Dual-mode communication breaks down communication medium barriers and achieves complementary advantages of network resources. It has shown significant advantages in the collection of total curve data in the substation area and has become a key component of the smart grid. However

existing research mainly focuses on micro level aspects such as node random links and node networking. This paper proposes a synchronization capability analysis method for dual-mode communication network based on complex network theory

and derives the mathematical correlation between the hyper Laplacian matrix and its eigenvalues of dual-mode communication and the coupling strength within and between layers. Theoretical analysis shows that the synchronization capability of dual-mode communication networks is determined by the minimum non-zero eigenvalue of their Laplacian matrix. The simulation results indicate that the improvement of interlayer coupling is limited by the strength of intra layer connections. It is recommended to prioritize increasing the intra layer coupling strength to a critical value

and then increasing the inter layer coupling strength until the synchronization capability approaches saturation. If resources are sufficient

the optimization method will shift from parameter optimization to topology optimization by increasing proxy coordinator（PCO）nodes. The experimental results confirm that the synchronization ability decreases with the expansion of network scale

but the trend is consistent. The failure of key nodes leads to a sharp drop in synchronization ability. Therefore

key node protection is crucial for maintaining synchronization stability.