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This paper presents a novel calculation framework for TTC evaluation with transient stability (TS) constraints with respect to an usual or a critical contingency set. The basic solution strategy for TTC evaluation is introduced, and the whole system architecture and computing flow are given in this paper. In order to implement the security margin of large-scale interconnected power system efficiently and rapidly, especially for on-line application, a novel distributed parallel computing architecture design philosophy, called as optimal workstation cluster computing model is proposed. Furthermore, some key module design philosophies are issued as well. The proposed distributed parallel computing platform can be easily and conveniently embedded into the existing dynamic security assessment (DSA) system or such systems related to power market to implement the on-line security assessment. On the other hand, the distributed parallel computing platform can make intensive off-line simulation related to the specified case studies.