Asymmetric Prandtl-Ishlinskii Hysteresis Model for Giant Magnetostrictive Actuator

2016 ◽  
Vol 20 (2) ◽  
pp. 223-230 ◽  
Author(s):  
Zhuoyun Nie ◽  
◽  
Chanjun Fu ◽  
Ruijuan Liu ◽  
Dongsheng Guo ◽  
...  
Keyword(s):  
Linear Function ◽  
Polynomial Function ◽  
Least Square Method ◽  
Least Square ◽  
Hysteresis Model ◽  
Hysteresis Behavior ◽  
Magnetostrictive Actuator ◽  
Simulation Results

An asymmetric Prandtl–Ishlinskii (API) hysteresis model for a giant magnetostrictive actuator (GMA) is proposed in this paper. The classical Prandtl–Ishlinskii (PI) model is analyzed and divided into two parts: linear function and operator summation. To enhance model asymmetry, a polynomial function is used in the API model as the center curve of the hysteresis instead of the linear function. The remaining curve of the hysteresis is modeled by a new operator that provides some basic asymmetric hysteresis. In this manner, the proposed API model requires relatively less operators and fewer parameters to describe the asymmetric hysteresis behavior of the GMA. All parameters of the API model are identified by a standard least square method. Simulation results show that the API model is very successful in formulating an asymmetric hysteresis of the GMA. In addition, it provides better identification results compared with the classical PI model.

scholarly journals Online Parameter Identification and State of Charge Estimation of Battery Based on Multitimescale Adaptive Double Kalman Filter Algorithm

2020 ◽  
Vol 2020 ◽  
pp. 1-20
Author(s):  
Wenxian Duan ◽  
Chuanxue Song ◽  
Yuan Chen ◽  
Feng Xiao ◽  
Silun Peng ◽  
...  
Keyword(s):  
Kalman Filter ◽  
Parameter Identification ◽  
Unscented Kalman Filter ◽  
Least Square Method ◽  
State Of Charge ◽  
Least Square ◽  
Accurate Estimation ◽  
Battery Life ◽  
Model Parameters ◽  
Simulation Results

An accurate state of charge (SOC) can provide effective judgment for the BMS, which is conducive for prolonging battery life and protecting the working state of the entire battery pack. In this study, the first-order RC battery model is used as the research object and two parameter identification methods based on the least square method (RLS) are analyzed and discussed in detail. The simulation results show that the model parameters identified under the Federal Urban Driving Schedule (HPPC) condition are not suitable for the Federal Urban Driving Schedule (FUDS) condition. The parameters of the model are not universal through the HPPC condition. A multitimescale prediction model is also proposed to estimate the SOC of the battery. That is, the extended Kalman filter (EKF) is adopted to update the model parameters and the adaptive unscented Kalman filter (AUKF) is used to predict the battery SOC. The experimental results at different temperatures show that the EKF-AUKF method is superior to other methods. The algorithm is simulated and verified under different initial SOC errors. In the whole FUDS operating condition, the RSME of the SOC is within 1%, and that of the voltage is within 0.01 V. It indicates that the proposed algorithm can obtain accurate estimation results and has strong robustness. Moreover, the simulation results after adding noise errors to the current and voltage values reveal that the algorithm can eliminate the sensor accuracy effect to a certain extent.

Modeling Rate-Dependent Hysteresis for Magnetostrictive Actuator

2007 ◽  
Vol 546-549 ◽  
pp. 2251-2256 ◽  
Author(s):  
Zhang Zhen ◽  
Jian Qin Mao
Keyword(s):  
Differential Equation ◽  
Eddy Current Loss ◽  
Dynamics Simulation ◽  
Hysteresis Model ◽  
Order Ordinary Differential Equation ◽  
Rate Dependent ◽  
Magnetostrictive Actuator ◽  
Simulation Results ◽  
Mechanical Dynamics ◽  
Good Agreement

The rate-dependent hysteresis exhibited by magnetostrictive actuator (MA) presents a challenge in modeling of these actuators. In this paper, a novel rate-dependent hysteresis model was proposed for magnetostrictive actuator. In the model, the modified Prandtl-Ishlinskii operator (PI) is combined with a second order ordinary differential equation in a cascaded structure. The modified PI operator is used to account for the static hysteresis, the connection between ODE and the rate-dependent energy loss was established, including the classical eddy current loss and the mechanical dynamics. Simulation results show a good agreement with the experiment ones.

