How to Eliminate Over Stress of MOSFET during Start-up of Flyback Converter
	
	Abstract
	This application note investigates “how to effectively eliminate over-stress 
	of MOSFET during start-up of flyback converters” in three major aspects: first, 
	the design of flyback controllers with the Richtek proprietary embedded soft-start 
	function; next, the relationship between feedback stability of the system and 
	stress of switching MOSFETs; finally, analysis and design of a passive voltage 
	clamp RCD Snubber. When developing power supply systems, R&D engineers can 
	refer to this note on how to reduce stress of switching MOSFETs to prevent them 
	from being damaged, and also to enhance reliability of circuit operation.
	
	1. Introduction
	Switching Power Supply, compared to Linear Power Supply, is widely used due 
	to its advantages, such as small size, light weight, high efficiency, etc. Flyback 
	Converter, one of the switching power supply topologies, is most suitable for 
	power supply systems that are below 150W because of its unique features of isolation 
	between primary and secondary sides, simple circuit architecture, few components, 
	low cost, etc.
	Since switching power MOSFETs play a very important role in switching power 
	supply converters, how to effectively eliminate over-stress of MOSFET during 
	the start-up of flyback converters will be the main focus to be discussed in 
	this application note. The three major aspects to be investigated are flyback 
	controller design, feedback stability, and Snubber design.
	
	2. Flyback Controller Design—Richtek Proprietary Embedded Soft Start Function
	Figure 1 is a circuit diagram of a typical flyback converter. Richtek RT7736 
	– SmartJitter PWM flyback controller is taken as an example. The functional 
	block diagram, from the RT7736 datasheet, is shown in Figure 2. When VDD goes 
	up and exceeds the threshold voltage (VTH_ON) of the controller IC 
	RT7736, the controller will start to operate and Soft Start (SS) function will 
	be activated immediately.
	The oscillator, built in the controller IC, generates a clock to set the 
	S pin of an S-R Flip-Flop. The voltage (VCS) across the current sense 
	resistor (RCS) will compare with the lower value between the feedback 
	voltage (VCOMP) and the current limit signal (VCS_CL) 
	from Constant Power block. If VCS exceeds the lower value between 
	them, the PWM comparator output will reset the S-R Flip-Flop and then the pulse 
	width of VGATE is thus determined. 
	
	
	
	Figure 1. A circuit diagram of a typical flyback converter 
	
	
	
	Figure 2. The functional block diagram of RT7736 
	A flyback controller IC controls the switching transistor (Ex: MOSFET) of 
	a flyback converter via the GATE pin. When the switching MOSFET turns ON or 
	closes, the input voltage is completely across the transformer (coupled inductors) 
	so the inductor current increases linearly and thus the energy stored in the 
	inductor gradually increases. On the other hand, since the power diode is reverse-biased 
	at this stage, it is the output capacitor that supplies the energy to the output 
	load. With the feedback control signals, the gate drive signal (VGATE) 
	can be set to turn off the switching MOSFET. Once the MOSFET is switched OFF, 
	due to the continuity of the magnetic flux of an inductor, the power diode is 
	forced ON, and the inductor voltage will inversely induce the magnetic flux. 
	The inductor current now flows through the diode, and decreases linearly. This 
	current will supply the output load and also charge the output capacitor until 
	the next cycle is triggered by the internal clock of the controller IC. The 
	switching operation of a flyback converter will be repeated every clock cycle 
	in such pattern. Figure 3 illustrates how a flyback converter and its controller 
	operate in continuous conduction mode (CCM).
	When the switching MOSFET is turned ON, the rising slope (mR) 
	of the voltage (VCS) on the current sense resistor is as:
	
	
	
	When the switching MOSFET is turned OFF, the falling slope (mF) of the voltage 
	(VCS) on the current sense resistor is as:
	
	
	
	
	
	
	where VIN is the input voltage across the transformer; LP 
	is the primary-side magnetizing inductance of the transformer; VO 
	is output voltage; VF is the forward voltage of the power diode; 
	n is the turns ratio of the transformer; NP is the primary-side number 
	of coil turns of the transformer; NS is the secondary-side number 
	of coil turns of the transformer.
	
