A Multistable Generalized Meminductor with Coexisting Stable Pinched Hysteresis Loops

2020 ◽  
Vol 30 (02) ◽  
pp. 2050023
Author(s):  
Fang Yuan ◽  
Yue Deng ◽  
Yuxia Li
Keyword(s):  
Mathematical Model ◽  
Theoretical Analysis ◽  
Hysteresis Loops ◽  
The Mathematical Model ◽  
Pinched Hysteresis

A multistable local active meminductor emulator is proposed in this paper. The mathematical model of the emulator circuits is established. Different periodic stimuli are applied to the presented emulators and coexisting stable pinched hysteresis loops are obtained. The results obtained by experimental equips are consistent with the theoretical analysis, which indicates that the proposed emulators can work as a meminductor.

scholarly journals A Novel Floating Memristor Emulator with Minimal Components

2017 ◽  
Vol 2017 ◽  
pp. 1-12 ◽  
Author(s):  
Zhijun Li ◽  
Yicheng Zeng ◽  
Minglin Ma
Keyword(s):  
Mathematical Model ◽  
Hysteresis Loops ◽  
Experimental Tests ◽  
Operational Amplifiers ◽  
Current Feedback ◽  
Analog Multipliers ◽  
Current Feedback Operational Amplifiers ◽  
Memristor Emulator ◽  
The Mathematical Model ◽  
Pinched Hysteresis

A new floating emulator for the flux-controlled memristor is introduced in this paper. The proposed emulator circuit is very simple and consists of only two current feedback operational amplifiers (CFOAs), two analog multipliers, three resistors, and two capacitors. The emulator can be configured as an incremental or decremental type memristor by using an additional switch. The mathematical model of the emulator is derived to characterize its behavior. The hysteresis behavior of the emulator is discussed in detail, showing that the pinched hysteresis loops in v-i plane depend not only on the amplitude-to-frequency ratio of the exciting signal but also on the time constant of the emulator circuit itself. Experimental tests are provided to validate the emulator’s workability.

Generalized Memristor Consisting of Diode Bridge with First Order Parallel RC Filter

2014 ◽  
Vol 24 (11) ◽  
pp. 1450143 ◽  
Author(s):  
Bocheng Bao ◽  
Jingjing Yu ◽  
Fengwei Hu ◽  
Zhong Liu
Keyword(s):  
Mathematical Model ◽  
Hysteresis Loops ◽  
Experimental Measurements ◽  
First Order ◽  
The Mathematical Model ◽  
Pinched Hysteresis ◽  
Order Parallel

A generalized memristor consisting of a memristive diode bridge with a first order parallel RC filter is proposed in this letter. The mathematical model of the circuit is established and its fingerprints are analyzed by the pinched hysteresis loops with different periodic stimuli. The results verified by experimental measurements indicate that the proposed circuit is a simple voltage-controlled generalized memristor.

Attenuation of pulsations in the reciprocating compressor piping system with an elbow-shaped surge tank

2018 ◽  
Vol 233 (5) ◽  
pp. 1677-1689
Author(s):  
Quyang Ma ◽  
Guoan Yang ◽  
Mengjun Li
Keyword(s):  
Mathematical Model ◽  
Theoretical Analysis ◽  
Frequency Analysis ◽  
Transfer Matrix Method ◽  
Piping System ◽  
Pulsation Frequency ◽  
Reciprocating Compressor ◽  
Pressure Pulsations ◽  
Surge Tank ◽  
The Mathematical Model

An elbow-shaped surge tank is proposed to suppress the pressure pulsations. The transfer matrix method was developed and the mathematical model was established to predict the distribution of pressure pulsations in the piping system (on which a surge tank was already installed) with an elbow-shaped surge tank. Simulation work of the whole piping system was performed. The results show that the elbow-shaped surge tank has good performance to attenuate the pressure pulsations. The frequency analysis shows that the amplitude for the first pulsation frequency is attenuated to a low level. The impulse response was analyzed to examine the efficiency of suppressing pulsations by using the suppressor. The theoretical analysis showed that there exists the optimal suppression performance when setting the distance between the elbow-shaped surge tank and the existing one. Meanwhile, modifying the ratio of length to diameter with a fixed surge volume could also impact the pressure pulsations. The analysis results can be used as a reference in designing and installing the elbow-shaped surge tank.

A Model for Drilled Cooling in the Valve Bridge of Cylinder Head

2011 ◽  
Vol 52-54 ◽  
pp. 338-342
Author(s):  
Xiao Liu ◽  
Wei Zheng Zhang ◽  
Chang Hu Xiang
Keyword(s):  
Heat Transfer ◽  
Mathematical Model ◽  
Heat Transfer Coefficient ◽  
Diesel Engine ◽  
Theoretical Analysis ◽  
Transfer Coefficient ◽  
Cylinder Head ◽  
3D Model ◽  
Numerical Study ◽  
The Mathematical Model

To evaluate the efficiency of drilled cooling in the valve bridge of cylinder head, theoretical analysis for the drilled cooling is carried out, and a mathematical model for the enhanced cooling is presented based on a simplified 3D model. The mathematical model is validated by numerical study on the heat transfer with and without drilled cooling, which is carried out through fluid-solid coupling. The correlation between the velocity in the drilled passage and heat transfer coefficient was also analyzed. The results can be used to solve the heat transfer in enhanced diesel engine.

scholarly journals Research on the Influence of Switching Frequency on Low-Frequency Oscillation in the Voltage-Controlled Buck-Boost Converter

