scholarly journals Performance Analysis of a Peak-Current Mode Control with Compensation Ramp for a Boost-Flyback Power Converter

2016 ◽  
Vol 2016 ◽  
pp. 1-14 ◽  
Author(s):  
Juan-Guillermo Muñoz ◽  
Guillermo Gallo ◽  
Gustavo Osorio ◽  
Fabiola Angulo
Keyword(s):  
Closed Loop ◽  
Power Converters ◽  
Monodromy Matrix ◽  
Current Mode ◽  
Power Converter ◽  
Dynamical Analysis ◽  
Dynamical Equations ◽  
Peak Current ◽  
Operation Conditions ◽  
The Stability

High voltage gain power converters are very important in photovoltaic applications mainly due to the low output voltage of photovoltaic arrays. This kind of power converters includes three or more semiconductor devices and four or more energy storage elements, making the dynamical analysis of the controlled system more difficult. In this paper, the boost-flyback power converter is controlled by peak-current mode with compensation ramp. The closed-loop analysis is performed to guarantee operation conditions such that a period-1 orbit is attained. The converter is considered as a piecewise linear system, and the closed-loop stability is determined by using the monodromy matrix, obtained by the composition of the saltation matrixes with the solutions of the dynamical equations in the linear intervals. The largest eigenvalue of the monodromy matrix gives the stability of the period-1 orbit, and a deep analysis using bifurcation diagrams let us reach a conclusion about the loss of the stability, which is experimentally verified. To avoid overcompensation effects, the minimum value required by the compensation ramp is obtained, and the minimum and maximum values of the load resistance are found too. The system has a good transient response under disturbances in the load and in the input voltage.

scholarly journals Slope Compensation Design for a Peak Current-Mode Controlled Boost-Flyback Converter

Energies ◽  
2018 ◽  
Vol 11 (11) ◽  
pp. 3000 ◽  
Author(s):  
Juan-Guillermo Muñoz ◽  
Guillermo Gallo ◽  
Fabiola Angulo ◽  
Gustavo Osorio
Keyword(s):  
High Efficiency ◽  
Monodromy Matrix ◽  
Current Mode ◽  
Power Converter ◽  
Stability Range ◽  
Peak Current ◽  
Analytical Expression ◽  
Flyback Converter ◽  
Coupled Inductors ◽  
The Stability

Peak current-mode control is widely used in power converters and involves the use of an external compensation ramp to suppress undesired behaviors and to enhance the stability range of the Period-1 orbit. A boost converter uses an analytical expression to find a compensation ramp; however, other more complex converters do not use such an expression, and the corresponding compensation ramp must be computed using complex mechanisms. A boost-flyback converter is a power converter with coupled inductors. In addition to its high efficiency and high voltage gains, this converter reduces voltage stress acting on semiconductor devices and thus offers many benefits as a converter. This paper presents an analytical expression for computing the value of a compensation ramp for a peak current-mode controlled boost-flyback converter using its simplified model. Formula results are compared to analytical results based on a monodromy matrix with numerical results using bifurcations diagrams and with experimental results using a lab prototype of 100 W.

scholarly journals Stability Analysis in Positive Output and Negative Output DC to DC Converters Used in Renewable Energy Applications

2019 ◽  
Author(s):  
Maheswari Ellappan ◽  
Kavitha Anbukumar
Keyword(s):  
Renewable Energy ◽  
Stability Analysis ◽  
Output Voltage ◽  
Monodromy Matrix ◽  
Period Doubling ◽  
Current Mode ◽  
Power Converter ◽  
Control Technique ◽  
Step Down ◽  
The Stability

The renewable energy source plays a major role in the grid side power production. The stability analysis is very essential in the renewable energy converters. In this paper the bifurcation is analyzed in ZETA converter and Continuous input and output(CIO) power Buck Boost converter. The ZETA converter gives positive step down and step up output voltage and the CIO power converter gives the negative step up and step down output voltage. These converters are used in the DC micro grid with renewable energy as the source. The current mode control technique is applied to analyze the bifurcation behavior and the reference current is taken as the bifurcation parameter. When the reference current is varied, both the converters loses its stability and it enters into chaotic region through period doubling bifurcation. The simulation results are presented to study the performance behavior of both the converters. The stability region of both the converters are determined by deriving the Monodromy matrix approach.

