scholarly journals Small-size inertia sensor

2018 ◽  
pp. 82-86
Author(s):  
V. N. Kitaev ◽  
R. L. Afanas’Ev ◽  
M. V. Petrov ◽  
V. V. Pol
Keyword(s):  
Mathematical Model ◽  
Parameter Estimation ◽  
Permanent Magnet ◽  
Magnetic System ◽  
Fine Tuning ◽  
Sensor Parameter ◽  
The Mathematical Model ◽  
Inertia Sensor

The study introduces the design and principle of operation of the inertia sensor IV29 with a permanent magnet. According to the mathematical model developed, we consider the results of the sensor parameter estimation, and propose the options for a possible optimization of the magnetic system of the sensor for a better fine-tuning of its actuation data

scholarly journals Set-membership identifiability of nonlinear models and related parameter estimation properties

2016 ◽  
Vol 26 (4) ◽  
pp. 803-813 ◽  
Author(s):  
Carine Jauberthie ◽  
Louise Travé-MassuyèEs ◽  
Nathalie Verdière
Keyword(s):  
Mathematical Model ◽  
Parameter Estimation ◽  
Dynamic System ◽  
Nonlinear Models ◽  
Differential Algebra ◽  
Related Parameter ◽  
Set Membership ◽  
Estimation Problems ◽  
The Mathematical Model

Abstract Identifiability guarantees that the mathematical model of a dynamic system is well defined in the sense that it maps unambiguously its parameters to the output trajectories. This paper casts identifiability in a set-membership (SM) framework and relates recently introduced properties, namely, SM-identifiability, μ-SM-identifiability, and ε-SM-identifiability, to the properties of parameter estimation problems. Soundness and ε-consistency are proposed to characterize these problems and the solution returned by the algorithm used to solve them. This paper also contributes by carefully motivating and comparing SM-identifiability, μ-SM-identifiability and ε-SM-identifiability with related properties found in the literature, and by providing a method based on differential algebra to check these properties.

scholarly journals Modified grey wolf method for optimization of PM motors

2019 ◽  
Vol 28 ◽  
pp. 01020
Author(s):  
Łukasz Knypiński
Keyword(s):  
Mathematical Model ◽  
Permanent Magnet ◽  
Permanent Magnet Synchronous Motor ◽  
Computer Software ◽  
Optimization Procedure ◽  
Optimization Method ◽  
Grey Wolf ◽  
Electromagnetic Devices ◽  
The Mathematical Model ◽  
Grey Wolf Algorithm

The paper presents an algorithm and computer software for the optimization of electromagnetic devices. The mathematical model of the optimization method was presented. The modification of the classical grey wolf algorithm was developed. The modification consists in decreasing the coefficient responsible for the possibility of migration individuals in the permissible area of solved task. The optimization procedure was elaborated in the Borland Delphi environment. The optimization of the rotor of the line-start permanent magnet synchronous motor has been carried out. It has been pointed out that the grey wolf algorithm is effective method for optimization of electromagnetic devices.

Study on Magnetic Materials with Suspension Altitude Control of 6DOF Precision Magnetic Suspension Platform

2013 ◽  
Vol 771 ◽  
pp. 187-191
Author(s):  
Zhen Xiong Zhou ◽  
Yong Yin Qu ◽  
De Jun Liu
Keyword(s):  
Mathematical Model ◽  
Permanent Magnet ◽  
Disturbance Rejection ◽  
Silicon Steel ◽  
Magnetic Suspension ◽  
Parameter Setting ◽  
Levitation System ◽  
Altitude Control ◽  
Coupling Characteristics ◽  
The Mathematical Model

A novel magnetic suspension platform is studied in this paper. Three sets of suspension apparatus is adopted to produce suspension force, each of which consists of the permanent magnet, the U shape yoke and suspension coils. Material of yoke is laminated transformer silicon steel (30ZH100).Material of Permanent magnet is Nd2Fe14B. The mathematical model of suspension was established by analyzing the force exerting on rotor. In view of the levitation system with multi-variable, nonlinear, strong coupling characteristics, ADRC is applied to realize decoupling and disturbance rejection. The rule of ADRC parameter setting was obtained through lots of simulations. The simulation and experimental results indicate this suspension altitude control system has better dynamic characteristics and robust.

