Calculation of Stored Energy
The magnetic energy stored by a coil carrying a current is given by one half of the inductance of the coil times the square of the current.
Where
- E = energy measured in joules
- L = inductance measured in henries
- I = current measured in amperes
Now let’s consider a cylindrical coil with conductors of a rectangular cross section. The mean radius of coil is R. a and b are width and depth of the conductor. f is called form function which is different for different shapes of coil. ξ (xi) and δ (delta) are two parameters to characterize the dimensions of the coil. We can therefore write the magnetic energy stored in such a cylindrical coil as shown below. This energy is a function of coil dimensions, number of turns and carrying current.
Where
- E = energy measured in joules
- I = current measured in amperes
- f(ξ,δ) = form function, joules per ampere-meter
- N = number of turns of coil
Read more about this topic: Superconducting Magnetic Energy Storage
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