SUMMARYA phase shifter has been used to control line flow. In the network with multiple loops, it is necessary to modify the angle of the phase shifter to reduce the flow on a certain line if it exceeds the limit. A new method to compute the value of the angle that is set to the phase shifter is proposed. The coefficient is computed by using two relations. No one is between the change of the lined flow on a certain line and modification of power injection and two notes. The other is between the change of the flow on a line in the change of the angle of a phase shifter. Then the phase angle is computed by multiplying the coefficient and the amount of flow on the line. The coefficients can be used for finding the locations where phase shifters will be placed in order to correct any overload that may occur at any line in the loops and can be used for computation of available transmission capacity. The validity of this method was shown by numerical examples using an IEEE 30 bus system.