# Patent

## Title
Battery state-of-health monitoring system and method

## Abstract

A battery state-of-health monitoring and prognosis method includes training off-line parity-relation parameters between extracted battery voltage and current signals during off-line battery discharge events using at least one good off-line battery. Portions of terminal voltage and current signals of an on-board battery corresponding to an on-board engine cranking process are extracted, and battery voltage of the on-board battery are estimated based on the parity-relation parameters and the extracted portions of the on-board battery current signals. A diagnostic residual defining a deviation between the battery voltage estimation of the on-board battery and extracted portions of the on-board battery terminal voltage signals is generated. A measure of battery state-of-health based on the diagnostic residual is then provided.

## Background
TECHNICAL FIELD
This invention is related to vehicle battery monitoring systems.
BACKGROUND
The number of electrical devices in modern vehicles has been rapidly increasing. The vehicle electric power system is required to supply sufficient power to all such devices, including safety related systems and convenience and entertainment systems. An electric power management system balances the power demanded and the power provided to ensure the vehicle's start-up ability. An accurate and reliable knowledge of the battery state is therefore desirable for effective electric power management.
SUMMARY
A battery state-of-health monitoring and prognosis method includes training off-line parity-relation parameters between extracted battery voltage and current signals during off-line battery discharge events using at least one good off-line battery. Portions of terminal voltage and current signals of an on-board battery corresponding to an on-board engine cranking process are extracted, and battery voltage of the on-board battery are estimated based on the parity-relation parameters and the extracted portions of the on-board battery current signals. A diagnostic residual defining a deviation between the battery voltage estimation of the on-board battery and extracted portions of the on-board battery terminal voltage signals is generated. A measure of battery state-of-health based on the diagnostic residual is then provided.



BRIEF DESCRIPTION OF THE DRAWINGS
One or more embodiments will now be described, by way of example, with reference to the accompanying drawings, in which:
FIG. 1 is a schematic diagram of a parity-relation based battery SOH monitoring and prognosis method in accordance with the present disclosure;
FIG. 2 is a flowchart illustrating the procedure of parity-relation training in accordance with the present disclosure;
FIG. 3 is a flowchart illustrating the preprocessing procedure to extract the portion of battery signals corresponding to engine cranking in accordance with the present disclosure;
FIG. 4 is a graphical illustration of typical battery current and terminal voltage signals during engine cranking in accordance with the present disclosure;
FIG. 5 illustrates the data used to train the parity-relation. The data is shown via a plot of battery terminal voltage versus cranking current in accordance with the present disclosure;
FIG. 6 is a flowchart illustrating the on-board implementation of the SOH evaluation and prognosis method in accordance with the present disclosure;
FIG. 7 is a graphical illustration showing a trend of the diagnostic residual with respect to battery aging in accordance with the present disclosure; and
FIG. 8 illustrates advantages of the SOH monitoring system and method of the present invention by comparing a generated diagnostic residual of the instant invention and a residual generated by known resistance-based methods in accordance with the present disclosure.



