I have a lot of spare Yellorite Ore in my Monster server, so I'm looking for a good design to make an efficent and powerful reactor.
Should I make a reactor with control rods and temperature checks or should I just build it as big as I can?
First, if you are seeking ultimate efficiency, you need to build an actively cooled reactor with turbine(s).
That said, when building passively cooled big reactors. If you are seeking yellorium efficiency, the mod is well named: Bigger is better:
First off, there are a number of ways RF is generated in a Big Reactor, and one of those ways is via the absorption property of the coolant used.
Radiation travels 4 blocks from a fuel rod so, to capture all the available radiation, you need to construct the reactor with 4 blocks of separation between the edge of your reactor core, and the walls.
One of the other ways that RF is generated is captured is via heat flow from the rods, into the reactor casing, and this requires the reactor environment to be cooler than the fuel rods. As it turns out (and quite logically) the generated heat is dissapated into the *volume* of the big reactor, so larger reactors have a cooler environmental heat, making them better at generating RF.
Lastly, in the core of the reactor, you are seeking to maximize fertilization (and minimize the amount of hard radiation). Past 1000 degrees core temp, the hard radiation % exceeds 40%, at which point half, or more, of the radiation is unavailable for fertilization or RF generation: to solve this you place blocks of a moderating material between fuel rods - which has the additional effect of cooling the core and perhaps reducing the amount of moderation required.
If you are building cryotheum cooled reactors, with 9 or less control rods, there is definitely no need to worry about "+" vs "x" type core designs: you can simply pack 9 fuel rods into a 3x3 space.
If you are running a pack with MFR, building and powering a MFR Mining lase with at least 1 yellow filter will make a passively cooled Big Reactor self sustaining.
Capacity planning: Compute how many RF/t you need, and double it. Each fuel rod block in your design will contribute ~500RF/t, so if you wanted 20,000RF/t, then a ~40 fuel rod reactor would be required. a 5 high, 3x3 core (i.e. 9 control rods) would supply this (with external dimensions of 11x7x11).
Lastly, use a MFR programmable rednet controller to control the big reactor: Use the MFR PRC setting that sets the output to the input to link the Big Reactors Energy remaining with its fuel rod moderation input and the reactor will scale its output (and fuel usage) to your energy usage. Big Reactors run more effeciently when moderated, you will achieve energy efficiencies of over 100MRF/ingot building an oversized reactor and running it heavilly moderated.