A Method to Obtain Complex Transfer Functions of Four Order DC-DC Converters  

作　　者：Josep M. Vails Marti Pedro M. Gil Izco 

机构地区：[1]Department of Electrical and Electronic Engineering, Public University of Navarra (UPNA), Campus of Arrosadla-Pamplona, Navarra 31006, Spain

出　　处：《Journal of Energy and Power Engineering》2016年第10期615-622,共8页能源与动力工程（美国大卫英文）

摘　　要：Two TFs （transfer functions） are needed to analyze switching DC-DC converters in control-voltage mode： the duty-cycle to output-voltage （control to output） and the input-voltage to output-voltage （line to output）. To obtain these TFs a small-signal analysis is required. The CCM （continuous conduction mode） and the DCM （discontinuous conduction mode） analysis are different. When a circuit includes the loss resistances of the components, the number of parameters increases considerably, making manual nodal-loop circuit analysis techniques impractical to obtain the TFs. Moreover, these circuits are bilinear （non-linear） and it is necessary to linearize the equations at a DC operating-point （approximate linearization）. Vorp6rian describes a PWM （pulse-width-modulated） switch model that includes all non-linear parts of the DC-DC switching converters. This model can be linearized and replaced on the switching converter schematic leading to a linear circuit. At this point it is possible to use symbolic analysis programs to obtain these TFs or to simply apply numerical values for either the Bode diagrams or the calculation of poles and zeros. Here we describe an application of Ekrem Cangeici＇s method on X DC-DC converter to obtain control to output and line to output TFs in CCM and DCM including loss resistances. The method presented in this paper is optimized to use in the online publishing platform OctaveRS. Also the control to output TF for PCC （peak current controlled） in CCM is obtained.

关 键 词：Cuk SEPIC （single ended primary inductance converter） ZETA X DC-DC converters mathematics symbolic computation. 

分 类 号：TN624[电子电信—电路与系统] TM42[电气工程—电器]