摘要:A mine ventilation system is a large and complex system. Its stability is affected by many factors, and wind resistance change is one of the common influencing factors. In order to study the influence of branch wind resistance changes on the branch air volume and the stability of the ventilation system, this paper introduced the concept of sensitivity, constructing a mathematical model of the influence of branch wind resistance changes on air volume. Based on the model, the sensitivity of each branch can be calculated, the sensitivity matrix can be constructed, and the influence of the branch wind resistance change on the air volume change can be quantitatively expressed. The sensitivity matrix can be used to analyze the stability of the mine ventilation system and can be used as an indicator of the optimization and comparison of the ventilation system. The branch with the most influence and the most affected degree in the ventilation system can be obtained, so the sensitivity matrix can accurately determine the best branches to raise resistance (or reduce resistance). This study can guide the design and optimization of mine ventilation systems.