1. Field of the Invention
THIS INVENTION concerns a method of and apparatus for detecting and evaluating the electro-chemical characteristics of an object under test, and is particularly though not exclusively, concerned with the measurement of the electrical service capacity of in-circuit sealed electro-chemical cells and monoblocs.
1. Description of Related Art
The invention is especially concerned with the testing of battery systems of the type used to provide uninterruptible back-up power supplies in large installations such as computers, life support machines and radar controlled safety systems for air transport. Such back-up batteries are required so that if the mains supply should fail, they must provide electrical supply to their critical loads instantaneously or at least in no more than a millisecond or two.
Such batteries may be composed of several hundred cells with a design life of up to 12 years and costing perhaps several hundreds of thousands of pounds.
In-situ testing of such batteries is an essential requirement since such cells are connected in series or series-parallel, and if only one cell of a standard battery becomes faulty the entire back-up supply may be lost.
The failure of such battery systems is quite common causing considerable damage to the critical loads which they supply.
Managerial personnel of large computer centres, air traffic control systems, etc. which depend upon such back-up power supplies generally will not allow their critical loads to be used to test the system and so, conventionally, all such tests carried out on standby battery supplies involve the temporary shutting down of dependent systems in order to avoid consequent damage should the mains supply fail during the test. Upon shut-down the entire back-up battery is disconnected from the installation and connected to a large DC load bank and then submitted to a standard discharge test lasting up to three hours. Such tests are normally carried cut once or twice per annum and this typically can necessitate the critical load being off-line for up to three days. In addition, conventional testing typically consumes many hundreds of kilowatts of power, the energy being, “burnt off” as heat which results in considerably waste of time and energy resource.
A principal object of the present invention is to provide a portable instrument capable of testing individual cells or monoblocs in-situ, i.e. without disconnection of the back-up supply and without endangering the dependent system should the mains supply fail during the test.
The system should enable discharge testing of a single cell in a battery of multiple cells, while the cell is still in circuit and with no disruption to the on-line system. Preferably, after testing an entire battery and finding it to be, as a whole, in good condition a tertiary element of the system will enable sample discharge tests to be conducted on a small number of cells so that the whole battery condition can be extrapolated, obviating the necessity for an annual discharge test and showing notable savings to the end user in terms of down time, manpower and energy expenditure. The ability of an instrument to identify deterioration in a single cell, in batteries of many hundreds of cells, will enable an engineer to target and replace only weak or failing cells thus greatly extending the working life of the entire battery, saving not only on costs and manpower but also energy consumption.
According to the present invention there is provided a method of deriving data concerning the electro-chemical characteristics of an object under test, comprising the steps of providing a portable instrument capable of temporarily applying across the object a controlled frequency electrical signal derived from an internal battery of the instrument, detecting returned data resultant from said application and utilising the returned data and a tailored mathematical algorithm in dedicated computer software to derive the data required.
Particularly though not exclusively the method is used to measure the service capacity of individual cells of multi-cell valve regulated lead-acid batteries while in service, and to store the resultant data for subsequent analysis.
Still further, the invention concerns an instrument adapted to carry out the aforesaid method.
An embodiment of the invention will now be described, by way of example only, with reference to the accompanying drawings, in which:
and
In order to appreciate the innovative content of an instrument designed in accordance with the present invention it is necessary to consider two conventional methods used for service capacity measurement of sealed lead acid cells and monoblocs. These consist essentially of measuring the AC impedance (or AC conductance) and the DC resistance of electro-chemical cells. These parameters are known to change with age and state of charge, rising gradually over the life of the cell, or sharply as the cell reaches the end of a discharge.
The equivalent internal resistance circuit of a cell is illustrated with reference to
Simple AC impedance is easier to measure accurately in-situ than DC resistance. It is known that cell AC impedance changes with loss of charge and capacity, and there are instruments presently available which use AC impedance to detect and predict the condition of cells in service.
In addition, the cell capacitance is surprisingly large, more than 1.5 Farads per 1 Ah in some cases, and this changes in far greater proportion than the cell resistance component with the charge/discharge cycles experienced during the lifetime of the cell.
Warburg impedance (mass transport impedance) is present during lower frequency measurement.
If these components are not identified and accounted for which is not possible using simple impedance measurement, then the veracity of the measurements can be obscured.
Very few battery manufacturers provide impedance values for their generic cell types so that capacity or remaining service life cannot easily be calculated against a known datum but is only valid when compared against several cells from the same battery, a cell being considered suspect when it differs from normal by plus or minus 25 to 30%.
In sensitive installations it may not be desirable to connect an AC signal across the DC terminals of a battery since this may influence the inverter or load system and in fact many system engineers will not allow this type of testing to be carried out without disconnection of the load. Furthermore, mains power is required for an AC testing instrument, making it unsuitable where mains access is difficult.
