The indirectly measuring tire pressure monitoring system (DDS) detects tire pressure loss by way of a variation of the rolling circumferences or the wheel speeds of the vehicle wheels, respectively, the wheel speeds being measured by means of wheel rotational speed sensors. This indirectly measuring tire pressure monitoring system (DDS) is combined with a directly measuring tire pressure monitoring system (TPMS), which includes only two pressure sensors. This combination renders it possible to reliably monitor all vehicle tires with respect to tire pressure loss, without using a complete directly measuring tire-pressure monitoring system, i.e. equipped with four pressure sensors.
The indirectly measuring tire pressure monitoring system (DDS) normally employs for a tire pressure check non-dimensional reference values, which are determined from the wheel rotational speeds. The wheel rotational speeds n depend on the tire rolling circumferences Aj (j=1, 2, 3, 4) and on the vehicle speed V:
Any reference value Di desired can therefore be expressed as a function F of the tire rolling circumferences Aj (j=1, 2, 3, 4).
D
i
=F(A1, A2, A3, A4) (2)
i=1, 2, 3
As the rolling circumferences Aj (j=1, 2, 3, 4) depend on the tire pressures P, and hence also on the variations of the tire pressures ΔPj (j=1, 2, 3, 4), the optional reference value Di can also be written as function Φ of the variations of the tire pressures ΔPj (j=1, 2, 3, 4).
D
i=Φ(ΔP1, ΔP2, ΔP3, ΔP4) (3)
i=1, 2, 3
Because it is not possible to obtain more than three independent non-dimensional values from four wheel rotational speeds, only three equations are available for the four unknown tire rolling circumferences or pressure variations, respectively, out of the indirectly measuring tire pressure monitoring system (DDS). Therefore, two pressure sensors of a directly measuring tire pressure monitoring system (TPMS) are evaluated in addition in order to reliably detect inflation pressure loss. These two pressure sensors may be arranged at any location in or at the vehicle tires. Thus, the pressure sensors can be disposed in each case at the two wheels of one axle (axlewise arrangement) or at respectively one wheel of the front axle and one wheel of the rear axle. In this respect, the pressure sensors can be arranged at the left or the right vehicle side (sidewise arrangement) or diagonally (diagonal arrangement) at the vehicle, e.g. one pressure sensor at the left front wheel and one pressure at the right rear wheel.
The rolling circumference A of the tire in a first approximation depends on the sum of the basic rolling circumference
A0 of the tire and the product of a proportionality coefficient k and the tire pressure P. The basic rolling circumference A0 describes the rolling circumference at a tire pressure of P=0.
A≈A
0
+k·P (4)
The relative variation of the rolling circumference ΔA/A thus depends linearly on the relative variation of the pressure ΔP/P:
ΔA/A≈k·ΔP/P (5)
The variations of the three reference values ΔDi (i=1, 2, 3) depend on the pressures of all four wheels δPj=ΔPj/Pj(j=1, 2, 3, 4):
ΔDi=f(δP1, δP2, δP3, δP4)≈f1(δP1)+f2(δP2)+f3(δP3)+f4(δP4) (6)
The functions f1 to f4 are also linear in a first approximation, therefore, it is possible to use three linear equations for the calculation of the pressure variations:
The coefficients ki1 to ki4 depend on the properties of the tires and must be determined empirically. When the tire pressure in a wheel has been measured directly, this tire pressure can be considered a known quantity in the three equations 7. In this case, the three linear equations 7 form a defined system, what means that the pressure variations on all wheels can be determined (checked).
When a tire pressure check system M (M≧1) includes directly measuring pressure sensors, the system can be outlined according to the equations 7 as follows:
Each compensated reference value ΔDicomp according to equation 8 depends on (4−M)-tire pressures in the tires without pressure sensors. In order to calculate the tire pressures, only (4−M)-equations can be used by the system according to equation 8. These equations must be linearly independent.
When the directly measuring tire pressure monitoring system (TPMS) includes two pressure sensors, the following arrangements of the two pressure sensors at the vehicle or at the vehicle wheels are possible:
pressure sensors in a diagonal arrangement
pressure sensors in an axlewise arrangement
pressure sensors in a sidewise arrangement
For each of the above-mentioned positions of the pressure sensors, one of the three reference values (DIAG, SIDE, AXLE) is chosen as a main reference value for the monitoring operation. In this case, the reference values (DIAG, SIDE, AXLE) are basically composed of the wheel revolution times T of the individual wheels. The wheel revolution times T are determined from the wheel rotational speeds n of the wheels.
In case that the pressure sensors are arranged on the vehicle diagonal, the reference value DIAG is used as the main reference value:
The indices FL, FR, RL, RR refer to the front left (FL), front right (FR), rear left (RL) and rear right (RR) wheels.
In case that the pressure sensors are arranged on one vehicle side, the reference value SIDE is used as the main reference value:
In case that the pressure sensors are arranged on one vehicle axle, the reference value AXLE is used as the main reference value:
To detect tire pressure loss, three compensated reference values ΔDDIAGcomp, ΔDSIDEcomp and ΔDAXLEcomp with ΔDDIAG=DIAG, ΔDSIDE=SIDE AND ΔDAXLE=AXLE are produced from the equations 9 to 11 by using equation 8. It further applies in the directly measuring tire pressure monitoring system (TPMS) with two pressure sensors that M=2.
A warning with regard to tire pressure loss must be given, for example, when one or several pressure reductions δPj exceed a defined threshold (e.g. 25%).
For the reference value (DIAG, SIDE, AXLE) used as the main reference value, two different threshold values (low threshold value, high threshold value) are defined for the detection of tire pressure loss. These threshold values are determined empirically. In this arrangement, the high threshold value is e.g. twice as high as the low threshold value. When the result of the analysis of all three compensated reference values (ΔDDIAGcomp, ΔDSIDEcomp and ΔDAXLEcomp) is that pressure loss occurs in one vehicle tire, a warning with regard to tire pressure loss is given when the main reference value (DIAG, SIDE or AXLE) exceeds the low threshold value for this main reference value. If the analysis shows that pressure loss occurs in two vehicle tires without pressure sensors, then a warning with regard to tire pressure loss is given when the main reference value exceeds the high threshold value. When pressure loss is detected by a pressure sensor at a wheel, the warning with regard to tire pressure loss is given when a defined threshold (e.g. pressure loss is higher than 25%) is exceeded. This pressure loss can also be tested by the above method in order to preclude a defect of a pressure sensor, for example.
A simplified linear model is used to detect the tire pressure variations of the system according to equation 8.
Number | Date | Country | Kind |
---|---|---|---|
10 2004 049 013.9 | Oct 2004 | DE | national |
10 2005 042 061.3 | Sep 2005 | DE | national |
Filing Document | Filing Date | Country | Kind | 371c Date |
---|---|---|---|---|
PCT/EP05/54999 | 10/5/2005 | WO | 00 | 10/5/2007 |