EP3534673B1 - Induktionskochfeld und verfahren zur bedienung eines induktionskochfelds - Google Patents

Induktionskochfeld und verfahren zur bedienung eines induktionskochfelds Download PDF

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EP3534673B1
EP3534673B1 EP18159692.5A EP18159692A EP3534673B1 EP 3534673 B1 EP3534673 B1 EP 3534673B1 EP 18159692 A EP18159692 A EP 18159692A EP 3534673 B1 EP3534673 B1 EP 3534673B1
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Prior art keywords
induction coil
resonance capacitor
cos
induction
sin
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EP3534673A1 (de
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Gilberto PIN
Paolo Posa
Enrico Marson
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Electrolux Appliances AB
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Electrolux Appliances AB
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    • HELECTRICITY
    • H05ELECTRIC TECHNIQUES NOT OTHERWISE PROVIDED FOR
    • H05BELECTRIC HEATING; ELECTRIC LIGHT SOURCES NOT OTHERWISE PROVIDED FOR; CIRCUIT ARRANGEMENTS FOR ELECTRIC LIGHT SOURCES, IN GENERAL
    • H05B6/00Heating by electric, magnetic or electromagnetic fields
    • H05B6/02Induction heating
    • H05B6/06Control, e.g. of temperature, of power
    • H05B6/062Control, e.g. of temperature, of power for cooking plates or the like

Definitions

  • the present invention relates generally to the field of induction hobs. More specifically, the present invention is related to an induction hob comprising a power circuit in which the functionality of a current transducer is replaced by arithmetic functionality provided by a control entity.
  • Induction hobs for preparing food are well known in prior art.
  • Induction hobs typically comprise at least one induction coil placed below a hob plate in order to heat a piece of cookware.
  • values regarding the peak current flowing through the induction coil and power factor indicating the load of the induction coil are required.
  • Common induction hobs comprise a current transducer based on which peak current flowing through the induction coil and a power factor can be determined.
  • a current transducer is disadvantageous because the total costs and footprint of the power circuit board are increased.
  • the document EP 3030041 A1 discloses a cooking hob and method, wherein the control entity is configured to provide and/ or receive resonance capacitor information , applying a discrete mathematical transformation to the resonance capacitor information thereby obtaining modified resonance capacitor information, said control entity being further configured to calculate first and second electrical information related to the induction coil, based on said modified resonance capacitor information.
  • the document EP 2334142 A1 discloses an inductive heating device.
  • the document EP 1528839 A1 discloses an induction heating cooker and method for operating the same.
  • the invention relates to an induction hob comprising a circuitry for powering at least one induction coil.
  • the circuitry comprises a power circuit portion with at least one switching element adapted to provide pulsed electric power to said induction coil and an oscillating circuit portion comprising at least one resonance capacitor which is associated with a resonance capacitor voltage, said induction coil being electrically coupled with said power circuit portion and said oscillating circuit portion.
  • Said induction hob comprises a control entity, said control entity being configured to provide and/or receive sampled resonance capacitor voltage values, applying a discrete mathematical transformation to the sampled resonance capacitor voltage values thereby obtaining modified resonance capacitor voltage information.
  • Said control entity is further configured to calculate information regarding the amplitude of the electric current provided through said induction coil and information regarding the phase delay between the electric current provided through said induction coil and the voltage applied to the induction coil based on said modified resonance capacitor voltage information.
  • Said induction hob is advantageous because the functionality of the current transducer can be replaced by a mathematical approach, said mathematical approach taking available information of the power circuit of the induction hob.
  • Said control entity is configured to calculate peak current value and phase delay based on said available information. Thereby, the total costs and footprint of the power circuit can be reduced, specifically when using existing resources (e.g. microprocessor etc.) for calculating said values.
  • said resonance capacitor voltage is indicative for a voltage provided at a circuit node located between a pair of capacitors included in said oscillating circuit portion.
  • Said circuit node may be used for electrically coupling the induction coil with the oscillating circuit portion.
  • One capacitor of said pair of capacitors extends between said circuit node and supply voltage wherein the other capacitor of said pair of capacitors extends between said circuit node and ground.
  • said resonance capacitor voltage is obtained using a sensing circuit portion comprising a voltage divider.
  • Said voltage divider may be formed by two or more resistors which allow the measurement of resonance capacitor voltage.
  • said information regarding the amplitude of the electric current provided through said induction coil and/or said information regarding the phase delay between the electric current provided through said induction coil and the voltage applied to the induction coil is calculated without considering information indicative for a voltage provided at a circuit node located between a pair of switching elements. In other words, only voltage information of a node included in the oscillating circuit portion but no voltage information of a node included in the power circuit portion is required. Thereby estimation inaccuracies can be reduced.
  • said discrete mathematical transformation is a discrete cosine transformation. Based on the discrete cosine transformation, a sinusoidal wave is developed based on which the maximum and minimum values of resonance capacitor voltage are calculated. So, in other words, the maximum and minimum values are not directly established from the sampled resonance capacitor voltage but based on the sampled values of the resonance capacitor voltage, a sinusoidal wave is determined that fits to the acquired samples of resonance capacitor voltage. Thereby, the influence of noise can be significantly reduced.
  • said discrete mathematical transformation is based on sine and cosine reference convolution signals, said sine and cosine reference convolution signals being calculated based on information regarding the frequency of the electric current provided through said induction coil and the sampling frequency based on which the sampled resonance capacitor voltage is obtained.
  • Said sine and cosine reference convolution signals form reference signals for establishing the sinusoidal wave based on the sampled values of the resonance capacitor voltage.
  • the avgEst value can be corrected considering the BIAS due to the leakage current that supply the resonance capacitor also in absence of power generation. This increases the precision of acquired data and at the end the estimated values.
  • the induction hob comprises no current transducer electrically coupled with the induction coil, wherein information regarding the amplitude of the electric current provided through said induction coil and information regarding the phase delay between the electric current provided through said induction coil and the voltage applied to the induction coil are provided by an algorithm calculating maximum and minimum peak values of resonance capacitor voltage by reconstructing a sinusoidal wave based on sampled values of said resonance capacitor voltage.
  • the invention relates to a method for operating an induction hob.
  • the induction hob comprises a circuitry for powering at least one induction coil.
  • the circuitry comprises a power circuit portion with at least one switching element adapted to provide pulsed electric power to said induction coil and an oscillating circuit portion comprising at least one resonance capacitor which is associated with a resonance capacitor voltage, said induction coil being electrically coupled with said power circuit portion and said oscillating circuit portion.
  • Said induction hob comprises a control entity performing the steps of:
  • Fig. 1 shows a schematic diagram of a power circuit 1 of a state-of-the-art induction hob.
  • the power circuit 1 comprises an input stage 2.
  • Said input stage 2 may be coupled with AC mains, e.g. 230V AC mains.
  • Said input stage 2 may be adapted to rectify and/or filter the AC mains voltage.
  • the input stage 2 may comprise a rectification bridge.
  • the power circuit 1 may comprise a coil driver entity 3.
  • the coil driver entity 3 may be adapted to control one or more switching elements 4, 5.
  • Said switching elements 4, 5 may be electrically coupled with said input stage 2 in order to receive rectified AC voltage.
  • said coil driver entity 3 may be electrically coupled with control inputs of said switching elements 4, 5 in order to be able to provide pulsed electrical power to an induction coil 6.
  • Said switching elements 4, 5 may be, for example, IGBTs.
  • the IGBTs may be integrated in a power circuit portion 7, said power circuit portion 7 being configured as a half-bridge converter.
  • a current transducer 8 is provided between said power circuit portion 7 and said induction coil 6, a current transducer 8 is provided. Said current transducer 8 may be adapted to provide information regarding the peak value of the electric current provided through the induction coil 6 (in the following also referred to as coil current) and the power factor. More in detail, the coil current Ic may flow through the current transducer 8. Thereby, the current transducer 8 is able to measure/determine the peak value of the coil current Ic and the power factor. The current transducer 8 may be electrically coupled with a circuit node 7a of the power circuit portion 7 which is arranged between the pair of switching elements 4, 5.
  • the induction coil 6 is coupled with an oscillating circuit portion.
  • Said oscillating circuit portion 9 may comprise a pair of capacitors 9.1, 9.2, said capacitors 9.1, 9.2 forming together with the inductivity of the induction coil 6 an electrical resonant or quasi-resonant circuit which enables an oscillating excitation of the induction coil 6.
