On the effect of finite closure time of switches in electrical circuits with fast transient behavior

1989 ◽  
Vol 57 (1) ◽  
pp. 63-66 ◽  
Author(s):  
H. Bruzzone ◽  
H. Kelly ◽  
C. Moreno
Keyword(s):  
Transient Behavior ◽  
Electrical Circuits ◽  
Closure Time ◽  
Fast Transient

Realizations for Determining the Energy Stored in Fractional-Order Operators

2015 ◽  
Author(s):  
Tom T. Hartley ◽  
Carl F. Lorenzo
Keyword(s):  
Energy Storage ◽  
Fractional Order ◽  
Transient Behavior ◽  
Fractional Order Systems ◽  
State Variables ◽  
Electrical Circuits ◽  
Infinite Dimensional

The purpose of this paper is to determine physical electrical circuits, in both impedance and admittance forms, that match fractional-order integrators and differentiators, namely 1/sq and sq. Then, using these idealized infinite-dimensional circuits, the energy storage and loss expressions for them are determined, carefully relating the associated infinite-dimensional state variables to physically meaningful quantities. The resulting realizations and energy expressions allow a variety of implementations for understanding the transient behavior of fractional-order systems.

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