That cooling capacity is interesting as it can be directly used to estimate the radar's potential range.
Assuming 2000 TRM's for Su-30's and TRM PAE of say 35% (typical for A-class amplifier, as it provide the most linear signal) and frequency of 9500 MHz and 25% duty cycle typical for Russian Radar. The resulting AESA can have 22.6 KW of peak power, each TRM's is then yield 11.2 Watt of peak and 2.82 or maybe 3 Watt of Average emitted power.
The resulting radar with those above allows for 249 Km range against a 3 sqm target with probability of detection (PD) of 90%, which easily supports long range AAM's. in other word it can lock the target at that range. While for detection a smaller SNR is allowed which correspond to PD of 50% (e.g 13-15 dB) While 90% requires higher SNR could be as high as 24 dB.
The following are my estimate of range.
Increasing the cooling capacity even more will allow the radar to accommodate more powerful modules. The other way however is to maximize the amount of TRM's that the antenna could hold. The latter promise 68% gain in range for every twice amount of TRM carried (e.g 1200 to 2400).