  Optimal power management of shipboard power system for failure mode (OPMSF)
is a significant and challenging problem considering the safety of system and
person. Many existing works focused on the transient-time recovery without
consideration of the operating cost and the voyage plan. In this paper, the
OPMSF problem is formulated considering the mid-time scheduling and the faults
at bus and generator. Two- side adjustment methods including the load shedding
and the reconfiguration are coordinated for reducing the fault effects. To
address the formulated non-convex problem, the travel equality constraint and
fractional energy efficiency operation indicator (EEOI) limitation are
transformed into the convex forms. Then, considering the infeasibility scenario
affected by faults, a further relaxation is adopted to formulate a new problem
with feasibility guaranteed. Furthermore, a sufficient condition is derived to
ensure that the new problem has the same optimal solution as the original one.
Because of the mixed-integer nonlinear feature, an optimal algorithm based on
Benders decomposition (BD) is developed to solve the new one. Due to the slow
convergence caused by the time-coupled constraints, a low-complexity
near-optimal algorithm based on BD (LNBD) is proposed. The results verify the
effectivity of the proposed methods and algorithms.
