Series and parallel connection of coupled inductors

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Series and parallel connection of coupled inductors [Copy link]

Series and parallel connection of coupled inductors

I. Series connection
1. Same-direction series connection Connecting the opposite-name ends of the two coils of the coupled inductor is the same-direction series connection, as shown in Figure 7-3-1 (a) .

Figure 7-3-1 Series connection of coupled inductors and their equivalent circuit

So there is

is the equivalent inductance of the same direction series connection. Since M≥0, L≥L1 +L2 must be true , and its equivalent circuit is shown in Figure 7-3-1(b). 2. Reverse series connection Connecting the same-name ends of the two coils of the coupled inductor is reverse series connection, as shown in Figure 7-3-1(c). Similarly, the equivalent inductance is 　　　　　　 　L=L1 + L2-2M . Since M≥0 , L≥L1 +L2 must be true , and its equivalent circuit is still shown in Figure 7-3-1(b). II. Parallel connection 1. Same -direction parallel connection Connecting the same-name ends of the two coils of the coupled inductor is same-direction parallel connection, as shown in Figure 7-3-2(b). So we have

Where 　　　L = (L 1 +L 2 -M ² )/ (L 1 +L 2 - 2 M) is the equivalent inductance of the same direction parallel connection, and its equivalent circuit is shown in Figure 7-3-2 (b).
2. Reverse parallel connection Connecting the opposite ends of the two coils of the coupled inductor is reverse parallel connection, as shown in Figure 7-3-2 (c). Similarly, the equivalent inductance can be obtained as
　　　　　 L = (L 1 +L 2 -M ² )/ (L 1 +L 2 - 2 M)
and its equivalent circuit is still shown in Figure 7-3-2 (b).

Figure 7-3-2 Parallel connection of coupled inductors and their equivalent circuit