Design of the Controller for PCMC Forward Converters

2012 ◽  
Vol 591-593 ◽  
pp. 1535-1538
Author(s):  
Wen Zhang ◽  
Jia Xiang Xue ◽  
Hong Bo Jiang
Keyword(s):  
Closed Loop ◽  
Averaging Method ◽  
Current Mode ◽  
Signal Model ◽  
Peak Current ◽  
Simulink Model ◽  
Small Signal Model ◽  
Theoretical Predictions ◽  
Forward Converters ◽  
The Stability

The work characteristics of forward converters are described. Presented the theoretical and practical details by means of the state space averaging method, the small signal model of forward converters under peak current mode controlled is constructed. The design of the controller is given to be used in this converter with the maximum control bandwidth of 10 kHz as well as an adequate phase margin. A closed loop simulink model for the converter is constructed on Matlab and the stability and dynamical performance demonstrated. The theoretical predictions of this paper are supported by computer simulations graphically represented and analyzed as practical evidences. Simulation results show the feasibility of the design, thus providing a solution seamless implemented the applications of peak current mode controlled forward converters.

Dynamical analysis for cylindrical geometry in non-minimally coupled f(R,T) gravity

2021 ◽  
Author(s):  
M. Z. Bhatti ◽  
Z. Yousaf ◽  
M. Yousaf
Keyword(s):  
Perturbation Technique ◽  
Dynamical Behavior ◽  
Momentum Tensor ◽  
Dynamical Analysis ◽  
Dynamical Equations ◽  
Physical Constraints ◽  
Cylindrical System ◽  
Modified Gravity Theory ◽  
The Stability ◽  
Tensor Formula

This paper aims to investigate the stability constraints under the influence of particular modified gravity theory [Formula: see text], i.e. [Formula: see text] gravity in which the Lagrangian is a varying function of [Formula: see text] and trace of energy momentum tensor ([Formula: see text]). We examine stable behavior for compact cylindrical star having anisotropic symmetric configuration. We establish dynamical equations as well as equations of continuity in the background of this particular non-minimal coupled [Formula: see text]. We utilize perturbation technique which will be applied on geometrical as well as material physical quantities to constitute collapse equation. We continue this significant investigation to understand the dynamical behavior of considered cylindrical system under non-minimal coupled [Formula: see text] functional, i.e. [Formula: see text]. This gravitational function gives compatible findings only for [Formula: see text], also [Formula: see text] and [Formula: see text] considered in this astrophysical model as coupling entity. This model contains [Formula: see text] which is constant entity, having the values of order of the effective Ricci scalar [Formula: see text]. Furthermore, we impose some physical constraints to determine and maintain the stability criteria by establishing the expression of adiabatic index, i.e. [Formula: see text] for cylindrical anisotropic configuration, in Newtonian [Formula: see text] and post-Newtonian ([Formula: see text]) eras.

scholarly journals Selection and Validation of Mathematical Models of Power Converters using Rapid Modeling and Control Prototyping Methods

2018 ◽  
Vol 8 (3) ◽  
pp. 1551 ◽  
Author(s):  
Fredy Edimer Hoyos ◽  
John Edwin Candelo ◽  
John Alexander Taborda
Keyword(s):  
Power Converters ◽  
Experimental Tests ◽  
Power Converter ◽  
Buck Converter ◽  
Experimental Results ◽  
Mathematical Representation ◽  
Modeling And Control ◽  
Rapid Control Prototyping ◽  
The Stability ◽  
And Control

This paper presents a methodology based on two interrelated rapid prototyping processes in order to find the best correspondence between theoretical, simulated, and experimental results of a power converter controlled by a digital PWM. The method supplements rapid control prototyping (RCP) with effective math tools to quickly select and validate models of a controlled system. We show stability analysis of the classical and two modified buck converter models controlled by zero average dynamics (ZAD) and fixed-point induction control (FPIC). The methodology consists of obtaining the mathematical representation of power converters with the controllers and the Lyapunov Exponents (LEs). Besides, the theoretical results are compared with the simulated and experimental results by means of one- and two-parameter bifurcation diagrams. The responses of the three models are compared by changing the parameter K_s of the ZAD and the parameter N of the FPIC. The results show that the stability zones, periodic orbits, periodic bands, and chaos are obtained for the three models, finding more similarities between theoretical, simulated, and experimental tests with the third model of the buck converter with ZAD and FPIC as it considers more parameters related to the losses in different elements of the system. Additionally, the intervals of the chaos are obtained by using the LEs and validated by numerical and experimental tests

Sign in / Sign up

Export Citation Format

Share Document