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LM27403: shutdown an unable to restart during moderate transients and loads

Part Number: LM27403
Other Parts Discussed in Thread: CSD17309Q3, CSD17312Q5

We are using an LM27403 in our 12V 3p3V supply, Imax=9A. Starting with the Webench reference design:

we implemented the converter as shown here (C18,C32 andC38 are not stuffed) :

  

Webench Part Webbench Part Number Quantity Attribute 1 Value Footprint Design Refdes Reach_PN
Css GRM155R71E393KA88D 1 39nF 402 C35 11-0182-01
Cboot C0603C104Z4VACTU 1 100nF 603 C17 11-0116-01
Cc1 C2012C0G1H472K060AA 1 4.7nF 805 C33 11-0184-01
Cc2 CL21C471KBANNNC 1 470pF 805 C36 11-0128-01
Cc3 CL21C621JBCNNNC 1 620pF 805 C21 11-0183-01
Cd GRM033R71A152KA01D 1 1.5nF 201 C2 11-0185-01
Cdd GRM219R61E106KA12 1 10uF 805 C31 11-0170-01
Cf GRM188R61E105KA12D 1 1uF 603 C30 11-0186-01
Cin CL32B106KBJNNWE 3 10uF 1210_270 C20 11-0173-01
Cotp GRM155R61C104KA88D 1 100nF 402 C34 11-0116-01
Cout GRM32ER60J476ME20L 1 47uF 1210_270 C32 11-0187-01
Cs C0603C224Z4VACTU 1 220nF 603 C19 11-0188-01
Csby TMK063CG101JT-F 1 100pF 201 C29 11-0181-01
Dboot SBR0230T5-7-F 1 0.58V SOD-523 D4 08-0104-01
L1 XAL1010-472MEB 1 4.7uH XAL1010 L1 18-0062-01
M1 CSD17309Q3 1 30V DQG0008A Q3 08-0105-01
M2 CSD17312Q5 1 30V TRANS_NexFET_Q5 Q6 08-0106-01
Q1 MMBT3904T 1 0.2A SOT-523 Q5 08-0107-01
Rc1 CRCW04023K57FKED 1 3.57kOhm 402 R24 10-0380-00
Rc2 CRCW040254R9FKED 1 54.9Ohm 402 R20 10-0381-00
Rcs CRCW04023K09FKED 1 3.09kOhm 402 R16 10-0382-00
Rf CRCW04022R21FKED 1 2.21Ohm 402 R4 10-0383-00
Rfadj RC0201FR-07105KL 1 105kOhm 201 R22 10-0384-00
Rfbb RC0603FR-074K3L 1 4.3kOhm 603 R23 10-0385-00
Rfbt ERJ-6ENF2002V 1 20kOhm 805 R19 10-0379-00
Rotp CRCW040284K5FKED 1 84.5kOhm 402 R21 10-0386-00
Rpgood RC0201FR-0756K2L 1 56.2kOhm 201 R18 10-0387-00
Rs CRCW04028K25FKED 1 8.25kOhm 402 R3 10-0388-00
Rset CRCW04023K09FKED 1 3.09kOhm 402 R17 10-0382-00
U1 LM27403SQ/NOPB 1   WQFN-24   02-0239-01

The issue is that if the design is started under moderate load, a load transient of more that ~2A is applied or a total load of more that 5A is applied the converter shuts off and cannot restart until the load is removed.

recompensating the design to give more phase/gain margin:

improves the stability slightly but not much. do you have suggestions on troubleshooting what's going on here?