Well heres my initial very basic research, as expected there is no advantage to merely multiplying a ships systems to make a bigger ship. Obviously however a larger ship can do away with redundant systems to become cheaper, but then you're changing a variable, the smaller equal fleet has this redundancy and getting rid of it is a risk that the smaller fleet can take too, therefore it's not really an advantage. What I'm truely interested in is the effect persuing large ship sizes has on a empire.
Here's what I have, it's an attempt to replicate the first ship design in Sublight's battle for Barnards star.
Amon class Cruiser 11,050 tons 283 Crew 2057.76 BP TCS 221 TH 352.5 EM 0
2126 km/s Armour 2-44 Shields 0-0 Sensors 1/55/0/0 Damage Control Rating 5 PPV 70
Maint Life 2.04 Years MSP 582 AFR 195% IFR 2.7% 1YR 187 5YR 2805 Max Repair 315 MSP
Intended Deployment Time: 6 months Spare Berths 0
Magazine 814
235.2 EP Magneto-plasma Drive (2) Power 235.2 Fuel Use 58.29% Signature 176.4 Exp 10%
Fuel Capacity 500,000 Litres Range 14.0 billion km (76 days at full power)
Size 12 Missile Launcher (50% Reduction) (10) Missile Size 12 Rate of Fire 600
Size 5 Missile Launcher (2) Missile Size 5 Rate of Fire 50
Missile Fire Control FC84-R6 (2) Range 84.9m km Resolution 6
Missile Fire Control FC300-R75 (2) Range 300.1m km Resolution 75
Torpedo (42) Speed: 27,600 km/s End: 52.7m Range: 87.2m km WH: 9 Size: 5 TH: 138/82/41
Delivery Van (50) Speed: 10,800 km/s End: 454.4m Range: 304.5m km WH: 0 Size: 12 TH: 36/21/10
Active Search Sensor MR300-R75 (1) GPS 23625 Range 300.1m km Resolution 75
EM Detection Sensor EM5-55 (1) Sensitivity 55 Detect Sig Strength 1000: 55m km
Missile to hit chances are vs targets moving at 3000 km/s, 5000 km/s and 10,000 km/s
This design is classed as a Military Vessel for maintenance purposes
RP required for ship systems is 10634, 300,000 research points were already spent to reach magneto plasma level.
This next design is simply the same ship with 6 times as many systems.
Amon - x6 class Cruiser 66,150 tons 1667 Crew 12339.76 BP TCS 1323 TH 2116.5 EM 0
2133 km/s Armour 4-145 Shields 0-0 Sensors 1/55/0/0 Damage Control Rating 30 PPV 420
Maint Life 2.03 Years MSP 3498 AFR 1166% IFR 16.2% 1YR 1135 5YR 17019 Max Repair 315 MSP
Intended Deployment Time: 6 months Spare Berths 0
Magazine 4884
235.2 EP Magneto-plasma Drive (12) Power 235.2 Fuel Use 58.29% Signature 176.4 Exp 10%
Fuel Capacity 3,000,000 Litres Range 14.0 billion km (75 days at full power)
Size 12 Missile Launcher (50% Reduction) (60) Missile Size 12 Rate of Fire 600
Size 5 Missile Launcher (12) Missile Size 5 Rate of Fire 50
Missile Fire Control FC84-R6 (12) Range 84.9m km Resolution 6
Missile Fire Control FC300-R75 (12) Range 300.1m km Resolution 75
Torpedo (252) Speed: 27,600 km/s End: 52.7m Range: 87.2m km WH: 9 Size: 5 TH: 138/82/41
Delivery Van (302) Speed: 10,800 km/s End: 454.4m Range: 304.5m km WH: 0 Size: 12 TH: 36/21/10
Active Search Sensor MR300-R75 (6) GPS 23625 Range 300.1m km Resolution 75
EM Detection Sensor EM5-55 (6) Sensitivity 55 Detect Sig Strength 1000: 55m km
Missile to hit chances are vs targets moving at 3000 km/s, 5000 km/s and 10,000 km/s
This design is classed as a Military Vessel for maintenance purposes
Ignoring for a second the unneeded redundant systems, you'll notice this ship has 4 armour levels rather than 2, the Standard Amon has 88 armour, to have an equivalent 6 times the total would be 528 armour, which isn't quite reachable, level 4 gives this ship slightly more at 583. the cost is 12339.76 BP vs the others 2057.76 BP, which is 5.996 times the cost, very slightly cheaper. Now again 6 times larger:
Amon - x36 class Cruiser 395,650 tons 9982 Crew 73852.1598 BP TCS 7913 TH 12700.5 EM 0
2140 km/s Armour 7-480 Shields 0-0 Sensors 1/55/0/0 Damage Control Rating 181 PPV 2520
Maint Life 2.04 Years MSP 21116 AFR 6918% IFR 96.1% 1YR 6741 5YR 101117 Max Repair 315 MSP
Intended Deployment Time: 6 months Spare Berths 0
Magazine 29304
235.2 EP Magneto-plasma Drive (72) Power 235.2 Fuel Use 58.29% Signature 176.4 Exp 10%
Fuel Capacity 18,000,000 Litres Range 14.0 billion km (75 days at full power)
Size 12 Missile Launcher (50% Reduction) (360) Missile Size 12 Rate of Fire 600
Size 5 Missile Launcher (72) Missile Size 5 Rate of Fire 50
Missile Fire Control FC84-R6 (72) Range 84.9m km Resolution 6
Missile Fire Control FC300-R75 (72) Range 300.1m km Resolution 75
Torpedo (1512) Speed: 27,600 km/s End: 52.7m Range: 87.2m km WH: 9 Size: 5 TH: 138/82/41
Delivery Van (1812) Speed: 10,800 km/s End: 454.4m Range: 304.5m km WH: 0 Size: 12 TH: 36/21/10
Active Search Sensor MR300-R75 (36) GPS 23625 Range 300.1m km Resolution 75
EM Detection Sensor EM5-55 (36) Sensitivity 55 Detect Sig Strength 1000: 55m km
Missile to hit chances are vs targets moving at 3000 km/s, 5000 km/s and 10,000 km/s
This design is classed as a Military Vessel for maintenance purposes
Again this is almost 6 times as expensive, 5.98 times in fact, and has slightly less than 6 times the total armour, this time with 7 levels. It's obvious theres no clear advantage to the increasingly larger ships, speed, fuel use, armour, cost are almost exactly the same, only when you sacrifice redundancy and prune down the extra sensors or lower the armour, or maybe spend more research points on larger engines, then there's an advantage.
How well do the ships compare in combat though?
Oddly enough if I spawn a shipyard just large enough to construct each ship the construction time is as follows:
Amon: 54 months, Amonx6: 74 months, Amonx36: 78 months.
I just found a bug with shipyard build rate, construction time goes up as total shipyard size goes up, spawning a large shipyard slows down construction of all ships across every shipyard, I'm pretty sure that shouldn't happen.
If this is intended then it's a massive handicap for large ship construction, give me a few minutes to test it.
Edit: After deleting all shipyards and just creating a single yard for each class the build time is now as follows:
Amon: 1 slipway = 38 months, 36 slipways = 47 months.
Amonx6: 1 slipway = 64 months, 6 slipways = 47.5 months.
Amonx36 1 slipway = 68 months
Edit: Once you reach 127,000 naval tons total build rate starts going down across every shipyard.
You lose about 10% build rate for every increase of 127,000 tons of naval, and approxximately 1,270,000 commercial.