基于全微分的戴维南等值参数跟踪算法

研究解析现有戴维南等值参数计算结果错误的本质原因。考虑戴维南等值参数在跟踪计算过程中不断变化的实际情况，提出基于全微分的戴维南等值参数跟踪计算方法。该方法通过微分形式反映参变量的变化，克服了现有计算方法假设2个时步之间戴维南等值参数不变所带来的严重错误，具有适应性强，使用简单，计算量小的特点。直流简单系统计算分析和IEEE10节点仿真分析表明，基于全微分的戴维南等值参数跟踪计算方法，能保证戴维南等值参数跟踪计算的结果贴近实际值。

Tracing Algorithm for Thevenin Equivalent Parameters Based on Complete Differential Equation

The popular algorithms for Thevenin equivalent parameters, which is now widely used, and its major reason leading to wrong results were analyzed. Tracing algorithm for Thevenin equivalent parameters based on complete differential equation was presented in consideration of parameter variation during calculation. Differentiation characterizes the parameter variations in this method. This method overcomes computation error caused by the assumption that the parameters remaining constant in two neighboring time steps. It is adaptable, simple and less computation. The analysis results of DC simple system and IEEE 10 system show that the algorithm can guarantee the tracking Thevenin equivalent parameters close to the reality.