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There's a few options.
One is RTGs, like GeneralVeers said. You'll need a handsome few, I think.
Another option is to include so many solar panels. All the solar panels. All of them. No, more. Literally all of them. No, you're still thinking too small. I can't describe it better. ALL.
The final option is to download a mod (USI by RoverDude is a good option), and install a nuclear reactor on your station. That may be overkill if all you're running is an MPL. (There may be other/better options available as well. More efficient solar panels are, no doubt, available.)
Yes, if you're willing to set up a mining outpost on one of Jool's moons, or bring an asteroid in, you could mine for ore and refine it into fuel.
That could then be converted into electricity through the fuel cells.
EDIT: Is it? It's been a while since I've played. But mods for 1.3 /should/ run on 1.3.1 as well.
You never need more than a few thousand units of charge and the biggest solar panels give some electricity by Jool.
I had a probe using the ion engine with a few of those small sun tracking panels and battereis out by Jool and it worked for a while before it had to recharge.
http://steamcommunity.com/sharedfiles/filedetails/?id=1277165192
that there is enough electricity to run the ore converters even at jool
P.S.With 50k electric charge in batteries, you can run an ISRU 27 minutes 46 seconds. (50,000/30 = 1667 seconds).
You could also use RTG, but those are very expensive pieces of equipment. And you will need a lot of them. So many they will actually be heavier than fuel cells and cost like half a million for the same simple job.
Land your mining ship on Vall or Laythe (with airbreathing engines and "plane" in that case). Pol or Bop should be fine too.
A lab requires 5 e/s. The most demanding probe core using 0.08 e/s (4.8 e/minute * 1 minute / 60 seconds). Lights, reaction wheels, and other systems can draw power too, so let's round this up to 6 e/s to power our station.
We'd need 7 Gigantor XL Solar Arrays to power our craft around Jool--if we got them lined up just right.
An additional consideration is that a spacecraft in orbit around a world doesn't get sun 100% of the time.
This power is steady, but expensive. At 23,000 funds each, 8 RTGs runs 186,400 funds.
A fuel cell uses 0.00375 units (0.1875 kg) of fuel per second to generate 1.8 e/s. We'll need 4 to fully power our lab running at 83.3%.
A fuel cell array uses 0.045 units (0.225 kg) of fuel per second to generate 18 e/s. We'll need just 1 to fully power our lab, running at 33.3%
So for every 1 ton of fuel...
Fuel cells will produce 9,600 electricity, or enough to power our lab for 26 minutes 40 seconds.
Fuel cell arrays will produce 80,000* electricity, or enough to power our lab for about 3 hours 42 minutes--clearly the better option.
(* Whoops. I got the wrong answer to that earlier. But it's still better than the individual fuel cells.)
We'll need to ship 0.075** kg of fuel per second to our orbital base--0.225 kg/second * 33.3% capacity.
(** Whoops again. Editted in the correct value.)
A more efficient operation would cut out the middle-man. If your lab is part of your mining base, we don't need to waste time, attention, and rocket fuel moving fuel or ore to your lab.
I lost myself in a math haze for a bit while writing this post, working out exactly how many drills a lab + mining operation would require assuming the biggest and best ISRU and drills were used. And did some testing to verify some of my numbers.