Condition Number Monitoring of Power Flow Jacobian Matrix to Detect Impending Voltage Instability

A new methodology is proposed here to detect impending voltage instability in power transmission system by considering the power flow Jacobian matrix. Condition number of power flow Jacobian matrix is computed using QR iteration method and this condition number is used as detecting signal for voltage instability. Eigen values and eigen vectors of the power flow Jacobian matrix were also obtained from this QR iteration algorithm. These eigen values and eigen vectors are then used for identifying weak nodes in the system. The effectiveness of this methodology is applied on standard IEEE 14 bus test system. The results shows that this methodology has the prowess to detect the impending voltage instability.