The LM5013-Q1 step-down switching converter employs a constant on-time (COT) control scheme. The COT control scheme sets a fixed on time, t_ON, of the high-side FET using a timing resistor (R_ON). t_ON is adjusted as V_IN changes and is inversely proportional to the input voltage to maintain a fixed frequency when in continuous conduction mode (CCM). After t_ON expires, the high-side FET remains off until the feedback pin is equal or below the 1.2-V reference voltage. To maintain stability, the feedback comparator requires a minimal ripple voltage that is in-phase with the inductor current during the off time. Furthermore, this change in feedback voltage during the off time must be large enough to dominate any noise present at the feedback node. The minimum recommended ripple voltage is 20 mV. See Table 7-1 for different types of ripple injection schemes that ensure stability over the full input voltage range.

During a rapid start-up or a positive load step, the regulator operates with minimum off times until regulation is achieved. This feature enables extremely fast load transient response with minimum output voltage undershoot. When regulating the output in steady-state operation, the off time automatically adjusts itself to produce the SW-pin duty cycle required for output voltage regulation to maintain a fixed switching frequency. In CCM, the switching frequency, F_SW, is programmed by the R_RON resistor. Use Equation 2 to calculate the switching frequency.

Equation 1.

Table 7-1 Ripple Generation Methods

Type 1	Type 2	Type 3
Lowest Cost	Reduced Ripple	Minimum Ripple

Table 7-1 presents three different methods for generating appropriate voltage ripple at the feedback node. Type-1 ripple generation method uses a single resistor, R_ESR, in series with the output capacitor. The generated voltage ripple has two components: capacitive ripple caused by the inductor ripple current charging and discharging the output capacitor and resistive ripple caused by the inductor ripple current flowing into the output capacitor and through series resistance, R_ESR. The capacitive ripple component is out-of-phase with the inductor current and does not decrease monotonically during the off time. The resistive ripple component is in-phase with the inductor current and decreases monotonically during the off time. The resistive ripple must exceed the capacitive ripple at V_OUT for stable operation. If this condition is not satisfied, unstable switching behavior is observed in COT converters with multiple on-time bursts in close succession followed by a long off time. The lowest cost equations define the value of the series resistance R_ESR to ensure sufficient in-phase ripple at the feedback node.

Type-2 ripple generation uses a C_FF capacitor in addition to the series resistor. As the output voltage ripple is directly AC-coupled by C_FF to the feedback node, the R_ESR and ultimately the output voltage ripple, are reduced by a factor of V_OUT / V_FB1.

Type-3 ripple generation uses an RC network consisting of R_A and C_A, and the switch node voltage to generate a triangular ramp that is in-phase with the inductor current. This triangular wave is the AC-coupled into the feedback node with capacitor C_B. Because this circuit does not use output voltage ripple, it is suited for applications where low output voltage ripple is critical. The AN-1481 Controlling Output Ripple and Achieving ESR Independence in Constant On-time (COT) Regulator Designs Application Note provides additional details on this topic.