In comparison with the traditional controller PID, the fractional order controller PIλDμ is added with two parameters (μ and λ), that increases the flexibility of the controller. The larger adjustable space makes it more favorable to the control of the nonlinear system like the three-phase grid-connected inverter. However, since the fractional calculus operator is an irrational function on the complex plane, it can’t be implemented directly in simulation or in practical applications. In this paper, the advantages of the fractional order controller PIλDμ will be analyzed, then the fractional calculus operator is fitted by the frequency domain analysis method. Based on the vector method, the fractional order controller PIλDμ of the grid-connected inverter is designed. Simultaneously, the optimal controller parameters are searched with the ITAE and IAE as the performance index. And finally, the results are compared with those of the traditional controller PID. In consideration of the defects of fractional algorithm and single discretization method, a hybrid discretization method is proposed in order to ensure that the discretized controller can keep the same time-domain response and frequency characteristics as the designed controller. The experimental results show that the proposed method has the dynamic and static characteristics better than the traditional controller PID, which proves that the application of fractional order controller in three-phase grid-connected inverter is effective and feasible.
Skip Nav Destination
ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
August 6–9, 2017
Cleveland, Ohio, USA
Conference Sponsors:
- Design Engineering Division
- Computers and Information in Engineering Division
ISBN:
978-0-7918-5823-3
PROCEEDINGS PAPER
Design and Application of Fractional Order PIλDµ Controller in Grid-Connected Inverter System
Zhifeng Pan,
Zhifeng Pan
South China University of Technology, Guangzhou, China
Search for other works by this author on:
Xiaohong Wang,
Xiaohong Wang
South China University of Technology, Guangzhou, China
Search for other works by this author on:
Thi Thu Giang Hoang,
Thi Thu Giang Hoang
Thai Nguyen University of Technology, Thai nguyen, Vietnam
Search for other works by this author on:
Ying Luo,
Ying Luo
Huazhong University of Science and Technology, Wuhan, China
Search for other works by this author on:
Yangquan Chen,
Yangquan Chen
University of California, Merce, CA
Search for other works by this author on:
Lianfang Tian
Lianfang Tian
South China University of Technology, Guangzhou, China
Search for other works by this author on:
Zhifeng Pan
South China University of Technology, Guangzhou, China
Xiaohong Wang
South China University of Technology, Guangzhou, China
Thi Thu Giang Hoang
Thai Nguyen University of Technology, Thai nguyen, Vietnam
Ying Luo
Huazhong University of Science and Technology, Wuhan, China
Yangquan Chen
University of California, Merce, CA
Lianfang Tian
South China University of Technology, Guangzhou, China
Paper No:
DETC2017-67355, V009T07A001; 11 pages
Published Online:
November 3, 2017
Citation
Pan, Z, Wang, X, Hoang, TTG, Luo, Y, Chen, Y, & Tian, L. "Design and Application of Fractional Order PIλDµ Controller in Grid-Connected Inverter System." Proceedings of the ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 9: 13th ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications. Cleveland, Ohio, USA. August 6–9, 2017. V009T07A001. ASME. https://doi.org/10.1115/DETC2017-67355
Download citation file:
22
Views
Related Proceedings Papers
Related Articles
Frequency-Domain Identification of Linear Time-Periodic Systems Using LTI Techniques
J. Comput. Nonlinear Dynam (October,2009)
A Systematic Determination Approach of Model's Base Using Gap Metric for Nonlinear Systems
J. Dyn. Sys., Meas., Control (March,2016)
Comparison of Different Model-Free Control Methods Concerning Real-Time Benchmark
J. Dyn. Sys., Meas., Control (December,2018)
Related Chapters
Dynamic Simulations to Become Expert in Order to Set Fuzzy Rules in Real Systems
International Conference on Advanced Computer Theory and Engineering, 4th (ICACTE 2011)
GA Based Competitive Multi-Agent Controller for Nonlinear System
International Conference on Mechanical and Electrical Technology, 3rd, (ICMET-China 2011), Volumes 1–3
Robust Stabilizing Controllers for Nonlinear Systems That Have an Undesirable Equilibrium Point Using an Approximate Linearization
Intelligent Engineering Systems through Artificial Neural Networks, Volume 16