  • the induction coil 6 may be coupled with a circuit node 9a being arranged between said pair of capacitors 9.1, 9.2.
  • Said capacitors 9.1, 9.2 are in the following referred to as resonance capacitors.
  • Said current transducer 8 may be electrically coupled with a control entity 10 for providing information regarding the peak value of the coil current and the power factor to said control entity 10. Based on said information, the control entity 10 controls the switching elements 4, 5 of the power circuit portion 7.
  • Fig. 2 shows a schematic diagram of a power circuit 1a of an induction hob according to the present invention.
  • the basic structure of the power circuit 1a is similar to the structure of the power circuit 1. Therefore, in the following only differences of the power circuit 1a with respect to power circuit 1 are explained. Apart from that, the features described before do also apply to the embodiment of Fig. 2 .
  • the first main difference to the power circuit 1 is that the power circuit 1a does not comprise a current transducer 8. More in detail, the induction coil 6 is directly coupled with the circuit node 7.1 provided between the pair of switching elements 4, 5. A further difference is the voltage divider 11 which is electrically coupled with the circuit node 9a of the oscillating circuit portion 9.
  • the control entity 10 is configured to gather information regarding the peak value of the coil current and the power factor/phase delay based on a mathematical algorithm. More in detail, the control entity 10 may receive certain information available at the power circuit 1a, e.g. information correlated/associated with the voltage of the circuit node 9a.
  • the wording "information correlated/associated with a voltage” may refer to the case that a voltage is tapped at a certain node (e.g. node 9a) thereby said information being the voltage value at said node.
  • the wording "information correlated/associated with a voltage” may alternatively be indicative for said voltage at said node, but may be derived by an arithmetic operation based on other parameters or, for example, derived by the voltage divider 11.
  • the inventor(s) found out that an estimation of coil current Ic, phase delay between the electric current and the voltage applied to the induction coil and the electric power applied to the induction coil can be obtained from an analysis of resonance capacitor voltage, i.e. without considering an equivalent local coil/pot model including an estimation of an equivalent load series resistance and an equivalent load series inductance.
  • the algorithmic implementation (and not based on a current transducer) of providing information regarding the peak value of the coil current and the estimated power value can be obtained based on several information available at the power circuit 1a or derivable from information available at the power circuit 1a.
  • the resonance capacitor voltage Vc is gathered.
  • said information is obtained by the voltage divider 11.
  • the resonance capacitor voltage Vc is quite close to a sinusoid.
  • the maximum and minimum values of resonance capacitor voltage Vc are, preferably, not obtained directly by a peak determination entity or peak determination function but resonance capacitor voltage Vc is sampled and a best fitting method is applied on said samples in order to obtain a "best fitted" sinusoidal wave that fits the acquired samples of resonance capacitor voltage Vc.
  • Fig. 3 shows an example of sampled values of Vc related to a switching frequency of switching elements 4, 5 of 40kHz.
  • a discrete mathematical transformation is applied to the sampled values of Vc.
  • said discrete mathematical transformation is a discrete cosine transformation (DCT).
  • DCT discrete cosine transformation
  • other discrete mathematical transformations can be used.
  • DCT is derived from the Fourier Transformation
  • other methodologies are for instance the Wavelet filtering, the Fourier Transform (Regular, Fast or other typologies) and related mathematical variations.
  • the resonance capacitor voltage Vc is sampled, for example, with a frequency of 1MHz or more. Also lower frequencies may be possible, for instance in the range of 100kHz to 1MHz, specifically 500kHz or 250kHz. Said sampling may be obtained periodically, for example with a frequency of 10kHz. As a result of said sampling, a complete period of resonance capacitor voltage Vc is stored in a storage entity, e.g. RAM. Said stored samples of resonance capacitor voltage Vc are elaborated in order to obtain upper-mentioned estimated values of coil current Ic, phase delay between the electric current and the voltage applied to the induction coil and the electrical power applied to the induction coil 6.
  • Said reference convolution signals could be computed every half of main line voltage period. For example, if the main line period is 50 Hz, the half main line voltage period is 10ms.
  • the reference convolution signals can be computed every half of main line voltage period because the switching frequency usually changes every half of main line voltage period.
  • the interesting signals are updated every 100 ⁇ s, for example.
  • the average estimation (avgEst) value can be corrected considering the BIAS due to the leakage current that supply the resonance capacitor also in absence of power generation. This increases the precision of acquired data and at the end the estimated values. According to a test case, at a line voltage of 230V, this value is around 18.5V.
  • phaseDelay Vc is the delay between the generated voltage to the coil and the envelop of resonance capacitor voltage reconstructed with the fast sampling acquisition procedure.
  • Fig. 4 shows an equivalent circuit covering the power circuit portion 7, the induction coil 6 and the oscillating circuit 9 of the power circuit 1a according to Fig. 2 .
  • the induction coil 6 is replaced by a load representation modelled by R s and L s .
  • the values of R s and L s depend on the applied frequency, the temperature, the material of the piece of cookware placed on the induction coil and the position of the piece of cookware with respect to the induction coil 6.
  • said compensation is done every time, the coil current I c and phase delay are computed, i.e. according to the upper-mentioned timing regime, every 100 ⁇ s (or more).
  • cos Comp ⁇ 2 ⁇ sinEst + cosEst ⁇ sin 4 ⁇ K ⁇ sinEst ⁇ cos 4 ⁇ K ⁇ 4 ⁇ ⁇ cosEst ⁇ K cos 4 ⁇ K + 8 K 2 ⁇ 2 ⁇ 1 ;
  • sinComp is the estimated sine value
  • cosComp is the estimated cosine value
  • Said compensation coefficient is always lower than zero.
  • the electric power provided through the induction coil is estimated considering the already estimated values of coil current Ic and phase delay.
  • the estimated power value could be calculated considering, for instance, only a portion of the half of main line voltage period. For instance, the portion of period near the zero crossing of main line rectified voltage value could be skipped in the calculation of the average power value.

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  • Physics & Mathematics (AREA)
  • Electromagnetism (AREA)
  • Measurement Of Resistance Or Impedance (AREA)
  • Inverter Devices (AREA)

Claims (15)

  1. Induktionskochfeld umfassend eine Schaltungsanordnung (la) zum Bestromen mindestens einer Induktionsspule (6), wobei die Schaltungsanordnung (la) einen Leistungsschaltungsabschnitt (7) umfasst mit mindestens einem Schaltelement (4, 5) ausgelegt zum Liefern gepulster elektrischer Leistung an die Induktionsspule (6) und einem Schwingkreisabschnitt (9) umfassend mindestens einen Resonanzkondensator (9.1, 9.2), der mit einer Resonanzkondensatorspannung assoziiert ist, wobei die Induktionsspule (6) elektrisch mit dem Leistungsschaltungsabschnitt (7) und dem Schwingkreisabschnitt (9) gekoppelt ist, wobei das Induktionskochfeld eine Steuerentität (10) umfasst, wobei die Steuerentität (10) ausgelegt ist zum Liefern und/oder Empfangen von Resonanzkondensatorinformationen, wobei die Informationen abgetastete Resonanzkondensatorspannungswerte sind, Anwenden einer diskreten mathematischen Transformation auf die Resonanzkondensatorinformationen, wodurch modifizierte Resonanzkondensatorinformationen erhalten werden, wobei die Steuerentität (10) weiter ausgelegt ist zum Berechnen erster und zweiter elektrischer Informationen bezüglich der Induktionsspule (6), wobei die Informationen Informationen sind hinsichtlich der Amplitude des durch die Induktionsspule (6) bereitgestellten elektrischen Stroms (Ic) und Informationen hinsichtlich der Phasenverzögerung zwischen dem durch die Induktionsspule (6) bereitgestellten elektrischen Strom (Ic) und der an die Induktionsspule (6) angelegten Spannung auf Basis der modifizierten Resonanzkondensatorinformationen.
  2. Induktionskochfeld nach Anspruch 1, wobei die ersten und/oder zweiten elektrischen Informationen bezüglich der Induktionsspule (6) berechnet werden ohne Berücksichtigen von Informationen, die eine an einem Schaltungsknoten bereitgestellte Spannung, der sich zwischen einem Paar von Schaltelementen (4, 5) befindet, anzeigen.
  3. Induktionskochfeld nach Anspruch 1 oder 2, wobei die diskrete mathematische Transformation eine diskrete Kosinus-Transformation ist.
