According to PowerShell documentation:
$MyInvocation
Contains an information about the current command, such as the name,
parameters, parameter values, and information about how the command was
started, called, or "invoked," such as the name of the script that called
the current command.
$MyInvocation is populated only for scripts, function, and script blocks.
You can use the information in the System.Management.Automation.InvocationInfo
object that $MyInvocation returns in the current script, such as the path
and file name of the script ($MyInvocation.MyCommand.Path) or the name of a
function ($MyInvocation.MyCommand.Name) to identify the current command.
This is particularly useful for finding the name of the current script.
Also see the following paragraph if you are interested in the script path:
Beginning in Windows PowerShell 3.0, $MyInvocation has the following new
properties.
-- PSScriptRoot: Contains the full path to the script that invoked the
current command. The value of this property is populated only when
the caller is a script.