A novel approach to the stability analysis of boost power-factor-correction circuits

2002 ◽  
Author(s):  
S.K. Mazumder ◽  
A.H. Nayfeh ◽  
D. Borojevic
Keyword(s):  
Stability Analysis ◽  
Power Factor ◽  
Power Factor Correction ◽  
Novel Approach ◽  
The Stability

A novel approach to the stability analysis of conditionally stable circuits

2021 ◽  
Author(s):  
Valentin Beleca ◽  
Cosmin-Sorin Plesa ◽  
Raul Onet ◽  
Marius Neag
Keyword(s):  
Stability Analysis ◽  
Novel Approach ◽  
The Stability

A New Approach to the Stability Analysis of Boost Power-Factor-Correction Circuits

2003 ◽  
Vol 9 (7) ◽  
pp. 749-773 ◽  
Author(s):  
Sudip K. Mazumder ◽  
Ali H. Nayfeh
Keyword(s):  
Power Factor ◽  
Closed Loop ◽  
Power Factor Correction ◽  
Loop System ◽  
Switching Frequency ◽  
Sliding Surface ◽  
Closed Loop System ◽  
Line Voltage ◽  
Torus Breakdown ◽  
The Stability

We analyze the stability of a boost power-factor-correction (PFC) circuit using a hybrid model. We consider two multi-loop controllers to control the power stage. For each closed-loop system, we treat two separate cases: one for which the switching frequency is approaching infinity and the other for which it is finite but large. Unlike all previous analyses, the analysis in this paper investigates the stability of the converter in the saturated and unsaturated regions of operation. Using concepts of discontinuous systems, we show that the global existence of a smooth hypersurface for the boost PFC circuit is not possible. Subsequently, we develop conditions for the local existence of each of the closed-loop systems using a Lyapunov function. In other words, we derive the conditions for which a trajectory will reach a smooth hypersurface. If the trajectories do not reach the sliding surface, then the system saturates. As such, the stability of the period-one orbit is lost. Using the conditions for existence and the concept of equivalent control, we show why, for the second closed-loop system, the onset of the fast-scale instability occurs when the inductor current approaches zero. For this system, we show that the onset of the fast-scale instability near zero-inductor current occurs for a lower line voltage. Besides, when the peak of the line voltage approaches the bus voltage, the fast-scale instability may occur not only at the peak but also when the inductor current approaches zero. We develop a condition which ensures that the saturated region does not have any stable orbits. As such, a solution that leaves the sliding surface (if existence fails) cannot stabilize in the saturated region. Finally, we extend the analysis to the case in which the converter operates with a finite but large switching frequency. As such, the system has two fundamental frequencies: the switching and line frequencies. Hence, the dynamics of the system evolve on a torus. We show two different approaches to obtaining a solution for the closed-loop system. For the second closed-loop system, using the controller gain for the current loop as a bifurcation parameter, we show (using a Poincaré map) the mechanism of the torus breakdown. If the mechanism of the torus breakdown is known, then, depending on the post-instability dynamics, a designer can optimize the design of the closed-loop converter.

BIFURCATION BEHAVIOR OF A POWER-FACTOR-CORRECTION BOOST CONVERTER

2003 ◽  
Vol 13 (10) ◽  
pp. 3107-3114 ◽  
Author(s):  
OCTAVIAN DRANGA ◽  
CHI K. TSE ◽  
HERBERT H. C. IU ◽  
ISTVÁN NAGY
Keyword(s):  
Computer Simulations ◽  
Power Factor ◽  
Power Factor Correction ◽  
Current Mode ◽  
Analytical Investigation ◽  
Boost Converter ◽  
Stable Operation ◽  
The Stability ◽  
Parameter Values ◽  
Bifurcation Behavior

The aim of the paper is to investigate the bifurcation behavior of the power-factor-correction (PFC) boost converter under a conventional peak current-mode control. The converter is operated in continuous-conduction mode. The bifurcation analysis performed by computer simulations reveals interesting effects of variation of some chosen parameters on the stability of the converter. The results are illustrated by time-domain waveforms, discrete-time maps and parameter plots. An analytical investigation confirms the results obtained by computer simulations. Such an analysis allows convenient prediction of stability boundaries and facilitates the selection of parameter values to guarantee stable operation.

Intermediate-Frequency Oscillation Behavior of One-Cycle Controlled SEPIC Power Factor Correction Converter via Floquet Multiplier Sensitivity Analysis

2016 ◽  
Vol 26 (10) ◽  
pp. 1650163 ◽  
Author(s):  
Hao Zhang ◽  
Shuai Dong ◽  
Yuan Zhang ◽  
Bo He
Keyword(s):  
Power Factor ◽  
Power Factor Correction ◽  
Monodromy Matrix ◽  
Intermediate Frequency ◽  
Underlying Mechanism ◽  
System Stability ◽  
Floquet Multiplier ◽  
Frequency Oscillation ◽  
The Stability ◽  
Averaged Model

In this paper, we investigate the intermediate-frequency oscillation in a SEPIC power-factor-correction (PFC) converter under one-cycle control. The converter operates in continuous conduction mode (CCM). A systematic method is proposed to analyze the bifurcation behavior and explain the inherent physical mechanism of the intermediate-frequency oscillation. Based on the nonlinear averaged model, the approximate analytical expressions of the nominal periodic equilibrium state are calculated with the help of Galerkin approach. Then, the stability of the system is judged by the Floquet theory and the Floquet multiplier movement of the monodromy matrix is analyzed to reveal the underlying mechanism of the intermediate-frequency oscillation behavior. In addition, Floquet multiplier sensitivity is proposed to facilitate the selection of key parameters with respect to system stability so as to guide the optimal design of the system. Finally, PSpice circuit experiments are performed to verify the above theoretical and numerical ones.

Green energy transaction assessment on individual customer based on power factor correction coefficient

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Puneet Raj ◽  
Kirti Pal
Keyword(s):  
Power Factor ◽  
Power Flow ◽  
Reactive Power ◽  
Power Factor Correction ◽  
Green Energy ◽  
Correction Coefficient ◽  
Transmission Pricing ◽  
Transmission Cost ◽  
Novel Approach ◽  
Reactive Power Flow

Abstract In this paper Power factor correction coefficient based transmission pricing is proposed to analyze an individual customer’s effect due to green energy transactions in existing power system. In this novel approach power factor correction coefficient is calculated for each customer under every transaction. This power factor correction coefficient is then added in conventional embedded cost distance based MW-mile and MVA-mile method for transmission pricing calculation for both active and reactive power flow through transmission line. This new proposed transmission pricing method calculate transmission charges for each customer and also help an ISO (independent system operator) to decide whether transaction increases or decreases the transmission cost. On the basis of performance of transaction an ISO can penalize or reward them. Proposed analysis is implemented on a 3-area IEEE-30 bus system with seven tie-lines in MATLAB environment. To show the effectiveness of the proposed method the results are compared with and without power factor correction based transmission pricing for each customer.

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