Short battery life is a common symptom of not having enough Zigbee Router devices or EMI/RMI (EMF and radio interference) that are causing bad reception and therefore the messages need to be resent which drains the battery. The Best practice is that all battery devices should connect to a Zigbee Router device close to it in the same room that will relay/forward the messages, and not connect directly to the Zigbee Coordinator.
Anyway, most common issues are either EMI or/and having too few Zigbee Router devices, and regardless of the root cause, before troubleshooting any deeper you should first really take some basic actions to avoid EMI and add more Zigbee Router devices that act as repeaters/extenders so try to follow all the best practice tips in this guide (as simply doing so removes most known Zigbee issues), see → Zigbee networks: how to guide for avoiding interference + optimize using Zigbee Router devices (repeaters/extenders) to get a stable network with best possible range and coverage
Also suggest upgrade to a later Zigbee Coordiantor firmware → https://darkxst.github.io/silabs-firmware-builder/ (more info here → GitHub - darkxst/silabs-firmware-builder: Silicon Labs firmware builder)
If still have problems after doing all of that then recommend factory reset the Philips Hue smart plug device and re-pair it to ZHA again for new interview, (there should be no need to remove it from ZHA).
Plus read all of these other ZHA documentation sections which can also be related:
- https://www.home-assistant.io/integrations/zha#best-practices-to-avoid-pairingconnection-difficulties
- https://www.home-assistant.io/integrations/zha#using-router-devices-to-add-more-devices
- https://www.home-assistant.io/integrations/zha#zigbee-interference-avoidance-and-network-rangecoverage-optimization
- https://www.home-assistant.io/integrations/zha#defining-zigbee-channel-to-use