Enhancing the Robustness of the Wireless Power Transfer System to Uncertain Parameter Variations Using an Interval-Based Uncertain Optimization Method
Abstract
:1. Introduction
2. Modeling and Analysis of the WPT System with Uncertainty
2.1. Uncertain Parameters in the WPT System
2.2. Modeling of the WPT System
2.2.1. Transmitter Coil and Receiver Coil
2.2.2. Tuning and Impedance Matching Circuits
2.2.3. Overall WPT System
2.3. Analysis of the Uncertain Parameters
3. Interval-Based Uncertain Optimization Method for the WPT System
3.1. A Modified WPT System Structure
3.2. Interval-Based Uncertain Optimization Model
3.3. Bi-Level Nested Optimization Algorithm
3.4. Optimization Results
3.4.1. Pareto Fronts
3.4.2. Tradeoff Solutions
4. Experimental Verifications
4.1. Hardware Implementations
4.1.1. Modified WPT System
4.1.2. SS Compensated WPT System
4.2. Experimental Results
5. Conclusions
- A modified WPT system structure is proposed in this paper. Two Q-type impedance matching networks are inserted in the transmitter circuit and the receiver circuit, respectively. By doing so, the modified WPT system can operate at two different modes. To address uncertain parameter variations, the modified WPT system can switch from one operating mode to the other mode, which is efficient and easy to implement.
- An interval-based uncertain optimization method is proposed to enhance the robustness of the modified WPT system. A double-objective uncertain optimization model for the modified WPT system is built, and a bi-level nested optimization algorithm is proposed to find robust solutions. Through this method, the modified WPT system can achieve good robustness performance when the coupling coefficient, the operating frequency, the load resistance or the load reactance varies over a wide range.
- Compared with active control methods, the proposed method in this paper only uses passive compensation networks (Q-type impedance matching networks). Therefore, the structure and control difficulty of the WPT system can be reduced. The size of the Q-type networks can be made small, which contributes to the miniaturization of the overall system. The proposed method is more suitable for some applications where high robustness performance, medium system efficiency, and a small system size are required.
Author Contributions
Funding
Conflicts of Interest
References
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Type | Topology | Transmission Parameters |
---|---|---|
Series | ||
Parallel | ||
Combination |
Certain Parameter | Value |
---|---|
Source resistance | 50 Ω |
Coil resistances | 1 Ω |
Coil inductances | 30 μH |
Series Capacitors | 211 pF |
Uncertain Parameter | Variation Range |
Coupling coefficient | |
Operating frequency | |
Load resistance | |
Load reactance |
Switch States | Transmission Parameters of the Q-type Network at Transmitter-Side | Transmission Parameters of the Q-type Network at Receiver-Side |
---|---|---|
Mode 1: | ||
Mode 2: |
Certain Parameter | Value |
---|---|
Source resistance | |
Coil resistances | |
Coil inductances | |
Uncertain Parameter | Variation Interval |
Coupling coefficient | |
Operating frequency | |
Load resistance | |
Load reactance |
Item | Uncertain Variables | ||||
---|---|---|---|---|---|
Varies in [0.15, 0.55] | Varies in [1.5, 2.5] MHz | Varies in [50, 1050] Ω | Varies in [−300, 300] Ω | ||
Tradeoff solutions | 0.25 | 1.8 | 250 | 0 | |
23.4 | 5.9 | 5.6 | 7.3 | ||
500.0 | 87.5 | 177.4 | 481.5 | ||
16.5 | 5.0 | 17.5 | 31.8 | ||
473.3 | 245.4 | 98.0 | 435.1 | ||
50.1 | 173.6 | 52.8 | 508.1 | ||
576.7 | 770.2 | 740.0 | 130.1 | ||
936.2 | 367.7 | 422.2 | 219.6 | ||
1079.8 | 442.6 | 471.1 | 666.4 | ||
491.7 | 988.7 | 850.0 | 625.5 | ||
230.4 | 60.4 | 285.6 | 70.3 | ||
Objective functions | 0.735 | 0.463 | 0.727 | 0.412 | |
0.002 | 0.002 | 0.002 | 0.002 |
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Luo, Y.; Yang, Y.; Wen, X.; Cheng, M. Enhancing the Robustness of the Wireless Power Transfer System to Uncertain Parameter Variations Using an Interval-Based Uncertain Optimization Method. Energies 2018, 11, 2032. https://doi.org/10.3390/en11082032
Luo Y, Yang Y, Wen X, Cheng M. Enhancing the Robustness of the Wireless Power Transfer System to Uncertain Parameter Variations Using an Interval-Based Uncertain Optimization Method. Energies. 2018; 11(8):2032. https://doi.org/10.3390/en11082032
Chicago/Turabian StyleLuo, Yanting, Yongmin Yang, Xisen Wen, and Ming Cheng. 2018. "Enhancing the Robustness of the Wireless Power Transfer System to Uncertain Parameter Variations Using an Interval-Based Uncertain Optimization Method" Energies 11, no. 8: 2032. https://doi.org/10.3390/en11082032