The stable operation of the power dispatching automation system is essential for ensuring power system security. Conducting robustness testing on such systems is a prerequisite for guaranteeing their performance under abnormal and extreme conditions. A comprehensive analysis was carried out on methods for generating verification cases aimed at evaluating the robustness of power dispatching automation systems. This study examined the characteristics and testing challenges of power dispatching automation systems, as well as existing methods for generating verification cases. The inadequacy of current approaches in robustness testing for power dispatching automation systems was identified. A methodological framework for generating test cases for testing other complex system robustness was investigated. The analysis focusing on fitting accuracy and speed of variant surrogate models was conducted. Experimental tests showed that the Gaussian process classification model suits low-dimensional problems. The support vector machine model fits medium to high-dimensional problems. For problems exceeding 20 dimensions, the artificial neural network's fitting speed is 20 times faster than the support vector machine model. It also achieves satisfactory accuracy. The unresolved issues and potential technical pathways for applying this framework to power dispatching automation systems was further analyzed.