	
	
	Figure 3. The diagram shows how the flyback converter and its controller 
	operate in CCM 
	When a flyback converter just starts up, the output voltage is still zero, 
	and has not been built up yet. From equation (2), it can be seen that the falling 
	slope of the current sense resistor voltage (VCS) is close to zero, 
	too. Since the controller IC will turn on the switching MOSFET for at least 
	a minimum ON time (TON_MIN), VCS will keep rising. Henceforth, peak 
	current of the MOSFET will continue to increase with every cycle. The moment 
	the MOSFET is switched OFF, the accumulated peak current, the leakage inductor 
	of the transformer, and the parasitic capacitor of the MOSFET can cause a high 
	frequency oscillation, which then induce a huge voltage spike across drain and 
	source (VDS) of the MOSFET. Therefore, during start-up of a flyback 
	converter, under high line input voltage condition, the over-stress problem 
	of the switching MOSFET will arise, as shown in Figure 4(a). Besides, when the 
	output of a flyback converter is short and then auto recovery protection will 
	be triggered by the controller IC, the stress of the MOSFET will become even 
	worse under high line input voltage condition, as shown in Figure 4(b).
	
	
	
	Figure 4. The stresses of the switching MOSFET of a flyback converter 
	The Richtek proprietary embedded soft start function, incorporated in the 
	RT7736 – SmartJitter PWM flyback controller, can effectively suppress peak current 
	during start-up to enhance reliability of circuit operation, and also allow 
	the lower rated voltage and current for switching power MOSFET. The proprietary 
	embedded soft start function will be activated first when the controller IC 
	starts to operate. With the features of a stepped current limit signal as well 
	as overcurrent threshold voltage (VCS_SKP) and cycle skipping mode, 
	step by step, output voltage can be slowly built up. During soft start, when 
	the voltage on the current sense resistor (VCS) exceeds overcurrent 
	threshold voltage (VCS_SKP), the controller IC will enter cycle skipping 
	mode. Since the cycle is skipped, this allows more time for the inductor voltage 
	to induce inverse magnetic flux. Thus, peak current of the switching MOSFET 
	can be reduced, and the pulse width of the gate voltage (VGATE) for 
	the next cycle can be wider than Minimum On Time (TON_MIN) so that 
	the output voltage can be built up more efficiently. Figure 5 illustrates how 
	the Richtek proprietary embedded soft start function works. Figure 6 shows the 
	comparison between conventional soft start and the Richtek proprietary embedded 
	soft start function -- cycle skipping mode. 
	
	
	
	Figure 5. The diagram of the Richtek proprietary embedded soft start function
	
	
	
	
	(a) Conventional soft start function 
	
	
	
	(b)RICHTEK proprietary soft start function – cycle skipping mode 
	Figure 6. Conventional vs. RICHTEK proprietary soft start function 
	The same flyback converter power supply system is used for experiments, which 
	are to measure the stress during start-up of the system. Figure 7 shows the 
	comparison between conventional soft start function and the Richtek proprietary 
	soft start function on the same flyback converter after power on. A high voltage 
	spike is seen on the system with a conventional soft start function right after 
	power on. When the output voltage is gradually established, such that the magnetizing 
	flux of the inductor and the inverse magnetic flux induced by the inductor voltage 
	will be close, the stress of the switching MOSFET is reduced gradually. When 
	eventually the output voltage is completely built up, the maximum voltage stress 
	(VDS_MAX) of the switching MOSFET will also be reached. 
	
	
	
	Figure 7. The stress of MOSFET during start-up-Conventional soft start function 
	vs. RICHTEK proprietary soft start function 
	The same flyback converter power supply system is used for experiments, which 
	are to measure the stress when the output of the system is short. Figure 8 shows 
	the comparison between conventional soft start function and RICHTEK proprietary 
	soft start function on the same flyback converter during output short. When 
	the output of a flyback converter is short and then auto recovery protection 
	will be triggered by the controller IC, the stress of the MOSFET will become 
	even worse under high line input voltage condition. The optimized Richtek proprietary 
	soft start function with output short protection can effectively reduce stress 
	of switching MOSFETs so that they can be prevented from damage to enhance reliability 
	of circuit operation. 
	
	
	
	Figure 8. The stress of MOSFET during output short – conventional soft start 
	function vs. RICHTEK proprietary soft start function 
	
	3. Flyback Converter –Relationship between Feedback Stability and Stress of MOSFET
	In the design of flyback converters, the turns ratio (n) of the transformer 
	is directly related to voltage stress of MOSFETs. In other words, the maximum 
	duty cycle determines the turns ratio of the transformer, which then decides 
	voltage stress of MOSFET. 
The maximum voltage stress of the switching MOSFET 
	(VDS_MAX) is as below: 
	
