IE COM Automation In Private Browsing

I am doing some IE COM automation using PowerShell. While doing this I would like the IE application to run in Private mode, however I cannot find any information on doing this.

The PowerShell command that I am using to create the IE application is:

$ie = New-Object -ComObject 'internetExplorer.Application'

I would prefer to use In Private Browsing mode because I will be utilizing a website that may automatically log in the user using the wrong credentials.