The synergistic network analysis framework incorporates the fast community detection strategy and eigenvector centrality for the patent family citation networks in the electricity generation sector. When the radical fundamental technologies have the great central influences in the electricity generation sector patents, the isolating incremental innovations are the subsequent inheriting technologies without the sufficient industry exposure. The general simplified family citation network summarizes the complex structure in the potential consecutive outcomes and stable technological innovations. There is the sharp cut-off between the lower centrality patent family and higher centrality patent family for the compound transitional influences in the patent family citation networks.