Study on Energy Efficient Flywheel Design

Flywheel is used where the input power is fluctuated in order to store the energy and deliver the energy when it is required. In present investigation a mathematical analysis has been carried out to optimize Total Storage Energy (TSE) per unit mass. Material is taken same in all the flywheels because the Total Energy Storage (TES) ratio has been calculated which is independent of density that is property of material. The material mass also is taken as constant of all flywheels. Through this a mathematical study is done. Finally through taking all minimum assumptions objective function is derived in terms of slope of varying width of flywheel. It has been found that higher the value of n lesser the scope of increment of TSE by observation of graph between objective function and n (slope of variation of width). One more observation is seen that with increment on slope of width variation the inner width of flywheel reduced. That is also a critical parameter to design because with stress will increase highly at minimum cross – section. It is found that as the slope of variation of width in flywheel increased then rate of increment of Total Storage Energy (TSE) is decreased.