The Calculation of Earth Capacitance Based on Least Square Method

2012 ◽  
Vol 433-440 ◽  
pp. 6028-6032
Author(s):  
Heng Xu Ha ◽  
Xiao Liu ◽  
Xi Tong Hu
Keyword(s):  
Power System ◽  
Single Phase ◽  
Least Square Method ◽  
Least Square ◽  
Neutral System ◽  
Negative Effects ◽  
Capacitive Current ◽  
Measurement Results ◽  
Simulation Results ◽  
Capacitance Current

The grounding capacitive current is one of the most important parameters of ungrounded neutral system. Usually this parameter is obtained with the method of additional capacitor or metal grounding. However, the former is complicated and the additional capacitor has negative effects on measurement results, and the later is dangerous when used in testing. In view of that, the paper proposes a new method to calculate grounding capacitance current based on the data of single-phase-grounding faults in power system with indirectly earthed neutral. This method reduces the error by using the least-square method .The ATP simulation results show that this method is accurate basically.

System Identification of a Class of Second-Order Continuous System

2014 ◽  
Vol 651-653 ◽  
pp. 528-533 ◽  
Author(s):  
Zhi Gang Jia ◽  
Xing Xuan Wang
Keyword(s):  
Linear Equations ◽  
Continuous System ◽  
Least Square Method ◽  
Second Order ◽  
Least Square ◽  
Step Response ◽  
Order System ◽  
Simulation Results ◽  
Order Continuous ◽  
Identification Model

An identification method of a class of second-order continuous system is proposed. This method constructs a discrete-time identification model, forms a set of linear equations. The parameters can be obtained by least square method. Simulation results show that the method is effective for a class of second-order system, and is not only for step response but also for square wave signal.

Methods of Feature Weighting Calculation and Case Retrieval in CBR Case Base

2014 ◽  
Vol 490-491 ◽  
pp. 1391-1398
Author(s):  
Xiao Ping Li
Keyword(s):  
Least Squares Method ◽  
Least Square Method ◽  
High Accuracy ◽  
Typical Case ◽  
Feature Weighting ◽  
Least Square ◽  
Case Retrieval ◽  
Use Of Data ◽  
On Line ◽  
Simulation Results

This article proposes the necessity and feasibility of the use of Data Mining and Knowledge Discovery in CBR reasoning. This paper focuses on the method of empowering feature items based on least squares method parameter identification, and achieve the method of Similarity case retrieval on this basis, the object is the typical case database of railway rescue. The simulation results show that: the least square method can effectively make estimation and identification of the feature parameters, and can continuously correct on-line. High accuracy and fast convergence characteristics of the assigned parameters show that the algorithm has a certain application value.

Modeling of Pulp Washing Process Based on Two-Step BP Neural Network

2012 ◽  
Vol 198-199 ◽  
pp. 1712-1715
Author(s):  
Hua Zhong Wang ◽  
Wen Juan Shan
Keyword(s):  
Neural Network ◽  
Bp Neural Network ◽  
Model Simulation ◽  
Least Square Method ◽  
Least Square ◽  
Washing Process ◽  
Optimization Control ◽  
Important Quality ◽  
Simulation Results ◽  
Quality Indexes

The most important quality indexes to evaluate pulp washing performance are residual soda and the Baume degree. But it is difficult to measure the two indexes directly. To solve the problem of optimization control of the washing process, the model of the residual soda and the Baume degree are studied in this paper. Simulating residual soda and the Baume degree via a two-step neural network and modeling them based on least square method and steady-state data obtained by neural network model. Simulation results show that this method can effectively locate the pulp washing process.

