Officially termed 'potential difference', it is the reason that the charged particles move through a circuit.
We can think about voltage as an electrical push from the battery. It gets the charges moving in the circuit. It is defined as the amount of energy transferred to each of the charges.
In the video the escalator represents the battery by providing the charges with energy to 'push' them around the circuit. The escalator model is able to show well the difference between voltage and current. The movement of black charges is the current moving around the circuit.
The escalator is the voltage provided from the battery. The charges also transfer the energy they have in the paddle wheel. This energy is equal to the energy in so voltage in to the circuit is the same as the voltage out.