An Electric Spring without Non-critical Load Based on Fractional-order Components

2022 ◽  
pp. 1-1
Author(s):  
Mingbin Ke ◽  
Dongyuan Qiu ◽  
Bo Zhang ◽  
Yanfeng Chen
Keyword(s):  
Critical Load ◽  
Fractional Order ◽  
Order Components

scholarly journals Comparisons of Modeling Methods for Fractional-Order Cuk Converter

Electronics ◽  
2021 ◽  
Vol 10 (6) ◽  
pp. 710
Author(s):  
Xiaogang Wang ◽  
Bingwen Qiu ◽  
Hongdong Wang
Keyword(s):  
Fractional Order ◽  
Transfer Functions ◽  
Current Mode ◽  
Circuit Model ◽  
Parameter Method ◽  
Cuk Converter ◽  
Modeling Methods ◽  
Continuous Current ◽  
Order Components ◽  
Continuous Current Mode

In this paper, several modeling methods for the continuous current mode (CCM) fractional-order Cuk converter are investigated. First, the state space averaging method is used to establish the model. Based on this model, the expressions of inductors’ current and capacitor voltage as well as the transfer functions are derived. Then, the equivalent small parameter method (ESPM) is employed to model the converter. Based on the Oustaloup filter principle, the approximate models of fractional-order capacitor and inductors are constructed, which consist of integer-order components, to build the circuit model (CM) of the converter. In addition, the numerical model (NM) of the converter is established. Simulation results are provided to compare the modeling methods, which show that the ESPM has some advantages over the other methods. Finally, the hardware-in-the-loop experiment is conducted to verify the effectiveness of the circuit model.

Radiation and Impedance Characteristics of a Circular Loop Antenna Driven by Fractional Order Electronics

2013 ◽  
Author(s):  
Calvin Coopmans ◽  
Hadi Malek ◽  
Edmund Spencer
Keyword(s):  
Fractional Order ◽  
Input Impedance ◽  
Degrees Of Freedom ◽  
Impedance Matching ◽  
Loop Antenna ◽  
Antenna Gain ◽  
Circular Loop ◽  
Capacitive Element ◽  
Impedance Characteristics ◽  
Order Components

Fractional calculus techniques (non-integer order systems) have been successfully applied in many fields of electronics and engineering. In this paper the effects of including fractional order electronic components on the radiated antenna pattern of a circular loop antenna is presented. A fractional order “RLC” impedance matching circuit is placed between the generator and the equivalent circuit of a loop antenna. The input impedance of the antenna and the antenna gain are controllable through varying the fractional orders of an inductive element and a capacitive element (Fractors) in the matching network. The circuit is presented and solved analytically, and some numerical simulations follow. We discuss the effects of fractional order components on the resulting radiation patterns. In particular, the amplitude of the antenna gain is controlled by the fractional order parameters. This effect could be exploited in future for antenna beam-forming applications when using an array of antenna elements. Further, the input impedance of the antenna circuit can also be controlled by the fractional order components. The introduction of fractional order variables provides for higher degrees of freedom, enabling a flexible approach to tuning antennas for optimal performance.

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