Considering now the alternative of using DC resistance to test the cells of a battery this would appear to be the method providing the best single piece of information about the cell since it is held mainly to change with loss of active surface area on the positive plate and hence the ability of the cell to deliver its rated capacity. Additionally, many battery manufacturers do provide resistance values for their generic cell types. It is not possible to apply the manufacturers method of measuring cell internal resistance since the cell under test is in circuit but an alternative method as illustrated in
The accuracy of the DC resistance measurement method is dependent upon a number of factors other than the internal resistance, such as terminal float voltage.
DC resistance itself however can give an indication of either the state of charge of the cell or its general condition but it cannot differentiate between these conditions unless readings are taken over long periods of time when trends can be averaged out. However the system does have the advantage that it can run from an internal battery making it more flexible than the impedance instrument.
Problems encountered with this method of measuring using simple DC resistance are for example that all capacitors have a leakage resistance, and the electro chemical cell is no exception. With reference to
Again with the DC resistance method if the cell is stressed during the test by having 50 to 100 amps drawn from it there is a net current loss and a chemical change in the cell. This has the effect of raising the float voltage across the remaining cells of the battery and as the test progresses there is a noticeable rise in individual cell terminal voltage, thus invalidating the voltage reading in the later-tested cells.
Furthermore, the method takes no account of capacitance which changes more radically than DC resistance for a given chemical difference, and can be an important indicator of both condition and state of charge.
In conclusion, the conventional methods are both somewhat unsatisfactory. AC impedance is the preferred method of acquiring, cell data since it can potentially provide far more information than simple DC resistance, allowing true analysis of the various factors involved, and since there is no net current flow, the cell under test and the remaining cells in the battery are not effected by resultant chemical changes. Such an instrument would be considerably improved if it did not inject its source signal across the entire battery. Simple impedance, however, is not capable of providing sufficient information to make accurate judgments about the condition of the cell under test.
Therefore, in accordance with one embodiment of the invention an instrument is provided which is designed to be portable, i.e. of sufficiently low mass to be carried while testing, over extended periods and without strain to the operator. Such an instrument is illustrated in
An active load which can be integrated with the instrument will enable sample cells to be discharge tested to extract parameters which will determine absolutely the ability of the cell to support the critical load when called upon to do so. The data may be subsequently down loaded onto a floppy disc for further evaluation and archiving.
The instrument, in generating pseudo random noise or multi-frequency waveform employs a technique not previously used in this field and which will enable precise measurement of the cell's electro-chemical constituents and enable analysis to determine the extent of plate corrosion and electrolyte exhaustion. The test signal when combined with an ultra-fast analogue measurement system and an original algorithm utilising inferential mathematical measurement techniques and others, will, together, derive individual resistive and capacitive components from the precisely measured feedback.
The operator may not always be able to interpret the raw measured data in such a way as to determine cell status and life criteria. Therefore, in order to provide an authoritative indication of the cell's condition and probable service life a second mathematical model based on complex impedance values and others such as DC current and temperature will be provided so that in addition to the ability to view data and graphical representations of the cell's characteristics there will be provided a simple graphical interpretation of actual capacity.
The test signal applied to the electro-chemical process may be any oscillatory current or voltage controlled injected signal, for example, sinusoidal, square wave, sawtooth, step and ramp. The derived signal will be measured for both current and voltage simultaneously.
When the test signal employed is of an oscillatory nature, an electrical circuit known as a flying bridge enables the battery internal to the instrument to be utilised in such a manner as to have zero nett energy transfer (excluding losses) between the cell under test and the instrument's internal battery.
Referring now to
The system provides a facility for the battery to be “micro-recharged” from the cell under test, after the test series without extending the test longer than 8 seconds. In addition the same system will have the ability to recharge completely the internal battery 11 over an extended period.
Use is made a new and original inferential measurement technique (mathematical algorithm) to resolve the returned measured complex impedance data into its equivalent circuit electrical constituents, from a signal applied to the external terminals of the cell. An example of a mathematical algorithm for this purpose is given as follows.
It has been shown that the dynamics of a cell can be represented by the Randles equivalent circuit. The transfer function of which is:
The problem to be solved is the explicit identification of these equivalent circuit parameters. To achieve this, the Laplace transfer function has to be converted in a form suitable for identification.
