I'm trying to calculate the power loss over an electrical cable.

The information of the system is:

Maximum current of

**20.92 A**per unit at

**34.5kV**

The cable has the following properties:

DC Resistance at 25 deg C (

**0.1672**ohms/1000 ft)

AC Resistance at 25 deg C (

**0.1672**ohms/1000ft)

The length of the cable is

**47370.1ft**

The technical report paper I got the calculation from gives the maximum losses in the cable as

**10398.8W**

So far I haven't been able to get the same answer using P=I^2*R where R is the impedance of the cable R=sqrt(0.1672^2+0.1672^2)=0.2365 ohms/1000ft then (0.2365/1000)*47370.1=11.2 ohms as the impedance of the length of the cable. P=I^2*R=4902.1W

Could someone please tell me where I've gone wrong here?

Thanks in advance