State Space Average Modeling, Small Signal Analysis, and Control Implementation of an Efficient Single-Switch High-Gain Multicell Boost DC-DC Converter with Low Voltage Stress
Abstract
:1. Introduction
- Low voltage stress on the main switch and diodes.
- Simplicity of control due to single-switch topology.
- The structure of the converter can be extended to n cells for high voltage gain.
- Compact size and minimum number of components guarantee a cost-effective converter.
- Good robustness of the closed-loop control under different working conditions.
2. Proposed Converter Topology
3. State Space Average Modeling
- The semiconductor switch is on (i.e., closed) for a time dTs and is off (i.e., open) for a time (1 − d)Ts during a switching period time Ts.
- The duty ratio (d) is expressed as the ratio of the time the switch is on (on time) over the switching period time Ts. The switching frequency (Fs) is given as Fs = 1/Ts.
- The converter works in the CCM, considering the design considerations of inductors and capacitors as follows:
- The semiconductor switch and all diodes are modeled as ideal semiconductor devices.
- The parasitic series resistances of the passive elements (i.e., inductors and capacitors) are taken into consideration.
3.1. On State (0 < t < dTs)
3.2. Off State (dTs < t < Ts)
3.3. Average Model
4. Small Signal Analysis
5. Stability Analysis
6. Experimental System Setup
7. Open-Loop Performance
8. Closed-Loop Performance
8.1. PI Controller
8.2. Closed-Loop Results
9. Comparison with Recent Converters
10. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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Parameter | Value |
---|---|
Vin | 24 V |
Vo | 132 V |
rLi | 0.64 Ω |
Li | 1.7 mH |
rCi | 0.12 Ω |
Ci | 47 µF |
rCo | 0.12 Ω |
Co | 47 µF |
Fs | 5 kHz |
R | 130 Ω |
Diodes | MUR1560 |
Main switch (SW) | FGH40N60UFD |
Item | Ref. [25] | Ref. [26] | Ref. [27] | Ref. [28] | Ref. [29] | Ref. [30] | The Proposed n = 2 |
---|---|---|---|---|---|---|---|
Switch, SW | 2 | 2 | 1 | 2 | 3 | 1 | 1 |
Inductor, L | 4 | 3 | 4 | 2 | 6 | 3 | 2 |
Capacitor, C | 1 | 3 | 6 | 2 | 1 | 7 | 3 |
Diode, D | 9 | 2 | 3 | 2 | 11 | 5 | 4 |
Total Component Count | 16 | 10 | 14 | 8 | 21 | 16 | 10 |
Gain, G | |||||||
) | |||||||
) | |||||||
Fs (KHz) | 50 | 60 | 33 | 100 | 20 | 100 | 5 |
Open/Closed Loop | Open-loop | Open-loop | Open-loop | Open-loop | Open/Closed-loop | Open/Closed-loop | Open/Closed-loop |
Control Method | n/a | n/a | n/a | n/a | PI Controller | Type III voltage controller | PI Controller |
Exp. Efficiency (%) Pout = 100 W | n/a | n/a | 93 | 92 | 95.6 | 92.1 | 96 |
Type of Load | Grounded | Grounded | Grounded | Grounded | Floating | Floating | Grounded |
G at D = 0.4 | 3.67 | 1.11 | 2 | 3.33 | 5 | 4.67 | 4.67 |
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Deraz, S.A.; Zaky, M.S.; Tawfiq, K.B.; Mansour, A.S. State Space Average Modeling, Small Signal Analysis, and Control Implementation of an Efficient Single-Switch High-Gain Multicell Boost DC-DC Converter with Low Voltage Stress. Electronics 2024, 13, 3264. https://doi.org/10.3390/electronics13163264
Deraz SA, Zaky MS, Tawfiq KB, Mansour AS. State Space Average Modeling, Small Signal Analysis, and Control Implementation of an Efficient Single-Switch High-Gain Multicell Boost DC-DC Converter with Low Voltage Stress. Electronics. 2024; 13(16):3264. https://doi.org/10.3390/electronics13163264
Chicago/Turabian StyleDeraz, Said A., Mohamed S. Zaky, Kotb B. Tawfiq, and Arafa S. Mansour. 2024. "State Space Average Modeling, Small Signal Analysis, and Control Implementation of an Efficient Single-Switch High-Gain Multicell Boost DC-DC Converter with Low Voltage Stress" Electronics 13, no. 16: 3264. https://doi.org/10.3390/electronics13163264