Publication

Abstract : Fractional-order electrical circuits are a fascinating and innovative field of study that has gained considerable attention recently. Instead of traditional integer-order derivatives, these circuits use fractional-order derivatives, which offer several advantages, including increased accuracy, improved control, and better efficiency. Fractional-order derivatives provide a more accurate and precise approach to modelling complex systems, making maintaining stable and consistent control easier. Moreover, these circuits are more efficient than traditional integer-order circuits, requiring fewer components and less power to operate, making them more cost-effective and environmentally friendly. An equivalent circuit of fractional-order inductors and capacitors has been proposed in this paper using a curve-fitting-based approximation technique to teach and learn fractional-order circuits. This approach helps implement various fractional-order circuits, including series/parallel RL, RC, and RLC circuits, to create systems with different configurations and specifications. This approach will help undergraduate and graduate students extend their education to research in this emerging field of fractional-order electrical circuits. In the future, fractional-order electrical circuits have the potential to revolutionize our approach to complex systems.