2.1. System Overview
Figure 2 shows the typical block diagram of a batteryless NFC sensor. It consists of an NFC IC with a loop antenna, a microcontroller (MCU), an analog front end (AFE) and sensors. The NFC IC performs two tasks: collects the energy from the electromagnetic field generated by the reader to power up the sensor, and establishes data communication between the sensor and the reader.
The main difference between an NFC IC that includes energy harvesting compared to those designed for RFID cards is the presence of an energy-harvesting voltage output. When the magnetic field is high enough, this energy-harvesting voltage output is enabled in the IC configuration registers, and the NFC IC provides a DC voltage capable of powering other circuits. This output is connected to the internal rectifier of the IC, which obtains the energy from the incoming RF field. In most NFC ICs, the output is regulated, and external circuitry can be powered directly without the need for a battery.
The reader–tag communication is represented schematically in
Figure 3. It is based on inductive coupling between two coil antennas and works at the 13.56 MHz ISM band. The reader starts the communication by generating an unmodulated magnetic field at the carrier frequency
= 13.56 MHz. Once the NFC tag is in the close vicinity of the reader, inductive coupling occurs between both coils (Faraday’s law of induction), allowing to power the tag. Then, the reader sends commands modulating the carrier using ASK modulation. The tag responds to the command by transferring the data stored in the internal memory through load modulation (switching the tag antenna load using a subcarrier). The data transmitted by the tags based on the ISO 14443 standard modulate a subcarrier whose value is
/15 = 847.5 KHz, whereas those based on standard ISO 15693 support one or two subcarriers. In the event of using a single subcarrier, the frequency
of the subcarrier load modulation is
/32 (423.75 kHz). When two subcarriers are used, the frequencies
and
are
/32 (423.75 kHz) and
/28 (484.28 kHz), respectively.
General-purpose NFC ICs do not include an analog-to-digital converter (ADC); for this reason, a microcontroller is needed to acquire the data from sensors. However, for specific applications, there are ICs that incorporate these functions, and the trend of most of them is to use the ISO 15693 standard. However, it is also possible to find devices based on ISO 14443-3.
Table 2 summarizes some features of several commercial NFC ICs (this is an updated version of the table presented in [
31], which does not consider the models that are now obsolete). The data read by the ADC microcontroller are sent to the EEPROM memory of the NFC IC through a two-wire
serial interface and are encoded in a standard NFC data exchange format (NDEF), which is readable using NFC protocol. The microcontrollers used in the design of these batteryless sensors are usually low cost and low power (typically 8-bit) since they do not need to perform very complicated functions or complex calculations, which in most cases can be performed by the reader. The clock speed of the microcontroller may be low (e.g., to 1 MHz) in order to reduce power consumption. As the number of logic gates in 8-bit microcontrollers is less than that in 16-bit ones, their power consumption in active mode is smaller. Modern 8-bit microcontrollers can generally work at voltages down to 1.8 V and therefore can operate at high current load modes that provide low energy-harvesting output voltages. With this configuration, the current consumption of the microcontroller in active mode can be less than 1 mA, and accordingly, it can be powered by the NFC IC.
A storage capacitor
is connected to the energy-harvesting output. The value chosen must be the one that avoids voltage drops during the modulation pauses of the reader (Miller modulation type), which are of
duration. A low dropout regulator can be used to reduce voltage fluctuations during reader interrogation periods. In both ISO 14443-3 and ISO 15693 standards,
is about 10
s. The voltage drop in the storage capacitor can be calculated from the following expression:
where
is the load current obtained from the energy-harvesting output. For a value of
and load currents of 2 mA, the voltage drop at the input of the regulator is around 20 mV, which is acceptable for low-drop regulators. Note that this dropout is like a small burst that can propagate to the analog front end (AFE), introducing noise in the ADC lines, which can further be amplified for example, in the potentiostat’s high-gain transimpedance amplifier (TIA) when using electrochemical sensors.
2.2. Tag Design Considerations
Figure 4 shows an equivalent circuit for the NFC tag. It consists of the following parts: the equivalent voltage at the antenna, the equivalent electrical circuit of the tag antenna and the input equivalent circuit of the NFC IC modeled as a parallel RC circuit, and a tuning capacitor
. The equivalent electrical circuit of the tag antenna consists of an inductance
connected in series with resistance
that models the antenna losses (DC plus AC due to skin effect). The parallel capacitance
is associated to the parasitic capacitance of the antenna and layout interconnections. The NFC IC input impedance exhibits a non-linear behavior [
34]. Whereas the equivalent chip capacitance
hardly depends on the input voltage, the same does not happen with the resistance
, which also depends on the input IC voltage and the load connected to the energy-harvesting output.
is on the order of several hundred
to k
[
35,
36].
