I think you could represent this by people producing more unhappiness if you don't have a healthy surplus of the energy resources. After all, people always get by, but you might have to placate them with more circuses and wine if you can't support modern tastes in your empire.
For example, when you are in the atomic era, if you have failed to secure 1 surplus oil for every 10 citizens, then you 10% extra unhappiness from citizens, and if you have failed to secure 1 surplus oil for every 20 citizens, then you get 20% extra unhappiness. This could stack with unhappiness from failure to obtain coal by the previous modern era and from failure to obtain horses by the medieval era, to become a very big problem for an empire without energy.