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In unbundled electricity market managing transmission congestion is a real challenge for independent system operator. This paper presents placement of thyristor controlled series compensators (TCSC) at optimal location for maintaining voltage stability and mitigating congestion under single line contingency condition. Optimal location is found out by Line voltage stability index calculation. Congested lines are found out under contingency condition (single line outage). Critical contingencies are found out by finding performance index. Effect of placement of TCSC under critical contingency can be observed. TCSC is a member of Flexible AC Transmission Systems devices can reduce power loss in overloaded transmission lines, have ability to increase loadability, reduce system loss and maintains stability of power systems. Work is carried out on IEEE 14 bus test system using MATLAB.