GTX TITAN X always on power state P0

The machine has 2 identical GTX Titan X GPUs, running Ubuntu 14.04 LTS. However, the two GPUs’ power state is always P0 even if there is no load at all (no programs using cuda is running, graphical user interface is turned off). This leads to high temperature and high power consumption. Is there a way to set or modify GPU power state?

Below is the output of nvidia-smi command:
±----------------------------------------------------------------------------+
| NVIDIA-SMI 418.56 Driver Version: 418.56 CUDA Version: 10.1 |
|-------------------------------±---------------------±---------------------+
| GPU Name Persistence-M| Bus-Id Disp.A | Volatile Uncorr. ECC |
| Fan Temp Perf Pwr:Usage/Cap| Memory-Usage | GPU-Util Compute M. |
|===============================+======================+======================|
| 0 GeForce GTX TIT… Off | 00000000:01:00.0 Off | N/A |
| 0% 46C P0 69W / 250W | 0MiB / 12211MiB | 0% Default |
±------------------------------±---------------------±---------------------+
| 1 GeForce GTX TIT… Off | 00000000:02:00.0 Off | N/A |
| 0% 43C P0 57W / 250W | 0MiB / 12212MiB | 0% Default |
±------------------------------±---------------------±---------------------+

±----------------------------------------------------------------------------+
| Processes: GPU Memory |
| GPU PID Type Process name Usage |
|=============================================================================|
| No running processes found |
±----------------------------------------------------------------------------+

nvidia-bug-report.log.gz (1.34 MB)

Please enable nvidia-persistenced to start on boot and continuously run.
Furthermore, you’ve been running into an XID 79 before, so please also check for overheating and failing power spply.