scholarly journals Nonlinear Dynamics of Buck Converter

2015 ◽  
Vol 2 ◽  
pp. 156
Author(s):  
Dmitry Pikulin
Keyword(s):  
Pulse Width Modulation ◽  
Piecewise Linear ◽  
Path Following ◽  
Buck Converter ◽  
Invariant Sets ◽  
Engineering Practice ◽  
Nonlinear Phenomena ◽  
Switching Converters ◽  
Continuous Current ◽  
Modulation Control

This paper is concerned with the problem of modeling and simulation of piecewise linear systems with the pulse width modulation control. Models of this kind of systems are widely used in engineering practice, in particular in power electronic converters. The research provides the study of chaos and bifurcations in one of the switching converters – step-down converter under voltage mode control, operating in discontinuous and continuous current modes, using Matlab and Simulink simulation environment. Various types of models, including discrete – time maps, switched state – space models are examined in order to detect their suitability and reliability in numerical investigation of nonlinear phenomena in DC–DC converters. Some analytical methods for the search of periodic regimes and their stability estimation were also used in order to validate numerically obtained results and evaluate the accuracy of models used. As direct simulation does not accurately pinpoint bifurcation points and computes only stable invariant sets, some aspects and advantages of numerical path-following are also discussed.

Reconstruct the PWM Signal of Switching Power Supplies from the Near Field Radiation

2013 ◽  
Vol 718-720 ◽  
pp. 1792-1796
Author(s):  
Zhong Qun Li ◽  
Kai Xie ◽  
Ying Hao Ye ◽  
Rong Bin Guo ◽  
Xu Fei Wang
Keyword(s):  
Pulse Width Modulation ◽  
Signal Reconstruction ◽  
Near Field ◽  
Buck Converter ◽  
Power Supplies ◽  
Switching Converters ◽  
Switching Power ◽  
Magnetic Components ◽  
Field Radiation ◽  
Switching Power Supplies

A non-contact testing method is proposed for encapsulation treated or insulation coated switching power supplies, which is implemented by reconstructing the pulse width modulation (PWM) signal of switching converters from the near field radiation of magnetic components. The radiation pattern of a buck converter is investigated, and the magnetic field sensing probe and PWM signal reconstruction circuit are also illustrated. The reconstruction testing is carried out on a buck converter; the duty cycle error of the reconstructed PWM signal is less than 0.2%, which validates the proposed method.

scholarly journals Chaos Control and Stabilization of a PID Controlled Buck Converter Using the Spotted Hyena Optimizer

2021 ◽  
Vol 11 (6) ◽  
pp. 7922-7926
Author(s):  
D. Bakria ◽  
M. Azzouzi ◽  
D. Gozim
Keyword(s):  
Chaotic Dynamics ◽  
Pulse Width Modulation ◽  
Buck Converter ◽  
Spotted Hyena ◽  
Nonlinear Phenomena ◽  
Constant Frequency ◽  
And Control ◽  
Nonlinear Behaviors ◽  
Conduction Mode ◽  
Frequency Pulse

The voltage controlled buck converter by constant-frequency pulse-width modulation in continuous conduction mode gives rise to a variety of nonlinear behaviors depending on the circuit parameters values, which complicate their analysis and control. In this paper, a description of the DC/DC buck converter and an overview of some of its chaotic dynamics is presented. A solution based on the optimized PID controller is suggested to eliminate the observed nonlinear phenomena and to enhance the dynamics of the converter. The parameters of the controller are optimized with the Spotted Hyena Optimizer (SHO) which uses the sum of the error between the reference voltage and the output voltage as well as the error between the values of the inductor current in every switch opening instant to determine the fitness of each solution. The simulations results in MATLAB proved the efficiency of the proposed solution.

Effects of Non-smooth Phenomena on the Dynamics of DC-DC Converters

2011 ◽  
Vol 29 (1) ◽  
pp. 119-122
Author(s):  
Dmitry Pikulin
Keyword(s):  
Dynamical Systems ◽  
Nonlinear Systems ◽  
Bifurcation Analysis ◽  
Power Converters ◽  
Piecewise Linear ◽  
Nonlinear Phenomena ◽  
Switching Converters ◽  
Bifurcation Diagrams ◽  
Linear Dynamical Systems ◽  
Switch Mode

Effects of Non-smooth Phenomena on the Dynamics of DC-DC ConvertersThis paper provides the analysis of nonlinear phenomena in switch-mode power converters. In distinction to majority of known researches this paper presents novelty approach, allowing the complete bifurcation analysis, considering stable and various types of unstable behavior of nonlinear systems. Main results are illustrated on one of the most widely used switching converters - current controlled boost converter, for which the complete one-parametric bifurcation diagrams are constructed. The results include the detection of various types of rare attractors, smooth bifurcations and non-smooth phenomena, specific to piecewise linear dynamical systems.

scholarly journals STABILITY ANALYSIS OF DC-DC BUCK CONVERTERS

2020 ◽  
Vol 4 (1) ◽  
pp. 01-06
Author(s):  
Ahmed M. Alturas ◽  
Abdulmajed O. Elbkosh ◽  
Othman Imrayed
Keyword(s):  
Stability Analysis ◽  
Pulse Width ◽  
Pulse Width Modulation ◽  
Circuit Simulation ◽  
Buck Converter ◽  
Nonlinear Phenomena ◽  
Buck Converters ◽  
Dc Power ◽  
The Stability ◽  
Oriented Approach

