Abstract :
Mathematical modeling for power dc-dc converters is a historical problem accompanying dc-dc conversion technology since the 1940s. The traditional mathematical modeling is not available for complex structure converters since the differential equation order increases very high. We have to search for other ways to establish mathematical modeling for power dc-dc converters. We have defined energy factor (EF) and new mathematical modeling for power dc-dc converters that have attracted much attention in recent years. This paper describes the small signal analysis of EF and mathematical modeling for power dc-dc converters in continuous conduction mode and discontinuous conduction mode. EF and the subsequential parameters can illustrate the unit-step response and interference recovery. This investigation may be helpful for system design and dc-dc converters characteristics. Two dc-dc converters: Buck converter and super-lift Luo-converter as the samples, are analyzed in this paper to demonstrate the applications of EF, pumping energy, stored energy (SE), capacitor/inductor SE ratio, energy losses, time constant tau, and damping time constant taud
Keywords :
DC-DC power convertors; differential equations; energy storage; interference suppression; power capacitors; power inductors; buck converter; capacitor-inductor; complex structure converters; differential equations; energy factor; interference recovery; mathematical modeling; power DC-DC converters; signal analysis; stored energy; subsequential parameters; superlift Luo converter; unit-step response; Buck converters; Capacitors; DC-DC power converters; Differential equations; Energy loss; Inductors; Interference; Mathematical model; Signal analysis; System analysis and design; Capacitor/inductor SE ratio (CIR); energy factor (EF); energy losses (EL); impulse response; mathematical modeling; pumping energy (PE); stored energy (SE); time constant ${tau}$ and damping time constant ${tau}_{d}$ ; unit-step response;