scholarly journals MATHEMATICAL MODELING OF A THREE-PHASE TRANSFORMER TAKING INTO ACCOUNT A MAGNETIC CORE ASYMMETRY

2021 ◽  
Vol 295 (2) ◽  
pp. 165-171
Author(s):  
O. KIMSTACH ◽  
◽  
I. ILLIASHENKO ◽  
A. ZHEZHELO ◽  
◽  
...  
Keyword(s):  
Mathematical Model ◽  
Magnetic System ◽  
Short Circuit ◽  
Magnetic Core ◽  
Transient Processes ◽  
Three Phase ◽  
Significant Difference ◽  
The Asymmetry ◽  
High Level ◽  
The Mathematical Model

The paper analyses the aspects of modelling the operation of a three-phase core-type transformer. The features of the magnetic system construction of the transformer, which generate asymmetry, are disclosed. The fundamentals and methods for modelling a transformer in dynamic modes are considered. The main purpose of the paper is to research the influence of taking into account the asymmetry of the transformer magnetic core on its dynamic model. The paper proposes the mathematical model of a three-phase planar core-type transformer, which takes into account the asymmetry of the magnetic core. The mathematical model is based on the model of a generalized electric machine in the ABC axes, which is widely recognized and characterized by a high level of adequacy. A refined model, which takes into account the power losses in the magnetic core, has used. As is well known, such a model is characterized by higher accuracy and adequacy in the calculation of transient processes. For the proposed mathematical model, a comparative analysis of the calculated curves of transient processes for a 63 kVA transformer with a voltage of 6 / 0.4 kV is made. To disclose the effect of taking into account the magnetic core asymmetry of the transformer in the mathematical model, the current differences were calculated in pu for the modes of switching on at full power and three-phase short circuit. These modes are the most common and indicative in the analysis of the operability and stability of transformers. It was found that the most significant difference, which is obtained by taking into account the magnetic system asymmetry of the transformer, is 5…6% when it is switched on at full load. Thus, the relatively simple transformations and updating of the mathematical model of the transformer allow significantly increase its adequacy. The proposed mathematical model can be more effectively used when the non-typical design of three-phase transformers or reactors with significant asymmetry of the magnetic core is considered.

Research on Control System of Gearless Permanent Magnet Synchronous Traction Elevator

2011 ◽  
Vol 383-390 ◽  
pp. 5945-5950
Author(s):  
Yan Hu ◽  
Zhen Guang ◽  
Xiao Yu Wang
Keyword(s):  
Mathematical Model ◽  
Control System ◽  
Permanent Magnet ◽  
Pulse Width ◽  
Pulse Width Modulation ◽  
Control Method ◽  
Modulation Method ◽  
Driving System ◽  
Simulation Results ◽  
The Mathematical Model

A driving system for gearless traction machine plays an very important role in controlling elevator’s running. And its performances have a direct effect on the elevator’s performance. On the basic of the mathematical model of the gearless permanent magnetic synchronous machine (PMSM), id=0 vector control method and space vector pulse width modulation method are used in the control system. Then making a simulation on the system designed by MATLAB/SIMULINK. The simulation results show that the control method is feasible.

scholarly journals Optimal design of the rotor geometry of line-start permanent magnet synchronous motor using the bat algorithm

Open Physics ◽  
2017 ◽  
Vol 15 (1) ◽  
pp. 965-970 ◽  
Author(s):  
Łukasz Knypiński
Keyword(s):  
Mathematical Model ◽  
Permanent Magnet ◽  
Permanent Magnet Synchronous Motor ◽  
Bat Algorithm ◽  
Synchronous Motor ◽  
Permanent Magnet Synchronous Motors ◽  
Synchronous Motors ◽  
Basic Language ◽  
Visual Basic Language ◽  
The Mathematical Model

AbstractIn this paper an algorithm for the optimization of excitation system of line-start permanent magnet synchronous motors will be presented. For the basis of this algorithm, software was developed in the Borland Delphi environment. The software consists of two independent modules: an optimization solver, and a module including the mathematical model of a synchronous motor with a self-start ability. The optimization module contains the bat algorithm procedure. The mathematical model of the motor has been developed in an Ansys Maxwell environment. In order to determine the functional parameters of the motor, additional scripts in Visual Basic language were developed. Selected results of the optimization calculation are presented and compared with results for the particle swarm optimization algorithm.