This paper is focusing on the stability analysis of the voltage mode control buck converter controlled by pulse-width modulation (PWM). Using two different approaches, the nonlinear phenomena are investigated in two terms, slow scale and fast scale bifurcation. A complete design-oriented approach for studying the stability of dc-dc power converters and its bifurcation has been introduced. The voltage waveforms and attractors obtained from the circuit simulation have been studied. With the onset of instability, the phenomenon of subharmonics oscillations, quasi-periodicity, bifurcations, and chaos have been observed

Some Nonlinear Effects of Magnetic Bearings

1999 ◽  
Author(s):  
Norbert Steinschaden ◽  
Helmut Springer
Keyword(s):  
Equations Of Motion ◽  
Period Doubling ◽  
Path Following ◽  
Nonlinear Effects ◽  
Magnetic Bearing ◽  
Operating Conditions ◽  
Active Magnetic Bearing ◽  
Nonlinear Phenomena ◽  
Amb System ◽  
Large Rotor

Abstract In order to get a better understanding of the dynamics of active magnetic bearing (AMB) systems under extreme operating conditions a simple, nonlinear model for a radial AMB system is investigated. Instead of the common way of linearizing the magnetic forces at the center position of the rotor with respect to rotor displacement and coil current, the fully nonlinear force to displacement and the force to current characteristics are used. The AMB system is excited by unbalance forces of the rotor. Especially for the case of large rotor eccentricities, causing large rotor displacements, the behaviour of the system is discussed. A path-following analysis of the equations of motion shows that for some combinations of parameters well-known nonlinear phenomena may occur, as, for example, symmetry breaking, period doubling and even regions of global instability can be observed.

Flow Control by Pulso Width Modulation

1972 ◽  
Vol 5 (4) ◽  
pp. 142-146
Author(s):  
M S Beck ◽  
N E Gough ◽  
J N Smithies
Keyword(s):  
Cross Correlation ◽  
Pulse Width Modulation ◽  
Correlation Method ◽  
Temperature Fluctuations ◽  
Flow Rates ◽  
Start Up ◽  
On Line ◽  
Measured Flow ◽  
Novel Method ◽  
Modulation Control

A novel method of controlling the flow rates of fluids has been devised which is particularly suitable for highly erosive fluids and slurries. The width of pulses in a pulse train actuating an on-off valve is modulated according to the error between the desired and measured flow rates and thus the ratio of the total times the valve spends in its ‘on’ and ‘off’ states is varied. The method has been tested with an on-line computer which was used to measure the flow rate of water by a cross-correlation method to determine the transit time of temperature fluctuations between two thermocouples in the pipe, and to implement the pulse width modulation control. Satisfactory results have been obtained for start-up, set-point changes and load disturbances for flow rates in the turbulent region (Re > 3 600). Future development includes the use of a fluidic diverter as the on-off device.

ZERO-CROSS INSTANTANEOUS STATE SETTING FOR CONTROL OF A BIFURCATING H-BRIDGE INVERTER

2007 ◽  
Vol 17 (10) ◽  
pp. 3571-3575 ◽  
Author(s):  
SATOSHI AKATSU ◽  
HIROYUKI TORIKAI ◽  
TOSHIMICHI SAITO
Keyword(s):  
Pulse Width Modulation ◽  
Control Method ◽  
Period Doubling ◽  
Current Mode ◽  
Nonlinear Phenomena ◽  
Unstable Periodic Orbits ◽  
Bifurcation And Chaos ◽  
Zero Crossing ◽  
Modulation Signal ◽  
A Current

This paper studies stabilization of low-period unstable periodic orbits (UPOs) in a simplified model of a current mode H-bridge inverter. The switching of the inverter is controlled by pulse-width modulation signal depending on the sampled inductor current. The inverter can exhibit rich nonlinear phenomena including period doubling bifurcation and chaos. Our control method is realized by instantaneous opening of inductor at a zero-crossing moment of an objective UPO and can stabilize the UPO instantaneously as far as the UPO crosses zero in principle. Typical system operations can be confirmed by numerical experiments.

scholarly journals Easy-Riding Compact Electric Shopping Vehicle

2021 ◽  
Vol 33 (5) ◽  
pp. 1178-1189
Author(s):  
Takeharu Hayashi ◽  
Yoshihiko Takahashi ◽  
Satoru Yamaguchi ◽  
◽  
Keyword(s):  
Electric Power ◽  
Electric Vehicle ◽  
Pulse Width ◽  
Pulse Width Modulation ◽  
Standing Position ◽  
Power Source ◽  
Sitting Position ◽  
Speed Controller ◽  
Experimental Vehicle ◽  
Modulation Control

We are developing a small compact electric vehicle for shopping purposes. In this study, we fabricated an experimental vehicle, that uses only six small rechargeable AA batteries (7.2 V, approximately 2 A·h) as an electric power source. The vehicle user can select between two driving positions: standing and sitting. A compact transmission with a 90-W DC motor and a speed controller that uses pulse width modulation control was designed as an actuating system. Running experiments were conducted to observe the performance of the fabricated vehicle on a flat floor in a gymnasium. The fabricated vehicle was able to operate for 52 min at a speed of 2.73 km/h. The getting-on and getting-off processes in the vehicle were repeated many times during shopping. The human leg strain while getting on and off the vehicle was investigated by electromyogram measurement. During the getting-on and getting-off processes in the vehicle, the myoelectric potential of the quadriceps increased in the sitting position but did not increase in the standing position. The experimental results show that a user suffers more strain in the sitting position than in the standing position.

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