Edit: Alp-500G is more like ~2.6/2.8 larger than Alp-300G. Range increases from 450km to ~800km/850km if power is not increased.
I need to me more careful and double check my calculations...
To summarize, your calculation is that increasing number of TRM of a phased array radar WITHOUT increasing total power emission, the range to detect an object of the same RCS will increase linearly to the porportion of TRM increase. Do you mind sharing where do you get this idea?See this:
The array is actually around 2x the size of the Alp 300-G, hence 450km*1.68=756km without increase in power. The less power that goes through those TRMs, the longer their longevity.
As far as I learnt from the school, phased array is only good in forming and steering the beam than a parabolic radar, as the beams go out to the target, there is no difference in how they attenuate, reflected off the same object and reduced in signal strengh at the reciever. When outgoing power remained unchanged, the returned signal strength isn't changed. More TRM may give you better resolution, but not SN ratio, therefor no range change. The major factor (if not the only) of range is power.
Read this
, especially this part
In order to double the range, the transmitted power would have to be increased by 16-fold!