Control of Fast Scale Bifurcations in Power-Factor Correction Converters

Giaouris, Damian; Banerjee, Soumitro; Zahawi, Bashar; Pickert, Volker

doi:10.1109/tcsii.2007.900350

Cited by 64 publications

(36 citation statements)

References 17 publications

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“…Therefore, the state transition matrices for these two intervals are In order to evaluate these, one needs to know the duty ratio. This can be obtained following [5,20,26,27] using the Newton-Raphson method. Alternatively, one can use any standard simulator to obtain the stable behavior, from which the information about d can be extracted.…”

Section: Continuous Conduction Modementioning

confidence: 99%

Application of Filippov method for the analysis of subharmonic instability in dc–dc converters

Giaouris

Maity

Banerjee

et al. 2008

Circuit Theory & Apps

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102

115

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SUMMARYWe propose a method of estimating the fast-scale stability margin of dc-dc converters based on Filippov's theory-originally developed for mechanical systems with impacts and stick-slip motion. In this method one calculates the state transition matrix over a complete clock cycle, and the eigenvalues of this matrix indicate the stability margin. Important components of this matrix are the state transition matrices across the switching events, called saltation matrices. We applied this method to estimate the stability margins of a few commonly used converter and control schemes. Finally, we show that the form of the saltation matrix suggests new control strategies to increase the stability margin, which we experimentally demonstrate using a voltage-mode-controlled buck converter.

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Section: Continuous Conduction Modementioning

confidence: 99%

Application of Filippov method for the analysis of subharmonic instability in dc–dc converters

Giaouris

Maity

Banerjee

et al. 2008

Circuit Theory & Apps

Self Cite

102

115

View full text Add to dashboard Cite

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“…This change has to be taken into consideration in (13) and in (14) resulting in the following Jacobian matrix as follows…”

Section: Auxiliary State Vectormentioning

confidence: 99%

Analysis and compensation of oscillations in digitally controlled PFC converter

Stumpf¹,

Lörincz

Nágy

2013

IECON 2013 - 39th Annual Conference of the IEEE Industrial Electronics Society

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Power Factor Correction (PFC) converters belong to the variable structure piecewise linear systems due to the switching action. Their complex behaviour is intensively studied. Present paper represents a stability analysis method using the socalled auxiliary state vector to determine the Jacobian matrix of the Poincare Map Function (PMF) to calculate the critical angle where oscillations developes in the inductor current. The effect caused by the Zero-Order Hold, the digital computation delays and the nonideal circuit elements are taken into consideration. Furthermore by adding a stabilizing signal the stable range can be extended. The parameters of the stabilizing signal is also determined by the auxiliary state vector. The theoretic results are verified by simulation and the experiment results.

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“…Thus, the topologies, modeling, dynamical behaviors and control methods of the PFC converter have become the focal topics for research [1][2][3][4][5][6][7][8][9][10]. The Boost converter is a very ideal solution to provide PFC by taking into account the current stress and efficiency [1], and has received a great deal of attention.…”

Section: Introductionmentioning

confidence: 99%

Effect of the input filter on the low frequency stability of a Boost PFC converter: Theoretical analysis, simulation and experiment

Wang

Zhang

2011

2011 International Conference on Electronics, Communications and Control (ICECC)

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This paper presents a comprehensive analysis of the effect of the input filter on the low frequency stability of a Boost PFC converter. Firstly, a glimpse at the effect from the computer simulation is given. And then, based on the fact that the current compensator is designed well and what we considered is the low frequency stability, the simplified model of the system is derived and its approximate solution is calculated by using the harmonic balance (HB) method. Moreover, the stability of the obtained solution is identified via Floquet theory. Finally, the circuit experimental results are given to verify the theoretical analysis. It is found that the input filter can be used to make a favorable effect on the low frequency stability of a Boost PFC converter, i.e., enlarge the stable operation region of a Boost PFC converter. In one word, our work provides a supplementary view for engineers to deal with the interactions between the input filter and the Boost PFC converter.

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Control of Fast Scale Bifurcations in Power-Factor Correction Converters

Cited by 64 publications

References 17 publications

Application of Filippov method for the analysis of subharmonic instability in dc–dc converters

Application of Filippov method for the analysis of subharmonic instability in dc–dc converters

Analysis and compensation of oscillations in digitally controlled PFC converter

Effect of the input filter on the low frequency stability of a Boost PFC converter: Theoretical analysis, simulation and experiment

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