| Memristor,as its name implies,is a non-linear resistor with memory function.It is widely used in various circuit research due to its small size,low energy consumption and non-volatility.The appearance of the memristor has created a new development space for the design of various electronic circuits,and has greatly impacted the traditional circuit pattern.In order to make full use of the advantages and characteristics of the memristor,this paper applies the memristor as a new type of load to the traditional current-type DC-DC converter,and studies the influence of the memristor constituent parameters on the dynamic characteristics of the converter.And based on the slope compensation control technology,the DC-DC converter with memristive load is implemented periodic stabilization control.The specific research work is as follows:(1)A voltage-type memristor equivalent circuit is built on the PSIM simulation software platform,and the volt-ampere characteristic curve of the memristor is obtained through circuit simulation.The results show that the voltage-type memristor meets the basic characteristics of the memristor,which can be used to study memristive circuits.(2)The dynamic characteristics of the peak current Buck converter with memristive load are studied,and the switching conditions and normalized system model of the memristive Buck converter in continuous conduction mode(CCM)are derived.On this basis,a dynamic analysis was carried out,and it was found that with the increase of the reference current,the system showed a closed orbit of period 1 and a chaotic attractor on the plane phase diagram.Subsequently,through the bifurcation diagram,it is found that the period-doubling bifurcation point of the Buck converter when operating with a memristive load is obviously lagging compared with that of a pure resistive load,that is,the stable period 1 interval of the memristive Buck converter is wider.The article then analyzes the output voltage of the memristive Buck converter.It is different from the case of carrying a resistive load.The simulation results show that the output voltage of the Buck converter is mainly affected by the parameters of the memristor,while the change of the converter’s input voltage has little effect on it.(3)Based on the traditional current-type Cuk converter,a novel non-linear switching circuit is constructed using a voltage-controlled memristor as the load.Using common chaotic dynamics analysis methods,the dynamic phenomena of the system are analyzed,and it is found that the system also enters the chaotic state through two bifurcation routes of period-doubling bifurcation and boundary collision bifurcation.Through the bifurcation diagram analysis of the duty cycle,it is found that the system is bifurcation of period-doubling when the duty cycle is about 0.5.Furthermore,based on the conservation of energy,the expressions of the various parameters of the circuit when the critical period-doubling bifurcation occurs in the system are derived,and the stable parameter domain of the three main parameters of the converter with respect to the reference current,the input voltage and the memristive parameter is obtained.Subsequently,a ramp signal generator is added to the control circuit of the memristive Cuk converter,and the stabilization effect of the compensation signal of different slopes on the converter is discussed.The results show that the slope compensation control can significantly improve the chaotic state in the Cuk converter.It can expand the singlecycle operation range of the converter and reduce the output ripple at the same time.Finally,the PSIM circuit simulation of the converter is carried out,and the experimental results obtained are consistent with the numerical analysis results of MATLAB. |
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