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The capacitors seem to provide instant power recharge for your turrets, basically just an extension of the turrets own battery charge.  You can't rely on your power generators to get you through a wave, need to have the power stored up ahead of time.

Believe you are talking about one of the early tutorial levels, if I remember right just a matter of connecting the civilian housing to the command center with roads, maybe also getting a farm setup and connected also.

If you look at your power bar on the top of the screen always want to make sure its not red, should be a kinda off white color indicating you have plenty of extra power.  Turrets and capacitors don't charge quickly otherwise.

Also having some capacitors will help.