The Supplementary Damping Method for CLCC HVDC Based on Projective Control Theory
Abstract
:1. Introduction
2. Pole Assignment and Projective Control Theory
2.1. Pole Assignment Based on the Ackermann Formula
2.2. The Projective Control Theory
3. The Supplementary Damping Method for CLCC HVDC Based on Projective Control
3.1. The Basic Structure of CLCC HVDC
3.2. The Main Control of CLCC HVDC
3.3. The Supplementary Damping Control Strategy of CLCC HVDC
4. Case Study
4.1. Introduction to the Calculation System
4.2. The Projective Controller Design
4.3. The Simulation Verification
- (1)
- Case 1
- (2)
- Case 2
5. Conclusions
- (1)
- The projection controller, designed under pole placement state feedback control, can suppress low-frequency oscillations, demonstrating the effectiveness of CLCC HVDC additional damping control.
- (2)
- The projection controller directly utilizes retained eigenvalues to reduce the controller’s order, which not only better facilitates engineering practice compared to traditional high-order controllers but also adapts to various operating conditions, exhibiting strong control robustness.
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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Devices | Names | Values | Units |
---|---|---|---|
G1 | Rated Capacity | 600 | MW |
G2 | Rated Capacity | 400 | MW |
G3 | Rated Capacity | 600 | MW |
G4 | Rated Capacity | 400 | MW |
CLCC HVDC | Rated Capacity | 1000 | MW |
Rated DC voltage | 500 | kV |
Names | Devices | Values | Units |
---|---|---|---|
Mode Shapes | G1 | 1.23∠33.6° | 1 × 10−5 p.u. |
G2 | 0.26∠17.3° | 1 × 10−5 p.u. | |
G3 | 0.40∠−146.5° | 1 × 10−5 p.u. | |
G4 | 0.26∠−123.4° | 1 × 10−5 p.u. | |
The main Oscillation Frequencies | The whole system | 1.20 | Hz |
Eigenvalues | Damping Ratios (%) |
---|---|
−0.6869 + 7.5185i | 5.10 |
−0.6869 − 7.5185i | 5.10 |
−1.2129 + 4.8182i | 24.41 |
−1.2129 − 4.8182i | 24.41 |
−2.5678 + 1.1489i | 91.28 |
−2.5678 − 1.1489i | 91.28 |
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Zhao, F.; Xie, Z.; Zhang, W.; Qi, W.; Cai, H.; Xu, S.; Han, X.; Wang, Q. The Supplementary Damping Method for CLCC HVDC Based on Projective Control Theory. Electronics 2024, 13, 3261. https://doi.org/10.3390/electronics13163261
Zhao F, Xie Z, Zhang W, Qi W, Cai H, Xu S, Han X, Wang Q. The Supplementary Damping Method for CLCC HVDC Based on Projective Control Theory. Electronics. 2024; 13(16):3261. https://doi.org/10.3390/electronics13163261
Chicago/Turabian StyleZhao, Feifei, Zhenjian Xie, Wenjia Zhang, Wanchun Qi, Hui Cai, Sixuan Xu, Xingning Han, and Quanquan Wang. 2024. "The Supplementary Damping Method for CLCC HVDC Based on Projective Control Theory" Electronics 13, no. 16: 3261. https://doi.org/10.3390/electronics13163261