Electrical parameters measured with time-varying signals are referred to as dynamic parameters. The present invention relates to measuring dynamic parameters of electrochemical cells and batteries through Kelvin (4-wire) connecting cables. More specifically, it relates to suppressing high-frequency (hf) waves oscillating back and forth on a Kelvin cable's current-carrying and/or voltage-sensing conductors.
Measuring automotive and standby cell/battery parameters with time-varying signals (i.e., measuring dynamic parameters) are now commonly accepted maintenance and diagnostic procedures. (See, e.g., U.S. Pat. Nos. 5,140,269, 6,262,563, 6,534,993, and 6,623,314). Because of the very small impedances of such cells/batteries, Kelvin (4-point) connections are routinely employed to reduce the influence of the contact and lead-wire resistances. Kelvin connections couple to each cell/battery terminal at two separate contact points—one for current and one for voltage. Apparatus for measuring a two-terminal cell/battery by means of Kelvin connections therefore requires a four-wire interconnecting cable.
When using Kelvin cables with time-varying signals, distributed mutual-inductance between current-carrying and voltage-sensing conductors has been a problem. As disclosed in U.S. Pat. Nos. 7,106,070 and 7,425,833, mutual-inductance can be reduced by inserting a special cable section in tandem with the original Kelvin cable. This special section transposes conductors thereby introducing a negative mutual-inductance section to cancel the positive mutual-inductance of the original Kelvin cable.
However, even after canceling a cable's mutual-inductance, a significant problem remains. The current-carrying conductors and the voltage-sensing conductors comprise two twisted-pair distributed-parameter transmission lines—not unlike those found in Category-5 Ethernet cables. These lines may extend over several meters in length. As with all distributed-parameter transmission lines, internal wave reflections can occur unless the lines are terminated in their characteristic impedances—a situation which virtually never occurs in practice. Such hf waves, oscillating back and forth, can interact with measuring circuitry to seriously degrade the accuracy of low-frequency dynamic measurements performed with circuitry connected through the Kelvin cables. Ironically, the very technique for reducing mutual-inductance described above introduces discontinuities that can actually contribute to such oscillations. Solving this previously-unrecognized wave-oscillation problem is the purpose of the present invention.
Consider
The A-B current-carrying conductors 360 of the battery-connecting cable are shown in
The current-excitation circuitry 160 disclosed in
Note that current i(t) can only pass through n-channel MOSFET 310 from drain to source. Accordingly, MOSFET 310 cuts off, and no current flows through cell/battery 20, when v(t)<0. Cell/battery current can only flow when v(t)>0; and it can then only flow in the discharging direction.
Similar feedback current-excitation circuitry, disclosed in U.S. Pat. Nos. 6,466,026 and 6,621,272, includes a p-channel MOSFET and a dc power supply. With that circuitry, v(t)<0 causes the p-channel MOSFET to conduct—resulting in current flowing from the dc power supply into cell/battery 10 in the charging direction. Thus, cell/battery current can flow in either direction with the advanced circuitry disclosed in U.S. Pat. Nos. 6,466,026 and 6,621,272. In other respects, that circuitry functions just like the circuitry of
I have discovered that hf reflected waves on Kelvin cables can oscillate back and forth, thus causing seriously degraded low-frequency measurement accuracy. At high-frequency, the current-carrying conductors and the voltage-sensing conductors of Kelvin cables comprise two distributed-parameter twisted-pair transmission lines—not unlike those found in Category-5 Ethernet cables—which may extend several meters in length. As with all distributed-parameter transmission lines, internal wave reflections can occur unless the lines are terminated in their characteristic impedances—a situation which virtually never occurs in practice. Such oscillating reflected waves can interact with measuring circuitry to seriously degrade the accuracy of low-frequency dynamic measurements performed with circuitry connected through Kelvin cables.
Apparatus for suppressing hf oscillations on Kelvin cables is disclosed herein. It comprises magnetic material surrounding the cable, and/or circuitry inserted at the input end and/or the output end of the cable's current-carrying and/or voltage-sensing conductors.
Consider twisted pairs 140 and 150 of the 4-wire Kelvin cable section 30 depicted in
The impedance of cell/battery 20 is typically only a few milliohms—a value much less than the A-B line's characteristic impedance Z0≅100Ω. Accordingly, the cell/battery will be modeled herein as a short-circuit terminating the A-B transmission line.
Consider
Zin=Z0 tan h(γl) (1)
where
γ=α+jβ (2)
with
α=2Rac/Z0 (3)
and
β=2πf/vp. (4)
Qλ/4=πfλ/4/αvp=99 (5)
which classifies this as a “high-Q” resonance.
Accordingly, the A-B line's input impedance at frequency fλ/4 is very large compared with the excitation circuit's hf output impedance (R300≅0.02Ω; RDS(on)≅0.005Ω). This ensures that any switching transients of MOSFET 310 that possess frequency components near fλ/4 will excite large hf voltage wavefronts on the A-B transmission line. Furthermore, the line's high Q, along with its unmatched terminations, ensures that such wavefronts, once excited, will undergo multiple reflections. These large oscillating wavefronts, if they arrive back at circuitry 160 in the proper phase, can cause MOSFET 310 to switch states—thus reinforcing this spurious excitation process.
The C-D transmission line presents a different problem and must be treated differently. Unlike current excitation circuitry 160, voltage sensing circuitry 170 cannot excite hf wavefronts on the line. Such wavefronts can, however, be excited by transient switching currents passing through cell/battery 20 during measurement. This mechanism can be particularly troublesome when measuring UPS and telecom cells/batteries while they are in service.
This 3-point experiment was performed before, and after, connecting the 10 μF bypass capacitor 420 across the A and B terminals at the A-B transmission line input 400. The subject battery was a 25 Ah 6-cell Hawker Cyclon battery—chosen because of its exposed cell-terminals and interconnecting straps. The six cells of the open-circuited battery were measured as six pairs, each pair comprising two adjacent cells. Three complex impedance measurements were performed on each adjacent cell-pair at frequencies of 2.58, 22.22, 44.44, and 90.91 Hz.
One sees from
This completes the disclosure of my invention. The invention comprises a magnetic material surrounding the cable, and/or circuitry inserted at the input end and/or the output end of the cable's current-carrying and/or voltage-sensing conductors. A particular embodiment of the invention simply comprises a large bypass capacitor connected directly across the current-carrying conductors at the interface between the measuring circuitry's output and the Kelvin cable's input. Other embodiments include magnetic cores placed on the current-carrying and/or the voltage-sensing conductors and/or characteristic-impedance resistances terminating the voltage-sensing conductors. These embodiments represent simple, yet effective solutions to an important, but previously unrecognized problem.
Although suppression circuitry has been disclosed inserted at the line's input, its output, or both, it could also be inserted internally to the line, at say, the terminus of a mutual-inductance cancellation section. These, and other variations, will be apparent to those skilled in the art and are intended to be covered by the appended claims.
The present application is based on and claims the benefit of U.S. provisional patent application Ser. No. 61/665,456, filed Jun. 28, 2012,the content of which is hereby incorporated by reference in its entirety.
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