This paper presents a new approach for determining the minimum load sh
edding to restore the solvability of a power system described by diffe
rential-algebraic equations. Through parameterization of a given contr
ol strategy (i.e. control direction in parameter space), the continuat
ion method is applied to find the equilibrium point associated with th
e system post-contingency boundary. Then, the invariant subspace param
etric sensitivity (ISPS) is used to determine the most effective contr
ol strategy so that a practical minimum load shedding can be derived.
The system adjustments that could further reduce the minimum load shed
ding, such as rescheduling of real power generations and changing of g
enerator terminal voltages are also investigated The approach is illus
trated with the New-England 39-bus system and the reduced Iowa 162-bus
system.