Install app for SharePoint using PowerShell - permissions on user profiles

I'm trying to install our app using the PowerShell and after running the application I get an error while accessing the user profile data. We are using the following permissions in our app:

This is the part of the PowerShell where I set up the permissions:

Register-SPAppPrincipal -DisplayName $appName -NameIdentifier $appIdentifier -Site $web 
$principal =  Get-SPAppPrincipal -Site $siteCollection -NameIdentifier $appIdentifier
Set-SPAppPrincipalPermission -Site $siteCollection -AppPrincipal $principal -Scope SiteSubscription -Right FullControl

If the app is installed from SharePoint it works perfectly, therefore I thinkt the problem lays in the app permissions.