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A new method based on graph theoretic approach is presented to solve the measurement placement problem for power system state estimation. The proposed method allows measurement placement without iterative additions. The measurement configurations are designed for IEEE 14 and 30 bus systems. Utilizing the proposed measurement system configuration the network observability is tested for P-θ and Q-V models by triangular factorization of the gain matrix. The designed metering scheme assures network observability and accomplishes better accuracy and bad data processing requirements for state estimator. The developed method can be used for measurement systems planning to maintain overall system observable even under branch contingencies and loss of measurements.