Improved Repetitive Control for an LCL-Type Grid-Tied Inverter with Frequency Adaptive Capability in Microgrids
Abstract
:1. Introduction
2. Grid-Tied Inverter System Modeling
3. Improved RC
3.1. CRC
3.2. The Proposed IRC
4. The Proposed Frequency Adaptive IRC
4.1. Fractional Delay FIR Filter
4.2. Stability Analysis of FA-IRC System
- The roots of within the unit circle.
- .
4.3. Characteristic Analysis
5. Simulation Verification
5.1. Steady State Response
5.2. Transient Response
6. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
Abbreviations
IRC | Improved repetitive control |
RC | Repetitive control |
CRC | Conventional repetitive control |
HORC | Higher-order repetitive control |
FA-IRC | Frequency adaptive improved repetitive control |
FD | Fractional delay |
FIR | Finite impulse response |
IIR | Infinite impulse response |
PIMR-RC | Proportional integral multi resonant-type repetitive control |
IMP | Internal model principle |
THD | Total harmonic distortion |
PWM | Pulse width modulation |
ZOH | Zero-order holder |
PLL | Phase-locked loop |
PCC | Point of common coupling |
QPR | Quasi-proportional resonant |
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Parameters | Symbols | Value | Parameters | Symbols | Value |
---|---|---|---|---|---|
DC-link voltage | 380 V | equivalent resistance | 0.48 | ||
Fundamental frequency | 50 Hz | Grid-side inductor | 2.5 mH | ||
Sampling frequency | 10 kHz | equivalent resistance | 0.32 | ||
Switching frequency | 10 kHz | Output filter capacitance | C | 10 μF | |
Inverter-side inductor | 3 mH | Passive dam** resistor | 10 | ||
RMS value of grid voltage | 220 V | Switching dead time | - | 3 μs |
Frequency (Hz) | 49.5 | 49.6 | 49.7 | 49.8 | 49.9 | 50 | 50.1 | 50.2 | 50.3 | 50.4 | 50.5 |
202 | 201.6 | 201.2 | 200.8 | 200.4 | 200 | 199.6 | 199.2 | 198.8 | 198.4 | 198 |
D | |||
Fundamental Frequency (Hz) | THD Results of Different Control Systems (%) | ||||
---|---|---|---|---|---|
QPR | CRC | IRC | IRC with IIR | Proposed FA-IRC | |
49.6 | 4.19 | 1.70 | 2.36 | 0.62 | 0.59 |
49.7 | 4.19 | 1.52 | 1.51 | 0.67 | 0.66 |
49.8 | 3.97 | 1.22 | 0.99 | 0.72 | 0.59 |
49.9 | 3.96 | 0.80 | 0.75 | 0.67 | 0.68 |
50 | 3.91 | 0.60 | 0.67 | 0.67 | 0.67 |
50.1 | 3.98 | 0.91 | 0.84 | 0.64 | 0.67 |
50.2 | 3.87 | 1.43 | 1.59 | 0.64 | 0.66 |
50.3 | 3.80 | 1.69 | 2.17 | 0.68 | 0.61 |
50.4 | 3.93 | 1.73 | 2.40 | 0.62 | 0.70 |
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Zhang, H.; Zhao, Q.; Wang, S.; Yue, X. Improved Repetitive Control for an LCL-Type Grid-Tied Inverter with Frequency Adaptive Capability in Microgrids. Electronics 2023, 12, 1736. https://doi.org/10.3390/electronics12071736
Zhang H, Zhao Q, Wang S, Yue X. Improved Repetitive Control for an LCL-Type Grid-Tied Inverter with Frequency Adaptive Capability in Microgrids. Electronics. 2023; 12(7):1736. https://doi.org/10.3390/electronics12071736
Chicago/Turabian StyleZhang, Hongwei, Qiangsong Zhao, Shuanghong Wang, and Xuebin Yue. 2023. "Improved Repetitive Control for an LCL-Type Grid-Tied Inverter with Frequency Adaptive Capability in Microgrids" Electronics 12, no. 7: 1736. https://doi.org/10.3390/electronics12071736