Robust Partial Feedback Linearized Controller Design for Standalone Hybrid PV-BES System
Abstract
:1. Introduction
- Developed a parametric uncertainty model of a normalized mathematical model of the DC-DC voltage source converters.
- Investigated the noise decoupling capability of the feedback linearizing approach.
- The performance of the robust partial feedback linearized controller was investigated under load, measurement noise, and parameter variations.
2. Overview on Mathematical Model of Hybrid PV-BES System
2.1. Mathematical Model of the Solar Photovoltaic System
2.2. Mathematical Model of the Battery Energy Storage System
Generalized Dynamical Model of Photovoltaic and Battery Energy Storage System
3. Partial Feedback Linearized Control Scheme for Standalone PV-BES System
3.1. Determine Relative Degree
3.2. Nonlinear Coordinate Transformation of Linearized System
3.3. Zero Internal Dynamic Stability
3.4. Feedback Linearized Control Law Formulation
3.5. Transfer Function of Linearized System
4. Robust Controller Design for Partially Linearized Standalone PV-BES System
4.1. Uncertainty Modeling
4.2. Noise Decoupling Capability of Designed Partial Feedback Linearized Controller
4.3. Mixed-Sensitivity-Based Robust Loop-Shaping Controller Design
5. Performance Evaluation of Standalone PV-BES System
5.1. Proposed Controller Performance Investigation under Generation Change
5.2. Proposed Controller Performance Investigation under Load Variation
5.3. Proposed Controller Performance Investigation under Parameter Variation
5.4. Proposed Controller Performance Investigation under Measurement Noise
6. Conclusions
Author Contributions
Funding
Conflicts of Interest
References
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Conditions | Norm Values |
---|---|
(42-a) | |
(42-b) | |
(42-c) | |
(42-d) | |
(42-e) |
Comparative Issues | Controller | Bus Voltage | PV Power | Storage Power | Load Power |
---|---|---|---|---|---|
Under or overshoot (%) | 0.00 | 0.00 | 0.00 | 0.00 | |
2.60 | 33.0 | 35.0 | 4.80 | ||
Settling time (s) | 0.00 | 0.00 | 0.00 | 0.00 | |
0.30 | 0.40 | 0.40 | 0.30 |
Comparative Issues | Controller | Bus Voltage | PV Power | Storage Power | Load Power |
---|---|---|---|---|---|
Under or overshoot (%) | 0.00 | 0.00 | 0.00 | 8.00 | |
4.00 | 52.0 | 67.0 | 12.0 | ||
Settling time (s) | 0.00 | 0.00 | 0.00 | 0.20 | |
0.25 | 0.70 | 0.70 | 0.25 |
Comparative Issues | Controller | Bus Voltage | PV Power | Storage Power | Load Power |
---|---|---|---|---|---|
Under or overshoot (%) | 5.00 | 85.0 | 350 | 16.0 | |
8.00 | 69.0 | 360 | 24.0 | ||
Settling time (s) | 0.25 | 0.30 | 0.30 | 0.30 | |
0.3 | 0.50 | 0.40 | 0.40 |
Comparative Issues | Controller | Bus Voltage | PV Power | Storage Power | Load Power |
---|---|---|---|---|---|
Under or overshoot (%) | 1.00 | 43.0 | 94.0 | 48.0 | |
3.00 | 35.0 | 131 | 13.0 | ||
Settling time (s) | 0.20 | 0.30 | 0.35 | 0.30 | |
0.2 | 0.45 | 0.50 | 0.30 |
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Mahmud, M.R.; Pota, H. Robust Partial Feedback Linearized Controller Design for Standalone Hybrid PV-BES System. Electronics 2021, 10, 772. https://doi.org/10.3390/electronics10070772
Mahmud MR, Pota H. Robust Partial Feedback Linearized Controller Design for Standalone Hybrid PV-BES System. Electronics. 2021; 10(7):772. https://doi.org/10.3390/electronics10070772
Chicago/Turabian StyleMahmud, Md Rasel, and Hemanshu Pota. 2021. "Robust Partial Feedback Linearized Controller Design for Standalone Hybrid PV-BES System" Electronics 10, no. 7: 772. https://doi.org/10.3390/electronics10070772