The nonlinear modeling and analysis of dc-dc converters has been done by averaging and discrete-sampling techniques. The averaging technique is simple, but inaccurate, as the modulation frequencies approach the theoretical limit of one-half the switching frequency. The discrete technique is accurate even at high frequencies, but is very complex and cumbersome. An improved model is developed by combining the aforementioned techniques. This new model is easy to implement in circuit and state variable forms and is accurate to the theoretical limit.
Equivalent Series Inductance (ESL) is a parasitic inductance in tantalum and aluminum electrolytic capacitors. These capacitors are frequently used as the filter capacitors in DC-DC converters, because of their high ripple current capacity. The effect of ESL is usually neglected when the DC-DC converter performance is analyzed and evaluated. The trend for DC-DC converters is to increase the power density; this causes higher and higher ripple current to flow into the filter capacitors. As the ripple current increases, the effect of the ESL on the converter stability becomes quite significant. This paper discusses the effect of the filter capacitor ESL on converter stability, derives the open loop transfer function in closed form and verifies the model with experimental data.
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