You can initiate Live migration using Windows PowerShell scripts for failover clustering. This is one of the steps documented in Hyper-V: Using Live Migration with Cluster Shared Volumes in Windows Server 2008 R2 (http://technet.microsoft.com/en-us/library/dd446679%28WS.10%29.aspx#BKMK_initiateLM%29
To initiate a live migration using Windows PowerShell
Where: