A Mixed-Integer Linear Programming Approach to Maintenance Budgeting in Electrical Distribution Networks Considering Repair Time Uncertainty

As a component of asset management strategies, maintenance management is essential for improving the reliability of the Electrical Distribution Networks (EDNs). To increase system efficiency, electricity companies invest a significant effort to assign their financial sources to important system components. In this paper, a mixed-integer linear programming approach to maintenance budgeting considering restoration time uncertainty is suggested. The suggested technique finds the optimal budget for doing maintenance tasks in distribution network feeders. The objective is to reduce overall cost, which includes total interruption cost of customer $\left(\boldsymbol{T} \boldsymbol{C}_{\boldsymbol{C I C}}\right)$, total energy not supplied ${cost}\left(T C_{E N S}\right)$, total cost of materials and labor for repair $\left(T C_{R E P}\right)$, and total cost of maintenance $\left(T C_{P M}\right)$. Three cases are also taken into account to observe the effectiveness of the suggested maintenance method: Case I assumes that no maintenance actions are performed in the system, in Case II, maintenance budget for each distribution feeder is taken into consideration equally, in Case III, according to constraints, the suggested formulation allocates the optimal maintenance budget. The Roy Billinton test system’s bus number two (RBTS2) is subjected to the proposed reliability improvement approaches, and the results are discussed.