The equivalent voltage at the antenna
induced by the AC variation of the magnetic flux is obtained from Faraday’s law:
where
f is the frequency,
A is the area of the printed coil antenna,
N is the number of loops of the coil,
is the vacuum magnetic permeability, and
is the average magnetic field of the tag antenna. For antennas loaded with magnetic material (e.g., ferrite sheets),
must be replaced by the effective magnetic permeability (which is defined as the ratio of the inductances loaded with and without ferrite).
The magnetic field depends on the distance between the tag and the reader and the alignment of the antennas. For a correct operation of the tag, a minimum voltage
at the input of the IC is required. By analyzing the circuit of
Figure 4, the voltage at the input of the chip can be obtained [
37], as well as the minimum required magnetic field given by [
31,
37]
where
is the effective magnetic permeability in the case of considering ferrite materials.
To achieve high energy transfer, the resonance frequency of the tag has to be adjusted to 13.56 MHz (which is the operating frequency of the NFC). The tag’s resonance frequency is given by
is the total quality factor of the tag at the resonance frequency, which is a combination of the quality factor of the antenna
and that of the NFC IC
:
For antennas with high-quality factors, the total quality factor can be approximated by that of the NFC IC ().
Some guidelines can be obtained by analyzing (
3). Considering the inductance of the designed antenna, the resonance frequency
has to be tuned to 13.56 MHz to reach the minimum value of
. To this end, the tuning capacitance can be calculated from Equation (
4). In this procedure, it is necessary to know the value of the antenna inductance, which can be obtained from simulations or from measurements of antenna impedance performed with a vector network analyzer or an impedance analyzer. It is essential to reduce the detuning of the tag caused by the presence of metal parts, such as the mobile casing, which reduces the inductance due to the image currents induced in the metal [
31,
38]. Therefore, the measurement must be made under conditions equivalent to those of the operation of the tag. One of the advantages of NFC over other RFID technologies at higher frequencies (e.g., UHF band) is its robustness against the presence of high-permittivity materials such as some liquids or the body itself. As these materials are not magnetic, the effect of the permittivity induces the variation of the parasitic capacitance, which is of the order of few pF, below the typical input IC capacitance (around 30 pF). The final tuning process can be carried out by measuring the S
11 reflection coefficient with a test coil connected to a VNA (
Figure 5). The adjustment should be performed in the presence of a mobile phone or a metal plate at the desired reading range in order to simulate the actual operating conditions. The resonance frequency is obtained from the frequency of the notch of the S
11. Measurements can be made with low-cost VNAs operating at 13.56 MHz, such as NanoVNA, or with spectrum analyzers equipped with a reflectometer. Alternatively, a setup consisting of a signal generator connected to a transmitting antenna and a receiving antenna connected to an oscilloscope can be used to measure the resonance frequency of the tag [
39] (
Figure 6); the measurement consists in sweeping the frequencies with the generator in such a way that the resonance frequency is obtained when the maximum of the voltage is measured at the oscilloscope. Simple test coils can be handmade with a wire coil connected to a coaxial connector.
The selection of the antenna depends on several factors, including the final application of the tag. However, some restrictions should be considered. The antenna (including its parasitic elements) and the input impedance of the chip act as a bandpass filter. If the total quality factor of the tag is too high, the sidebands are attenuated, and the communication between the tag and reader becomes worse. The maximum value of the quality factor can be estimated from the bandwidth using the following relationship:
where
= 13.56 MHz is the tag operation frequency, and
is the frequency of the modulated subcarrier, which depends on the standard. For tags that comply with ISO 14443 (
) and ISO 15963 (
) standards, the maximum total quality factors are 8 and 14, respectively. Note that these quality factors are notably lower than that required in the reader, which is of the order of 40 [
31]. This maximum value of the quality factor imposes a minimum inductance value, which can be estimated from Equation (
5). For antennas with a high quality factor, the chip quality factor predominates and can be estimated from [
40]
For NFC ICs with energy harvesting, the value of
is of the order of 525
[
41] so that the minimum inductance values are 770 nH and 440 nH for the tags that work under ISO 14443 and ISO 15963 standards, respectively. The maximum value of the antenna inductance is limited by the resonance condition (
4), which for an NFC IC with a
of 30 pF results in a maximum inductance of 4.5
H. Low inductance values must be avoided since more current flows through the tag and, as a result, the coupling between the reader and the tag causes a reader impedance mismatch. To increase the energy transfer, the coupling coefficient between the antennas of both the tag and the reader should be as high as possible. To this end, the size of both antennas must be similar but not identical to avoid the detuning effect at short distances [
42]. Modern mobiles embed the NFC antenna around the camera aperture or over the battery case, with typical sizes around 2–2.5 cm
[
43,
44,
45,
46].
