Power BI Report Server is the on-premise version of Power BI that allows organizations to consume Power BI reports within their internal network behind the firewall. It provides a dedicated user interface and organizational resources to view and interact with Power BI reports on-premises. Power BI Embedded allows embedding Power BI reports and visualizations into third-party applications using REST APIs. It is used to distribute reports to a large audience without requiring each user to have a Power BI license. Premium capacity in Power BI provides dedicated cloud resources for large datasets, frequent refreshes and advanced capabilities like paginated reports and predictive analytics.