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This paper presents a security redispatching procedure that allows achieving an appropriate security level in terms of small-signal rotor angle stability. The proposed methodology is based on an OPF problem that explicitly considers security limits through stressed loading conditions. The solution of the proposed redispatching procedure yields the optimal preventive control actions to be implemented to ensure a given security level. The New England 39-bus, ten-machine and the IEEE 145-bus, 50-machine systems are used for illustrating, testing, and discussing the proposed technique.