Analysis and Control of Optimal Power Distribution for Multi-Objective Wireless Charging Systems
Abstract
:1. Introduction
2. Mathematic Model
3. Load Adjustment and Power Distribution
3.1. Analysis of Power Distribution
3.2. Principle of Load Adjustment
3.3. Methodology of Load Adjustment
Algorithm 1 |
Initialize(Rexmax, Rexmin, iexmax) |
while(ture) do // find the optimal value by dichotomy. |
input(Iex) // use the excitation current to detect total equivalent impedance variation. |
if(Iex > Iexmax) break // if there is no charging load or the charging load is to heavy, close the system. |
end if |
if Iex > 1.5 × Iex0 // total equivalent impedance decreases sharply. |
Rse←Uex/Iex − rex |
R’se←(Rexmax + Rexmin)/2 // set the total equivalent impedance to the medium value. |
Rexmin←Rse // set the current value as the minimum value. |
Cp← |
input(Iex) |
Iex0←Iex // record the excitation current to detect if total equivalent impedance changes. |
else if Iex < 0.066 × Iex0 // total equivalent impedance increases sharply. |
Rse←Uex/Iex − rex |
R’se←(Rexmax + Rexmin)/2 // set the total equivalent impedance to the medium value. |
Rexmax←Rse |
Cp← |
input(Iex) |
Iex0←Iex // record the excitation current to detect if total equivalent impedance changes. |
end if |
if t%50 = 0 |
Initialize(Rexmax, Rexmin) //every 50 steps reinitialize Rexmax and Rexmin. |
end if |
t←t + 0.001 //each step cost 1 ms. |
end |
Algorithm 2 |
Initialize(α, Prefi) |
while(true) do |
input(Prei) Urei← // calculate input voltage of the DC-DC converter. |
if Prei ≠ Prefi |
α← // if the power demand is not satisfied, adjust the duty ratio. |
end if |
t←t + 0.003 // each step cost 3 ms. |
end |
4. Verification
4.1. Simulated Results
4.2. Experimental Results
5. Conclusions
Author Contributions
Acknowledgments
Conflicts of Interest
References
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Parameter | Symbol | Value |
---|---|---|
Real impedance of Load 1 | R1 | 100 Ω |
Real impedance of Load 2 | R2 | 100 Ω |
Real impedance of Load 3 | R3 | 100 Ω |
Demand power range of Load 1 | Pr1 | 18–40 W |
Demand power range of Load 2 | Pr2 | 35–45 W |
Demand power range of Load 3 | Pr3 | 27–40 W |
Power demand range of EV 1 | PEr1 | 4500–5500 W |
Power demand range of EV 2 | PEr2 | 2700–3300 W |
Power demand range of EV 3 | PEr3 | 1800–2200 W |
Power error tolerance | eP | 10% |
Excitation coil inductance | Lex | 1 mH |
Receptor inductance | Lre | 400 μH |
Power supply voltage | uex | 200 V |
Working frequency | f | 20 kHz |
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Zhang, Z.; Tong, R.; Liang, Z.; Liu, C.; Wang, J. Analysis and Control of Optimal Power Distribution for Multi-Objective Wireless Charging Systems. Energies 2018, 11, 1726. https://doi.org/10.3390/en11071726
Zhang Z, Tong R, Liang Z, Liu C, Wang J. Analysis and Control of Optimal Power Distribution for Multi-Objective Wireless Charging Systems. Energies. 2018; 11(7):1726. https://doi.org/10.3390/en11071726
Chicago/Turabian StyleZhang, Zhen, Ruilin Tong, Zhenyan Liang, Chunhua Liu, and Jiang Wang. 2018. "Analysis and Control of Optimal Power Distribution for Multi-Objective Wireless Charging Systems" Energies 11, no. 7: 1726. https://doi.org/10.3390/en11071726