystkim efekt zbli˙zeniowy, który powstaje podczas indukowania si ˛e pr ˛ adow wirowych w uzwojeniu. Wpływ efektu zbli˙zeniowego na rezystancje uzwojenia jest silniejszy wraz ze wzrostem czestotliwosci. Analityczne równanie na rezystancje˛ uzwojenia dla pra˛dow przemiennych takiej cewki, wyprowadzono bazuja˛c na prawie Biot-Savart’s. Experymentalna weryfikacja i porównanie teoretycznych obliczen została równiez˙ dokonana i przedstawiona w tym artykule.

Słowa kluczowe

Keywords

Bibliografia

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