Design and Performance Study of Dynamic Fractors in Any of the Four Quadrants

Adhikary, Avishek; Sen, Parimal C.; Sen, Sabyasachi; Biswas, Karabi

doi:10.1007/s00034-015-0213-3

Cited by 73 publications

(23 citation statements)

References 36 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Fractional calculus can provide simpler and more faithful models of physical systems that depend upon diffusion or that possess fractal properties. Such a model tends to provide ''more entropy compared to its integer order counterpart with same number of parameters'' [24], which is to say that it requires fewer parameters.…”

Section: Introduction To Fractional Calculusmentioning

confidence: 99%

Extending Randles’s Battery Model to Predict Impedance, Charge–Voltage, and Runtime Characteristics

Hasan

Scott

2020

IEEE Access

View full text Add to dashboard Cite

The impedance of a battery can be modelled with an elegant fractional-capacitor or ''constant phase element'' (CPE) equivalent circuit and a series resistor. In this manuscript, we present new evidence that suggests that a linear model similar to Randles' comprised solely of this impedance network is able to predict both the charge-voltage relationship epitomised by the familiar hysteresis curve of voltage as a function of charge as a battery charges and discharges through its linear region, and the recovery or ''equilibration'' transient that results from a step change in load current. The proposed model is unique in that it does not contain a source, either voltage or current, nor any purely reactive elements. There are important potential advantages of a passive battery model. INDEX TERMS Rechargeable battery, lithium-ion battery, state of charge, fractional modelling.

show abstract

Section: Introduction To Fractional Calculusmentioning

confidence: 99%

Extending Randles’s Battery Model to Predict Impedance, Charge–Voltage, and Runtime Characteristics

Hasan

Scott

2020

IEEE Access

View full text Add to dashboard Cite

show abstract

“…The optimization function used is the rms error of phase angle in the desired band of frequencies and the algorithm tries to find the poles and zeros such that the phase error is less than 1 • . If one uses ladder fractor, then the phase deviation that is obtained will be greater than 1 • for 12 resistor and 12 capacitor combination [35].…”

Section: Type a And Type B Pi λ D µ Controllersmentioning

confidence: 99%

“…From the above, it can be seen that the majority of the works done on a DC motor uses discrete type fractional controllers and for analog implementation of PI λ D µ controller, one needs op-amp/other active elements and fractional order elements. The fractional order elements can be implemented either by a multicomponent method (e.g., ladder circuits [35]) or single component fractional capacitors (like the fractional capacitor reported in [36]). The major issue is that the single component fractional capacitors (which reduces the circuit complexity) are not yet commercialized.…”

Section: Introductionmentioning

confidence: 99%

Hardware Implementation and Performance Study of Analog PIλDμ Controllers on DC Motor

2020

Self Cite

View full text Add to dashboard Cite

In this paper, the performance of an analog PI λ D μ controller is done for speed regulation of a DC motor. The circuits for the fractional integrator and differentiator of PI λ D μ controller are designed by optimal pole-zero interlacing algorithm. The performance of the controller is compared with another PI λ D μ controller—in which the fractional integrator circuit employs a solid-state fractional capacitor. It can be verified from the results that using PI λ D μ controllers, the speed response of the DC motor has improved with reduction in settling time ( T s ), steady state error (SS error) and % overshoot (% M p ).

show abstract

“…In fact, in addition to integer-order components, there are also fractional-order components that are described by fractional-order calculus, such as fractionalorder capacitors [14], [15]. The fractional-order components are not yet standard market-oriented components, but various fractional-order capacitors and fractional-order inductors have been manufactured in the laboratory [16]- [18], paving the way for the application of fractional-order components.…”

Section: Introductionmentioning

confidence: 99%

A Fractional-Order Resonant Wireless Power Transfer System With Inherently Constant Current Output

2020

View full text Add to dashboard Cite

Wireless power transfer (WPT) using magnetic-coupling resonant has been proved to be a promising transmission method. At present, most of the existing resonant WPT systems adopt integer-order inductors and capacitors. In fact, in addition to integer-order components, there also exists fractional-order inductors and capacitors, which possess richer characteristics than integral-order inductors and capacitors. However, there are few studies on the application of fractional-order components in resonant WPT system. Therefore, this paper proposes a fractional-order resonant WPT system, which is based on a fractionalorder resonant circuit only incorporating a fractional-order capacitor. The coupled-mode theory model of the proposed WPT system is established, and the impact of different loads and orders on transfer characteristics is explored. The theoretical analysis demonstrates that the proposed system can achieve constant current output that is independent of load, just by choosing appropriate parameters of the fractional-order capacitor. Finally, an experimental prototype of the fractional-order resonant WPT system is built, and the experiment results verify the correctness of the theoretical analysis.

show abstract

Design and Performance Study of Dynamic Fractors in Any of the Four Quadrants

Cited by 73 publications

References 36 publications

Extending Randles’s Battery Model to Predict Impedance, Charge–Voltage, and Runtime Characteristics

Extending Randles’s Battery Model to Predict Impedance, Charge–Voltage, and Runtime Characteristics

Hardware Implementation and Performance Study of Analog PIλDμ Controllers on DC Motor

A Fractional-Order Resonant Wireless Power Transfer System With Inherently Constant Current Output

Contact Info

Product

Resources

About