Fair enough, perhaps I shouldn't try to separate the process from the mechanism. Admittedly, that could suggest that the process could be independant of the mechanism.
Let me have a go if I may:
It's like an engine. An engine uses mechanisms and components to convert the potential energy stored in fuel (the fuel mixed with air, etc being other components added to the system) into something we find useful. You could call an operating engine the effect of the system.
So the engine = brain / system
effect = consciousness, self, free-will, understanding, illusion, delusion, concept, truth, critical thinking ability, processing, planning, etc
mechanisms = synaptic transfers, electrical system, etc
fuel = glucose delivered by the bloodstream, etc
I think when most people think of "energy of the brain" they are thinking about the electrical aspect, and they think, "omg, my consciousness is in that electricity." But that electricity is possible only because it is part of the potential residing in the system and needs FUEL in order to function. That electricity is part of the effect of the system being "turned on" as well. Take away the fuel, and the brain is a goner. It doesn't continue to "create energy" or anything. It needs it to convert in order to function, and this includes the electrical impulses as well (in the myocardium, this is generally regulated by a sodium-potassium pump effect where the ions of each are exchanged during polarization and depolarization. I'm not sure if those same electrolytes are responsible for the brains impulses or not however, neuroscience isn't my thing

). And it needs a constant supply of glucose because neurons do not store glucose.
If you really wanted to say that the "self was energy", then looking inward is the wrong place. You should look outward, because that is where the energy comes from. And that energy is stored in the foods we eat, the oxygen we breathe, and the liquids we drink, etc and so forth.
So you could just as easily say that your "self" is on a plate of cookies. Because it is the energy in that plate of cookies your brain uses as a fuel and converts in order to produce the multiple effects your brain actually does when it's up and running.