scholarly journals Sampling Rate and Performance of DC/AC Inverters with Digital PID Control—A Case Study

Energies ◽  
2021 ◽  
Vol 14 (16) ◽  
pp. 5170
Author(s):  
Marian Blachuta ◽  
Robert Bieda ◽  
Rafal Grygiel

The huge influence of the sampling rate on the performance of the digital PID control of a voltage source inverter (VSI) is revealed. It is shown that an appropriately chosen continuous-time model of a digital controller with the PWM power converter behaves like the actual discrete-time system, which allows for a simple controller analysis and design. The variable structure nature of the inverter with both the RC rectifier and an abruptly changing resistive load with two modes of operation within the sampling period is directly taken into account. Two simulation models, a discrete-time PWM and a continuous-time, of an inverter are presented, which are used to tune the PID controller and to evaluate the control performance. The behavior of the system in both modes is explained on the basis of the root loci and frequency characteristics. The results obtained for three sampling rates: 12.8, 25.6, and 51.2 kHz, are presented and compared with an actual VSI experiment. A comparison with other results obtained for this VSI shows that properly tuned PID control outperforms the more sophisticated solutions based on the coefficient diagram method (CDM) and the passivity based control (PBC).

2011 ◽  
Vol E94-B (12) ◽  
pp. 3421-3428
Author(s):  
Fujio KUROKAWA ◽  
Tomoyuki MIZOGUCHI ◽  
Kimitoshi UENO ◽  
Hiroyuki OSUGA

Author(s):  
Fujio Kurokawa ◽  
Yuki Maeda ◽  
Yuichiro Shibata ◽  
Hidenori Maruta ◽  
Tsukasa Takahashi ◽  
...  

2019 ◽  
Vol 9 (16) ◽  
pp. 3220 ◽  
Author(s):  
Ryo Kurokawa ◽  
Takao Sato ◽  
Ramon Vilanova ◽  
Yasuo Konishi

The present study proposes a novel proportional-integral-derivative (PID) control design method in discrete time. In the proposed method, a PID controller is designed for first-order plus dead-time (FOPDT) systems so that the prescribed robust stability is accomplished. Furthermore, based on the control performance, the relationship between the servo performance and the regulator performance is a trade-off relationship, and hence, these items are not simultaneously optimized. Therefore, the proposed method provides an optimal design method of the PID parameters for optimizing the reference tracking and disturbance rejection performances, respectively. Even though such a trade-off design method is being actively researched for continuous time, few studies have examined such a method for discrete time. In conventional discrete time methods, the robust stability is not directly prescribed or available systems are restricted to systems for which the dead-time in the continuous time model is an integer multiple of the sampling interval. On the other hand, in the proposed method, even when a discrete time zero is included in the controlled plant, the optimal PID parameters are obtained. In the present study, as well as the other plant parameters, a zero in the FOPDT system is newly normalized, and then, a universal design method is obtained for the FOPDT system with the zero. Finally, the effectiveness of the proposed method is demonstrated through numerical examples.


Author(s):  
Mohammadreza Kamaldar ◽  
Syed Aseem Ul Islam ◽  
Sneha Sanjeevini ◽  
Ankit Goel ◽  
Jesse B. Hoagg ◽  
...  

2013 ◽  
Vol 760-762 ◽  
pp. 1075-1079
Author(s):  
Jin Zeng ◽  
Li Guang Wang ◽  
Meng Jun Ye ◽  
Chang Hui Hu ◽  
Tian Feng Ye

This paper introduces several PID control algorithms and their discretization expression. Compare the performance of positional PID algorithm with incremental PID algorithm, integration separate PID algorithm, incomplete differential PID algorithm and PID algorithm with dead zone. The experiment results show that different digital PID control algorithm could achieve different using.


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