7.3.1 Fixed Frequency PWM Control

The TPS57040-Q1 uses an adjustable fixed frequency, peak current mode control. The output voltage is compared through external resistors on the VSENSE pin to an internal voltage reference by an error amplifier which drives the COMP pin. An internal oscillator initiates the turn on of the high side power switch. The error amplifier output is compared to the high side power switch current. When the power switch current reaches the level set by the COMP voltage, the power switch is turned off. The COMP pin voltage will increase and decrease as the output current increases and decreases. The device implements a current limit by clamping the COMP pin voltage to a maximum level. The Eco-mode is implemented with a minimum clamp on the COMP pin.

7.3.2 Slope Compensation Output Current

The TPS57040-Q1 adds a compensating ramp to the switch current signal. This slope compensation prevents sub-harmonic oscillations. The available peak inductor current remains constant over the full duty cycle range.

7.3.3 Pulse Skip Eco-mode

The TPS57040-Q1 operates in a pulse skip Eco-mode at light load currents to improve efficiency by reducing switching and gate drive losses. The TPS57040-Q1 is designed so that if the output voltage is within regulation and the peak switch current at the end of any switching cycle is below the pulse skipping current threshold, the device enters Eco-mode. This current threshold is the current level corresponding to a nominal COMP voltage or 500 mV.

When in Eco-mode, the COMP pin voltage is clamped at 500 mV and the high-side MOSFET is inhibited. Further decreases in load current or in output voltage can not drive the COMP pin below this clamp voltage level.

Since the device is not switching, the output voltage begins to decay. As the voltage control loop compensates for the falling output voltage, the COMP pin voltage begins to rise. At this time, the high-side MOSFET is enabled and a switching pulse initiates on the next switching cycle. The peak current is set by the COMP pin voltage. The output voltage re-charges the regulated value (see Figure 25), then the peak switch current starts to decrease, and eventually falls below the Eco-mode threshold at which time the device again enters Eco-mode.

For Eco-mode operation, the TPS57040-Q1 senses peak current, not average or load current, so the load current where the device enters Eco-mode is dependent on the output inductor value. For example, the circuit in Figure 50 enters Eco-mode at about 20 mA of output current. When the load current is low and the output voltage is within regulation, the device enters a sleep mode and draws only 116-μA input quiescent current. The internal PLL remains operating when in sleep mode. When operating at light load currents in the pulse skip mode, the switching transitions occur synchronously with the external clock signal.

Figure 25. Pulse Skip Mode Operation

7.3.4 Low Dropout Operation and Bootstrap Voltage (BOOT)

The TPS57040-Q1 has an integrated boot regulator, and requires a small ceramic capacitor between the BOOT and PH pins to provide the gate drive voltage for the high side MOSFET. The BOOT capacitor is refreshed when the high side MOSFET is off and the low-side diode conducts. The value of this ceramic capacitor should be 0.1 μF. A ceramic capacitor with an X7R or X5R grade dielectric with a voltage rating of 10 V or higher is recommended because of the stable characteristics overtemperature and voltage.

To improve drop out, the TPS57040-Q1 is designed to operate at 100% duty cycle as long as the BOOT to PH pin voltage is greater than 2.1 V. When the voltage from BOOT to PH drops below 2.1 V, the high-side MOSFET is turned off using an UVLO circuit which allows the low side diode to conduct and refresh the charge on the BOOT capacitor. Since the supply current sourced from the BOOT capacitor is low, the high side MOSFET can remain on for more switching cycles than are required to refresh the capacitor, thus the effective duty cycle of the switching regulator is high.

The effective duty cycle during dropout of the regulator is mainly influenced by the voltage drops across the power MOSFET, inductor resistance, low side diode and printed circuit board resistance. During operating conditions in which the input voltage drops and the regulator is operating in continuous conduction mode, the high side MOSFET can remain on for 100% of the duty cycle to maintain output regulation, until the BOOT to PH voltage falls below 2.1 V.