  4. Induktionskochfeld nach einem der vorhergehenden Ansprüche, wobei die diskrete mathematische Transformation auf Sinus- und Kosinus-Referenzfaltungssignalen basiert, wobei die Sinus- und Kosinus-Referenzfaltungssignale berechnet werden auf Basis von Informationen bezüglich der Frequenz des durch die Induktionsspule (6) bereitgestellten elektrischen Stroms (Ic) und der Abtastfrequenz, auf Basis derer die abgetastete Resonanzkondensatorspannung erhalten wird.
  5. Induktionskochfeld nach Anspruch 4, wobei die Sinus- und Kosinus-Referenzfaltungssignale auf den folgenden Formeln basieren: ω = 2 π inFreq
    Figure imgb0094
    cos REF k = cos k 1 ω Δt SAMPLE , s ;
    Figure imgb0095
    cos REF A CC k = 1 i = k 1 cos REF i + cos REF k ;
    Figure imgb0096
    sin REF k = sin k 1 ω Δt SAMPLE , s ;
    Figure imgb0097
    sin REF ACC k = 1 i = k 1 sin REF i + sin REF k ;
    Figure imgb0098
    wobei
    infreq die Frequenz des durch die Induktionsspule fließenden Stroms ist;
    k ein Index ist, der einen gewissen Abtastwert anzeigt; cosREF ACC und sinREF ACC Akkumulatoren sind; und
    ΔtSAMPLE,s die Zeitspanne zwischen zwei konsekutiven Abtastwerten ist.
  6. Induktionskochfeld nach einem der vorhergehenden Ansprüche, wobei die Sinus- und Kosinusreferenzfaltungssignale auf den folgenden Formeln basieren: averageCOS = cos REF ACC bufferlength ;
    Figure imgb0099
    averageSIN = sin REF ACC bufferlength ;
    Figure imgb0100
    cosREF k = cosREF k 1 averageCOS ;
    Figure imgb0101
    sinREF k = sinREF k 1 averageSIN ;
    Figure imgb0102
    wobei
    bufferlength berechnet wird auf Basis der folgenden Formel: bufferlength = trunc 1 inFreaq Δt SAMPLES , s ;
    Figure imgb0103
    wobei inFreq die Frequenz des durch die Induktionsspule (6) bereitgestellten elektrischen Stroms (Ic) ist.
  7. Induktionskochfeld nach Anspruch 6, wobei Anpassungssignale wie folgt berechnet werden: accCos k = 1 i = k 1 cos REF i inputSample i + cos REF i inputSample k ;
    Figure imgb0104
    accSin k = 1 i = k 1 sin REF i inputSample i + sin REF k inputSample k ;
    Figure imgb0105
    accAverageRec k = 1 i = k 1 inputsample i + inputSample k ;
    Figure imgb0106
  8. Induktionskochfeld nach Anspruch 7, wobei Zwischensignalwerte wie folgt berechnet werden: cos EST = 2 accCos inFreq Δt SAMPLE , s ;
    Figure imgb0107
    sin EST = 2 accSin inFreq Δt SAMPLE , s ;
    Figure imgb0108
    avgEst = accAverageRec bufferLength ;
    Figure imgb0109
  9. Induktionskochfeld nach einem der vorhergehenden Ansprüche, wobei Maximal- und Minimalwerte von Resonanzkondensatorspannung und Phasenverzögerungswert wie folgt berechnet werden: peakValue = cos Est 2 + sin Est 2 ;
    Figure imgb0110
    VcMax = avgEst + peakValue ;
    Figure imgb0111
    VcMin = avgEst peakValue ;
    Figure imgb0112
    phaseDelay Vc = tan 1 sinEst cosEst .
    Figure imgb0113
  10. Induktionskochfeld nach Anspruch 9, wobei der Spitzenwert des durch die Induktionsspule (6) bereitgestellten elektrischen Stroms (Ic) auf Basis der folgenden Formel berechnet wird: Ic = 2 πƒ VcMax VcMin Cres ;
    Figure imgb0114
    wobei Cres der Kapazitätswert des Resonanzkondensators (9.1, 9.2) ist und f die auf die Induktionsspule (6) angewendete Schaltfrequenz ist.
