基于有限时间函数投影的电力系统混沌控制

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振动与冲击 ›› 2021, Vol. 40 ›› Issue (14) : 125-131.

论文

基于有限时间函数投影的电力系统混沌控制

王聪，张宏立，马萍

作者信息 +

Finite-time function projective synchronization control method for a chaotic power system

WANG Cong，ZHANG Hongli，MA Ping

Author information +

文章历史 +

摘要

电力系统作为复杂的非线性系统，其混沌振荡会表现为随机的、突发性的或情节严重的机电振荡，会伴随着非周期现象出现，将导致电力系统大区域和大面积的停电事故，严重威胁电网的安全稳定运行。为了有效地抑制电力系统的混沌行为，并充分考虑控制方法在实际工程中的应用价值，基于有限时间理论和函数投影同步理论，提出了一种有限时间函数投影同步控制的电力系统混沌控制方法。该方法借鉴混沌同步思想，通过将混沌电力系统与理想状态电力系统在有限时间内实现完全同步，间接地实现电力系统的混沌控制。推导了稳定性定理的数学证明，并进行了相应的数值模拟来验证该方法在电力系统混沌控制中的有效性。理论及仿真结果表明，该方法可以有效地使混沌电力系统在有限时间内实现稳定控制，且对外部干扰具有强鲁棒性。

Abstract

As a complex nonlinear system, the power system’s chaotic oscillations appear as random, sudden or severe electromechanical coupling oscillations, accompanied by non-periodic phenomena, which will lead to power outages in large areas and large districts.These chaotic oscillations seriously threatens the safe and stable operation of the power grid.In order to effectively suppress the chaotic behavior of the power system, and fully exert the effect of the control method in practical engineering, a chaotic control method for the power system with finite time function projection was proposed based on the finite time theory and function projection synchronization theory.The method could achieve complete synchronization between the chaotic power system and the ideal state power system in a limited time by drawing on the idea of chaotic synchronization, which means the method can indirectly achieve the chaos control of the power system.The mathematical proof of the system stability was derived, and then the corresponding numerical simulation was performed to validate the effectiveness of the method in the chaos control of the power system.The theoretical and simulation results show that the method can effectively enable the chaotic power system to achieve stable control within a limited time, and it also has strong robustness to external interference.

导出引用

王聪，张宏立，马萍. 基于有限时间函数投影的电力系统混沌控制[J]. 振动与冲击, 2021, 40(14): 125-131

WANG Cong，ZHANG Hongli，MA Ping. Finite-time function projective synchronization control method for a chaotic power system[J]. Journal of Vibration and Shock, 2021, 40(14): 125-131

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