Mathematical Model of Three-Phase Boost Converter

2012 ◽  
Vol 507 ◽  
pp. 96-100
Author(s):  
Zhong Zhang ◽  
Wei Ming Tong
Keyword(s):  
Mathematical Model ◽  
Nonlinear Control ◽  
Control Strategy ◽  
Boost Converter ◽  
Analysis Method ◽  
Topology Structure ◽  
Conservation Of Energy ◽  
Three Phase ◽  
Converter Topology ◽  
The Mathematical Model

Now the nonlinear control strategy used by a lot of power electronic converters is not dependent on the mathematical model of the system. They are only based on the error of control variables to control the output voltage or other variables, and this leads to the shortcomings of poor control and not easy to optimize. The fundamental reason is that they are not based on the mathematical model of converter topology structure. This paper presents a new way to build mathematical model. The paper established the unified mathematical model of the three-phase Boost converter topology structure by studied the three-phase Boost converter topology structure deeply and based on the law of conservation of energy and combined with small-signal modeling analysis method, and done the systematic analysis for it. The analysis method is also applicable to other converter topology, such as the buck, buck-boost, etc., and the model not only can be used in the controller design, can also provide a theoretical basis for the applications of a new nonlinear control strategy.

scholarly journals Research on the Nonlinear Control Strategy of Three-Phase Bridgeless Rectifier under Unbalanced Grids

Electronics ◽  
2021 ◽  
Vol 10 (24) ◽  
pp. 3090
Author(s):  
Hong Cheng ◽  
Daokuan Yang ◽  
Cong Wang
Keyword(s):  
Mathematical Model ◽  
Nonlinear Control ◽  
Control Strategy ◽  
Dynamic Performance ◽  
Power Grids ◽  
Current Loop ◽  
State Variables ◽  
Three Phase ◽  
Sequence Components ◽  
Practical Engineering

The three-phase Y-connected bridgeless rectifier is essentially a nonlinear system, and it is difficult to obtain superior dynamic performance under the action of traditional linear controller. Under the condition of unbalanced power grids, this paper has established a mathematical model based on Euler–Lagrange (EL) equations with line voltage and line current as state variables. Furthermore, it then designed a passivity-based controller in inner current loop based on the mathematical model. The hybrid nonlinear control strategy consisting of active disturbance rejection controller (ADRC) in the outer voltage loop and passivity-based controller (PBC) in the inner current loop is adopted to control the system, which does not need to consider the positive and negative sequence components. The control structure is simple and can improve the steady-state accuracy, dynamic performance and anti-interference ability. The feasibility of the proposed control strategy is verified by computer simulation, which has a guiding significance for the application of three-phase bridgeless rectifier in practical engineering.

A New Nonlinear Control Strategy for DC/AC Inverter

2012 ◽  
Vol 466-467 ◽  
pp. 829-833 ◽  
Author(s):  
Kun Mu ◽  
Xiao Bin Mu ◽  
Xue Yu Bao
Keyword(s):  
Nonlinear Control ◽  
Control Strategy ◽  
High Performance ◽  
Control Method ◽  
Assembly Language ◽  
Single Chip ◽  
Two Phase ◽  
Three Phase ◽  
Passivity Based Control ◽  
The Mathematical Model

The mathematical model of Three-phase VoltagePulse Width Modulation (PWM) DC/AC inverter is non-linear, in view of the traditional linear control strategy can not meet the requirements of designing high-performance DC/AC inverter, this paper propose a new nonlinear control strategy for Three-phase Voltage PWM DC/AC inverter called Passivity-based Control. We can alter the inverter model in three-phase abc coordinate to two-phase synchronous rotating dq coordinate for establishing the Euler – Lagrange (EL) energy model for this system, then we also proof this system is strictly passive. We can control the output energy of the system, and we use the approaches of injecting damping and decoupling to improve system performance. Usually, we can use Single Chip Microcomputer or other kinds of computer with this algorithm for our design, this algorithm can be programmed with the computer language, such as C/C++ and assembly language, etc. Simulation results show that passivity-based control method can make this system possess the high-performance of robustness and dynamic.

Force tracking control of grinding end effector based on backstepping + PID

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Shijie Dai ◽  
Shining Li ◽  
Wenbin Ji ◽  
Zhenlin Sun ◽  
Yufeng Zhao
Keyword(s):  
Mathematical Model ◽  
Linear System ◽  
Control Strategy ◽  
Grinding Force ◽  
Constant Force ◽  
End Effector ◽  
Content Type ◽  
Modeling And Analysis ◽  
The Mathematical Model ◽  
Automobile Wheel

Purpose This study aims to realize the constant force grinding of automobile wheel hub. Design/methodology/approach A force control strategy of backstepping + proportion integration differentiation (PID) is proposed. The grinding end effector is installed on the flange of the robot. The robot controls the position and posture of the grinding end actuator and the grinding end actuator controls the grinding force output. First, the modeling and analysis of the grinding end effector are carried out, and then the backstepping + PID method is adopted to control the grinding end effector to track the expected grinding force. Finally, the feasibility of the proposed method is verified by simulation and experiment. Findings The simulation and experimental results show that the backstepping + PID strategy can track the expected force quickly, and improve the dynamic response performance of the system and the quality of grinding and polishing of automobile wheel hub. Research limitations/implications The mathematical model is based on the pneumatic system and ideal gas, and ignores the influence of friction in the working process of the cylinder, so the mathematical model proposed in this study has certain limitations. A new control strategy is proposed, which is not only used to control the grinding force of automobile wheels, but also promotes the development of industrial control. Social implications The automatic constant force grinding of automobile wheel hub is realized, and the manpower is liberated. Originality/value First, the modeling and analysis of the grinding end effector are carried out, and then the backstepping + PID method is adopted to control the grinding end effector to track the expected grinding force. The nonlinear model of the system is controlled by backstepping method, and in the process, the linear system composed of errors is obtained, and then the linear system is controlled by PID to realize the combination of backstepping and PID control.

