How to locate my lost iPhone which ran out of Battery?

Read this support article about what to do if a iPhone or iPad is lost or stolen -->

If your iPhone or iPad is lost or stolen - Apple Support

- Note that if you remotely erase your device as instructed in this article, if you subsequently remove it from your account as in this article --> Check your Apple ID device list to find where you're signed in - Apple Support , then according to this article --> How to remove Activation Lock - Apple Support you remove activation lock from the device. Do not remove it from your account. If you do then a finder or thief will have an unlocked device that can be used by another person.

If Find My iPhone is offline or not working, read this Apple Support article to get help; e.g., when you don't see your device listed, or you see an unexpected device or an alert that says your device is offline. --> If Find My is offline or not working - Apple Support

If your iPhone is completely out of power, and nobody plugs it into power, it will not be able to report its location electronically.

You will need to look for it the old-fashioned way. Assuming that it is lost, and not stolen. (If you know it's stolen, you might not want to travel to places where criminals gather.)

If you get any e-mails or messages claiming to be from "Apple Security" or the like, and supposedly wanting to reunite you with your iPhone – do not reply.

These will be from dishonest people, trying to get you to provide your Apple ID and Apple ID password – or to remove the phone from the list of devices associated with your ID – so they can "make your phone their own."