To obtain efficient photovoltaic(PV)systems,optimum maximum power point tracking(MPPT)algorithms are inevitable.The efficiency of MPPT algorithms depends on two MPPT parameters,i.e.,perturbation amplitude and perturba...To obtain efficient photovoltaic(PV)systems,optimum maximum power point tracking(MPPT)algorithms are inevitable.The efficiency of MPPT algorithms depends on two MPPT parameters,i.e.,perturbation amplitude and perturbation period.The optimization of MPPT algorithms affect both the tracking speed and steady-state oscillation.In this paper,optimization methods of MPPT parameters are reviewed and classified into fixed and variable methods.The fixed MPPT parameters are constant during MPPT performance,and a trade-off should be made between the tracking speed and steady-state oscillation.However,the variable MPPT parameters will be changed to improve both the tracking speed and the steadystate oscillations.Moreover,some of them are simulated,compared,and discussed to evaluate the real contributions of the optimization methods to the MPPT efficiency.Furthermore,significant features of the optimization methods,i.e.,noise immunity,robustness,and computation effort,are investigated.展开更多
We theoretically analyze the organizing filament of small amplitude scroll waves in general excitable media by perturbation method and explicitly give the expressions of coefficients in Keener theory. In particular fo...We theoretically analyze the organizing filament of small amplitude scroll waves in general excitable media by perturbation method and explicitly give the expressions of coefficients in Keener theory. In particular for the excitable media with equal diffusion, we obtain a close system for the motion of the filament. With an example of the Oregonator model, our results are in good agreement with those simulated by Winfree.展开更多
The classical planar Richtmyer–Meshkov instability(RMI) at a fluid interface supported by a constant pressure is investigated by a formal perturbation expansion up to the third order,and then according to definition ...The classical planar Richtmyer–Meshkov instability(RMI) at a fluid interface supported by a constant pressure is investigated by a formal perturbation expansion up to the third order,and then according to definition of nonlinear saturation amplitude(NSA) in Rayleigh–Taylor instability(RTI),the NSA in planar RMI is obtained explicitly.It is found that the NSA in planar RMI is affected by the initial perturbation wavelength and the initial amplitude of the interface,while the effect of the initial amplitude of the interface on the NSA is less than that of the initial perturbation wavelength.Without marginal influence of the initial amplitude,the NSA increases linearly with wavelength.The NSA normalized by the wavelength in planar RMI is about 0.11,larger than that corresponding to RTI.展开更多
This paper describes analytical and numerical methods to analyze the steady state periodic response of an oscillator with symmetric elastic and inertia nonlinearity. A new implementation of the homotopy perturbation m...This paper describes analytical and numerical methods to analyze the steady state periodic response of an oscillator with symmetric elastic and inertia nonlinearity. A new implementation of the homotopy perturbation method （HPM） and an ancient Chinese method called the max-rain approach are presented to obtain an approximate solution. The major concern is to assess the accuracy of these approximate methods in predicting the system response within a certain range of system parameters by examining their ability to establish an actual （numerical） solution. Therefore, the analytical results are compared with the numerical results to illustrate the effectiveness and convenience of the proposed methods.展开更多
A nonlinear frequency-amplitude relation is developed to investigate the vibrational amplitude effect on the dynamic pull-in instability of double-sided-actuated nano-torsional switches. The governing equation of a na...A nonlinear frequency-amplitude relation is developed to investigate the vibrational amplitude effect on the dynamic pull-in instability of double-sided-actuated nano-torsional switches. The governing equation of a nano-electro-mechanical system pre-deformed by an electric field contains the quintic nonlinear term. The influences of basic parameters on the pull-in instability and natural frequency are investigated using a powerful analytical approach called the homotopy perturbation method. It is demonstrated that two terms in series expansion are sufficient to produce an acceptable solution. The numerical results obtained have verified the soundness of the asymptotic procedure. The phase portraits of the double-sided nano-torsionalactuator exhibit periodic, homoclinic and heteroclinic orbits.展开更多
文摘To obtain efficient photovoltaic(PV)systems,optimum maximum power point tracking(MPPT)algorithms are inevitable.The efficiency of MPPT algorithms depends on two MPPT parameters,i.e.,perturbation amplitude and perturbation period.The optimization of MPPT algorithms affect both the tracking speed and steady-state oscillation.In this paper,optimization methods of MPPT parameters are reviewed and classified into fixed and variable methods.The fixed MPPT parameters are constant during MPPT performance,and a trade-off should be made between the tracking speed and steady-state oscillation.However,the variable MPPT parameters will be changed to improve both the tracking speed and the steadystate oscillations.Moreover,some of them are simulated,compared,and discussed to evaluate the real contributions of the optimization methods to the MPPT efficiency.Furthermore,significant features of the optimization methods,i.e.,noise immunity,robustness,and computation effort,are investigated.
文摘We theoretically analyze the organizing filament of small amplitude scroll waves in general excitable media by perturbation method and explicitly give the expressions of coefficients in Keener theory. In particular for the excitable media with equal diffusion, we obtain a close system for the motion of the filament. With an example of the Oregonator model, our results are in good agreement with those simulated by Winfree.
基金Supported by the National Natural Science Foundation of China under Grant Nos.11472278 and 11372330the Scientific Research Foundation of Education Department of Sichuan Province under Grant No.15ZA0296+1 种基金the Scientific Research Foundation of Mianyang Normal University under Grant Nos.QD2014A009 and 2014A02the National High-Tech ICF Committee
文摘The classical planar Richtmyer–Meshkov instability(RMI) at a fluid interface supported by a constant pressure is investigated by a formal perturbation expansion up to the third order,and then according to definition of nonlinear saturation amplitude(NSA) in Rayleigh–Taylor instability(RTI),the NSA in planar RMI is obtained explicitly.It is found that the NSA in planar RMI is affected by the initial perturbation wavelength and the initial amplitude of the interface,while the effect of the initial amplitude of the interface on the NSA is less than that of the initial perturbation wavelength.Without marginal influence of the initial amplitude,the NSA increases linearly with wavelength.The NSA normalized by the wavelength in planar RMI is about 0.11,larger than that corresponding to RTI.
文摘This paper describes analytical and numerical methods to analyze the steady state periodic response of an oscillator with symmetric elastic and inertia nonlinearity. A new implementation of the homotopy perturbation method （HPM） and an ancient Chinese method called the max-rain approach are presented to obtain an approximate solution. The major concern is to assess the accuracy of these approximate methods in predicting the system response within a certain range of system parameters by examining their ability to establish an actual （numerical） solution. Therefore, the analytical results are compared with the numerical results to illustrate the effectiveness and convenience of the proposed methods.
文摘A nonlinear frequency-amplitude relation is developed to investigate the vibrational amplitude effect on the dynamic pull-in instability of double-sided-actuated nano-torsional switches. The governing equation of a nano-electro-mechanical system pre-deformed by an electric field contains the quintic nonlinear term. The influences of basic parameters on the pull-in instability and natural frequency are investigated using a powerful analytical approach called the homotopy perturbation method. It is demonstrated that two terms in series expansion are sufficient to produce an acceptable solution. The numerical results obtained have verified the soundness of the asymptotic procedure. The phase portraits of the double-sided nano-torsionalactuator exhibit periodic, homoclinic and heteroclinic orbits.