  11. Induktionskochfeld nach einem der Ansprüche 8 bis 10, wobei eine kompensierte Phasenverzögerung zwischen dem durch die Induktionsspule (6) bereitgestellten elektrischen Strom (Ic) und der an die Induktionsspule (6) angelegten Spannung auf Basis der folgenden Kompensationsformeln berechnet wird: sin Comp = 2 π cosEst cos 4 πK cosEst + sinEst sin 4 πK + 4 π sinEst K cos 4 πK + 8 K 2 π 2 1 ;
    Figure imgb0115
    cos Comp = 2 π sinEst + cosEst sin 4 πK sinEst cos 4 πK 4 π cosEst K cos 4 πK + 8 K 2 π 2 1 ;
    Figure imgb0116
    wobei K ein Kompensationskoeffizient ist, der berechnet wird als: K = numSample Δt SAMPLE , s inFreq ;
    Figure imgb0117
  12. Induktionskochfeld nach Anspruch 11, wobei eine kompensierte Phasenverzögerung auf Basis der folgenden Formel berechnet wird: peakValueComp = cos Comp 2 + sin Comp 2 ;
    Figure imgb0118
    VcMaxComp = avgEst + peakValueComp ;
    Figure imgb0119
    VcMinComp = avgEst peakValueComp ;
    Figure imgb0120
    phaseDelayVcVomp = tan 1 sin Comp cos Comp ;
    Figure imgb0121
    IcComp = 2 πƒ VcMaxComp VcMinComp Cres ;
    Figure imgb0122
  13. Induktionskochfeld nach Anspruch 12, wobei ein geschätzter mittlerer Leistungswert auf Basis der folgenden Formel berechnet wird: avgPowerEst = k = 1 nSamples Vmain k Ic Est k PhM _ Est k 2 MainLineFreq ;
    Figure imgb0123
    wobei Vmain der gleichgerichtete Wert einer Netzspannung bei Abtastwerte k ist, IcEst der geschätzte Wert eines durch die Resonanzkondensatoranalyse erhaltenen kompensierten oder unkompensierten Spulenstroms ist und PhM_Est die durch die Resonanzkondensatoranalyse erhaltene kompensierte oder unkompensierte Phasenverzögerung ist.
  14. Induktionskochfeld nach einem der vorhergehenden Ansprüche, umfassend keinen elektrisch mit der Induktionsspule (6) gekoppelten Stromwandler (8), wobei die ersten und zweiten elektrischen Informationen bezüglich der Induktionsspule (6) durch einen Algorithmus bereitgestellt werden, der maximale und minimale Spitzenwerte der Resonanzkondensatorspannung berechnet durch Rekonstruieren einer sinusförmigen Welle auf Basis von abgetasteten Werten der Resonanzkondensatorspannung.
  15. Verfahren zum Betreiben eines Induktionskochfelds, wobei das Induktionskochfeld eine Schaltungsanordnung (la) umfasst zum Bestromen mindestens einer Induktionsspule (6), wobei die Schaltungsanordnung (la) einen Leistungsschaltungsabschnitt (7) umfasst mit mindestens einem Schaltelement (4, 5) ausgelegt zum Liefern gepulster elektrischer Leistung an die Induktionsspule (6) und einem Schwingkreisabschnitt (9) umfassend mindestens einen Resonanzkondensator (9.1, 9.2), der mit einer Resonanzkondensatorspannung assoziiert ist, wobei die Induktionsspule (6) elektrisch mit dem Leistungsschaltungsabschnitt (7) und dem Schwingkreisabschnitt (9) gekoppelt ist, wobei das Induktionskochfeld eine Steuerentität (10) umfasst, die die folgenden Schritte durchführt:
    - Bereitstellen und/oder Empfangen von Resonanzkondensatorinformationen, beispielsweise Resonanzkondensatorspannungswerten;
    - Anwenden einer diskreten mathematischen Transformation auf die Resonanzkondensatorinformationen, wodurch modifizierte Resonanzkondensatorinformationen erhalten werden;
    - Berechnen erster und zweiter elektrischer Informationen bezüglich der Induktionsspule (6), wobei die ersten und zweiten elektrischen Informationen Informationen sind bezüglich der Amplitude des durch die Induktionsspule (6) bereitgestellten elektrischen Stroms (Ic) und Informationen bezüglich der Phasenverzögerung zwischen dem durch die Induktionsspule (6) bereitgestellten elektrischen Strom (Ic) und der an die Induktionsspule (6) angelegten Spannung auf Basis der modifizierten Resonanzkondensatorinformationen.
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