Reseach on Control Strategy Based on p-q-r Theory for Four-Leg Grid-Connected Inverter

2012 ◽  
Vol 433-440 ◽  
pp. 1099-1105
Author(s):  
Hong Bing Chen ◽  
Xing Zhang
Keyword(s):  
Control Strategy ◽  
Control Strategies ◽  
Experimental Result ◽  
Control Algorithms ◽  
Three Phase ◽  
Result Show ◽  
Grid Connected Inverter ◽  
Full Design ◽  
The Mathematical Model

The mathematical model for three-phase four-leg grid-connected inverter is modeled by the simplified p-q-r theory. The control strategy is proposed based on the characteristic of controlled variables. PI algorithm is adopted for variables of p axis and q axis, and PR algorithm is adopted for variable of r axis. The full design and analysis of the proposed control algorithms are given in this paper. Simulation results and experimental result show that quality of four-leg grid-connected inverter output current is higher, and effectiveness of the proposed control strategies is validated by all results.

Transfer Heat Mechanism of Oil-Gas-Water Three-Phase Flow in Pipeline

2011 ◽  
Vol 199-200 ◽  
pp. 1609-1612
Author(s):  
Qian Jun Mao
Keyword(s):  
Mathematical Model ◽  
Soil Temperature ◽  
Phase Flow ◽  
Fundamental Theory ◽  
Three Phase ◽  
Three Phase Flow ◽  
The Mathematical Model ◽  
Oil Gas ◽  
Flow Transfer ◽  
Heat Mechanism

It is well known that the oil-gas-water three-phase flow belongs to the field of multiphase flow,transfer heat mechanism of which is very complicated.Transfer heat mechanism is affected not only by different buries in oil gathering pipeline, but also by soil temperature periodicity change. Both domestic and oversea scholars have already studied on the transfer heat mechanisms of oil-gas-water three phase,but they are still in the level of fundamental theory and laboratory.This paper establishes transfer heat models of the oil-gas-water three-phase flow in buried oil gathering pipeline, including the physical model and the mathematical model,and testing in experiment .The purpose of this paper is to analyze value between the calculation and the testing . The results show that the mathematical model of this paper is accurate , and the relative error is ≤ 10%.

Study of Topology and Control Strategy of the Bidirectional Energy Storage Converter Based on Three-Level

2013 ◽  
Vol 397-400 ◽  
pp. 1169-1173
Author(s):  
Hong Wei Tang ◽  
Xi Kun Chen ◽  
Yan Xia Gao
Keyword(s):  
Mathematical Model ◽  
Energy Storage ◽  
Control Strategy ◽  
Lithium Battery ◽  
Decoupling Control ◽  
Midpoint Potential ◽  
Simulation Results ◽  
And Control ◽  
The Mathematical Model ◽  
Battery Module

To adapt to the requirements of the charging and discharging of the lithium battery, the paper presents a three-level based bidirectional energy storage converter topology.It has strong adaptability and can manage the charge and discharge of multi-series and parallel battery module. The mathematical model of the converter is analyzed, and the two operation modes of the converter control strategy are studied; Analysis the feed-forward decoupling control of three-level rectifier, and the variable scale factor is used to control midpoint potential. The simulation results demonstrate the feasibility of the design.

Research on the Simulation of the Charge Mathematical Model of the Vehicle Starting Battery

2013 ◽  
Vol 680 ◽  
pp. 479-483
Author(s):  
Pei Ying Li ◽  
Yu Tian Pan
Keyword(s):  
Mathematical Model ◽  
Battery Life ◽  
Model Parameters ◽  
Analysis Method ◽  
Lead Acid Battery ◽  
Battery Charge ◽  
Charge Model ◽  
Simulation Results ◽  
The Mathematical Model ◽  
Lead Acid

In order to meet the demands of practical, convenient and quick charge requirements, a mathematical model of a certain type of vehicle starting lead-acid battery is established. Using the method of circuit analysis, the model parameters are identified by the known test data. In addition, battery charge model is simulated in each charge stage using the intelligent three-stage charge method, simulation waveform and test waveform fit very well, absolute errors between them reach to 10-6. Simulation results show that the mathematical model and its analysis method is proper for the charge characteristics of vehicle starting lead-acid battery. This has a good guidance to design intelligent charger and extend the battery life.

scholarly journals Applying Kalman filter on sensor noise cancelation in grid – connected inverter

2015 ◽  
Vol 18 (3) ◽  
pp. 192-198
Author(s):  
Huy Minh Nguyen ◽  
Phuong Minh Le ◽  
Phuong Thanh Ho
Keyword(s):  
Kalman Filter ◽  
Control Strategy ◽  
Electrical Power ◽  
Control Model ◽  
Two Stage ◽  
Three Phase ◽  
Grid Connected Inverter ◽  
Set Up ◽  
The Mathematical Model

This paper presents the control model of three phase grid- connected photovoltaic inverter based on the analysis of operating principle of two-stage conventional gridconnected inverter. The mathematical model of inverter under dq frame is set up and the overall control strategy of two-stage photovoltaic grid-connected inverter is proposed in this paper. To overcome the distortion general caused by switching effect on sensors, a Kalman filter is introduced. The control strategy was simulated on Matlab – Simulink to verify the steady and dynamic of model, improving the quality of electrical power to consumers.

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