Linearization and Control of Series-Series Compensated Inductive Power Transfer System Based on Extended Describing Function Concept
<p>Series-series compensated inductive power transfer system.</p> "> Figure 2
<p>Equivalent circuit of series-series topology.</p> "> Figure 3
<p>Switching scheme and voltage waveform of the ACM control.</p> "> Figure 4
<p>Open loop Bode plot of <math display="inline"> <semantics> <mrow> <mfrac> <mrow> <msub> <mover accent="true"> <mi>V</mi> <mo>˜</mo> </mover> <mn>0</mn> </msub> </mrow> <mover accent="true"> <mi>d</mi> <mo>˜</mo> </mover> </mfrac> </mrow> </semantics> </math> for <span class="html-italic">d</span> = 0.8.</p> "> Figure 5
<p>Voltage control loop.</p> "> Figure 6
<p>Bode plot of designed PI controller, G<sub>c</sub>(s).</p> "> Figure 7
<p>Bode plots for loop transfer function.</p> "> Figure 8
<p>Experimental setup.</p> "> Figure 9
<p>Simulation results for step change in load.</p> "> Figure 10
<p>Experimental results for step change in load.</p> "> Figure 11
<p>Simulation results for step change in reference voltage.</p> "> Figure 12
<p>Experimental results for step change in reference voltage.</p> "> Figure 13
<p>Experimental results for variation in DC input voltage.</p> "> Figure 14
<p>Experimental results for change in mutual coupling.</p> "> Figure 15
<p>(<b>a</b>) Waveform for 168 V reference voltage, 7.84 Ω load; (<b>b</b>) Waveform for 92 V reference voltage, 7.84 Ω load.</p> ">
Abstract
:1. Introduction
2. Equivalent Circuit Derivation for an SS Compensated IPT System
3. Small-Signal Modeling
4. Verification of Small-Signal Model and Design of Control Loops
4.1. Bode Plot of Open-Loop System
4.2. Derivation of Closed-Loop Voltage Controller
5. Simulation and Experimental Results
6. Verification of ZVS in INVERTER Switches
7. Conclusions
Author Contributions
Conflicts of Interest
Nomenclature
Vdc | DC input to inverter |
VAB | VP = Output of inverter/Primary Voltage |
VCD | Input voltage to rectifier |
LP | Primary Self inductance |
CP | Primary capacitor |
LS | Secondary Self inductance |
CS | Secondary capacitor |
M | Mutual Inductance |
Cf | Filter capacitor |
Ro | Load resistance |
IP | Primary Peak current |
IS | Secondary Peak current |
iP | Primary current |
Vm | Peak Voltage across capacitor |
|iS| | Rectified current flowing into output filter network |
Io | output current |
Vcf | Vo = Output voltage |
fs | switching frequency, Hz |
fo | resonant frequency in Hz |
ωs | switching frequency in rad/s |
ωo | Resonant frequency in rad/s |
Conduction angle |
Appendix A
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Parameters | Values |
---|---|
Vdc (V) | 340 |
Lp (µH) | 400.65 |
LS (µH) | 101.10 |
M (µH) | 40.23 |
Rp (Ω) | 0.13 |
Rs (Ω) | 0.06 |
Cp (nF) | 41.5 |
CS (nF) | 146 |
fo (kHz) | 39.031 |
fs (kHz) | 41.426 |
Cf (uF) | 220 |
Rated load, Ro (Ω) | 7.84 |
Air-gap (cm) | 16 |
Rated output (kW) | 3.6 |
Cases | Pin = VDC × IDC (Watts) | Pout = Vo × Io (Watts) | η (%) | |
---|---|---|---|---|
I. Vref = 168 V | RO = 8.84 Ω | 340 × 10.32 | 168 × 19 | 90.97 |
RO = 11.56 Ω | 340 × 8 | 168 × 14.53 | 89.76 | |
II. RO = 7.84 Ω | Vref = 168 V | 340 × 11.6 | 168 × 21.42 | 91.2 |
Vref = 92 V | 340 × 3.54 | 92 × 11.73 | 89.66 | |
III. RO = 10 Ω Vref = 160 V | VDC = 306 V | 306 × 9.24 | 160 × 16 | 90.54 |
VDC = 374 V | 374 × 7.54 | 160 × 16 | 90.78 | |
VDC = 374 V | 340 × 8.3 | 160 × 16 | 90.71 | |
IV. Vref = 168 V RO = 7.84 Ω | Misalignment = 5 cm | 340 × 11.72 | 168 × 21.42 | 90.30 |
Misalignment = 10 cm | 340 × 11.92 | 168 × 21.42 | 88.79 | |
Misalignment = 15 cm | 340 × 12.52 | 168 × 21.42 | 84.53 |
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Aditya, K.; Williamson, S. Linearization and Control of Series-Series Compensated Inductive Power Transfer System Based on Extended Describing Function Concept. Energies 2016, 9, 962. https://doi.org/10.3390/en9110962
Aditya K, Williamson S. Linearization and Control of Series-Series Compensated Inductive Power Transfer System Based on Extended Describing Function Concept. Energies. 2016; 9(11):962. https://doi.org/10.3390/en9110962
Chicago/Turabian StyleAditya, Kunwar, and Sheldon Williamson. 2016. "Linearization and Control of Series-Series Compensated Inductive Power Transfer System Based on Extended Describing Function Concept" Energies 9, no. 11: 962. https://doi.org/10.3390/en9110962
APA StyleAditya, K., & Williamson, S. (2016). Linearization and Control of Series-Series Compensated Inductive Power Transfer System Based on Extended Describing Function Concept. Energies, 9(11), 962. https://doi.org/10.3390/en9110962