Electricity is an indispensable component of social development and people’s daily lives, making its safe production and operation of utmost importance. In recent years, China has increasingly emphasized the importance of safe operation management, aiming to enhance safety risk control across all sectors. This paper establishes and improves the safety operation management system for power grids within a three-dimensional control platform, strengthening the management of power grid operations. From a probabilistic risk perspective, the safety level of power grid operation management measures is analyzed, enabling quantitative analysis of the consequences of power grid safety incidents. A safety risk assessment index for power grids is proposed, and transient safety risks are calculated. Using a Markov-type simulation of basic component models and state sampling methods, the system’s safety risk assessment is conducted. Through simulation experiments, the voltage stability indicators of each load node under operational conditions are calculated. When the voltage enters an unstable warning state, the stability factors of nodes 4, 13, and 6 are relatively high, at 0.27485, 0.31856, and 0.38482, respectively. In terms of the precision of power operation safety visualization control, the highest control precision achieved by the method proposed in this paper reached 96.85%, improving the orderliness of power data and enabling the visualization control of the power information system to achieve relatively ideal results.