E = ½ I ω2where I is the moment of inertia of the rotating body and ω is the angular velocity, usually expressed in radians per second. If the rotating body is a solid cylinder, the moment of inertia is given as
I = ½ m r2where m is the rotor mass, and r is its radius. These equations reveal that you can store a lot of energy in a flywheel if it's large and spins very fast. If you want to do this, you need to keep several things in mind:
• To prevent the flywheel from losing energy by heating the air around it, it needs to operate in a vacuum.Because of its manifold advantages, the alternating current electrical power distribution system of George Westinghouse won the War of Currents against Thomas Edison's direct current. The biggest advantage of alternating current is that transformers can be used to convert low current, high voltages to higher current, low voltage. This is important when conducting electrical power over long distances, since there is less loss in low current lines. Power loss in a wire of resistance R is I2R, where I is the current.
• Since the flywheel material will be under considerable tensile stress, it should be fabricated from a high strength material, preferably one that is not prone to fracture.
• Since flywheels spin up, then down, repeatedly, there the possibility of material fatigue that will lead to fracture, so flywheels should be enclosed in a protective shroud to contain flying schrapnel.
A typical US residential power distribution transformer mounted on a utility pole. This transformer sits on a pole at the left of my house as a reminder that we live in a culture that's evolved technically, but not aesthetically. Photo by author (Via Wikimedia Commons) |
Performance of a four-section Midwestern wind plant over a two day interval. Wind speed is also shown. From an Oak Ridge National Laboratory Report.[2] |