Square, circular, hexagonal, and octagonal inductors are widely used for the design of NFC antennas. For a particular shape, the inductance is obtained from the number of turns
N, the width
w, the space between turns
s, the outer diameter
and the inner diameter
. For single-layer loop antenna designs, simple analytical expressions can be used as starting point, and the inductance can be calculated using the modified Wheeler expression [
47]:
where
is the vacuum magnetic permeability constant (
H/m) and
is the average diameter:
and
is the fill factor that represents how hollow the inductor is. It is defined as
The coefficients
and
are shape dependent and are given in
Table 3. Other alternative expressions for the inductance calculation are the current sheet approximation and data-fitted monomial [
48].
Typically, the space between turns
s is chosen in the order of
w. This value improves the magnetic coupling between strips and reduces the size of the inductor. Large spacing
s is only considered to reduce the strip capacitances. The accuracy of the Wheeler’s inductance expression is 8% [
48]. In cases where other antenna shapes are considered, multilayer designs are intended, or higher accuracy is desired, it is essential to use electromagnetic solvers. The antenna quality factor can be evaluated from the equivalent series resistance that can be computed from the wire resistance, taking into account the skin depth [
49]:
where
t is the thickness of the conductor,
is its conductivity, and
is its total length, which for a square shape is
The skin depth is given by [
49]:
Although NFC antennas have a high degree of electromagnetic compatibility with the body compared to other wireless systems that operate at higher frequencies and are based on far-field communication, some challenges must be considered. The reading range is related to the area and quality factor of the antenna. Therefore, in some applications, such as wearable patches, where there are size limitations and integration constraints, the energy-harvesting capacity of the antenna may be limited. Another challenge is the problems associated with the detuning of the system due to the presence of metal parts as happens in smartphones.
To study the influence of the antenna on the reading range, several simulations are performed. Two limit cases are considered. The first is an antenna printed on a typical FR-4 PCB, whose copper plating is 35
m thick (copper conductivity
S/m). Since the skin depth at 13.56 MHz is less than the strip thickness (17
m), the designed antennas can have high quality factors. Other substrates, including flexible ones such as polyimide (Kapton), can be used to design PCB antennas. Another traditional technology that can be used to manufacture high quality factor and flexible coils is based on the use of wire coils made with copper. The performance results depend on the thickness of the strip or the diameter of the wire employed. The second case is based on antennas printed with conductive inks [
50]. Inks used by the inexpensive Voltera printers are used, with 70
m thick strips and conductivity of
S/m. Since the skin depth is 125
m, the antennas have a poor quality factor but offer the advantages of printed electronics, including the choice of substrate, which can be flexible [
51]. Another interesting technology for manufacturing NFC antennas is the use of fabrics with conductive threads [
52]. In this case, the quality factor of the antennas depends on the conductive thread used [
51,
53,
54].
Figure 7 shows the simulated inductance, using Wheeler’s formula, of a square-shaped loop antenna with a different number of turns (N from 1 to 5) for strip widths of
w = 0.5 mm and
w = 1 mm. Spacing (
s) is identical to the width (
s =
w). As expected, antennas with smaller widths result in higher values of both inductance and series resistance, and, therefore, lower quality factors.
Figure 8 and
Figure 9 show the total quality factor of the tag, assuming
, and antennas made of copper or conductive ink, respectively. The maximum quality factors for ISO 1443 and ISO 1593 are also shown. While in the antennas made of copper, the quality factor depends mainly on the IC load, in those printed with conductive ink, the quality factor essentially depends on the antenna.
Figure 10 and
Figure 11 show the simulated
at the resonance frequency (
), considering an NFC IC with a minimum voltage
. The minimum average magnetic field required for energy harvesting increases when the quality factor decreases. In consequence, the reading range of antennas printed with conductive inks is smaller than that of those made of copper. Interesting conclusions are drawn from these figures that can be taken as design guidelines. For high-Q antennas, where the dominant quality factor is that of the IC (outer diameters >25–30 mm), it is preferable to use coils with a small number of turns, contrary to what happens for antennas with poor quality factors, where it is more appropriate to increase the number of turns.
Figure 12 plots
as a function of frequency for a tag with a high-Q antenna (made of copper) and a low-Q antenna (made with conductive ink). If the same outer diameters are considered, the quality factor decreases with the increasing number of turns. Consequently, the bandwidth increases, so the problems associated with detuning (caused for example by the proximity of metals) are less important.
