Hi,
Based on my research, beginning with Windows Server 2008, it is not supported to restore system state backup to a new installation of Windows Server on new hardware or the same hardware.
If Windows Server is reinstalled on the same hardware, as recommended later in this guide, then you can restore the domain controller in this order:
Perform a full server restore in order to restore the operating system and all files and applications.
Perform a system state restore using wbadmin.exe in order to mark SYSVOL as authoritative.
Best Regards,