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中文摘要：
提出基于隐函数求导法的注入空间静态电压稳定域和实用静态电压稳定域边界的二次近似算法。与现有的电压稳定域边界的线性近似方法相比，该方法能在大范围内更加精确地逼近稳定域边界，并能确定电压稳定域边界的凸凹性。进一步，利用状态变量对于参数变量的二次偏导数，给出线路空间中稳定域边界二次近似的解析表达式，进而得到割集空间中电压稳定域边界二次近似的解析表达式。据此可实现静态电压稳定域的可视化，并可指导电力系统的安全运行。IEEE-9和IEEE-39节点系统仿真验证了所提出算法的有效性。
英文摘要：
The algorithm of quadratic approximation of static voltage stability region boundary and practical static voltage stability region boundary in injection space based on implicit function derivative method was presented, which could approximate voltage stability region boundary more accurately in a much larger scope than current linear approximation method and determine the convex and concave characteristics of voltage stability region boundary. Also, the analytical quadratic approximation of voltage stability region boundary in line space was presented through the secondary partial derivative of state variables to parameter variables, which could derive the analytical quadratic approximation of voltage stability region boundary in cut-set space. Based on these methods, the visualization of static voltage stability region could be achieved to direct security operation of power system. The algorithm has been validated by the simulation result of IEEE-9 and IEEE-39 bus system.
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