ν(t)+ν(t)RtCdls=(Rt+RΩ)i(t)+RtRΩCdlsi(t) (2)
Rearranging:
ν(t)=−ν(t)RtCdls+(Rt+RΩ)i(t)+RtRΩCdlsi(t) (3)
Identification requires measurements of input/output data to be made. This introduces sampling in to the system and the model has to be converted into a discrete form to incorporate the sampling effect. The delta operator has been adopted in this work rather than the shift operator, because it has superior numerical properties and the coefficients in a delta model tend to show a closer resemblance to the coefficients in the continuous model (allowing easier interpretation of results) compared to the use of the a model based on the shift operator.
Thus we define the delta (difference) operator
where ▴ is defined as the sample time between measurements.
Replacing the Laplace operator (s) with the delta operator δ(t) in equation (3)
ν(t)=−δν(t)RtCdl+(Rt+RΩ)i(t)+RtRΩCdlδi(t) (5)
Define:
K=Rt+RΩ
τ1=RtRΩCdl
and
τ2=CdlRt
resulting in a model which can be identified from input/output data.
ν(t)=−δν(t)τ2+Ki(t)+τ1δi(t) (6)
Statistical estimation techniques can then be used to estimate the parameter values (τ1, τ2, K) of the model from input/output data, generated by applying a current test signal to the cell and logging the resulting voltage output data.
Using standard notation, define:
ν(t)=xτ(t)θ+e(t) (7)
where θ is the vector of unknown parameters defined by:
τ=[τ1Kτ2] (8)
and e(t) is the regression vector consisting as measured input/output data defined by:
xτ(t)=[δν(t)i(t)δi(t)] 9)
and e(t) is an unobservable white noise disturbance.
We wish to determine from available data, the vector θ of the true system parameters. It is assumed that sufficient operating data has been collected from the system allowing eqn (7) to be recast in matrix form as:
where N is the number of observations and the modelling error is a combination of the white noise disturbance and the difference between the actual and estimate parameter values:
i.e. ê(t)=e(t)+xτ(t)(θ−{circumflex over (θ)}) (11)
The aim is to estimate the parameter vector θ using Least Squares. Rewriting eqn (10) in stacked notation:
V=X{circumflex over (θ)}+Ê
where
it can be shown that by minimising the sum of squares of the modelling errors, the least squares estimator for the unknown parameter vector is:
{circumflex over (θ)}=[XτX]−1[XτV] (13)
Relevant implementations issues such as bias on estimates resulting from non-white measurement noise and computational efficiency resulting from recursive implementations of eqn (13) will be highlighted where necessary in the next progress report which will focus on the application of the identifier to practical data obtained from an actual battery.
From equation (13), values for the parameters (τ1,τ2, K) are obtained. Using a process of back substitution, values for the equivalent circuit components are obtained from (τ1,τ2,K).
i.e.
R1=K−RΩ and
The derived signal to be measured will be measured for both current and voltage simultaneously. An electrical circuit to enable the system to remove any DC voltage level from the measurement, in order to ensure greater AC voltage accuracy is illustrated in
Referring now to
A major problem in the testing of on-line cells and monoblocs is what the user does when the test instrument indicates that cells are not healthy. They may be on the borderline, and the engineer will want to know is they can hold up sufficiently to wait for change-out until the next maintenance period. Therefore, referring to
Several important issues make up the inventive concept upon which this method and instrument are based. These may be expressed as follows:
Whilst the method in accordance with the invention, and the instrument designed to carry it out, have evolved from the need accurately to test sealed lead acid battery cells in-situ and in circuit, nevertheless the method and an instrument appropriately designed to carry it out may also apply to many other endeavors such as the detection of deterioration (corrosion) of metallic water pipes and the like, metal in concrete, metal in solution, and metal protective coatings. Conceivably, also, the method may be applied to the measurement of electro-chemical deterioration of any object across which it is possible to apply an electrical current, the method employing the measurement of complex AC impedance by injecting an appropriate signal.
This is a continuation of U.S. application Ser. No. 10/252,035, entitled “Electro Chemical Deterioration Test Method and Apparatus,” and filed Sep. 20, 2002, in the name of Nigel D. Scott, now U.S. Pat. No. 6,747,456; which was a continuation of U.S. application Ser. No. 09/509,882, entitled “Electro Chemical Deterioration Test Method and Apparatus,” and filed Mar. 31, 2000, in the name of Nigel D Scott, now abandoned.
Number | Name | Date | Kind |
---|---|---|---|
6002238 | Champlin | Dec 1999 | A |
6118275 | Yoon et al. | Sep 2000 | A |
6167349 | Alvarez | Dec 2000 | A |
6747456 | Scott | Jun 2004 | B2 |
Number | Date | Country | |
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20040212368 A1 | Oct 2004 | US |
Number | Date | Country | |
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Parent | 10252035 | Sep 2002 | US |
Child | 10843528 | US | |
Parent | 09509882 | Mar 2000 | US |
Child | 10252035 | US |