2011 ◽  
Vol 2011 ◽  
pp. 1-15 ◽  
Author(s):  
Faqiang Wang ◽  
Xikui Ma
Keyword(s):  
Mathematical Model ◽  
Theoretical Analysis ◽  
Low Frequency ◽  
Boost Converter ◽  
Switching Frequency ◽  
Frequency Oscillation ◽  
Low Frequency Oscillation ◽  
Matlab Simulink ◽  
Averaged Model ◽  
The Mathematical Model

The influence of switching frequency on the low-frequency oscillation in the voltage-controlled buck-boost converter is studied in this paper. Firstly, the mathematical model of this system is derived. And then, a glimpse at the influence of switching frequency on the low-frequency oscillation in this system by MATLAB/Simulink is given. The improved averaged model of the system is established, and the corresponding theoretical analysis is presented. It is found that the switching frequency has an important influence on the low-frequency oscillation in the system, that is, the low-frequency oscillation is easy to occur when the switching frequency is low. Finally, the effectiveness of the improved averaged model and the theoretical analysis are confirmed by circuit experiment.

Theoretical Study on the Wetting Length in Triangle Wetting Region of Rectangular Microgrooves

2011 ◽  
Author(s):  
Tao Wang ◽  
Xuegong Hu ◽  
Chaohong Guo ◽  
Xuelei Nie ◽  
Ningning Xie
Keyword(s):  
Mathematical Model ◽  
Heat Flux ◽  
Theoretical Analysis ◽  
Tilt Angle ◽  
Heat Sink ◽  
Theoretical Study ◽  
Geometric Dimension ◽  
The Mathematical Model ◽  
The Relationship ◽  
Working Liquid

The mathematical model is established in this article to describe the relationship between the wetting length of working liquid in the triangular wetting region of rectangular capillary microgrooves and the geometric dimension, tilt angle, type of working liquid and heat flux when heating the back of microgrooves heat sink. The model supposes that the vapour-liquid interface of meniscus is quadratic parabola but not arc. The predictions from the theoretical analysis are successfully compared with the experimental results.

A New Mathematical Model to Calculate DC Transmission System’s Operating Parameters

2012 ◽  
Vol 614-615 ◽  
pp. 988-995
Author(s):  
Rong Yan Shang ◽  
Yin Chen ◽  
Chang Qing Peng
Keyword(s):  
Mathematical Model ◽  
Theoretical Analysis ◽  
Decomposition Method ◽  
Theoretical Calculations ◽  
Transmission System ◽  
Operating Parameters ◽  
Fourier Decomposition ◽  
Calculation Results ◽  
And Control ◽  
The Mathematical Model

To study the DC transmission system, and control it in real-time, many researchers make models based on the Fourier decomposition method. However, their calculations are not very precise. In this paper, a new mathematical model for the DC transmission system was build, by use of the Fourier formulas to decompose the current on the converter transformer’s valve side. Formulas for the operating parameters of both rectifier station and inverter station were derived, and the effects of the harmonics were considered. Results from theoretical calculations and experimental collection show that waveforms of the operating parameters are very similar. Even the experimental waveforms change a little, the calculation results can reflect the change clearly, which fully prove that the theoretical analysis is correct and the mathematical model is accurate.

scholarly journals Mechanics of Design and Model Development of CVC-Plus Roll Curve

2011 ◽  
Vol 418-420 ◽  
pp. 1158-1166
Author(s):  
Jian Zhong Xu ◽  
Dian Yao Gong ◽  
Zheng Yi Jiang ◽  
Xiang Hua Liu ◽  
Guo Dong Wang
Keyword(s):  
Mathematical Model ◽  
Theoretical Analysis ◽  
Axial Force ◽  
Model Development ◽  
Target Function ◽  
Mathematic Model ◽  
Work Roll ◽  
The Times ◽  
The Mathematical Model ◽  
The Relationship

The mathematic model of CVC-Plus work roll curve is built. The ratio of the initial shifting value to the target crown is determined, and the mathematical model considering the relationship between the coefficients A2, A3, A4, A5 and is established. According to the theoretical analysis, the distance between the maximum or minimum point of the high order equivalent crown for work roll with CVC-plus roll curve and the rolling central point is the times of the roll barrel length. In general, the initial shifting value of the CVC-plus roll curve is not equal to the initial shifting value of the 3-order CVC roll curve . The coefficient A1 can also be obtained by optimizing the target function with minimizing the axial force.

Theoretical Analysis of Experimentally Observed Perplexing Calibration Characteristics of Ball-in-Vortex Flow-Meter

2005 ◽  
Vol 127 (5) ◽  
pp. 1021-1028
Author(s):  
S. P. Mahulikar ◽  
S. K. Sane
Keyword(s):  
Mathematical Model ◽  
Theoretical Analysis ◽  
Frictional Force ◽  
Flow Measurement ◽  
Vortex Flow ◽  
Sharp Change ◽  
Mathematical Form ◽  
Flow Meter ◽  
Rotating Sphere ◽  
The Mathematical Model

This investigation analyzes the calibration nonlinearity of the ball-in-vortex flow-meter, designed to work on the principle of a rotating sphere in and due to a vortex flow. The comparison of this flow-meter reading with the standard flow-meter indicates the existence of different calibration regimes, bifurcated by a sharp change in slope of the calibration curve. Based on the governing mechanics of this flow-meter, this paper explains this nonlinearity, and proposes its mathematical form. In particular, the bifurcation in calibration characteristics is attributed to the change in the surface contact frictional force, due to translation of the ball. The mathematical model captures the various calibration regimes associated with this translation, from one plane of rotation in the flow-meter to another, or from one periphery to another. Thus, calibration nonlinearity of this flow-meter can be fully comprehended through its governing mechanics, and harnessed for flow measurement.

Sign in / Sign up

Export Citation Format

Share Document