The Lagrange Mechanization and Application of Multi-Machine Power System
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The fast development of Hamilton system theory provides a powerful tool for the nonlinear control and stability analysis of power system. The construction of Hamilton function plays an important role in Hamilton realization. Based on Hamilton canonical equations, the energy integration of system is given. This paper expands the odd-order power system to even-order system and gives the responding conditions of Hamilton realization by using the self-adjoint methods of analytical mechanics. Besides, the standard Hamilton form of power system is derived by the combinations of Lagrange mechanization and Hamilton theory, and the form of Hamilton function is also given. Based on non-conservative analytical mechanical principles, the controllers are designed in allusion to the characteristics of power system and Matlab program is realized in IEEE3-9 standard system. The simulation effects are discussed in the transient conditions of three-phase fault by comparison of different approaches, which proves the effectiveness of the control strategy. This approach to construct Hamilton function and design the controllers has an extensive prospect of application
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