A Nonlinear Control Strategy for DC-DC Converter with Unknown Constant Power Load Using Damping and Interconnection Injecting
Abstract
:1. Introduction
2. Stability Analysis of DDBC Converter with CPL
2.1. Constant Power Load Characteristic
2.2. Stability Analysis of DDBC with CPL Based on Passivity
2.2.1. Effect of CPL on Stability of DDBC
2.2.2. Passivity Analysis of DDBC with CPL
3. IPBC of DDBC Based on PCHD Model
3.1. PCHD Model of DDBC
3.2. IPBC Design of DDBC
4. Unknown Nonlinear Power Observer and Preferences in IPBC
4.1. Nonlinear Power Observer of Unknown CPL
4.2. Design of Damping Injecting and Conductance Injecting for IPBC
4.3. Design of Interconnection Injecting for IPBC
- (1)
- First, the parameters γ, ra, and ja are designed according to (23), (30) and (31).
- (2)
- Second, the power of CPL is estimated according to (20), and ILD is calculated with the measured input voltage.
- (3)
- Finally, the duty cycle is calculated according to (19) with determined parameters and measured inductor current, output voltage, and input voltage.
5. Simulation and Experimental Results
5.1. Simulation Results
5.1.1. Tuning of Design Parameters
- NPO Gain
- 2.
- Positive Damping Injecting and Conductance Injecting
- 3.
- Interconnection Injecting
5.1.2. Simulation Verification
- Step Change in uS
- 2.
- Step Change in PCPL
5.2. Experimental Results
- Step Change in uS
- 2.
- Step Change in PCPL
6. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
Appendix A
References
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Symbols | Parameter Names | Values |
---|---|---|
uS | Input voltage | 30 V |
UCD | Desired average output voltage | 60 V |
ILD | Desired average inductor current | 2 A |
PCPL | Rated power | 60 W |
C | Capacitance | 940 μF |
L | Inductance | 2 mH |
fS | Switching frequency | 10 kHz |
ja | Interconnection injecting | 7 |
ra | Positive damping injecting | 6.36 |
ga | Conductance injecting | 3 |
γ | Power observer gain | 2000 |
Input Voltage Disturbance | Control Strategy | Fluctuation Peak Value of uC(V) | Transient Time of uC (ms) | Steady State Error (V) |
---|---|---|---|---|
30 V to 40 V | Proposed control strategy | ≈0 | ≈0 | ≈0 |
PBC [22] | 21 | - | 21 | |
IDA-PBC [28] | 3.1 | 33 | ≈0 |
CPL Disturbance | Control Strategy | Fluctuation Peak Value of uC(V) | Transient Time of uC (ms) | Steady State Error (V) |
---|---|---|---|---|
60 W to 90 W | Proposed control strategy | 0.5 | 2 | ≈0 |
PBC [22] | 3.9 | - | 3.5 | |
IDA-PBC [28] | 0.8 | 16 | ≈0 | |
90 W to 60 W | Proposed control strategy | 0.5 | 2 | ≈0 |
PBC [22] | 3.5 | - | 3.5 | |
IDA-PBC [28] | 0.8 | 16 | ≈0 |
Input Voltage Disturbance | Control Strategy | Fluctuation Peak Value of uC(V) | Transient Time of uC (ms) | Steady State Error (V) |
---|---|---|---|---|
30 V to 40 V | Proposed control strategy | ≈0 | ≈0 | ≈0 |
PBC [22] | 23 | - | 23 | |
IDA-PBC [28] | 5 | 500 | ≈0 |
CPL Disturbance | Control Strategy | Fluctuation Peak Value of uC(V) | Transient Time of uC (ms) | Steady State Error (V) |
---|---|---|---|---|
60 W to 90 W | Proposed control strategy | <1 | ≈0 | ≈0 |
PBC [22] | 8 | - | 8 | |
IDA-PBC [28] | 7 | 380 | ≈0 | |
90 W to 60 W | Proposed control strategy | <1 | ≈0 | ≈0 |
PBC [22] | 8 | - | 8 | |
IDA-PBC [28] | 6 | 360 | ≈0 |
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Wang, M.; Tang, F.; Wu, X.; Niu, J.; Zhang, Y.; Wang, J. A Nonlinear Control Strategy for DC-DC Converter with Unknown Constant Power Load Using Damping and Interconnection Injecting. Energies 2021, 14, 3031. https://doi.org/10.3390/en14113031
Wang M, Tang F, Wu X, Niu J, Zhang Y, Wang J. A Nonlinear Control Strategy for DC-DC Converter with Unknown Constant Power Load Using Damping and Interconnection Injecting. Energies. 2021; 14(11):3031. https://doi.org/10.3390/en14113031
Chicago/Turabian StyleWang, Mian, Fen Tang, Xuezhi Wu, Jingkai Niu, Yajing Zhang, and Jiuhe Wang. 2021. "A Nonlinear Control Strategy for DC-DC Converter with Unknown Constant Power Load Using Damping and Interconnection Injecting" Energies 14, no. 11: 3031. https://doi.org/10.3390/en14113031