By André S. Kislovski, Richard Redl, Nathan O. Sokal (auth.)

The most important a part of the fashionable switching-mode energy offer is the regulated dc/dc converter. Its dynamic habit at once determines or impacts 4 of the $64000 features of the ability offer: • balance of the suggestions loop • Rejection of input-voltage ripple and the closely-related temporary re sponse to input-voltage perturbation • Output impedance and the closely-related brief reaction to load perturbation • Compatibility with the enter EMI clear out end result of the complexity of the operation of the converter, predicting its dynamic habit has now not been effortless. with out actual prediction, and based basically on construction the circuit and tinkering with it until eventually the operation is passable, the engineering expense can simply amplify and schedules could be neglected. the placement isn't really far better while the circuit is in-built the pc, utilizing a general-purpose circuit-simulation application comparable to SPICE. (At the top of this e-book is a sort for acquiring info on a working laptop or computer application particularly well matched for dynamic research of switching-mode energy converters: DYANA, an acronym for "DYnamic research. " DYANA relies at the process given during this ebook. ) the most objective of this publication is to assist the power-supply clothier within the prediction of the dynamic habit by way of supplying straight forward analytical instruments, concrete result of already-made analyses, tabulated for simple program by way of the reader, and examples of the way to use the instruments supplied within the book.

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**Additional resources for Dynamic Analysis of Switching-Mode DC/DC Converters**

**Example text**

34 Survey of the ExIsting Analysis Methods Taking the Laplace transform of (2-43) yields I;(s) = [E ;S U D - I. ~T (D - D) T~D F'(S) + + (2-44) + (DD Ls + DDTlE*(S) _ (DZ L Ls + TDZlU*(S) 2L where D =1 (2-45) - D Substituting K and M of (2-1) into (2-44) yields the equation for the injected current. That equation is represented by the block diagram of Figure 2-10. Eliminating the injected current in (2-44) yields U*(s) = M{l 1 + [(11K) + + (1 [2(1 + M)ZIK](LsIR)} + M)ZkLsIR) + sZCL(l + M)Z E *(s) (2-46) + E(l +Mfh + [(1IK)(2 +M)/(l +M) -M(l +M)](LsIR)} D*(s) 1 + [(11K) + (1 + M)z](LsIR) + sZCL(l + Mf Two transfer functions are recognizable in (2-46): the transfer function of input voltage E* to output voltage if, and the transfer function of duty ratio D· to output voltage.

The next two sections discuss, respectively, the derivation of the characteristic coefficients of the duty-ratio controlled buck cell in the light and heavy operating modes. 2-2-1 Light Mode Figure 2-2 shows the waveform of perturbed inductor current in a buck cell operating in light mode (the inductor current falls to zero during the cycle and remains at zero until the beginning of the next cycle). The mean current (averaged over the switching period), injected from the inductor L into the parallel combination of the storage capacitor C and the load resistor R, is .

Thus, apart from the dc isolation and polarity inversion, the circuits of Figures 2-7 and 2-14 are equivalent, assuming that (2-58) e 1 Figure 2-14. Model of the secondary winding of the transformer in Figure 2-13 during the conduction of the transistor switch. 2-4 Boost Cell Figure 2-15 shows the circuit diagram of a boost converter. u Figure 2-15. Boost converter. Elementary Converters Operating at Constant Frequency 41 2-4-1 Boost-Cell Transfer Functions, Light Mode Figure 2-2 shows the perturbed inductor-current waveform of a boost cell operating in light mode.