	
	
	where Vin_max is the maximum input voltage across the transformer; 
	n is the turns ratio of the transformer; VO is the output voltage; 
	VF is the forward voltage of the power diode; VSpike is 
	voltage spike caused by the leakage inductance of the transformer (will be explained 
	later).
	According to the operating principle of converters, the duty cycle can be 
	seen as the ON-Time ratio of switching MOSFET and Diode. From the viewpoint 
	of effective semiconductor utilization, the condition that either one has half 
	duty cycle can achieve the highest utilization rate. In other words, the maximum 
	duty cycle (Dmax) is set at around 0.5 to have the highest utilization 
	rate for MOSFET and Diode. Therefore, Duty Cycle is normally set at 0.5 at the 
	lowest input voltage. Then calculate the turns ratio (n) of the transformer 
	and adjust n and Dmax, based on voltage stress margins of MOSFET 
	and Diode. For details about how to determine turns ratios of transformers in 
	flyback converters, please refer to the application note of “Design Guide for 
	Fixed-Frequency Flyback Converter.” However, “Flyback Converter – the Relationship 
	between Feedback Stability and Stress of MOSFET”, which is often neglected by 
	designers, will be discussed in this application note, while assuming the flyback 
	converter and the turns ratio of its transformer have been optimized.
	To investigate feedback stability of the flyback converter, the existing 
	RHP zero of the flyback converter must be first understood. This zero cannot 
	be compensated with the conventional pole, so the cross-over frequency (fc) 
	must be set far below this RHP zero. Practically, the cross-over frequency is 
	usually set below 3kHz. For an off-line flyback converter, it is most appropriate 
	to set cross-over frequency in the range of 800Hz to 3kHz, and phase margin 
	(ψm) > 45° under the condition of low line and full load, given 
	65kHz as the switching frequency. Please refer to the application note of “Feedback 
	Control Design of Off-line Flyback Converter” for the details about feedback 
	design of flyback converters.
	With different compensation designs for feedback stability, the same flyback 
	converter power supply system is used for experiments to measure stress of MOSFET 
	and to prove the theoretical analysis. Two feedback compensation designs, fc < 
	800 Hz & ψm < 45° vs. fc > 800 Hz & ψm > 
	45°, are examined for the relationship between feedback stability and stress 
	of the MOSFET. Figure 9 and 10 show the measurements of cross-over frequency 
	and phase margin of the loop gain under the conditions of low line and high 
	line, respectively, both with full load. Referring to Figure 11 for stress of 
	MOSFET of the flyback converter under the condition of high line and full load, 
	it can be seen that with lower cross-over frequency and insufficient phase margin, 
	the transient response is slower, which causes the overshoot when output voltage 
	is built-up. From equation (4), it can be seen that the overshoot of the output 
	voltage will increase stress of the switching MOSFET. Therefore, with careful 
	design of cross-over frequency and phase margin to achieve better feedback stability 
	compensation, stress of the MOSFET of a flyback converter during start-up can 
	be effectively reduced, which can thus prevent MOSFET from damage.
	
	
	
	Figure 9. Cross-over frequency and phase margin of the loop gain under low 
	line and full load 
	
	
	
	Figure 10. Cross-over frequency and phase margin of the loop gain under high 
	line and full load 
	
	
	
	Figure 11. Stress of the MOSFET of the flyback converter under high line 
	and full load 
	
	4. Analysis and Design of a Passive Voltage Clamp RCD Snubber
	Since the leakage inductor of a transformer and the parasitic capacitor of 
	a MOSFET of a Flyback converter exist, Figure 12 depicts the equivalent circuit 
	model of a flyback converter as well as these elements. When the MOSFET turns 
	OFF or opens, because the magnetic flux of an inductor must be continuous and 
	the magnetic flux stored in the leakage inductor cannot be transferred to the 
	secondary side, the leakage inductor current is cut off immediately, which causes 
	a high voltage spike across the drain and source of the MOSFET (VDS). 
	The resonance caused by the leakage inductor of the transformer and the parasitic 
	capacitor of the MOSFET triggers high-frequency oscillation, as shown in Figure 
	13. Figure 13(a) shows a flyback converter operates in continuous conduction 
	mode (CCM), and Figure 13(b) in discontinuous conduction mode (DCM).
	The high-frequency oscillation, triggered by the resonance caused by the 
	leakage inductor of the transformer and the parasitic capacitor of the MOSFET, 
	is superimposed on the drain/source voltage (VDS) of the MOSFET. 
	The superimposed voltage spike (VDS_Peak) is as below:
	
	
	
	where iDS_Peak is the peak current through the MOSFET, from the 
	primary side of the transformer; LLK is the primary-side equivalent 
	leakage inductor of the transformer; CP is the primary-side equivalent 
	parasitic capacitance of the transformer; COSS is the MOSFET parasitic 
	output capacitance; Vin is the input voltage across the transformer; 
	n is the turns ratio of the transformer; VO is the output voltage; 
	VF is the forward voltage of the power diode.
	
