Private cloud is where your servers live in a data center with all the redundancy that being in a data center provides. These servers are isolated from the Internet and other companies and effectively are private, so only you can see them or gain access.
According to webopedia, a Private Cloud has the same benefits of public Cloud but removes some objections to the Cloud computing model including control over enterprise and customer data, worries about security, and issues connected to regulatory compliance.
If you are considering moving to the cloud give us a call and we can assist you in determining if your organization is a good fit for the private cloud. 336-632-0860