Designing a matching circuit for maximum power transfer

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Hello.

I need to design a matching circuit to provide maximum power transfer from a generator with impedance Zg to a load with impedance ZL. The matching circuit has a length of transmission line with impedance Z0 and short circuit or open circuit stub with impedance Zs. I need to design with a short circuit stub and then an open circuit stub.

I am just not sure how to match Zg to ZL. I now if I was matching to just a line with impedance Z0, I would find the normalised impedance. Plot that point on the Smith chart, drawing a circile of that radius. Then, where that circuit crosses the 1 + jx circle, I can find the lengths of stubs needed, and the distances.

But I am just not sure if it is the same process for matching Zg to ZL. And I am not sure about the maximum power transfer.

I hope someone can point me in the right direction.

Thanks
-S
 
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I'm pretty sure it can be located anywhere between the source and load.

-S