磁阻传感器理论依据MR_Basics

MR BASICS – MEAS DEUTSCHLAND GMBH 1 MR Basics An Introduction to Magnetoresistive Sensors Axel Bartos, Armin Meisenberg MEAS Deutschland GmbH Hauert 13, D-44227 Dortmund, Germany www.meas-spec.com This application note provides a very basic introduction to the fundamentals of magnetoresistive (MR) sensors for those users who may be unfamiliar with their characteristics and modes of operation. Magnetic sensors Sensors that monitor properties such as temperature, pressure, strain or flow provide an output signal that is directly related to the desired parameter. Magnetic sensors, on the other hand, differ from most of these detectors as they very often do not directly measure the physical property of interest. They detect changes, or disturbances in magnetic fields that have been created or modified by objects or events. The magnetic fields may therefore carry information on properties such as direction, presence, rotation, angle, or electrical currents that is converted into an electrical voltage by the magnetic sensor. The minor amount of magnetic sensors measure magnetic fields absolutely, like earth field in compassing. The output signal requires some signal processing for translation into the desired parameter. Obviously, a magnetic field distribution depends on distance and the form of the creating or disturbing object (i.e. magnet, current etc.) or event. It is therefore important always to consider both sensor and creating object in the application design. Although magnetic sensors are somewhat more difficult to use, they do provide accurate and reliable data — without physical contact. The magnetoresistance effect Lord Kelvin discovered magnetoresistance in 1857 when he noticed the slight change in the electrical resistance of a piece of iron when he placed it in a magnetic field. But it took more than 100 years before a first magnetoresisitve (MR) sensor concept was reported by Hunt in 1971. And it lasted additional 20 years for IBM to introduce the first MR head, which used a strip of magnetoresistive material to detect bits, into a hard disk drive in 1991. Earlier, MR sensors were used in less demanding applications of price-tag and badge readers (read-only) and magnetic tape (1985). The geometry of a Hunt element – a magnetoresistive film with a sense current I and magnetization vector M at a singal determining angel α to the current in the plane of the film – is depicted in figure 1. A magnetic field Hy coupled into the soft magnetic sensor material MR BASICS – MEAS DEUTSCHLAND GMBH 2 will change the resisitivity of the stripe, which is probed by the sense current. Fig. 1: The geometry of a Hunt element The change in resistivity is found experimentally to be )cos1( 20 α⋅ ∆ +⋅= R RRR (1) where R0 is the resistivity with magnetization perpendicular to the sense current (α=90°). Due to its excellent properties, the material to choose for magnetic sensors utilizing the magnetoresistance effect is Permalloy, a Ni-Fe alloy with approximately 80% Ni content. The value of the MR coefficient ∆R/R is typically 1.5-3% for Permalloy, depending on stripe geometry and preparation conditions. An approximation between the signal determining angle α and an applied magnetic field in y direction Hy can be given for Hy10 kA/m), the magnetization vector in the sensor is MR BASICS – MEAS DEUTSCHLAND GMBH 3 always (almost) parallel to the applied field. A common application for a magnetoresistive high field sensor is a contactless angular sensor, like the KMT31 or KMT32B. In low field applications the magnetization vector is mainly determined by the form of the strips, because the magnetization shows a natural preference for the longitudinal direction. The external field causes a twist α of the magnetization in the stripe, which changes the resistance due to the MR effect. Linear low field sensors like the MR174B die and the KMY sensors are typically working in this mode. MR sensors with linearized transfer curve Applying low magnetic fields to a Hunt element will lead only to small changes of the magnetization and in turn, the cos term in formula (1) will hardly change at small changes of α. A Hunt element is not sensitive at small field strengths. In order to make the MR sensor sensitive for low magentic fields, the MR transfer curve (1) has to be modified. The most common way is achieved by barber poles, as shown in figure 2. Small, highly conductive bars – the barber poles -- are placed on top of the Permalloy. They will shunt the current in the Permalloy and will change the current path due to their geometry, but they will not change the magnetic behaviour. The current between the barber pole gaps will take the shortest path, i.e. perpendicular to the barber poles. Fig.2: Covering the MR stripe with highly conductive barber poles will change the current direction in the Hunt element but will not alter the magnetical behaviour of the Permalloy. Now, with no field present, the signal determing angle will be 45°, i.e. α has to be substituted by °+→ 45αα which will change formula (1) to αα 200 sin1sin −⋅⋅ ∆ ⋅±= R RRRR (3) Substituting formula (2) into (3) results in 2 00 1         −⋅         ⋅ ∆ ⋅±= eff y eff y H H H H R RRRR (4) which now reveals linearity with Hy for effy HH ⋅< 2 1 . Fig.3: Characterisitc tranfer curves for MR elements, (a) without and (b) with barber poles. MR BASICS – MEAS DEUTSCHLAND GMBH 4 Sensor linearity The linearity of the sensor output signal depends on the relation of the real signal amplitude to the maximum output voltage amplitude. Fig. 4 shows the linearity deviation in relation to this quotient (in percent): 0% 2% 4% 6% 8% 10% 0% 20% 40% 60% 80% 100% signal ampl. in % of max. ampl. lin ea rit y de v ia tio n in % Fig. 4: Linearity of MR174B (KMY20S/M & KMZ20S/M) Sensor stability The magnetostatic energy is the same for a magnetic domain whether it is for example parallel HM ↑↑ or antiparallel HM ↑↓ to the external field. In other words, magnetic domains can fluctuate between two directions in a stable environment. This is not an issue in case of high field sensors, as the transfer curve is quadratic in α. But it has dramatic effects in case of a barber pole sensor, as now the output signal changes also sign. For this reason, low field magnetoresistive sensors like the barberpole sensor have to be stabilized (biased) by an external additional field (Hx), which is favorable oriented along the MR stripe (i.e. x-direction). The only task of this field is to define a preferrential direction for the alignment of the magnetic domains. The bias field must be strong enough that disturbing fields are not able to switch domains. It has been found empirical, that bias field strengths greater than appr. 2.5 kA/m ensure proper performance of the sensor. Fig. 5: The characteristic curves of a barber pole sensor for different bias fields Smaller bias fields One should keep in mind that a biasing field will change the sensitivity of the sensor. This is shown in figure x and in table x. 0 2 4 6 8 10 12 14 16 0 1 2 3 4 5 Hx [kA/m] se n si tiv ity [(m V/ V) /(k A /m )] Fig. 6: Sensitivity versus bias field In some applications a high sensitivity is desired. In this case it is possible to work without a bias field. To do so, the sensor MR BASICS – MEAS DEUTSCHLAND GMBH 5 must be well preconditioned: immediately before the measurement, the magnetization is flipped by a short magnetic pulse in a defined x-direction (premagnetisation). To prevent the stripe magnetization of flipping during the time between premagnetisation and measurement, external fields must be limited to approx. less than 0.5 kA/m. Bias field Operating Sensitivity max. field Remark Hx field range S Hy,max in kA/m in kA/m in mV/V/kA/m in kA/m 0 0.35 14 0.5 Premagnetization necessary 1 0.5 10.5 0.5 Premagnetization necessary 2 1.1 6.3 1 Premagnetization recommended 3 1.4 4.9 ∞ Stable 5 2 3.4 ∞ Stable Tab. 2: Sensitivity and recommended operating area Permanent magnets and barber pole sensors The stabilizing Hx-field is usually generated by a permanent magnet. Using KMY20S or KMZ20S the customer has to apply a permanent magnet to generate the required bias field. KMY20M and KMZ20M are provided with an internal Barium-ferrite-magnet. The maximum external field strength is only limited by the stability of the permanent magnet material. In the case of the KMY20M and KMZ20M-types disturbing fields higher than approx. 40 kA/m (500 Gauss) can change the magnetization direction of the permanent magnet irreversible. This can lead to a permanent change in the offset voltage and to a destruction of the sensor function. This limitation can be extended by use of S-type sensors in combination with other magnets, like for example rare earth magnets, which have to be provided by the user. Temperature Both ohmic and magnetoresistance originate from scattering processes of the conducting electrons. As all scatter processes are temperature dependent, the bridge resistance and MR effect ∆R/R show a temperature dependence as well. Temperature coefficients are usually related to two temperatures via %100)( )()( )( 1 1 12 12 ⋅ − ⋅ − = TX TXTX TT TCX for X= bridge resistance (BR), and signal voltage ∆R/R (SV). If not otherwise stated, usually T1 = -25 °C and T2 = 125 °C. In case of Permalloy both bridge resistant and amplitude temperature coefficient have roughly the same value, but differ in sign TCBR≈-TCSV. This fact enables the user to compensate the temperature dependence of sensitivity by using constant current supply. In this case the supply voltage increases with increasing temperature and increasing bridge resistance. This effect causes an MR BASICS – MEAS DEUTSCHLAND GMBH 6 increasing output voltage, which compensates the loss in sensitivity. Another important value is the temperature coefficient of the offset. This temperature coefficient is caused by small differences in the temperature behaviour of the four bridge resistors. In practice, a drift in the output voltage is observed, which can not be separated from the regular output signal caused by magnetic fields. In applications using DC-signal coupling the temperature coefficient of the offset will thus limit the measurement accuracy. Permalloy is a very robust material that can withstand very high temperatures up to approx. 300°C when protected by a coating. In this case, packaging will be the limiting factor. Contact Axel Bartos MEAS Deutschland GmbH Hauert 13 D-44227 Dortmund Germany www.hlplanar.com www.meas-spec.com phone: +49 (231) 9740-0