Fast Calculation and Analysis of the Equivalent Impedance of a Wireless Power Transfer System Using an Array of Magnetically Coupled Resonators

Alberto, Jose; Reggiani, Ugo; Sandrolini, Leonardo; Albuquerque, Helena

doi:10.2528/pierb18011704

Cited by 17 publications

(18 citation statements)

References 19 publications

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“…The theoretical analysis presented in the previous section was verified experimentally using the resonator array built in laboratory used in [14,21]. The circuital parameters of each resonator (self-inductance, intrinsic AC resistance and added capacitance) and its resonant frequency were measured using an Agilent 4396B 100 kHz-1.8 GHz Vector Network Analyser (VNA) and were reported in [14,21].…”

Section: Methodsmentioning

confidence: 96%

“…As in [14,21], the power supply used in the experimental setup consisted of a full-bridge inverter (a Fairchild Semiconductor FSB44104A) supplied by a AIM-TTI Instruments QPX1200SP 1200W DC Power Supply controlled by an Arduino Due microprocessor. The input current was measured with a 500 MHz Agilent Infiniium 54825A digital oscilloscope and a Tektronix TCP305 DC to 50 MHz current probe.…”

Section: Methodsmentioning

confidence: 99%

“…2(b)), which is the impedance of the receiver seen from the lth cell [9,15], and all the resonators after the lth one (N − l resonators) can be represented with an equivalent impedanceẐ eq,N −l (see Fig. 2(c)), as in [14]. Thus, Z T =Ẑ d +Ẑ eq,N −l and the the matrix in Eq.…”

Section: Description Of the Circuit: Cases Of Studymentioning

confidence: 99%

“…In order to overcome the loss of efficiency in cases where the emitter and receiver coils are distant, arrays of resonators can be used to transfer power over longer distances [6][7][8][9][10]. In these arrays the first resonator is usually connected to a power source and transmits power through magnetic coupling to the other resonators of the array, which are arranged in a plane with parallel axes [9,[11][12][13][14][15], or alternatively, in domino configurations [7,8,10].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Accurate Calculation of the Power Transfer and Efficiency in Resonator Arrays for Inductive Power Transfer

Alberto¹,

Reggiani²,

Sandrolini³

et al. 2019

PIER B

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This paper studies the power transfer characteristics of a resonator array for inductive power transfer by means of the accurate analytical solution of its circuit model. Through the mathematical inversion of a tridiagonal matrix, it is possible to obtain closed-form expressions for the current in each resonator and consequently expressions for the power transfer and efficiency of the system. The method can be applied to a resonator array powering a load at the end of the array or a receiver facing the array at any position. With the expressions obtained, it is possible not only to achieve a better understanding of the power transfer characteristics in resonator arrays but also to obtain the conditions for maximum power transfer or maximum efficiency, for several conditions and parameters of the system. A prototype of a stranded-wire resonator array powered by a resonant inverter, capable of delivering power to a load from 65 W to 90 W with efficiency values between 63% and 88%, was built in order not only to validate the expressions obtained but also to show their practical applicability and demonstrate that these arrays can be used for higher power transfer applications.

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Section: Methodsmentioning

confidence: 96%

Section: Methodsmentioning

confidence: 99%

Section: Description Of the Circuit: Cases Of Studymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Accurate Calculation of the Power Transfer and Efficiency in Resonator Arrays for Inductive Power Transfer

Alberto¹,

Reggiani²,

Sandrolini³

et al. 2019

PIER B

Self Cite

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“…Based on these principles, Hui et al [11] demonstrate a relay arrangement for WPT with a larger number of magnetically coupled resonant circuits, where 2 ≤ N r ≤ 8. Additional analytic derivations for multi-coil relay WPT systems can be found in [12,13]. Frequency splitting [11,14] has been identified as a design problem for WPT systems with multiple resonant circuits that share the same resonant frequency.…”

Section: Introductionmentioning

confidence: 99%

Multi-Objective Optimization of Wireless Power Transfer Systems With Magnetically Coupled Resonators and Nonlinear Loads

