In battery-powered applications, like cell phones, PDAs, digital cameras, etc., an integrated dc-dc converter circuit solution offers several advantages in terms of cost, size, and design complexity. A critical hurdle in obtaining a fully integrated solution is the frequency compensation circuit, which has to be designed based on the values of external passive filter components (L-C) and associated parasitic elements, like the capacitor equivalent series resistance (ESR). The values of these off-chip components vary due to manufacturing tolerances, parameter drift, and design requirements. Capacitor ESR can vary by orders of magnitude, based on whether the capacitor is electrolytic or ceramic, not to mention its variation across temperature. As such, it is required to have a DC-DC controller IC that can provide fast control and stable operation with widely varying passive component values. In hysteretic control for buck converters, the regulated output voltage includes inductor current ripple information sensed indirectly through capacitor ESR, thus simplifying the loop characteristics. This circuit displays an inherently stable performance and any change in L-C values is accommodated through a change in the converter switching frequency, maintaining stable operation without the use of frequency compensation circuits [1-2]. However, in boost converters, which are used for stepping up single or dual-cell battery voltages for 3.3 or 5 V applications, the technique is not readily applicable because the inductor current cannot be determined entirely from the output voltage. A strategy that overcomes this limitation in boost converters is presented in Figure 1 .
Figure 1a Simplified schematic of the proposed boost converter
Figure 1b Duty cycle DA to VIREF demodulator
The inductor current, which cannot be determined completely through the capacitor voltage ripple, is independently sensed and regulated through a separate hysteretic loop, containing the main switch SM. The average inductor current IL is raised above the minimum value required to support load current IO. Starting with a standard boost converter, an additional auxiliary switch SA is added across the inductor L. When the switch SA is open, the excess inductor current (above the minimum value) tends to charge the capacitor C beyond the desired output voltage. This overcharge is sensed and prevented by comparator Q1, which turns on switch SA and shorts inductor L. Therefore, the inductor current freewheels, shutting off diode D and letting the capacitor voltage discharge. Switch SA is turned back off when the sensed capacitor voltage VS discharges below reference VREF. The hysteretic problem is thus defined to regulate the output voltage to a desired value between (VIN - VDiode), which is its equilibrium value with switch SA closed, and ID(VOUT/IO), which is its equilibrium value with switch SA open. This regulation is performed by controlling the duty cycle DA of switch SA. At the appropriate duty cycle DA, the diode current ID, averaged over a switching cycle of SA, equals the load current IO, and average VOUT is stabilized to equal VREF. Switch SA switches asynchronously to switch SM at a much lower switching frequency.
The additional power loss due to higher inductor current is kept low by maintaining the inductor current only 5% above the minimum required value (IL_Min). A representative inductor current reference (VIREF) is derived from duty cycle DA, by means of a charge-pump-based duty-cycle-to-voltage demodulator shown in Fig. 1b. Capacitor C1 is charged and discharged by complementarily switching current sources I1 and I2, which are gated by the controlling signal of switch SA. The average capacitor current equals zero and the voltage VIREF stabilizes when the total charge injected into the capacitor by I1 during the off time of switch SA balances the total charge removed by I2 during the on time of switch SA. By setting I2 to be 19 times larger than I1, VIREF reaches steady state only when the off time of SA (I1 charging C1) is 19 times greater than the on time of SA (I2 discharging C1), i.e., duty cycle DA is 5%. If the steady-state duty cycle DA is increased, the load transient response of the converter improves at the cost of reduced power efficiency. With duty-cycle DA chosen as 5%, the efficiency of the proposed converter is degraded by approximately 2% as compared to a standard boost converter, at a load of 0.5A .
A fast, large increase in load current causes the output voltage to drop sharply because the inductor current is not high enough to support the increased load. Comparator Q3 senses this voltage drop and turns on switch MPC1, thereby raising the inductor current reference to the level that is required to support the maximum designed load current. The inductor current rises, in a single cycle of switch SM, to the new reference and then charges the output capacitor, in a single cycle of switch SA, to VREF. Once the output voltage reaches VREF, switch M1 turns off and the inductor current reference VIREF decays until the duty-cycle DA reaches the 5% limit. The comparator is designed with an asymmetrical hysteresis, being narrower than that of Q2 on the positive side and wider than that of Q2 on the negative side.
Simulated waveforms in steady state for the operating conditions tabulated in Table 1, are shown in Fig. 2a. The output voltage VOUT and inductor current IL are seen to have two ripples viz. a high frequency ripple corresponding to the switching of switch SM and a larger, low frequency ripple corresponding to switching of switch SA. Transient waveforms for a step load change from 0.3 to 0.6 A are shown in Fig. 2b. Simulations show that stable converter operation is obtained for capacitor (C) and ESR ranges of 3-200μF and 0-35mΩ respectively, under inductor (L) variation of 1-30μH at 1 A load. The acceptable ESR range is extended further at lower load levels.
Table 1. Simulation parameters and conditions
Figure 2a. Simulated waveforms in a steady state for the proposed circuit at VIN=1.5V, IO=0.3A, VOUT=3.3V, fSW (SA) =5kHz, fSW(SM) =1.6MHz with three switching cycles of switch SA showing VOUT, IL, VIREF, and VGA
Figure 2b. Step load from 0.3 to 0.6A, VIN=1.5V, VOUT = 3.3V showing IL and VOUT.
The proposed technique provides stable performance and single-step transient response for a wide range of filter L-C values without the use of any external compensation circuit, thus suitable for integration. However, three main drawbacks are evident. Firstly, the output voltage has a somewhat large steady-state ripple at a low frequency, which may lie in the audible range; secondly, the additional switch SA, which carries current in steady state, can be quite large in size, and, thirdly, the additional inductor current leads to a reduction in power efficiency. The future work in this research involves addressing all these concerns while maintaining the aforementioned benefits. Currently, a prototype board is being built to verify the simulations through experimental results and to determine the L-C compliance of the proposed circuit.
 G.A. Rincn-Mora, "Self-Oscillating DC-DC converters: From the Ground up," IEEE Power Electronics Specialists Conference Tutorial, 2001.
 R. Miftakhutdinov, "Analysis of synchronous buck converter with hysteretic controller at high slew-rate load current transients," Proceedings of High Frequency Power Conversion Conference, 1999, pp. 55-69.
 N. Keskar and G.A. Rincn-Mora, "Self-Stabilizing, hysteretic, boost DC-DC converter," The 30th Annual Conference of the IEEE Industrial Electronics Society, IECON 2004, Nov 2004, TA3-4.
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