Reflected Impedance (Complex Imaginary Vol2 Q3)

[farhap]

Good evening everyone, 

Can someone help me with the following question: 

There is a 16kV circuit with a load of 227 <31 ohm. An electrician has been instructed to create a transformer so that the reflected impedance of the load mentioned is 100<31 ohm. What is the turns ration?

I totally understand that Zp= a^2 Zsec and I have no problem with it. 

The way I understand the question is 227 <31 load is Zsecondary because its at the load and the 100<31 is the Zp. 
However, in the solution they flipped it, the 100<31 is the Zsec and 277<31 is the Zp. I read the question several times and for some reason my head can't get why they have it this way. isn't the load usually secondary? and reflected to the primary side? 

 

[Orchid PE]

The only thing I can think of is they are trying to say there is a transformer on a 16kV circuit that is drawing a load of 227∠31° Ω, not supplying.

I think reading the question this way is the only way to make their solution meaningful.

Otherwise, your thinking is correct in that if the transformer was supplying a 227∠31° Ω load, then we would multiply by a².