scholarly journals Mathematical model parameter estimation of a generating unit operating in the Polish National Power System

2016 ◽  
Vol 64 (2) ◽  
pp. 409-416
Author(s):  
Ł. Majka ◽  
S. Paszek
Keyword(s):  
Mathematical Model ◽  
Parameter Estimation ◽  
Power System ◽  
Objective Function ◽  
Model Parameters ◽  
Gradient Algorithms ◽  
Hybrid Optimization Algorithm ◽  
National Power ◽  
The Mathematical Model ◽  
Paper Method

Abstract In the paper, a method and results of parameter estimation of the mathematical model of a generating unit operating in the Polish National Power System are presented. Computations of the parameters were carried out based on measurement and simulation of dynamic waveforms of selected quantities of the generating unit. The problem of parameter identification was brought to minimization of the objective function determined by the vector of deviations between the approximated and approximating waveforms computed on the basis of the models expressed by the searched parameters. A hybrid optimization algorithm, being a serial combination of genetic and gradient algorithms, was used for minimization of the objective function. A methodology for filtering the recorded measurement signals is proposed in the paper. Method and results calculation of the sensitivity to changes of the model parameters of selected dynamic waveforms are also presented.

Bearingless Permanent Magnet Synchronous Motor using Independent Control

2015 ◽  
Vol 6 (2) ◽  
pp. 233
Author(s):  
Normaisharah Mamat ◽  
Kasrul Abdul Karim ◽  
Zulkiflie Ibrahim ◽  
Tole Sutikno ◽  
Siti Azura Ahmad Tarusan ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Permanent Magnet ◽  
High Speed ◽  
High Performance ◽  
High Efficiency ◽  
Permanent Magnet Synchronous Motor ◽  
Synchronous Motor ◽  
Magnetic Bearing ◽  
Force Model ◽  
The Mathematical Model

Bearingless permanent magnet synchronous motor (BPMSM) combines the characteristic of the conventional permanent magent synchronous motor and magnetic bearing in one electric motor. BPMSM is a kind of high performance motor due to having both advantages of PMSM and magnetic bearing with simple structure, high efficiency, and reasonable cost. The research on BPMSM is to design and analyse BPMSM by using Maxwell 2-Dimensional of ANSYS Finite Element Method (FEM). Independent suspension force model and bearingless PMSM model are developed by using the method of suspension force. Then, the mathematical model of electromagnetic torque and radial suspension force has been developed by using Matlab/Simulink. The relation between force, current, distance and other parameter are determined. This research covered the principle of suspension force, the mathematical model, FEM analysis and digital control system of bearingless PMSM. This kind of motor is widely used in high speed application such as compressors, pumps and turbines.

Research on the Mathematics Model of a Permanent Magnet Linear Oscillatory Actuator with Moving Iron and Non-Salient Pole

2012 ◽  
Vol 443-444 ◽  
pp. 169-176
Author(s):  
Hai Peng Pan ◽  
Yang Wang ◽  
Yong Ming Xia ◽  
Wei Zhang
Keyword(s):  
Mathematical Model ◽  
Permanent Magnet ◽  
Magnetic Circuit ◽  
Mathematics Model ◽  
The Finite Element Method ◽  
Coil Current ◽  
Salient Pole ◽  
The Mathematical Model ◽  
The Relationship ◽  
Selection Of

A novel permanent magnet (PM) linear oscillatory actuator (LOA) of moving-iron and non-salient pole was presented on the basis of LOA research. The mathematical model of the LOA based on the magnetic circuit method was established, and derived the relationship between electromagnetic thrust and coil current, mover’s displacement. The thrust of LOA was simulated by the Finite Element Method (FEM). The corresponding experimental results verifies the electromagnetic thrust is direct proportional to coil current and reverse proportional to mover’s displacement during effective mover’s displacement. So the derived mathematical model based on the magnetic circuit method is correct. This conclusion provides a theoretical basis for the further calculation of thrust, the selection of control current and the design of controlling method.

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