This paper deals with optimal employment of power quality monitors (PQMs) in transmission networkson the basis of the idea of monitor reach area. The proposed model uses binary string, representing the installation modeof PQMs (Yes or No) in each bus of the network. In the current article, the binary version ofthe teaching learning-based optimization algorithm (BTLBO) is used. It has the ability to enhance the search potential and provides a rapid and secure convergence rate in the optimization process. The concept of redundancy is considered in this study. Theoverall cost function is formulated to optimize the two indices. The first one is the index of monitoring overlap, and the second one is the index of sag severity. Amongthe solutions whoseobjective function experiments the minimum value, the evaluating the redundancyindexgives the final optimal answer. With an excellent redundancy, the buses of the system faced with faults are monitored more times, on average. In the current research, DIGSILENT software is employed in short circuit analysis, whereas the BTLBO manages the optimization process. In the proposed algorithm, the IEEE 30 Bus transmission network is consideredas a case study, and results are compared to similar investigations to clarify the impressiveness of the proposed algorithm.