There might be custom IP in those designs that have not been copied over. In the power management design look for IP directories containing files with a .tcl extension. Often the designer will put these in a subdirectory "/ip" under the top level directory. Once those have been copied over if you open the HDMI system in Qsys those custom IP should show up in the component library so that you can instantiate them in your design. You can have more than one design open at a time so when you are instantiating the IP from the power monitoring design in the HDMI design you can have the power monitor design open at the same time to refer to.