According to the fact that the actual inductor and actual capacitor are fractional, the mathematical and state-space averaging models of fractional order Buck converters in continuous conduction mode(CCM) are construc...According to the fact that the actual inductor and actual capacitor are fractional, the mathematical and state-space averaging models of fractional order Buck converters in continuous conduction mode(CCM) are constructed by using fractional calculus theory. Firstly, the parameter conditions that ensure that the converter working in CCM is given and transfer functions are derived. Also, the inductor current and the output voltage are analyzed. Then the difference between the mathematical model and the circuit model are analyzed, and the effect of fractional order is studied by comparing the integer order with fractional order model. Finally, the dynamic behavior of the current-controlled Buck converter is investigated. Simulation experiments are achieved via the use of Matlab/Simulink. The experimental results verify the correctness of theoretical analysis, the order should be taken as a significant parameter. When the order is taken as a bifurcation parameter, the dynamic behavior of the converter will be affected and bifurcation points will be changed as order varies.展开更多
为研究减小单电感双输出(single-inductor dual-output,SIDO)Buck变换器输出支路间交叉影响的控制方法,该文以工作于电感电流连续导电模式(continue conduction mode,CCM)的SIDO Buck变换器为研究对象,描述其工作原理和开关状态,推导出...为研究减小单电感双输出(single-inductor dual-output,SIDO)Buck变换器输出支路间交叉影响的控制方法,该文以工作于电感电流连续导电模式(continue conduction mode,CCM)的SIDO Buck变换器为研究对象,描述其工作原理和开关状态,推导出状态空间平均模型,并建立了SIDO CCM Buck变换器的功率级小信号模型。在此基础上,提出电容电流–电容电压纹波控制(capacitor current and capacitor voltage ripple controlled,CCVR) SIDO CCM Buck变换器,对其控制原理进行阐述,并建立了小信号模型。进一步地,分析了变换器输出支路间的交叉影响。结果表明:相比传统峰值电流型控制(peak current mode controlled,PCM) SIDO CCM Buck变换器,CCVR SIDO CCM Buck变换器可有效减小输出支路间的交叉影响。最后,由设计的CCVR SIDO CCM Buck变换器实验电路,验证了理论分析的正确性。展开更多
Tangent bifurcation is a special bifurcation in nonlinear dynamic systems. The investigation of the mechanism of the tangent bifurcation in current mode controlled boost converters operating in continuous conduction m...Tangent bifurcation is a special bifurcation in nonlinear dynamic systems. The investigation of the mechanism of the tangent bifurcation in current mode controlled boost converters operating in continuous conduction mode (CCM) is performed. The one-dimensional discrete iterative map of the boost converter is derived. Based on the tangent bifurcation theorem, the conditions of producing the tangent bifurcation in CCM boost converters are deduced mathematically. The mechanism of the tangent bifurcation in CCM boost is exposed from the viewpoint of nonlinear dynamic systems. The tangent bifurcation in the boost converter is verified by numerical simulations such as discrete iterative maps, bifurcation map and Lyapunov exponent. The simulation results are in agreement with the theoretical analysis, thus validating the correctness of the theory.展开更多
基金Sponsored by the National Natural Sciences Foundation of China(Grant No.61201227)
文摘According to the fact that the actual inductor and actual capacitor are fractional, the mathematical and state-space averaging models of fractional order Buck converters in continuous conduction mode(CCM) are constructed by using fractional calculus theory. Firstly, the parameter conditions that ensure that the converter working in CCM is given and transfer functions are derived. Also, the inductor current and the output voltage are analyzed. Then the difference between the mathematical model and the circuit model are analyzed, and the effect of fractional order is studied by comparing the integer order with fractional order model. Finally, the dynamic behavior of the current-controlled Buck converter is investigated. Simulation experiments are achieved via the use of Matlab/Simulink. The experimental results verify the correctness of theoretical analysis, the order should be taken as a significant parameter. When the order is taken as a bifurcation parameter, the dynamic behavior of the converter will be affected and bifurcation points will be changed as order varies.
文摘为研究减小单电感双输出(single-inductor dual-output,SIDO)Buck变换器输出支路间交叉影响的控制方法,该文以工作于电感电流连续导电模式(continue conduction mode,CCM)的SIDO Buck变换器为研究对象,描述其工作原理和开关状态,推导出状态空间平均模型,并建立了SIDO CCM Buck变换器的功率级小信号模型。在此基础上,提出电容电流–电容电压纹波控制(capacitor current and capacitor voltage ripple controlled,CCVR) SIDO CCM Buck变换器,对其控制原理进行阐述,并建立了小信号模型。进一步地,分析了变换器输出支路间的交叉影响。结果表明:相比传统峰值电流型控制(peak current mode controlled,PCM) SIDO CCM Buck变换器,CCVR SIDO CCM Buck变换器可有效减小输出支路间的交叉影响。最后,由设计的CCVR SIDO CCM Buck变换器实验电路,验证了理论分析的正确性。
文摘Tangent bifurcation is a special bifurcation in nonlinear dynamic systems. The investigation of the mechanism of the tangent bifurcation in current mode controlled boost converters operating in continuous conduction mode (CCM) is performed. The one-dimensional discrete iterative map of the boost converter is derived. Based on the tangent bifurcation theorem, the conditions of producing the tangent bifurcation in CCM boost converters are deduced mathematically. The mechanism of the tangent bifurcation in CCM boost is exposed from the viewpoint of nonlinear dynamic systems. The tangent bifurcation in the boost converter is verified by numerical simulations such as discrete iterative maps, bifurcation map and Lyapunov exponent. The simulation results are in agreement with the theoretical analysis, thus validating the correctness of the theory.
