Yunnan Power Grid is planned to operate asynchronously with the main grid of China Southern Power Grid (CSG). When the time comes, the anti-interference ability of Yunnan Power Grid will be poor since it has a small system capacity and operates independently. There might be power angel problems and high frequency stability problems after DC system is blocked, and low frequency problems after large generators are tripped. This paper analyzes the stability characteristics of Yunnan Power Grid after asynchronous interconnection with CSG, also analyzes and assesses the effects of five stability control measures groups through simulation and comparison, finally proposes control measures such as generator tripping combined with FLC for high frequency problems, and decreasing DC power through FLC and shedding load for low frequency problems.