Attention must be taken in maximum duty cycle applications which experience extended time periods with light loads or no load. When the voltage across the BOOT capacitor falls below the 2.1-V UVLO threshold, the high side MOSFET is turned off, but there may not be enough inductor current to pull the PH pin down to recharge the BOOT capacitor. The high side MOSFET of the regulator stops switching because the voltage across the BOOT capacitor is less than 2.1 V. The output capacitor then decays until the difference in the input voltage and output voltage is greater than 2.1 V, at which point the BOOT UVLO threshold is exceeded, and the device starts switching again until the desired output voltage is reached. This operating condition persists until the input voltage and/or the load current increases. It is recommended to adjust the VIN stop voltage greater than the BOOT UVLO trigger condition at the minimum load of the application using the adjustable VIN UVLO feature with resistors on the EN pin.

The start and stop voltages for typical 3.3-V and 5-V output applications are shown in Figure 26 and Figure 27. The voltages are plotted versus load current. The start voltage is defined as the input voltage needed to regulate the output within 1%. The stop voltage is defined as the input voltage at which the output drops by 5% or stops switching.

During high duty cycle conditions, the inductor current ripple increases while the BOOT capacitor is being recharged resulting in an increase in ripple voltage on the output. This is due to the recharge time of the boot capacitor being longer than the typical high side off time when switching occurs every cycle.

Figure 26. 3.3-V Start/Stop Voltage

Figure 27. 5-V Start/Stop Voltage

7.3.5 Error Amplifier

The TPS57040-Q1 has a transconductance amplifier for the error amplifier. The error amplifier compares the V_SENSE voltage to the lower of the SS/TR pin voltage or the internal 0.8-V voltage reference. The transconductance (gm) of the error amplifier is 97 μA/V during normal operation. During the slow start operation, the transconductance is a fraction of the normal operating gm. When the voltage of the V_SENSE pin is below 0.8 V and the device is regulating using the SS/TR voltage, the gm is 25 μA/V.

The frequency compensation components (capacitor, series resistor and capacitor) are added from the COMP pin to ground.

7.3.6 Voltage Reference

The voltage reference system produces a precise ±2% voltage reference over temperature by scaling the output of a temperature stable bandgap circuit.

7.3.7 Adjusting the Output Voltage

The output voltage is set with a resistor divider from the output node to the V_SENSE pin. It is recommended to use 1% tolerance or better divider resistors. Start with a 10 kΩ for the R2 resistor and use the Equation 1 to calculate R1. To improve efficiency at light loads consider using larger value resistors. If the values are too high the regulator will be more susceptible to noise and voltage errors from the V_SENSE input current will be noticeable

Equation 1.

7.3.8 Enable and Adjusting Undervoltage Lockout

The TPS57040-Q1 is disabled when the VIN pin voltage falls below 2.5 V. If an application requires a higher undervoltage lockout (UVLO), use the EN pin as shown in Figure 28 to adjust the input voltage UVLO by using the two external resistors. Though it is not necessary to use the UVLO adjust resistors, for operation it is highly recommended to provide consistent power up behavior. The EN pin has an internal pull-up current source, I1, of 0.9 μA that provides the default condition of the TPS57040-Q1 operating when the EN pin floats. Once the EN pin voltage exceeds 1.25 V, an additional 2.9 μA of hysteresis, I_HYS, is added. This additional current facilitates input voltage hysteresis. Use Equation 2 to set the external hysteresis for the input voltage. Use Equation 3 to set the input start voltage.

Figure 28. Adjustable Undervoltage Lockout (UVLO)

Equation 2.

Equation 3.

Another technique to add input voltage hysteresis is shown in Figure 29. This method may be used, if the resistance values are high from the previous method and a wider voltage hysteresis is needed. The resistor R3 sources additional hysteresis current into the EN pin.

Figure 29. Adding Additional Hysteresis

Equation 4.

Equation 5.

7.3.9 Slow Start/Tracking Pin (SS/TR)

The TPS57040-Q1 effectively uses the lower voltage of the internal voltage reference or the SS/TR pin voltage as the power-supply's reference voltage and regulates the output accordingly. A capacitor on the SS/TR pin to ground implements a slow start time. The TPS57040-Q1 has an internal pullup current source of 2 μA that charges the external slow start capacitor. The calculations for the slow start time (10% to 90%) are shown in Equation 6. The voltage reference (V_REF) is 0.8 V and the slow start current (I_SS) is 2 μA. The slow start capacitor should remain lower than 0.47 μF and greater than 0.47 nF.

