Harmonic Coil Magnetic Measurement System for HESR Magnets − a Mathematical Model and Design

2021 ◽  
Vol 69 (1) ◽  
pp. 59-65
Author(s):  
Ionel CHIRIȚĂ ◽  
Nicolae TĂNASE ◽  
Cristinel ILIE ◽  
Marius POPA
Keyword(s):  
Mathematical Model ◽  
Measurement System ◽  
Measurement Method ◽  
Magnetic Measurements ◽  
Magnetic Measurement ◽  
Current Method ◽  
Hall Probe ◽  
Set Up ◽  
The One ◽  
The Mathematical Model

This paper presents the constructive design of the Sextupole, Horizontal Steerer and Vertical Steerer electromagnets manufactured by ICPE-CA for HESR storage ring from FAIR Project which will be set-up in Darmstadt Germany. Also, in this paper is presented the current method and system with Hall probe the one that we have performed the magnetic measurements so far by now. Regarding that this method takes a lot of time to perform the magnetic measurements, meanwhile we have developed a system with harmonic coils, which we intend to use in the further magnetic measurements. Also, in this paper is presented the method of magnetic measurements with harmonic coil also the development of mathematical model for this measurement method. To validate the mathematical model of magnetic measurements using harmonic coils we have made a simulation and we have compared with the measurements performed with Hall probe on the Sextupole electromagnet.

The Model Simulation Analysis of Electro-Rheological Fluid Engine Mounting System

2013 ◽  
Vol 694-697 ◽  
pp. 338-343 ◽  
Author(s):  
Bo Jiang ◽  
Wen Ku Shi
Keyword(s):  
Mathematical Model ◽  
Electric Field ◽  
Vibration Isolation ◽  
Simulation Analysis ◽  
Model Simulation ◽  
Simulation Results ◽  
Set Up ◽  
The One ◽  
The Mathematical Model ◽  
Better Than

The mathematical model of the electro-rheological fluid engine mounting system is set up, Combining the electro-rheological fluid effect with hydraulic mount technology and considering the flexibility of the car frame. The simulation model of electro-rheological fluid engine mounting system is build up by the Simulink module of Matlab software to simulate the representative situations of the system, and the displacement and acceleration characteristic curves of the powerplant and the car frame is received. The simulation results indicate that the vibration isolation capability of the system with electric field is better than the one without electric field.

Research on Dynamic Balance Method of Precision Centrifuge

2014 ◽  
Vol 945-949 ◽  
pp. 777-780
Author(s):  
Tao Liu ◽  
Yong Xu ◽  
Bo Yuan Mao
Keyword(s):  
Mathematical Model ◽  
Balance Control ◽  
Dynamic Balance ◽  
Dynamic Balancing ◽  
Structure Characteristics ◽  
Balance System ◽  
Simulation Results ◽  
Set Up ◽  
System Controller ◽  
The Mathematical Model

Firstly, according to the structure characteristics of precision centrifuge, the mathematical model of its dynamic balancing system was set up, and the dynamic balancing scheme of double test surfaces, double emendation surfaces were established. Then the dynamic balance system controller of precision centrifuge was designed. Simulation results show that the controller designed can completely meet the requirements of precision centrifuge dynamic balance control system.

Theoretical and Experimental Study of the Dynamics of the Tripod-Ball Sliding Joint With Clearance

2001 ◽  
Author(s):  
Jia Xiaohong ◽  
Ji Linhong ◽  
Jin Dewen ◽  
Zhang Jichuan
Keyword(s):  
Mathematical Model ◽  
Equations Of Motion ◽  
Experimental Studies ◽  
Active System ◽  
New Concepts ◽  
Sliding Joint ◽  
New Type ◽  
Set Up ◽  
The Mathematical Model ◽  
Kane Method

Abstract Clearance is inevitable in the kinematic joints of mechanisms. In this paper the dynamic behavior of a crank-slider mechanism with clearance in its tripod-ball sliding joint is investigated theoretically and experimentally. The mathematical model of this new-type joint is established, and the new concepts of basal system and active system are put forward. Based on the mode-change criterion established in this paper, the consistent equations of motion in full-scale are derived by using Kane method. The experimental rig was set up to measure the effects of the clearance on the dynamic response. Corresponding experimental studies verify the theoretical results satisfactorily. In addition, due to the nonlinear elements in the improved mathematical model of the joint with clearance, the chaotic responses are found in numerical simulation.

