Powershell – How to create a Windows Service in Powershell for “Network Service” account

I want to create a Windows Service using Powershell. Creating it for a given user is piece of cake. I used this function adapted from here.

function ReinstallService1 ($serviceName, $binaryPath, $login, $pass)
{  
    Write-Host "installing service"
    # creating credentials which can be used to run my windows service
    $secpasswd = ConvertTo-SecureString $pass -AsPlainText -Force
    $mycreds = New-Object System.Management.Automation.PSCredential ($login, $secpasswd)

    # creating widnows service using all provided parameters
    New-Service -name $serviceName -binaryPathName $binaryPath -displayName $serviceName -startupType Automatic -credential $mycreds
    Write-Host "installation completed"
}

My question is: How can I create for "Network Service" account?

If I modify New-Service line and remove credential parameter, the service is created for "Local System" account. Nearly miss.

New-Service -name $serviceName -binaryPathName $binaryPath -displayName $serviceName -startupType Automatic 

I googled a lot and saw no way of indicating service account. If I try to use Credential parameter for user "NETWORK SSERVICE", I don't know what password to put and if I invent one (just in case cmdlet ignores it) it doesn't work. The error is:

New-Service : Service 'XXXX (XXXX)'
cannot be created due to the following error: The account name is
invalid or does not exist, or the password is invalid for the account
name specified