Assuming that the feed impedance of one bay is 300 ohms, then you would run 300 ohm line to where they join, and when you join them in phase, the impedance would be 150 ohm as you say. If you want 300 ohms at the junction (to use your standard balun), then what you could do is make the last quarter wavelength to be sqrt(300 x 600) = 424 ohms to transform the impedance to 600 ohms prior to joining. The 600 ohm from each side would then parallel up to make 300 ohms seen by the balun. You could do this by keeping the 1.5 in spacing and reducing the wire diameter to 0.09in (using: https://hamwaves.com/zc.circular/en/index.html,) or keep your wire diameter of 0.186 and increase the spacing to about 3.2in, like:
lambda/4 at 550MHz is around 5.4in.
If the assumption of a bowtie impedance of 300 ohms is correct then this will improve the signal combining, if the assumption is incorrect then it may not. Experiment! Also you don't need hard right angles as in the diagram - you can 'smear' out the transition a bit. 3.2 in is also getting a bit wide for a tx line at these frequencies, you could also try the thinner line option.
lambda/4 at 550MHz is around 5.4in.
If the assumption of a bowtie impedance of 300 ohms is correct then this will improve the signal combining, if the assumption is incorrect then it may not. Experiment! Also you don't need hard right angles as in the diagram - you can 'smear' out the transition a bit. 3.2 in is also getting a bit wide for a tx line at these frequencies, you could also try the thinner line option.
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