Transfer function modeling and analysis of the open-loop Buck converter using the fractional calculus

2013 ◽  
Vol 22 (3) ◽  
pp. 030506 ◽  
Author(s):  
Fa-Qiang Wang ◽  
Xi-Kui Ma
Keyword(s):  
Transfer Function ◽  
Fractional Calculus ◽  
Open Loop ◽  
Buck Converter ◽  
Modeling And Analysis

scholarly journals Modeling and Analysis of a PCM-Controlled Boost Converter Designed to Operate in DCM

Energies ◽  
2018 ◽  
Vol 12 (1) ◽  
pp. 4 ◽  
Author(s):  
Teuvo Suntio
Keyword(s):  
Dynamic Models ◽  
Control Method ◽  
Operation Mode ◽  
Current Mode ◽  
Boost Converter ◽  
Open Loop ◽  
Buck Converter ◽  
Small Signal ◽  
Modeling And Analysis ◽  
Power Stage

Peak current-mode (PCM) control has been a very popular control method in power electronic converters. The small-signal modeling of the dynamics associated with PCM control has turned out to be extremely challenging. Most of the modeling attempts have been dedicated to the converters operating in continuous conduction mode (CCM) and just a few to the converters operating in discontinuous operation mode (DCM). The DCM modeling method published in 2001 was proven recently to be very accurate when applied to a buck converter. This paper provides the small-signal models for a boost converter and analyses for the first time its real dynamic behavior in DCM. The objectives of this paper are as follows: (i) to provide the full-order dynamic models for the DCM-operated PCM-controlled boost converter; (ii) to analyze the accuracy of the full and reduced-order dynamic models; and iii) to verify the validity of the high-frequency extension applied in the DCM-operated PCM-controlled buck converter in the case of the boost converter. It is also shown that the DCM-operated boost converter can operate only in even harmonic modes, similar to all the CCM-operated PCM-controlled converters. In the case of the DCM-operated PCM-controlled buck converter, its operation in the odd harmonic modes is the consequence of an unstable pole in its open-loop power-stage dynamics.

A Fractional Calculus Perspective of PID Tuning

2003 ◽  
Author(s):  
Ramiro S. Barbosa ◽  
J. A. Tenreiro Machado ◽  
Isabel M. Ferreira
Keyword(s):  
Transfer Function ◽  
Fractional Calculus ◽  
Fractional Order ◽  
Pid Controller ◽  
Open Loop ◽  
Controller Tuning ◽  
Pid Tuning ◽  
Loop Transfer Function ◽  
Pid Controller Tuning ◽  
Fractional Order Integrator

This paper gives an interpretation of the classical PID controller tuning based on the fractional calculus theory. The PID parameters are calculated according with the specifications of an elementary system whose open-loop transfer function is a fractional order integrator (FOI). The performances of the two systems are compared and illustrated through the frequency and time responses.

The Control Technology of BUCK Converter

2012 ◽  
Vol 150 ◽  
pp. 240-244
Author(s):  
Kun Yang ◽  
Guo Qing Wu ◽  
Xu Dong Zhang
Keyword(s):  
Transfer Function ◽  
Simulation Model ◽  
State Space ◽  
Average Method ◽  
Closed Loop ◽  
Open Loop ◽  
Buck Converter ◽  
Control Technology ◽  
Closed Loop System ◽  
The Stability

The transfer function of the BUCK converter is proposed by using the state-space average method. The lead-lag network is used to optimize the stability of the closed-loop BUCK system. And the stability of the system has been greatly improved. At last the simulation model of the system is founded by using the Matlab software. Compared with the results of the simulation of open-loop and closed-loop system, the conclusion can be reached that the stability of the after- compensator system is greatly improved.

scholarly journals Stability Analysis and Optimal Design for Virtual Impedance of 48 V Server Power System for Data Center Applications

Energies ◽  
2020 ◽  
Vol 13 (20) ◽  
pp. 5253
Author(s):  
Chien-Chun Huang ◽  
Sheng-Li Yao ◽  
Huang-Jen Chiu
Keyword(s):  
Open Loop ◽  
Buck Converter ◽  
Output Impedance ◽  
Signal Model ◽  
Passive Components ◽  
The Past ◽  
Feedback Compensation ◽  
Series Systems ◽  
The Relationship ◽  
Virtual Impedance

In the past literature on virtual impedance to series systems, most of the discussion focused on stability without in-depth research on the system design of the series converter and the overall output impedance. Accordingly, this study takes an open-loop resonant LLC converter series-connected closed-loop Buck converter as an example. First, the conditions required for the direct connection of the small-signal model in the series, the effect of feedback compensation on the input impedance of the load stage, the operating frequency, and passive components of the two-stage converter are discussed in detail―the relationship between the matching and the output impedance. Afterwards, a mathematical model is used to discuss the effect of adding parallel virtual impedance on the output impedance of the overall series converter and then derive an optimized virtual impedance design. Finally, an experimental platform of 48 V to 12 V and maximum wattage of 96 W are implemented. The output impedance of the series converter is measured with an impedance analyzer to verify the theoretical analysis proposed in this paper.

Fractional Order Pole Placement for a buck converter based on commensurable transfer function

2020 ◽  
Vol 107 ◽  
pp. 370-384
Author(s):  
Florindo A. de C. Ayres ◽  
Iury Bessa ◽  
Vinicius Matheus Batista Pereira ◽  
Nei Junior da Silva Farias ◽  
Alessandra Ribeiro de Menezes ◽  
...  
Keyword(s):  
Transfer Function ◽  
Fractional Order ◽  
Buck Converter ◽  
Pole Placement ◽  
Order Pole

Robust Feedback Control of a Baffled Plate via Open-Loop Optimization

2001 ◽  
Vol 124 (1) ◽  
pp. 154-157 ◽  
Author(s):  
P. De Man ◽  
A. Franc¸ois ◽  
A. Preumont
Keyword(s):  
Genetic Algorithm ◽  
Control System ◽  
Transfer Function ◽  
Open Loop ◽  
Displacement Sensor ◽  
Search Procedure ◽  
Loop Optimization ◽  
Loop Transfer Function ◽  
Poles And Zeros ◽  
Siso System

A SISO control system is built by using a volume displacement sensor and a set of actuators driven in parallel with a single amplifier. The actuators location is optimized to achieve an open-loop transfer function which exhibits alternating poles and zeros, as for systems with collocated actuators and sensors; the search procedure uses a genetic algorithm. The ability of a simple lead compensator to control this SISO system is numerically demonstrated.

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