Load Dependent Hysteresis Model for GMM and its Parameter Identification

2012 ◽  
Vol 226-228 ◽  
pp. 2385-2389 ◽  
Author(s):  
Guang Hui Chang ◽  
Shi Jian Zhu ◽  
Jing Jun Lou
Keyword(s):  
Vibration Control ◽  
Smart Materials ◽  
Active Vibration Control ◽  
Least Square Method ◽  
Least Square ◽  
Hysteresis Curve ◽  
Model Parameters ◽  
Hysteresis Model ◽  
Magnetostrictive Actuators ◽  
Active Vibration

This paper focuses on the development of load-dependent hysteresis model for Giant magnetostrictive materials (GMM). GMM are a class of smart materials and which are used mostly as actuators for active vibration control. Magnetostrictive actuators can deliver high ouput forces and relatively high displacements. Here, Terfenol-D, a magnetostrictive material is studied. Unlike the hysteresis seen in magnetic materials, The shape of Terfenol-D hysteresis curve changes significantly if the load is changed. To meet performance requirements for active vibration control, an accurate hysteresis model is needed. By modeling the Gibbs energy for each dipole and the equilibrium states, load-dependent hysteresis of GMM is modeled. Then a new PSO-LSM algorithm is brought forward by combing the Particle Swarm Optimization (PSO) with the least square method (LSM).Throughout this algorithm the model parameters were identified. The model results and experimental data were compared at different loads. The simulation results show that the load-dependent hysteresis model optimized by PSO-LSM yields outstanding performance and perfect accuracy.

Research on Algorithm for Non-Cooperative Target Inertial Parameters Identification

2014 ◽  
Vol 543-547 ◽  
pp. 1550-1554
Author(s):  
Zhi Gang Chen ◽  
Ju Shu ◽  
Su Xia Zhu
Keyword(s):  
Least Square Method ◽  
High Accuracy ◽  
Least Square ◽  
New Method ◽  
Recursive Method ◽  
Recursive Least Square ◽  
Inertial Parameters ◽  
Conservation Of Momentum ◽  
Simulation Results ◽  
Recursive Least Square Method

It is of great importance to accomplish identifying the non-cooperative targets inertial parameters for capturing and controlling it. This paper adopts an identification method utilizing the tactile and vision to establish the identification equations based on the principle of conservation of momentum. In order to solve the equations precisely and rapidly, two of the most widely used methods: the least square method and the recursive least-square method (RLS) are employed for simulation and calculation utilizing ADAMS and MATLAB, and the limitation of each method is pointed out. Then the paper proposes a new method named the recursive method based on the least square solution. This method provides the identification equation a new solving thought and realizes fast identification of the targets inertial parameters at high accuracy. The simulation results verify the validity and feasibility of the proposed approach.

An Algorithm of Improving Least-Square Method on Tracing Accuracy of Bistatic Sonar System

2014 ◽  
Vol 568-570 ◽  
pp. 168-171 ◽  
Author(s):  
Yong Sun ◽  
Jun Wei Zhao
Keyword(s):  
Full Rank ◽  
Least Square Method ◽  
Singular Value ◽  
Least Square ◽  
Sonar System ◽  
Rank Matrix ◽  
Measured Information ◽  
Tracing Algorithm ◽  
Simulation Results ◽  
Value Decomposition

The least square algorithms were widely used in the estimation of localizing and tracing situation in military fields. In this paper, we proposed a method of using a full rank matrix instead of using singular value decomposition to solving the non-full rank matrix. Therefore the improving least square (ILS) algorithm was emerged at this situation. The simulation results show that the proposed tracing algorithm exhibits higher accuracy compared with the least square algorithm. This new method can take full application of the measured information to improved the tracing accuracy in the whole controlled area.

Dynamic Parameters Identification for Tong & Tong-Carrier of a Forging Manipulator

2011 ◽  
Vol 121-126 ◽  
pp. 2006-2010
Author(s):  
Ning Bo Cheng ◽  
Li Wen Guan ◽  
Li Ping Wang ◽  
Jian Han
Keyword(s):  
Dynamic Model ◽  
Relative Error ◽  
Linear Form ◽  
Least Square Method ◽  
Least Square ◽  
Dynamic Parameters ◽  
Mass Center ◽  
Simulation Results ◽  
Forging Manipulator ◽  
Center Parameter

This paper deals with the dynamic parameters of the combination of the tong, the tong-carrier and (or without) a forging (link TCF). Two linear form equations of the dynamic model of link TCF about the dynamic parameters are obtained. And then based on two linear form equations, the least square method is adopted to identify the parameters. Simulation results show that the identified dynamic parameters, mass m, moment of inertia IL and the mass center parameter b1, have a small relative error that no more than 5%.

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