Currently, a spectrum of reliability tests are being performed by both device manufacturers and end users. Many of these qualification tests are operated within the device safe-operating-area (SOA), however, the devices often undergo dynamic events in many converter applications that can exceed the SOA boundaries. This paper presents our recent work on quantifying the out-of-SOA robustness of GaN power high-electron-mobility transistors (HEMTs) and SiC power MOSFETs by switching based tests. The unclamped inductive switching stresses are applied to p-gate GaN HEMTs to evaluate their surge-energy and overvoltage robustness. The continuous, hard-switching, turn-off stresses are applied to SiC MOSFETs to evaluate their overvoltage switching robustness. Both experiments demonstrate the robustness of SiC and GaN devices under out-of-SOA switching events, and the physics of degradation and failure are understood.