To address the problem of insufficient system reserve capacity caused by high wind farm penetration

a multi-objective optimal allocation method for energy storage reserve capacity considering line flexibility carrying capacity is proposed. First

the concept of line flexibility carrying capacity is introduced

and a multi-objective optimal model for energy storage reserve capacity allocation is constructed. Second

for solving the constructed multi-objective optimization model

an improved normalized normal constraint is proposed

which avoids the inclusion of locally dominated solutions in the Pareto solution set. Finally

case studies on the modified IEEE39-bus system show that the proposed method can not only effectively alleviate the reserve shortage problem caused by high wind power penetration

but also reserve sufficient transmission margin.