Solution

Solutions

Work order 1:

1.1  Delta connection

1.2  P = √3 U I      You use the line-values;  here cosφ = 1, because you have purely ohmic resistances

=> I = P / (√3 U) = 10000W / (√3 400V) = 14,43 A

1.3   Ptotal = 3 UPhase * IPhase = 3 U2Phase / RPhase     =>    RPhase = 3 U2Phase / PPhase =  3 * 4002V2 / 10000W = 48 Ω

 

Work order 2:

2.1   IPhase = U / R    with  U = UPhase, because you have Delta and

IStr = U / R  = 400V / 80Ω = 5A

2.3   I = 8,66A

2.4   Ptotal = 6 kW

2.5   RTotal = 2R || R = 160Ω * 80Ω / (160Ω + 80Ω)

Aufgabe 3:

3.1   Delta

3.2   U = UPhase = R * IPhase = 80Ω * 5A = 400V

3.3   I = √3 * IPhase = √3 * 5A = 8,66A

3.4   P = 3 PPhase = 3 R * I2Phase = 3 * 80Ω * 52A *  = 6 kW

3.5    See work order 2

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