Equation 6.

At power up, the TPS57040-Q1 will not start switching until the slow start pin is discharged to less than 40 mV to ensure a proper power up, see Figure 30.

Also, during normal operation, the TPS57040-Q1 will stop switching and the SS/TR must be discharged to 40 mV, when the V_IN UVLO is exceeded, EN pin pulled below 1.25 V, or a thermal shutdown event occurs.

The V_SENSE voltage will follow the SS/TR pin voltage with a 45-mV offset up to 85% of the internal voltage reference. When the SS/TR voltage is greater than 85% on the internal reference voltage the offset increases as the effective system reference transitions from the SS/TR voltage to the internal voltage reference (see Figure 23). The SS/TR voltage will ramp linearly until clamped at 1.7 V.

Figure 30. Operation of SS/TR Pin When Starting

7.3.10 Overload Recovery Circuit

The TPS57040-Q1 has an overload recovery (OLR) circuit. The OLR circuit will slow start the output from the overload voltage to the nominal regulation voltage once the fault condition is removed. The OLR circuit will discharge the SS/TR pin to a voltage slightly greater than the V_SENSE pin voltage using an internal pull down of 100 μA when the error amplifier is changed to a high voltage from a fault condition. When the fault condition is removed, the output will slow start from the fault voltage to nominal output voltage.

7.3.11 Sequencing

Many of the common power supply sequencing methods can be implemented using the SS/TR, EN and PWRGD pins. The sequential method can be implemented using an open drain output of a power on reset pin of another device. The sequential method is illustrated in Figure 31 using two TPS57040-Q1 devices. The power good is coupled to the EN pin on the TPS57040-Q1 which will enable the second power supply once the primary supply reaches regulation. If needed, a 1-nF ceramic capacitor on the EN pin of the second power supply will provide a 1-ms start-up delay. Figure 32 shows the results of Figure 31.

Figure 31. Schematic for Sequential Start-Up Sequence

Figure 32. Sequential Startup Using EN and PWRGD

Figure 33. Schematic for Ratiometric Startup Using Coupled SS/TR Pins

Figure 34. Ratiometric Startup using Coupled SS/TR pins

Figure 33 shows a method for ratio-metric start up sequence by connecting the SS/TR pins together. The regulator outputs will ramp up and reach regulation at the same time. When calculating the slow start time the pull up current source must be doubled in Equation 6. Figure 34 shows the results of Figure 33.

Figure 35. Schematic for Ratiometric and Simultaneous Start-Up Sequence

Ratiometric and simultaneous power supply sequencing can be implemented by connecting the resistor network of R1 and R2 shown in Figure 35 to the output of the power supply that needs to be tracked or another voltage reference source. Using Equation 7 and Equation 8, the tracking resistors can be calculated to initiate the V_OUT2 slightly before, after or at the same time as V_OUT1. Equation 9 is the voltage difference between V_OUT1 and V_OUT2 at the 95% of nominal output regulation.

The ΔV variable is zero volts for simultaneous sequencing. To minimize the effect of the inherent SS/TR to VSENSE offset (V_SSOFFSET) in the slow start circuit and the offset created by the pullup current source (I_ss) and tracking resistors, the V_SSOFFSET and I_ss are included as variables in the equations.

To design a ratiometric start up in which the V_OUT2 voltage is slightly greater than the V_OUT1 voltage when V_OUT2 reaches regulation, use a negative number in Equation 7 through Equation 9 for ΔV. Equation 9 will result in a positive number for applications which the V_OUT2 is slightly lower than V_OUT1 when V_OUT2 regulation is achieved.

Since the SS/TR pin must be pulled below 40mV before starting after an EN, UVLO or thermal shutdown fault, careful selection of the tracking resistors is needed to ensure the device will restart after a fault. Make sure the calculated R1 value from Equation 7 is greater than the value calculated in Equation 10 to ensure the device can recover from a fault.

