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.

scholarly journals HOPF BIFURCATION AS AN INTERMEDIATE-SCALE INSTABILITY IN SINGLE-STAGE POWER-FACTOR-CORRECTION POWER SUPPLIES: ANALYSIS, SIMULATIONS AND EXPERIMENTAL VERIFICATION

2008 ◽  
Vol 18 (07) ◽  
pp. 2095-2109 ◽  
Author(s):  
DONG DAI ◽  
CHI K. TSE ◽  
BO ZHANG ◽  
XIKUI MA
Keyword(s):  
Hopf Bifurcation ◽  
Power Factor ◽  
Power Factor Correction ◽  
Harmonic Distortion ◽  
Underlying Mechanism ◽  
Buck Converter ◽  
Single Stage ◽  
Intermediate Scale ◽  
The Stability ◽  
Conduction Mode

This paper reports intermediate-scale instability in a single-stage power-factor-correction (PFC) power supply that employs a cascade configuration of a boost stage operating in discontinuous conduction mode (DCM) and a forward stage operating in continuous conduction mode (CCM). The two stages combine into a single stage by sharing one main switch and one control loop to achieve input PFC and tight output regulation. The main results are given by "exact" cycle-by-cycle circuit simulations. The effect of the intermediate-scale instability on the attainable power factor is illustrated in terms of total harmonic distortion (THD) which is found by taking the Fast Fourier Transform (FFT) of the input current. The intermediate-scale instability usually manifests itself as local oscillations within a line cycle. Based on the stability analysis of a buck converter operating in CCM, the underlying mechanism of such instability can be attributed to the Hopf bifurcation that occurred in CCM forward stage. Finally, experimental results are presented for verification purposes.

Design-Oriented Analysis of Slow-Scale Bifurcations in Single Phase DC–AC Inverters via Autonomous Transformation Approach

2017 ◽  
Vol 27 (06) ◽  
pp. 1750086 ◽  
Author(s):  
Hao Zhang ◽  
Honghui Ding ◽  
Chuanzhi Yi
Keyword(s):  
Theoretical Analysis ◽  
Circuit Design ◽  
Single Phase ◽  
Underlying Mechanism ◽  
System Stability ◽  
Equivalent Model ◽  
Eigenvalue Sensitivity ◽  
Physical Experiments ◽  
Averaged Model ◽  
Theoretical Results

This paper deals with the design-oriented analysis of slow-scale bifurcations in single phase DC–AC inverters. Since DC–AC inverter belongs to a class of nonautonomous piecewise systems with periodic equilibrium orbits, the original averaged model has to be translated into an equivalent autonomous one via a virtual rotating coordinate transformation in order to simplify the theoretical analysis. Based on the virtual equivalent model, eigenvalue sensitivity is used to estimate the effect of the important parameters on the system stability. Furthermore, theoretical analysis is performed to identify slow-scale bifurcation behaviors by judging in what way the eigenvalue loci of the Jacobian matrix move under the variation of some important parameters. In particular, the underlying mechanism of the slow-scale unstable phenomenon is uncovered and discussed thoroughly. In addition, some behavior boundaries are given in the parameter space, which are suitable for optimizing the circuit design. Finally, physical experiments are performed to verify the above theoretical results.

Impact of Overspeed Protection Control on Stability for Islanded Power System

2009 ◽  
Vol 10 (4) ◽  
Author(s):  
Lin Gao ◽  
Yiping Dai
Keyword(s):  
Power System ◽  
Mathematic Model ◽  
System Stability ◽  
Equipment Failure ◽  
Frequency Oscillation ◽  
Main System ◽  
Electric Equipment ◽  
The Stability

Islanded power system can be formed by unexpected electric equipment failure or initiative breaking off of a main system avoiding a whole collapse. Unbalanced power between generation and load may cause an overspeed of the units and trigger the action of Overspeed Protection Controller (OPC) which is mainly designed for a load rejection condition. The mathematic model was built to simulate the islanded system stability with the effect of OPC. The simulation reproduced the power and frequency oscillation as the accidents. The results show a great impact of OPC on the stability of an islanded system. Modified OPC logic was proposed to avoid the oscillation and increase the stability.

scholarly journals Multiple-Loop Control Design for a Single-Stage PV-Fed Grid-Tied Differential Boost Inverter

2020 ◽  
Vol 10 (14) ◽  
pp. 4808 ◽  
Author(s):  
Abdelali El Aroudi ◽  
Reham Haroun ◽  
Mohamed Al-Numay ◽  
Meng Huang
Keyword(s):  
Power Factor ◽  
Power Factor Correction ◽  
Control Design ◽  
Domain Model ◽  
Single Stage ◽  
Signal Frequency ◽  
Current Loop ◽  
Static Approximation ◽  
Grid Current ◽  
Averaged Model

This paper focuses on the control design of a differential boost inverter when used in single-stage grid-tied PV systems. The inverter performs both Maximum Power Point Tracking (MPPT) at the DC side and Power Factor Correction at the AC side. At first, the state-space time-domain averaged model of the inverter is derived and the small signal frequency domain model is obtained using a quasi-static approximation in which the inverter is treated as a DC–DC converter with a slowly varying output voltage. Then, the controllers are designed using a three-loop strategy in which the inverter inductor currents loop is used for suitable compensation, the DC Photovoltaic (PV) voltage loop is used for MPPT and the output grid current loop is used for Power Factor Correction (PFC) and active power control. The selection of the control parameters is based on a compromise among suitable system performances such as settling time of the input PV voltage, the sampling period of the MPPT, total harmonic distortion of the output grid current, power factor as well as suppression of subharmonic oscillation for all the range of the operating duty cycle. The resulting design ensures that the oscillations of the voltage, current and power at the DC side and the grid current at the AC side are effectively controlled. The validity of the proposed control design is verified by numerical simulations performed on the switched model of the system demonstrating its robustness and fast response under irradiance variations and MPPT perturbations despite the nonlinearity and complexity of the system.

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.

A Shunt Active Filter Based on Voltage Detection for Harmonic Filtering and Resonance Suppression

2013 ◽  
Vol 457-458 ◽  
pp. 1113-1117
Author(s):  
Ying Yu Liang ◽  
Xing Tao Xu ◽  
Jian Zheng Liu ◽  
Yi Wang ◽  
Qi Xun Yang
Keyword(s):  
Power Factor ◽  
Control Method ◽  
Power Factor Correction ◽  
Control Methods ◽  
Harmonic Compensation ◽  
Shunt Active Filter ◽  
Point Of Common Coupling ◽  
Common Coupling ◽  
The Stability ◽  
Harmonic Filtering

In most occasions shunt APFs and capacitors used for power factor correction exist simultaneously in the distribution network for saving costs. Ideally, APFs are used for harmonics filtering and capacitors are used for power factor correction. However, traditional control methods of APF have potential risk of resonance, affecting the stability and the effect of harmonic compensation, if the detected current contains capacitive current. This paper proposes a new control method based on voltage detection of point of common Coupling(PCC). Theoretical analysis and simulation demonstrate the new control method has functions of resonance suppression and harmonic filtering

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