Figure 4: Magnitude response of approximated fractional capacitor with different orders.
The phase response for the designed FOC of value F=10n has been shown in Figure 5. It shows that with the change in order ‘α’, the phase response curve changes even though the magnitude of the designed fractance remains the same. Large ripple value has been obtained for the fractional order α=0.3 over the entire frequency spectrum. The R and C values generated for order, α=0.3 doesn’t generate a constant phase zone over the designed range for magnitude 10n, as depicted in Figure 5. As can be seen a lot of ripples are obtained in the frequency spectrum ranging from 100MHz to 100GHz. This is the reason that the simulated FOC of order α=0.3 has not been used in the design and analysis of CO in this work.
Table I: Fractional order RC ladder component values with same Fractance F=10n