Parameters Determination of PID in MAX1978

2012 ◽  
Vol 588-589 ◽  
pp. 1458-1461
Author(s):  
Mei Mei Lv ◽  
Tie Liang Lv ◽  
Guo Feng Ou
Keyword(s):  
Mathematical Model ◽  
Measurement Method ◽  
Frequency Measurement ◽  
Frequency Characteristics ◽  
Working Principle ◽  
The Mathematical Model

The system based on the working principle of MAX1978 and TEC, using multi-point at different frequency measurement method, and establishing corresponding mathematical model. Confirmed the pole-zero plot of the PID, according to the amplitude-frequency and phase-frequency characteristics of the mathematical model, and then, adjusted the corresponding resistance and capacitance of the circuit to make the accuracy of the temperature adjustment to 1E-3centigrade.

Numerical Analysis of Heat and Mass Transfer Performance of the Packed-Type Parallel Flow Dehumidifier

2014 ◽  
Vol 989-994 ◽  
pp. 3100-3104
Author(s):  
Rui Hang Zhang ◽  
Zi Ye Wang ◽  
Run Ping Niu
Keyword(s):  
Mathematical Model ◽  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Parallel Flow ◽  
Transfer Performance ◽  
Transfer Coefficients ◽  
Simulation Results ◽  
Set Up ◽  
The Impact ◽  
The Mathematical Model

TA mathematical model describing heat and mass transfer performance of packed-type parallel flow dehumidifier was set up. The numerical solution of differential equations was derived. Taking the heat and mass transfer coefficients obtained by experiments as the input parameters of the model, the impact of solution inlet parameters on outlet parameter of air was described. The simulation results indicated that the mathematical model could be used to predict the performance of liquid dehumidification. The results showed that the mathematical model can be of great value in the design and improvement of dehumidifier.

scholarly journals A MULTIDIMENSIONAL SUBDIFFUSION MODEL WITH CHEMOTAXIS

2019 ◽  
Vol 11 (2) ◽  
pp. 1
Author(s):  
Bambang Hendriya Guswanto
Keyword(s):  
Mathematical Model ◽  
Probability Measure ◽  
Random Walks ◽  
Unit Ball ◽  
Dimensional Case ◽  
One Dimensional ◽  
The One ◽  
The Mathematical Model

The mathematical model for subdiffusion process with chemotaxis proposed by Langlands and Henry [1] for the one-dimensional case is extended to the multi-dimensional case. The model is derived from random walks process using a probability measure on a n-multidimensional unit ball $S^{n-1}$.

scholarly journals Measurement of Relative Position of Camera and Optical Beacon by Simultaneous Passive Method

2019 ◽  
Vol 8 (1) ◽  
pp. 1 ◽  
Author(s):  
Jiri Nemecek ◽  
Martin Polasek
Keyword(s):  
Mathematical Model ◽  
Relative Position ◽  
Analytical Method ◽  
Measurement Method ◽  
Position Angle ◽  
Experimental Measurements ◽  
Light Sources ◽  
Passive Measurement ◽  
Passive Method ◽  
The Mathematical Model

The paper deals with a problem of a passive measurement of the relative position of an optical beacon and an optical camera by a simultaneous analytical method. The beacon is composed of nine light sources which are arranged in space in a defined way. The proposed beacon layout enables the measurement of the beacon range and one position angle of the camera. This paper presents the mathematical model of the measurement method and the results, which were gathered on the basis of two experimental measurements. The first experiment was only indicative. The extreme results of the second experiment were as follows: the minimum and maximum absolute percentage errors of the beacon range were zero and 1.72%, the minimum and maximum errors of the position angle were 0.1 deg and 1.64 deg. The standard commercial cameras and lenses with different focal lengths were used.

