Directly calculating the sensitivity of loading margin

作者：An Yi Chun^*; Zhang Qing Ling; Su Zhan

来源：Electric Machines and Control, 2008, 12(4): 415-419.

• Eigen vectors
• Iteration step
• Jacobi matrices
• Large power systems
• Loading margin
• Margin index
• Power system
• Power system modelling
• Power systems
• Saddle-node bifurcation
• Saddle-node bifurcations
• Sensitivity
• Simulation results
• Stability index
• Standard testing
• Static voltage stability
• Voltage collapse

For a differential-algebraic power system model with parameters, the saddle-node bifurcation is one of the more universally existent static bifurcations. Saddle-node bifurcation always leads to oscillate and collapse. The loading margin is used as stability index, but the loading margin of power system is influenced easily by parameters of the system, that is, the sensitivity of loading margin with respect to any parameters. A new method is derived to directly calculate the sensitivity of loading margin to voltage collapse with the parameters variation. This method only needs to solve linear equations with extended Jacobi matrix. Because of avoiding the iteration step to compute the left eigenvector, this method is simpler and quicker for computing sensitivity, and more applicable for analyzing static voltage stability. 118-bus IEEE standard test system is studied and simulation results verify the validity of the method for large power systems.

• 出版日期2008
• 单位东北大学