An application of forward difference of higher fractional-order in dynamic system modelling
1
Citation
20
Reference
10
Related Paper
Citation Trend
Abstract:
In the paper linear time-invariant difference equations are applied to model dynamic systems. The forward difference with higher fractional-order is used. Admitting fractional-orders of systems, we gather a better modelling of the inductive and capacitive couplings in the electrical circuit. The investigations are illustrated by numerical examples with real simple electrical circuit and electrical circuit with DC micromotor and supercapacitors modelling.Keywords:
Electrical network
LTI system theory
Capacitive grating sensor can be used to measure the length, as its capacitance changes with the shift difference. There are several measuring systems consisting of capacitive sensor, but all their basic principles are capacitive differential sensing. The structure, principles and characteristics of capacitive sensors are introduced in this paper. Especially, we designed a high-resolution electronic length measuring system based on Capacitive Grating Sensor. And the measurement error of the system and the reason are analysed. For this system, the measuring range is from 0 to 500mm, the resolution is 1um, the indication error is 5um, the measuring speed is 1m/s. Accurate measurement on account of large displacement is achieved with the system.
Cite
Citations (0)
The aim of the study is to develop a methodology using tree structures when analyzing a linear electrical circuit with a single source.The relationship between parameters of elements and parameters of equivalent elements and their corresponding electrical magnitude is used, current and voltage, with a specified source influence by analysis of the electric circuit with a tree description of the equivalent transformations.The following results were obtained:- Equivalent tree structure of the electrical circuit for determining the equivalent resistance (in the rights direction), and for determining the magnitudes (in the opposite direction).- An algorithm for determining equivalent resistance, as well as an algorithm for determining the magnitudes based on equivalent transformations.The work contributes with:A methodology for analyzing a linear electrical circuit with a single source based on a tree structure is proposed.Training of students in the area of theoretical electrical engineering to use analysis of DC circuit according to a proposed algorithm for application of tree structures, including an equivalent tree scheme and demo calculations is suggested.
Electrical network
Tree (set theory)
Electrical element
Cite
Citations (0)
Abstract The paper reviews recent research and applications of both laboratory prototypes and commercially fabricated capacitance gauges of mechanical strain. Basic operational principles as well as advantageous points of each type of sensors are considered. The prospective areas of applications of the capacitive gauges are briefly considered. The properties of other strain gauges are briefly discussed and compared with those of the capacitive sensors.
Strain gauge
Strain (injury)
Cite
Citations (0)
Electrical element
Electrical network
Functional electrical stimulation
Cite
Citations (3)
Capacitive sensors are commonly employed for linear displacement measurement in many applications for micro and nano scale manipulation. However, the introduction of angular motion causes the capacitance to change non-linearly, resulting in erroneous measurements. With capacitive sensors being ubiquitous in the implementation of micro/nano positioners, and with an increasing number of mechanism designs providing angular motion, it is desirable to adapt these sensors for this purpose. This paper presents the development of a model of a multi degree of freedom capacitance sensing and measurement system. An algorithm is proposed to invert this functional model, allowing for the estimation of mechanism pose given capacitance measurements.
Linear motion
Cite
Citations (1)
In this paper, a novel equivalent circuit of DC motors, which encompasses both electrical and mechanical parts, is presented. This equivalent circuit, which is more compact than the previously reported and requires only passive elements, allows for simulations of circuits containing DC motors to be carried out using SPICE program. Simulation and experimental results are shown to be in good agreement with theoretical calculation. The concept of this new equivalent circuit contributes to the understanding of DC motor operation using basic electrical circuit analysis.
Spice
Electrical network
Electrical element
Network Analysis
Cite
Citations (1)
Physical equivalent electrical circuits facilitate root-cause analysis of resonance phenomena in electromagnetic components. We extend an existing formalism for the generation of physical equivalent circuits by linking the resonant behaviour of the equivalent circuit with 3D electromagnetic eigenmodes of the component. We define a figure of merit, which we call quality, describing the frequency range of validity and the accuracy of equivalent circuit descriptions of 3D components. We validate our approach by analyzing practical examples.
Electrical network
Formalism (music)
Network Analysis
Electronic component
RLC circuit
Figure of Merit
Electrical element
Cite
Citations (10)
Capacitive sensors include various types of capacitors and have been widely used as sensing elements. When the physical quantity or mechanical quantity is measured or sensed, the capacitance of capacitors with various parameters will be changed accordingly. In order to have a unified treatment method for the data of the capacitive sensors, this paper proposes a hierarchical processing algorithm for the frequency parameters of the capacitive sensors, which can be applied to any capacitive sensors that meet the premise. The results not only have a reference significance in some control systems, but also are useful in the design of capacitive sensors. With the algorithm, the flexibility and accuracy of designing the capacitive sensors in circuits can be greatly improved as demonstrated in a real application.
Cite
Citations (0)
Electrical element
Electrical network
Functional electrical stimulation
Cite
Citations (0)
Now the basic structures of capacitive sensors always use cylindrical fixed electrodes and the measurement for different diameter hole requires different specifications of sensor probe. For the shortfall of the measurement method for hole profile with capacitive sensor, this paper introduces the principle of capacitive sensor for micro/mini hole measurement and the capacitance-based device used in different diameter micro/mini holes' profile measurement through the structural improvements of the capacitive sensor probe, then simulation and error analysis are conducted. The simulation results indicate the error is less than 5%, and it verifies the feasibility of the profile measurement principle for different diameter hole with capacitance sensor.
Cite
Citations (0)