	
	
	Figure 12. A flyback converter and the equivalent circuit model 
	
	
	
	Figure 13. The waveforms show the resonance caused by the parasitic leakage 
	inductance and capacitance from the elements of a flyback converter 
	The voltage spike, caused by the parasitic inductor and capacitor of the 
	components, and the resulting high-frequency oscillation will cause great stress 
	and even damage to the switching MOSFET. High-frequency oscillation may also 
	induce EMI noises to the power supply system and result in reliability problem 
	for the circuits. An appropriate Snubber can be added to suppress this high-frequency 
	oscillation so that the problems mentioned above can be effectively resolved.
	A passive voltage clamp RCD Snubber, which is now widely adopted in flyback 
	converters, is introduced in this application note and is depicted in Figure 
	14. The moment when the switching MOSFET turns OFF, the magnetic flux of the 
	inductor must be continuous, so the leakage inductor current of the transformer 
	continues to flow in the original direction. However, this current will flow 
	into two paths; one path (iDS) is through the gradually switching-off 
	MOSFET and the other (iSn) is through the diode of the Snubber to 
	charge the capacitor (CSn). Since the voltage on CSn cannot 
	change abruptly, the rising rate of the MOSFET voltage is then reduced. Besides, 
	the original switching-off power dissipation of the MOSFET now gets to transfer 
	to the Snubber. Figure 15 shows the voltage and current waveforms of a passive 
	voltage clamp RCD Snubber, operating in discontinuous conduction mode (DCM).
	
	
	
	
	Figure 14. A flyback converter with a passive voltage clamp RCD snubber circuit 
	added 
	
	
	
	Figure 15. The voltage and current waveforms of a passive voltage clamp RCD 
	Snubber (DCM) 
	The moment the MOSFET turns OFF, the diode of the Snubber 
	turns ON. The rising slope (mi_Sn) of the leakage inductor current 
	of the transformer is as below: 
	
	
	
	where iSn is the current through the diode of 
	the Snubber. 
The ON-time (tSn) of the diode of the Snubber is 
	as below: 
	
	
	
	According to different modes of operation, peak current (iDS_Peak) 
	of a flyback converter can be differentiated as:
	Peak current (iDS_Peak_DCM) of the switching MOSFET, operating 
	in discontinuous conduction mode, is as below:
	
	
	
	Peak current of the switching MOSFET, operating in continuous conduction 
	mode (iDS_Peak_CCM), is as below:
	
	
	
	where Pin is the input power of a flyback converter.
	Power dissipation of the Snubber (PSn) is as below:
	
	
	
	where the capacitor voltage (VSn) is usually set as 2~2.5 times 
	of n×(VO + VF).
	Take equation (10) into Electric Power Formula, the resistor value (RSn) 
	of the Snubber can be obtained:
	
	
	
	The voltage ripple (ΔVSn) of the capacitor (CSn) of 
	the Snubber is usually set as 5~10% of the capacitor voltage (VSn). 
	Based on Volt-Second Balance Principle, the capacitor value (CSn) 
	of the Snubber can be derived, as below:
	
	
	
	The maximum drain-source voltage (VDS) of the switching MOSFET 
	in a flyback converter usually occurs when the system operates at the highest 
	input voltage and full load condition. Therefore, it can be used as a design 
	condition to find the capacitor and resistor values in the design of the passive 
	voltage clamp RCD Snubber for a flyback converter. As for the diode in the Snubber, 
	a fast diode is the typical choice. Figure 16 shows the comparison of the stress 
	on the switching MOSFET of the same flyback converter power supply system, with 
	and without a passive voltage clamp RCD Snubber. An optimized passive voltage 
	clamp RCD Snubber can effectively reduce stress of MOSFET to prevent damage 
	and to enhance reliability of circuit operation, and also to improve the EMI 
	problem induced by high-frequency oscillation. 
	
	
	
	Figure 16. Comparison of the stress of the MOSFET, with vs. without a passive 
	voltage clamp RCD Snubber 
	
	5. Conclusion
	Power MOSFETs, switching components, play an important role in switching 
	power converters. Flyback converters have the features of isolation between 
	primary and secondary sides, simple circuit architecture, few components, and 
	low cost, etc. so that they are widely used. The maximum stress of the MOSFET 
	in a flyback converter does not necessarily occur when operating at steady state 
	with full load. Instead, start-up time of a flyback converter is what to be 
	carefully examined. This application note provides the theoretical explanation, 
	verified by the experiment results, and investigates “how to effectively eliminate 
	over-stress of MOSFET during start-up of flyback converter” comprehensively 
	in many different aspects: they are from the core of the system – the soft start 
	function of a flyback controller IC, the system level – feedback stability compensation 
	of a power system, finally to the added application circuit – analysis and design 
	of a passive voltage clamp RCD Snubber. It aims to provide R & D engineers 
	with a good reference on how to reduce stress of the MOSFET to prevent damage 
	and to enhance reliability of circuit operation in the development and design 
	of a flyback converter power supply system.