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This study presents a new bifurcation point calculation method that is based on the continuation power flow (CPF) method. The algorithmic continuation steps are guided by the prediction of Q-limit breaking points. A Lagrange polynomial interpolation formula is used in this study in order to find the Q-limit breaking point indices that determine when the reactive power output of a generator has reached its limits. The algorithmic continuation steps will then be guided to the closest Q-limit breaking point, consequently reducing the number of continuation steps and saving computational time. The novel method is compared with alternative conventional and enhanced CPF methods. Studies have been undertaken on IEEE 30, IEEE 118, National Grid (NG) 61 and NG 953 bus systems.