scholarly journals Prediction of Al2O3 leaching recovery in the Bayer process using statistical multilinear regresion analysis

2010 ◽  
Vol 46 (2) ◽  
pp. 161-169 ◽  
Author(s):  
I. Djuric ◽  
P. Djordjevic ◽  
I. Mihajlovic ◽  
Dj. Nikolic ◽  
Z. Zivkovic
Keyword(s):  
Mathematical Model ◽  
Bayer Process ◽  
Alumina Production ◽  
Statistical Reliability ◽  
Leaching Process ◽  
Input Parameters ◽  
Statistical Sample ◽  
One Year ◽  
The One ◽  
The Mathematical Model

This paper presents the results of defining the mathematical model which describes the dependence of leaching degree of Al2O3 in bauxite from the most influential input parameters in industrial conditions of conducting the leaching process in the Bayer technology of alumina production. Mathematical model is defined using the stepwise MLRA method, with R2 = 0.764 and significant statistical reliability - VIF<2 and p<0.05, on the one-year statistical sample. Validation of the acquired model was performed using the data from the following year, collected from the process conducted under industrial conditions, rendering the same statistical reliability, with R2 = 0.759.

scholarly journals WAVE ATTENUATION AND WAVE SET-UP ON A COASTAL REEF

1980 ◽  
Vol 1 (17) ◽  
pp. 27 ◽  
Author(s):  
Franciscus Gerritsen
Keyword(s):  
Mathematical Model ◽  
Wave Attenuation ◽  
Scale Effects ◽  
Shallow Reef ◽  
Laboratory Investigations ◽  
Deep Water Wave ◽  
Set Up ◽  
The University ◽  
Incident Waves ◽  
The Mathematical Model

In attempting to specify criteria for the design of structures on coastal reefs, it was found that no adequate method existed to derive those criteria from the deep water wave conditions. In order to fill the gap, a program of measurements and analysis was initiated at the University of Hawaii. The program consisted of prototype and laboratory measurements. Great emphasis was placed on reliable field data, which were collected on Ala Moana Reef, in Honolulu. Laboratory investigations on the behavior of waves on shallow reefs are subject to scale effects; verification from field observations is required to obtain reliable results. As a result of this study, a mathematical model was developed for the calculation of wave attenuation and wave set-up on a shallow reef, using the incident waves in the ocean as boundary conditions. This paper discusses the general behavior of waves approaching a shallow reef and presents some essential characteristics of the mathematical model. The study is limited to waves approaching the shoreline at right angles. The results of this study can be extended to breakwaters with wide, submerged berms.

scholarly journals Working Characteristics of Variable Intake Valve in Compressed Air Engine

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Qihui Yu ◽  
Yan Shi ◽  
Maolin Cai
Keyword(s):  
Mathematical Model ◽  
Energy Utilization ◽  
Utilization Efficiency ◽  
Compressed Air ◽  
Maximum Output ◽  
Output Torque ◽  
Good Consistency ◽  
Intake Pressure ◽  
Set Up ◽  
The Mathematical Model

A new camless compressed air engine is proposed, which can make the compressed air energy reasonably distributed. Through analysis of the camless compressed air engine, a mathematical model of the working processes was set up. Using the software MATLAB/Simulink for simulation, the pressure, temperature, and air mass of the cylinder were obtained. In order to verify the accuracy of the mathematical model, the experiments were conducted. Moreover, performance analysis was introduced to design compressed air engine. Results show that, firstly, the simulation results have good consistency with the experimental results. Secondly, under different intake pressures, the highest output power is obtained when the crank speed reaches 500 rpm, which also provides the maximum output torque. Finally, higher energy utilization efficiency can be obtained at the lower speed, intake pressure, and valve duration angle. This research can refer to the design of the camless valve of compressed air engine.

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