Mechanical Battery Testing Using Force Sensors

1 Motivation

Batteries as power sources for motor vehicles are based on lithium-ion systems with the lithium-ion cells generally having anodes made of graphite. During the charging process, lithium ions are stored in the graphite, resulting in a volume increase.

In 2014, Florian Grimsmann [1] described a method that enables a change in the cell thickness to be measured during the charging and discharging processes. He also successfully measured the changes in the dimensions of battery cells due to irreversible changes in thickness (lithium-plating) at very low temperatures or high charging currents.

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FIG. 1: BASIC DESIGN OF A TEST SETUP FOR MEASURING THE FORCE EFFECT OF BATTERY CELLS

Aside from the force, heat is also generated in the cells during the charging and discharging cycles, therefore, the effect of a temperature gradient on the force transducer is to be expected since it is in direct mechanical contact with the test specimens. The tests may run for a very long time, without the possibility of zero-balancing the measuring chain. Small changes in force must be reliably detected, making a low measurement uncertainty important.

Other measured variables, such as current and voltage on the electrical side and the measurement of displacement (deformation of the cells) are usually recorded as well. The temperature information is also significant.

The typical mechanical setup consists of a force frame. The cell under test is generally mechanically connected to a force transducer to allow for force measurement. High demands need to be placed on the stiffness of the frame. An example setup is shown in the figure below.

FIG. 3: C10 RADIALLY-SYMMETRIC SHEAR-FORCE SENSOR FOR COMPRESSIVE FORCES. VERSIONS WITH A SCREWED-ON FOOT ADAPTER (LEFT) AND AS A MEASURING FLANGE (SENSORS ON THE RIGHT SIDE)

The application of force results in mechanical stress to the links, which in turn results in strain. The strain gauges are installed at an angle of 45 degrees to measure strain resulting from shear stress. The field of strain is shown in the diagram in Figure 4. It does not matter where the strain occurs in the area of the measuring grid, which is beneficial to the use of strain gauges.

There are no distinct strain maximums, as known from other measuring body principles. Damage to strain gauges occurs due to the highest strain. The field of strain, which can be obtained according to the shear-force principle, is therefore particularly favourable.

The FEM model shows that, when force is applied, deformation occurs only in the areas where the strain gauges are installed (Fig. 2 right-hand figure) – all other mechanical stresses are lower. Higher strains are indicated by the colour red, with blue indicating no or little mechanical stress. As can be seen, deformations are concentrated on the area where the strain gauges are installed. Overall, the deformation under load is very small. Since the stiffness is obtained from the ratio of force and displacement (i.e., deformation under force), radially-symmetric shear-force transducers attain very high stiffness, or, in other words, minimal deformation under load.

HBK uses only chromium-nickel strain gauges in these force transducers, instead of the usual Constantan strain gauges. Constantan offers cost advantages; however, chromium-nickel material has the benefit of higher sensitivity and significantly better freedom from drift. The force sensor’s zero point remains very stable for a long time.

FIG. 4: RADIALLY-SYMMETRIC SHEAR-FORCE TRANSDUCER: FIELD OF STRAIN IN THE AREA OF THE MEASURING GRIDS OF THE INSTALLED STRAIN GAUGES

FIG. 5: RADIALLY-SYMMETRIC SHEAR FORCE TRANSDUCER: LONG-TERM STABILITY AT INCREASED TEMPERATURE (40 °C). FOLLOWING THE COMPLETION OF THE RUNNING-IN PERIOD, ALL FORCE TRANSDUCERS PRESENT A VERY STABLE BEHAVIOUR – THE LOW DRIFT ALLOWS PERFORMING MEASUREMENTS OVER LONG PERIODS WITHOUT ZERO-BALANCING

The increased sensitivity and favourable field of strain allow very high output signals of over 4 mV/V for many models and, thus, a low relative influence of temperature and drift.

The design allows the welding of the sensor. This hermetically seals and grants it extremely good stability in terms of its metrological properties.

HBK has performed complex internal tests to prove the sensors’ stability, and it has been shown that the typical drift of the zero point is approximately 200 ppm (of the full-scale value) over 700 hours. After a switch-on drift, the force transducers show an extremely small change in the zero signal even at increased temperatures which, in turn, allows unadulterated force measurements (see fig. 5).

Stiffness: Shear-force sensors have a very small displacement to ensure that the influence of the sensor on the result is smaller than the influence of the remaining setup.

Low drift: The C10 transducers have an output signal of 4 mV/V, thus, the influence of the drift is small because the drift influence is to be assessed relative to the full-scale value. Furthermore, the strain gauges are based on CrNi and can, therefore, be particularly well stabilised which results in excellent zero-point stability. A targeted report that will help estimate the drift for a year can be provided on request.

Insensitive to temperature gradients: Shear-force sensors from HBK, i.e., U10 and C10, are equipped with eight strain gauges per bridge. These strain gauges are installed on four shear beams (positions 1–4 in Fig. 6). Two strain gauges are always installed opposite each other, one measuring positive and the other one the negative strain. The advantage is that the influence of the temperature on each link is compensated for to ascertain that the sensor is highly insensitive to temperature gradients.

Hermetic sealing is guaranteed, as all C10 with nominal forces greater than 10 kN are welded and achieve IP68 with the "permanently integrated cable" option and work stably even if affected by high levels of humidity. With accuracy classes of 0.02 or 0.05, C10 are among the most precise force transducers in their class.

FIG. 6: POSITIONS OF THE STRAIN GAUGES IN A U10/C10. ONE STRAIN GAUGE EACH MEASURING A POSITIVE AND NEGATIVE FORCE IS LOCATED AT POSITIONS 1–4. THE STRAIN GAUGES ARE GLUED INTO THE HOLES. IT IS EASY TO SEE THAT THE MECHANICAL STRESSES UNDER LOAD ONLY OCCUR IN THE AREAS WHERE THE STRAIN GAUGES ARE INSTALLED (RED AREAS AT THE LINKS)