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Based on the stability margin provided by the EEAC, the unstable contingencies can be classified into sets according to their unstable modes. This two-part paper develops a globally optimal algorithm for transient stability control to coordinate preventive actions and emergency actions. In the first part, an algorithm is proposed for a set of contingencies having identical unstable modes. Instead of iterations between discrete emergency actions and continuous preventive actions, the algorithm straightforwardly searches for a globally optimal solution. The procedure includes assessing a set of insufficient emergency schemes identified by the EEAC; calculating the related preventive actions needed for stabilizing the system; and selecting the scheme with the minimum overall costs. Simulations on a Chinese power system highlight its excellent performance. The positive results obtained are explained by analogizing settlements for 0-1 knapsack problems using the multi-points greedy algorithm.

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Abstract
1. INTRODUCTION
2. THE FOUNDATIONS AND FRAMEWORK
3. OPTIMIZING TSC FOR CASES WITH IDENTICAL UMS
4. THE ALGORITHM FOR CASES WITH IDENTICAL UMS
5. SIMULATIONS
6. DISCUSSION
7. CONCLUSIONS
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UCI(KEPA) : I410-ECN-0101-2010-560-001700421