This is actually fairly simple math guys. Assuming you don't have enough money to keep up both nanos and solars all the time. Running solars consistently if much more advantageous than nanos under most assumptions.
Let's go with an average kingdom in a normal round. Umm, how about fw since it has no power bonus. To run shields might need 10% nuclear pp. So this round we'll say you need 5% (more if you want to shield your probes like you really probably should). This is with solars. Without solars we would have (5%*(1+0.5 (solars) +0.5 (power res))/(1+0.5( power res))=5%*1.33=6.7% pp that you need without solars. Normal looking SoB maybe 20% resi, 22% barracks 26.3% SM, 6.7% npp 10% TC and 15% pf. Here we have 46.3% of our land in income buildings. So Nanos is worth 10% extra income or 0.1*46.3=4.63% of our land. 0.35*sector nw per 24 hours. This is 4.63/0.35 or 13.2% land per nw in cost
Solars: Difference here is 1.7% land for income buildings. Cost is 0.125* sector nw per 24 hours. This is 1.7/0.125=13.6% land per nw in cost. A bit more effective than nanos.
In this example solars are more cost effective. Now this round it is well worth-while to shield your probes until you get probe armor so in reality you should probably want more than 5% power plants to do so.
Just like the additive bonuses. Since when should a planet type bonus that says you get an extra 25% income for mount only give a kingdom 18.5% more income from star mines and residences?
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Get WarpGate!
Let's go with an average kingdom in a normal round. Umm, how about fw since it has no power bonus. To run shields might need 10% nuclear pp. So this round we'll say you need 5% (more if you want to shield your probes like you really probably should). This is with solars. Without solars we would have (5%*(1+0.5 (solars) +0.5 (power res))/(1+0.5( power res))=5%*1.33=6.7% pp that you need without solars.
Normal looking SoB maybe 20% resi, 22% barracks 26.3% SM, 6.7% npp 10% TC and 15% pf. Here we have 46.3% of our land in income buildings. So Nanos is worth 10% extra income or 0.1*46.3=4.63% of our land. 0.35*sector nw per 24 hours. This is 4.63/0.35 or 13.2% land per nw in cost
Solars: Difference here is 1.7% land for income buildings. Cost is 0.125* sector nw per 24 hours. This is 1.7/0.125=13.6% land per nw in cost. A bit more effective than nanos.
In this example solars are more cost effective. Now this round it is well worth-while to shield your probes until you get probe armor so in reality you should probably want more than 5% power plants to do so.
Nanos > WarpGate > Solars