As the SS/TR voltage becomes more than 85% of the nominal reference voltage the V_SSOFFSET becomes larger as the slow start circuits gradually handoff the regulation reference to the internal voltage reference. The SS/TR pin voltage needs to be greater than 1.3 V for a complete handoff to the internal voltage reference as shown in Figure 23.

Equation 7.

Equation 8.

Equation 9.

Equation 10.

Figure 36. Ratiometric Startup With V_OUT2 Leading V_OUT1

Figure 38. Simultaneous Startup With Tracking Resistor

Figure 37. Ratiometric Startup With V_OUT1 Leading V_OUT2

7.3.12 Constant Switching Frequency and Timing Resistor (RT/CLK Pin)

The switching frequency of the TPS57040-Q1 is adjustable over a wide range from approximately 100 kHz to 2500 kHz by placing a resistor on the RT/CLK pin. The RT/CLK pin voltage is typically 0.5 V and must have a resistor to ground to set the switching frequency. To determine the timing resistance for a given switching frequency, use Equation 11 or the curves in Figure 39 or Figure 40. To reduce the solution size one would typically set the switching frequency as high as possible, but tradeoffs of the supply efficiency, maximum input voltage and minimum controllable on time should be considered.

The minimum controllable on time is typically 130 ns and limits the maximum operating input voltage.

The maximum switching frequency is also limited by the frequency shift circuit. More discussion on the details of the maximum switching frequency is located below.

Equation 11.

Figure 39. Switching Frequency vs RT/CLK Resistance High Frequency Range

Figure 40. Switching Frequency vs RT/CLK Resistance Low Frequency Range

7.3.13 Overcurrent Protection and Frequency Shift

The TPS57040-Q1 implements current mode control which uses the COMP pin voltage to turn off the high side MOSFET on a cycle by cycle basis. Each cycle the switch current and COMP pin voltage are compared, when the peak switch current intersects the COMP voltage, the high side switch is turned off. During overcurrent conditions that pull the output voltage low, the error amplifier will respond by driving the COMP pin high, increasing the switch current. The error amplifier output is clamped internally, which functions as a switch current limit.

To increase the maximum operating switching frequency at high input voltages the TPS57040-Q1 implements a frequency shift. The switching frequency is divided by 8, 4, 2, and 1 as the voltage ramps from 0 to 0.8 volts on VSENSE pin.

The device implements a digital frequency shift to enable synchronizing to an external clock during normal startup and fault conditions. Since the device can only divide the switching frequency by 8, there is a maximum input voltage limit in which the device operates and still have frequency shift protection.

During short-circuit events (particularly with high input voltage applications), the control loop has a finite minimum controllable on time and the output has a low voltage. During the switch on time, the inductor current ramps to the peak current limit because of the high input voltage and minimum on time. During the switch off time, the inductor would normally not have enough off time and output voltage for the inductor to ramp down by the ramp up amount. The frequency shift effectively increases the off time allowing the current to ramp down.

7.3.14 Selecting the Switching Frequency

The switching frequency that is selected should be the lower value of the two equations, Equation 12 and Equation 13. Equation 12 is the maximum switching frequency limitation set by the minimum controllable on time. Setting the switching frequency above this value will cause the regulator to skip switching pulses.

Equation 13 is the maximum switching frequency limit set by the frequency shift protection. To have adequate output short circuit protection at high input voltages, the switching frequency should be set to be less than the ƒ_SW(maxshift) frequency. In Equation 13, to calculate the maximum switching frequency one must take into account that the output voltage decreases from the nominal voltage to 0 volts, the ƒ_DIV integer increases from 1 to 8 corresponding to the frequency shift.

In Figure 41, the solid line illustrates a typical safe operating area regarding frequency shift and assumes the output voltage is zero volts, and the resistance of the inductor is 0.130 Ω, FET on resistance of 0.2 Ω and the diode voltage drop is 0.5 V. The dashed line is the maximum switching frequency to avoid pulse skipping. Enter these equations in a spreadsheet or other software or use the SwitcherPro design software to determine the switching frequency.

Equation 12.

Equation 13.

