Voltage stability calculations in power transmission lines: Indications and allocations

In recent years, voltage stability problems have been increasing since power systems operate close to stability limits and large amounts of power are being transferred from long distance. Accurate determination of voltage collapse points with rapid line voltage stability analysis, indications and allocations, allows operators to take necessary action to prevent such collapse incidents. Although several methods have been used in voltage stability analysis, successful avoidance of power collapse is depends on accuracy, rapid indications and very low computation time. This paper presents an efficient method for conducting line voltage stability analysis in power systems. This newly developed method is accurate, fast, simple, and theoretically proven for finding precise voltage collapse points and for determining voltage stability at each transmission line. Voltage stability margins can be easily calculated, providing an indication of how far the transmission line is from its severe load condition and allowing separate analysis if one transmission line is highly stressed. The proposed method was demonstrated on the IEEE 14-bus system and compared with existing methods to show its effectiveness and efficiency.