Nonlinear dynamic analysis and surface sliding mode controller based on low pass filter for chaotic oscillation in power system with power disturbance |
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| Institution: | 1. College of Physics and Engineering, Chengdu Normal University, Chengdu 611130, China;2. Department of Transportation, Southeast University, Nanjing 210096, China;3. School of Mechanical and Vehicular Engineering, Beijing Institute of Technology, Beijing 100081, China;4. Research Institute of Internet of Mobility, Southeast University, China and UW-Madison, Nanjing 210096, China;1. Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762, USA;2. Department of Mathematics and Statistics, College of Science, Al-Imam Mohammad Ibn Saud Islamic University, Riyadh 13318, Saudi Arabia;3. Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria 0008, South Africa;4. Department of Mathematics, Faculty of Arts and Sciences, Uludag University, Bursa, 16059, Turkey;5. School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan 430212, People’s Republic of China;6. Science Program, Texas A&M University at Qatar, Doha, PO Box 23874, Qatar |
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| Abstract: | Chaotic oscillation in the power system often poses a great threat to the stability of the power grid, and the dynamic behaviors of fourth-order power system with power disturbance, which is more in line with the actual situation, are investigated firstly through Lyapunov exponent spectrums and bifurcation diagrams. It is found that the power system with power disturbance has more complex dynamic behaviors and larger domains of chaos. The disturbance terms also result in dynamic behaviors different from those of power system without disturbance, which sometimes brings system motions to period orbits with perturbation-related parameters limited in specific range. Moreover, a dynamic surface sliding mode controller with low pass filter is designed for chaotic suppression, and the relay characteristic function is selected as switching function to inhibit high-frequency chattering. Numerical simulations show that the sliding mode controller owns good effectiveness and strong robustness. |
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