The circuit simulation shown in
Figure 13, performed with Keysight ADS, is used to generate
Figure 14,
Figure 15,
Figure 16 and
Figure 17, which show the reflection coefficient and the efficiency (relationship between the power delivered to the load and the power available from the reader) as a function of the frequency, computed for two antennas, one made of copper and the other printed with conductive ink. Both antennas have an outer diameter of 40 mm,
w =
s = 1 mm, and the cases of N = 3 and N = 5 loops are considered. The simulations assume that the transmitter uses an antenna with an inductance of 3
H, and its quality factor is set to 35 to ensure that it does not limit the bandwidth required for the modulated signal to be transmitted. Both the transmitter and reader are tuned to 13.56 MHz using a matching network in the transmitter and a tuning capacitor next to the tag. The total tag capacitance includes chip and tuning capacitances, as well as parasitic capacitance. The reflection coefficient and efficiency can be calculated by performing an S-parameter simulation, where the reference impedances for ports 1 and 2 are the equivalent resistance of the transmitter and the resistance of the NFC IC, respectively. The reflection coefficient is evaluated from
, and the efficiency is given by
. The NFC IC-equivalent input resistance is considered
= 525
. Different coupling coefficients
k are simulated, which correspond to the cases of weak (when the distance between tag and reader is high,
k = 0.05), medium (
k = 0.1), and high coupling (when the distance between tag and reader is small,
k = 0.2). The mismatch effect on the reader can be observed when the tag is close to the reader. In this case, a reduction in both the efficiency and power received by the tag is observed. This loading effect increases for small tag inductances (N = 3). The use of antennas printed with low-conductivity inks and, therefore, with small quality factors, translates into a noticeable reduction in the efficiency and the harvesting capability.
The previous discussion helps to understand read range limitations and the influence of the tag antenna, but knowledge of two nonlinear parameters of the tag, such as the equivalent IC resistance (
) and the minimum voltage,
is also required. These two nonlinear parameters are not provided by the manufacturer. The minimum magnetic field and read range can be obtained experimentally. To this end, the magnetic field generated by the reader must be measured with a test coil antenna (preferably the same antenna that is used in the tag). A procedure to measure the average magnetic field from the power received at the test coil antenna using a spectrum analyzer is described in [
31]. To obtain the magnetic field, the antenna factor must be determined from impedance measurements with a VNA. A second, simpler method consists in measuring the RMS voltage using the test coil antenna (
). Since an oscilloscope has a larger input impedance than that of the antenna (typically 1 M
in parallel with 15 pF), the average magnetic field can be calculated from Faraday’s law:
where
A is the area and
N is the number of turns of the test coil.
The average magnetic field depends on the reader. It is expected that higher read ranges can be achieved using readers with larger antennas and transmitters with power higher than that of the transceivers integrated on smartphones [
33]. As an example, the following figures show read range measurements comparing three commercial NFC ICs with energy-harvesting capabilities [
32]. The following NFC ICs are selected: M24LR04E-R and ST25DV from ST Microelectronics, and NT3H11 from NXP. To compare the performance of the different ICs, a coil with a size like that of the smart cards is chosen. Therefore, the read range obtained can be considered representative of general-purpose NFC-based sensors. A 50 × 50 mm loop antenna with 6 turns printed on a 0.8 mm thick FR4 substrate is designed. The width of the strips is w = 0.7 mm, and the gap spacing is s = 1 mm. To investigate the load effect produced by the power consumption of the sensors and the microcontroller, a variable load resistance is connected to the energy-harvesting output of the NFC IC.
Figure 18a shows the voltage at the energy-harvesting output as a function of the distance between the tag and the mobile phone used as a reader (Xioami Mi 10 Note 2) for a typical current of 3 mA through the load. The three commercial ICs provide a regulated voltage around 3 V. This figure includes the measured average magnetic field in order to determine the minimum magnetic field (
) necessary for the correct operation of the sensor, which depends on the current in the load. Note that this energy-harvesting range is lower than the read range for reading data previously saved in the NFC IC memory because the ICs do not activate the energy-harvesting output if they do not receive enough power, although they can respond to reader commands.
Figure 18b shows the maximum distance reached by the three commercial NFC ICs, where the tag provides a constant voltage on the energy-harvesting output as a function of the current in the load. From these results, it can be concluded that the sensors with current consumption up to 5 mA can be powered by these NFC ICs as long as the magnetic field is high enough. However, in practice, it is advisable to limit it to 3 mA to have a margin faced with the misalignment between coils or the differences in power transmitted between different readers.