Robust <i>N</i> – <i>k</i> CCUC model considering the fault outage probability of units and transmission lines

Robust optimisation has been applied to the dispatching problem considering fault outage of power systems. The traditional fault outage uncertainty set are too conservative. To solve this problem, a robust contingency constrained unit commitment (CCUC) model considering the outage probability of units and transmission lines is proposed. The proposed model has the following characteristics: (i) the outage probability of units is determined by normal operation time and fault repair time, whereas the outage probability of transmission lines is determined by length and load rate; (ii) based on the probability criterion of unit outage contingencies, the outage probabilities of units and transmission lines are both incorporated into the modelling of uncertainty sets; (iii) the robust CCUC model obtains UC decision of base case and the UC decision under uncertainty scenarios can adjust the output of units by spinning reserve capacity to cope with stochastic fault outage scenarios. The proposed robust CCUC model is solved with Benders‐column and constraint generation (C&amp;CG) method combined with Benders decomposition method and C&amp;CG method. Simulations on the modified IEEE‐RTS‐79 system and IEEE‐RTS‐96 system demonstrate the effectiveness and reliability of the proposed robust CCUC model.