Figure 41. Maximum Switching Frequency vs. Input Voltage

7.3.15 How to Interface to RT/CLK Pin

The RT/CLK pin can be used to synchronize the regulator to an external system clock. To implement the synchronization feature connect a square wave to the RT/CLK pin through the circuit network shown in Figure 42. The square wave amplitude must transition lower than 0.5 V and higher than 2.2 V on the RT/CLK pin and have an on time greater than 40 ns and an off time greater than 40 ns. The synchronization frequency range is 300 kHz to 2200 kHz. The rising edge of the PH will be synchronized to the falling edge of RT/CLK pin signal. The external synchronization circuit should be designed in such a way that the device will have the default frequency set resistor connected from the RT/CLK pin to ground should the synchronization signal turn off. It is recommended to use a frequency set resistor connected as shown in Figure 42 through a 50-Ω resistor to ground. The resistor should set the switching frequency close to the external CLK frequency. It is recommended to ac couple the synchronization signal through a 10-pF ceramic capacitor to RT/CLK pin and a 4-kΩ series resistor. The series resistor reduces PH jitter in heavy load applications when synchronizing to an external clock and in applications which transition from synchronizing to RT mode. The first time the CLK is pulled above the CLK threshold the device switches from the RT resistor frequency to PLL mode. The internal 0.5-V voltage source is removed and the CLK pin becomes high impedance as the PLL starts to lock onto the external signal. Since there is a PLL on the regulator the switching frequency can be higher or lower than the frequency set with the external resistor. The device transitions from the resistor mode to the PLL mode and then will increase or decrease the switching frequency until the PLL locks onto the CLK frequency within 100 microseconds.

When the device transitions from the PLL to resistor mode the switching frequency will slow down from the CLK frequency to 150 kHz, then reapply the 0.5-V voltage and the resistor will then set the switching frequency. The switching frequency is divided by 8, 4, 2, and 1 as the voltage ramps from 0 to 0.8 volts on VSENSE pin. The device implements a digital frequency shift to enable synchronizing to an external clock during normal startup and fault conditions. Figure 43, Figure 44 and Figure 45 show the device synchronized to an external system clock in continuous conduction mode (CCM) discontinuous conduction (DCM) and pulse skip mode (PSM).

Figure 42. Synchronizing to a System Clock

Figure 43. Plot of Synchronizing in CCM

Figure 45. Plot of Synchronizing in PSM

Figure 44. Plot of Synchronizing in DCM

7.3.16 Power-Good (PWRGD Pin)

The PWRGD pin is an open drain output. Once the VSENSE pin is between 94% and 107% of the internal voltage reference the PWRGD pin is deasserted and the pin floats. It is recommended to use a pullup resistor between the values of 1 kΩ and 100 kΩ to a voltage source that is 5.5 V or less. The PWRGD is in a defined state once the V_IN input voltage is greater than 1.5 V but with reduced current sinking capability. The PWRGD will achieve full current sinking capability as V_IN input voltage approaches 3 V.

The PWRGD pin is pulled low when the VSENSE is lower than 92% or greater than 109% of the nominal internal reference voltage. Also, the PWRGD is pulled low, if the UVLO or thermal shutdown are asserted or the EN pin pulled low.

7.3.17 Overvoltage Transient Protection

The TPS57040-Q1 incorporates an overvoltage transient protection (OVTP) circuit to minimize voltage overshoot when recovering from output fault conditions or strong unload transients on power supply designs with low value output capacitance. For example, when the power supply output is overloaded the error amplifier compares the actual output voltage to the internal reference voltage. If the VSENSE pin voltage is lower than the internal reference voltage for a considerable time, the output of the error amplifier will respond by clamping the error amplifier output to a high voltage. Thus, requesting the maximum output current. Once the condition is removed, the regulator output rises and the error amplifier output transitions to the steady state duty cycle. In some applications, the power supply output voltage can respond faster than the error amplifier output can respond, this actuality leads to the possibility of an output overshoot. The OVTP feature minimizes the output overshoot, when using a low value output capacitor, by implementing a circuit to compare the VSENSE pin voltage to OVTP threshold which is 109% of the internal voltage reference. If the VSENSE pin voltage is greater than the OVTP threshold, the high side MOSFET is disabled preventing current from flowing to the output and minimizing output overshoot. When the VSENSE voltage drops lower than the OVTP threshold, the high side MOSFET is allowed to turn on at the next clock cycle.

