In order to solve the problem of network topology connectivity representation of the global power energy internet

by employing the network connection matrix analysis method

the earth’s continents

poles and their interconnections are abstracted as eight nodes and connection channels

which form a connected network and the corresponding connection matrix. Typical power system sectionalizing states and single/bidirectional connection types are selected. Then the spectral norms and spectral condition numbers of the corresponding connection matrixes are calculated and analyzed. The ill-conditioned connection matrixes are improved. The results show that the spectral norm and the spectral condition number can be used as the representation parameters of connection matrixes of the global power energy internet topology. The spectral norm can be used to characterize the complexity of the network topology connectivity. The stability or sensitivity of the corresponding system can be characterized by the spectral condition number. Analyzing system stability using the network connection matrix can serve as an analytical tool for the interconnection of bulk power networks. This work is supported by State Grid Corporation of China (No. 5442PD140014).