On-line voltage stability monitoring based on local phasor measurement is at present a very active branch of voltage stability assessment. It can be divided into local bus measurement based methods and local branch measurement based methods. The latter can be classified into three versions， the voltage stability indices based on the feasible solution region of quadratic equation of received bus voltage， the branch power transfer limit and the zero perturbation of branch complex power. A comprehensive review and their evaluation is given. The numerical results concerning an IEEE 39-bus test system show that the voltage stability indices and methods based on branch local measurement cannot be used in on-line voltage stability monitoring of a real large power system.