Winges¹,

Rylander²,

Petersson³

et al. 2019

PIER B

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We present an optimization procedure for wireless power transfer (WPT) applications and test it numerically for a WPT system design with four resonant circuits that are magnetically coupled by coaxial coils in air, where the magnetic field problem is represented by a fully populated inductance matrix that includes all magnetic interactions that occur between the coils. The magnetically coupled resonators are fed by a square-wave voltage generator and loaded by a rectifier followed by a smoothing filter and a battery. We compute Pareto fronts associated with a multi-objective optimization problem that contrasts: 1) the system efficiency; and 2) the power delivered to the battery. The optimization problem is constrained in terms of: 1) the physical construction of the system and its components; 2) the root-mean-square values of the currents and voltages in the circuit; and 3) bounds on the overtones of the currents in the coils in order assure that the WPT system mainly generates magnetic fields at the operating frequency. We present optimized results for transfer distances from 0.8 to 1.6 times the largest coil radius with a maximum power transfer from 4 kW to 9 kW at 85 kHz, which is achieved at an efficiency larger than 90%.

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Two‐port network compact representation of resonator arrays for wireless power transfer with variable receiver position

Sandrolini

Simonazzi

Barmada

et al. 2022

Circuit Theory & Apps

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This paper presents an equivalent circuit characterization of an array of resonators for wireless power transfer (WPT) applications. These apparatuses are composed of magnetically coupled resonant coils acting as a transmitter which feeds a receiver coil that can be placed over them at any position, allowing the tolerance of the system to the receiver misalignment to be dramatically enhanced. This advantage makes resonator arrays a suitable solution for both low-and high-power applications. The latter usually involve battery charging, with the resonator array acting as a transformer stage, ensuring galvanic isolation. An equivalent two-port network can be defined for any receiver position, allowing the array to be treated as a traditional transformer. Thereby, the simulation of the system can be simplified, as it is required in the design steps of a converter and control strategy. Analytical expressions of the two-port network parameters are proposed for arrays of any size and length. The formulas have been numerically and experimentally validated.battery charging, circuit modeling, inductive power transfer, resonator array, transformer, wireless power transfer | INTRODUCTIONIn the last decade, wireless power transfer (WPT) systems have become a convenient and reliable solution in many applications, ranging from powering portable electronic devices to automatic machines and electric vehicle (EV) charging. [1][2][3] These apparatuses offer many advantages, as the ability of operating in difficult environments or the possibility to transfer power to moving loads. The size and weight of high-power batteries can be reduced by more frequent charging, which can be dramatically eased by wireless chargers. Several different technologies have been proposed in literature for both stationary and dynamic charging. [4][5][6] For high-power transfer, among near-field WPT technologies, inductive power transfer (IPT) is largely employed. One of its major limits is the misalignment between the transmitter and receiver apparatuses, which dramatically affects the efficiency and the transferred power. In order to improve the tolerance to the misalignment, arrays of magnetically coupled resonating L-C circuits (also referred as relay coils) can be used, which represent a very cheap solution since only few passive electronic components are required. [7][8][9][10][11] In these systems, the power travels from the source to the load through the relay coils at the expense of an increased sensitivity to the mismatch between the input and output side impedances, 12,13 which reflects also on the magnetic near-field distribution. 14 Solutions to this problem have been proposed in Sandoval et al, 15,16 making arrays of

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Fast Calculation and Analysis of the Equivalent Impedance of a Wireless Power Transfer System Using an Array of Magnetically Coupled Resonators

Cited by 17 publications

References 19 publications

Accurate Calculation of the Power Transfer and Efficiency in Resonator Arrays for Inductive Power Transfer

Accurate Calculation of the Power Transfer and Efficiency in Resonator Arrays for Inductive Power Transfer

Multi-Objective Optimization of Wireless Power Transfer Systems With Magnetically Coupled Resonators and Nonlinear Loads

Two‐port network compact representation of resonator arrays for wireless power transfer with variable receiver position

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