Hi @alan_yu,
Chapter 41.1.6 from S32K3XX reference manual describes the operational power modes. There are only two: RUN mode and STANDBY mode.
However, the driver can separate the steps for transition and fast/normal wake up. If we call STANDBY, the driver will go through SOC_PREPARE_STANDBY, SOC_STANDBY and CORE_STANDBY —but we can call all the modes individually.
For example, we can have the SOC in RUN mode, and just one core can call CORE_STANDBY, that would stop one core with WFI.
The MCU can wakeup via the FAST wakeup instead of the normal wakeup. Chapter 41.2 describes FAST vs. NORMAL STANDBY exit.
As for the other options, RTD_MCU_UM.pdf describes them:
I suggest looking at the source code to know what steps are divided. You can refer to these low power examples:
Best regards,
Julián