7.3.18 Thermal Shutdown

The device implements an internal thermal shutdown to protect itself if the junction temperature exceeds 182°C. The thermal shutdown forces the device to stop switching when the junction temperature exceeds the thermal trip threshold. Once the die temperature decreases below 182°C, the device reinitiates the power up sequence by discharging the SS/TR pin.

7.3.19 Small Signal Model for Loop Response

Figure 46 shows an equivalent model for the TPS57040-Q1 control loop which can be modeled in a circuit simulation program to check frequency response and dynamic load response. The error amplifier is a transconductance amplifier with a gm_EA of 97 μA/V. The error amplifier can be modeled using an ideal voltage controlled current source. The resistor R_o and capacitor C_o model the open loop gain and frequency response of the amplifier. The 1-mV ac voltage source between the nodes a and b effectively breaks the control loop for the frequency response measurements. Plotting c/a shows the small signal response of the frequency compensation. Plotting a/b shows the small signal response of the overall loop. The dynamic loop response can be checked by replacing R_L with a current source with the appropriate load step amplitude and step rate in a time domain analysis. This equivalent model is only valid for continuous conduction mode designs.

Figure 46. Small Signal Model for Loop Response

7.3.20 Simple Small Signal Model for Peak Current Mode Control

Figure 47 describes a simple small signal model that can be used to understand how to design the frequency compensation. The TPS57040-Q1 power stage can be approximated to a voltage-controlled current source (duty cycle modulator) supplying current to the output capacitor and load resistor. The control to output transfer function is shown in Equation 14 and consists of a dc gain, one dominant pole, and one ESR zero. The quotient of the change in switch current and the change in COMP pin voltage (node c in Figure 46) is the power stage transconductance. The gm_PS for the TPS57040-Q1 is 1.9 A/V. The low-frequency gain of the power stage frequency response is the product of the transconductance and the load resistance as shown in Equation 15.

As the load current increases and decreases, the low-frequency gain decreases and increases, respectively. This variation with the load may seem problematic at first glance, but fortunately the dominant pole moves with the load current (see Equation 16). The combined effect is highlighted by the dashed line in the right half of Figure 47. As the load current decreases, the gain increases and the pole frequency lowers, keeping the 0-dB crossover frequency the same for the varying load conditions which makes it easier to design the frequency compensation. The type of output capacitor chosen determines whether the ESR zero has a profound effect on the frequency compensation design. Using high ESR aluminum electrolytic capacitors may reduce the number frequency compensation components needed to stabilize the overall loop because the phase margin increases from the ESR zero at the lower frequencies (see Equation 17).

Figure 47. Simple Small Signal Model and Frequency Response for Peak Current Mode Control

Equation 14.

Equation 15.

Equation 16.

Equation 17.

7.3.21 Small Signal Model for Frequency Compensation

The TPS57040-Q1 uses a transconductance amplifier for the error amplifier and readily supports three of the commonly-used frequency compensation circuits. Compensation circuits Type 2A, Type 2B, and Type 1 are shown in Figure 48. Type 2 circuits most likely implemented in high bandwidth power-supply designs using low ESR output capacitors. The Type 1 circuit is used with power-supply designs with high-ESR aluminum electrolytic or tantalum capacitors.. Equation 18 and Equation 19 show how to relate the frequency response of the amplifier to the small signal model in Figure 48. The open-loop gain and bandwidth are modeled using the R_O and C_O shown in Figure 48. See the application section for a design example using a Type 2A network with a low ESR output capacitor.

Equation 18 through Equation 27 are provided as a reference for those who prefer to compensate using the preferred methods. Those who prefer to use prescribed method use the method outlined in the application section or use switched information.

Figure 48. Types of Frequency Compensation

Figure 49. Frequency Response of the Type 2A and Type 2B Frequency Compensation

Equation 18.

Equation 19.

Equation 20.

Equation 21.

Equation 22.

Equation 23.

Equation 24.

Equation 25.

Equation 26.

Equation 27.