I had a Chinese firm construct the auto-transformer (3-pin inductor) seen in the image below.
The inductances of its windings, and its physical dimensions are according to my specifications, but I don't believe that they are necessary with respect to this question.
The primary winding is on the left; and secondary is on the right. Notice the gap between them...
The coupling coefficient is relatively low (not surprisingly), at 0.54. This is likely too low for my application, and needs to be increased.
My question is as follows: What should I instruct them to change in order to increase the coupling between the windings? My intuition tells me that the primary should be wrapped around the secondary. Would this help? Anything else?
Any advice is greatly appreciated


The inductances of its windings, and its physical dimensions are according to my specifications, but I don't believe that they are necessary with respect to this question.
The primary winding is on the left; and secondary is on the right. Notice the gap between them...
The coupling coefficient is relatively low (not surprisingly), at 0.54. This is likely too low for my application, and needs to be increased.
My question is as follows: What should I instruct them to change in order to increase the coupling between the windings? My intuition tells me that the primary should be wrapped around the secondary. Would this help? Anything else?
Any advice is greatly appreciated