Study On Ferroresonance Chaotic Phenomenon In Power System Based On Fractional Calculus

With the rapid development of economy,the requirements for security and stability of the power system is increased.Ferroresonance is the most common fault in power system.It is a huge threat to the power equipment because of its long duration.The construction of the smart grid requires self-healing of power system,which demands in-depth understanding of the faults.Ferroresonance is usually caused by nonlinear inductance elements in the power system,such as the transformer of saturated iron core and the electromagnetic voltage transformer.When there is a fault excitation outside the system,the system enters a state of resonance and may come to the state of chaos in a serious case,which seriously affects the security of the power system.In the current stage,the research of ferroresonance chaotic phenomenon is generally based on the common integer-order calculus,while fractional calculus has unparalleled advantages in obtaining accurate models.In this paper,the fractional calculus is used to optimized the traditional model.And analyze the different performance of the ferroresonance chaotic phenomenon under the fractional order model.In the control of ferroresonance,sliding mode control is designed and proposed as a method of restraining ferroresonance chaotic phenomenon.Through the design of different fractional-order sliding mode surface,this paper proposes three slide mode control methods,and through the Lyapunov stability theorem the stability is proved.The chaotic synchronization of ferroresonance chaotic system with normal system is realized through numerical simulation,and the fault system come into normal finally.Analog circuit designed by Pspice which proves the existence in real at the last section of the paper.