DETAILED DESCRIPTION
The battery state-of-health (SOH) monitoring system and method in accordance with the present disclosure uses a parity-relation based diagnostic residual that combines SOH information corresponding to battery resistance and voltage loss during cranking to enhance battery diagnostic and prognostic performance.
The battery SOH monitoring system and method disclosed herein does not require a physical battery model or real-time identification of SOH-related battery model parameters and thus provides computational efficiency over known model-based battery SOH monitoring systems.
The battery SOH monitoring system and method uses parity-relation based battery diagnosis and prognosis to provide pre-warning of battery end-of-life, to help avoid unnecessary replacement of batteries, to reduce incidents of no-trouble-found and associated warranty costs, and to enhance electric power management in a vehicle environment.
The disclosure provides a parity-relation based data-driven approach to battery SOH monitoring and prognosis. A diagnostic residual is designed to implicitly combine a plurality of battery SOH information determined during engine cranking, including parameters such as battery voltage loss and internal resistance. Combined SOH information is used to improve the accuracy and robustness of the battery diagnosis and prognosis. The SOH information includes binary battery state-of-health (SOH) diagnosis (good or bad) and % level based prognosis during cranking. Cranking data collected using known good batteries are used to train a linear parity-relation between battery voltage and current.
FIG. 1 illustrates a schematic diagram of a battery SOH monitoring system 20 using a parity-relation based battery SOH monitoring and prognosis routine (24). The system 20 includes a plurality of modules that cooperate to process input signals received from a battery on-board a vehicle to determine the battery's SOH. As used herein the term “module” or “modules” is defined as one or more units capable of processing or evaluating signals input into or stored within the battery SOH monitoring system 20. Each module may be a stand-alone unit or a plurality of units comprising hardware or software or a combination thereof.
More particularly, in an embodiment in accordance with the disclosure, the battery SOH monitoring system 20 resides on-board a vehicle and includes a signal preprocessing module 26 adapted to receive a plurality of inputs from a plurality of sensors 30A, 30B that sense parameters of at least one battery 28. A battery voltage sensor 30A monitors battery 28 terminal voltage and provides a battery terminal voltage signal 32A to signal preprocessing module 26. Similarly, a battery current sensor 30B monitors battery 28 current and provides a battery current signal 32B to signal preprocessing module 26. Battery temperature signals 32C, and battery state-of-charge signals 32D are also input to battery SOH monitoring system 20 as further described herein below with respect to a residual evaluation module 40. Signal preprocessing module 26 is adapted to provide an extracted battery voltage signal (V) corresponding to the engine cranking process to residual generation module 38 and an extracted battery current signal (I) corresponding to the engine cranking process to a voltage estimation module 34. The voltage estimator module 34 uses a trained parity-relation adapted to receive calibrated parameters 37 from a memory device 36. The voltage estimator module 34 provides a voltage output ({circumflex over (V)}) to the residual generation module 38. The residual generation module 38 provides one or more residual value outputs to a residual evaluation module 40. The residual value outputs from the residual generation module 40 may be filtered using an associated low pass filter 104. The residual evaluation module 40 further receives a battery temperature signal 32C provided, for example, from a battery temperature sensor (not shown) or inferred from existing vehicle information such as engine coolant temperature. A battery state-of-charge signal 32D is also provided to the residual evaluation module 40 for example from correlated battery open circuit voltage and battery SOC data. The residual evaluation module 40 is adapted to obtain a battery SOH and provide a battery SOH indicator signal 42.
FIG. 2 is a flowchart of a routine (44) of off-line training the parity-relation for battery SOH monitoring on-board a vehicle. That is to say, off-line training occurs as part of vehicle development and calibration. Initially, one or more known good batteries capable of delivering a desired power to start a vehicle are selected (46). Next, a preprocessing process (54) is performed to collect battery terminal voltage and current signals during an engine cranking event and to then extract the battery terminal voltage and current signals corresponding to the interval of engine cranking. In this respect, an engine cranking event may include actual engine cranking events or simulated engine cranking events wherein battery discharge events closely mimicking electrical draws upon the battery. The signal preprocessing process (54) is described in more detail in FIG. 3.
The flowchart in FIG. 3 depicts the preprocessing process (54) used to extract a selected portion of battery signals 56, 58 (shown in FIG. 4) that correspond to engine cranking. With additional reference to FIG. 4, exemplary battery voltage and battery current signals, 56 and 58 respectively, extracted during engine cranking are illustrated.
With continuing reference to FIGS. 2-4, a portion of the battery terminal voltage and current signals corresponding to the period of engine cranking are extracted using the signal preprocessing process (54). More particularly, the extracted portions of the battery terminal voltage 32A and battery current signals 32B characterize battery signals generated during engine cranking occurring during a time interval defined by instant T1 and instant T2. A first set of data points 60, 62 corresponding to an initial voltage drop due to starter engagement at instant T1 is identified (64).
In an embodiment in accordance with the disclosure, a second set of data points 65, 68 corresponding to a first occurrence of a current I exceeding a predefined threshold after instant T1, at instant T2, is identified (70). In one embodiment in accordance with the disclosure, the predefined threshold is −100 A. In another embodiment in accordance with the disclosure, a battery voltage signal threshold can be used to define instant T2. In another embodiment in accordance with the disclosure, only a part of the voltage and current signals in [T1, T2] are considered. In an embodiment in accordance with the disclosure, the signals corresponding to −300 A<I<−100 A may be used. Generally, the voltage and current signals extracted are within a range sufficient to start a vehicle.
A graphical illustration 78 of extracted cranking data of two known good batteries is shown in FIG. 5, where the battery terminal voltage defines the y-axis 80 and is plotted versus battery current defining the x-axis 82. This cranking data illustrates a linear relationship between the battery terminal voltage and the battery current occurring during an engine cranking event. The cranking data of good batteries is used to train a linear parity-relation, wherein the trained linear parity-relation is depicted as line 84 in FIG. 5. More specifically, parameters V0 and Rb are determined (48) in FIG. 2 using a least squares method based on the following equation (1):

V= V0+I* Rb,(I<0 for discharge)  (1)

wherein V0 represents the intercept voltage and Rb represents the battery resistance. Equation 1 may be further re-written in the form of Equation (2):

θ=[ V0 Rb]T, x=[1I]T, and y=V=xTθ.  (2)

Standard parameter estimation methods (recursive or non-recursive) may be used to estimate the unknown parameter vector θ.

In an embodiment, an estimation of the unknown parameter vector θ. can be obtained using a linear least squares fit. Once V0 and Rb are determined (48) off-line using data collected from known good batteries as shown in FIG. 2, the V0 and Rb values are saved or stored (50) as calibration parameters within the memory device 36 associated with the voltage estimator module 34. Each of two parameters V0 and Rb can be saved as a calibration table of battery temperature and SOC.
An on-board implementation of the SOH monitoring and prognosis routine (86) is illustrated in the routine depicted in FIG. 6. First, to evaluate the SOH of any batteries, a decision is made if an engine cranking event has been requested (88). If no engine cranking event or request is made, then the routine ends. If an engine cranking request is made (90), then battery terminal voltage and current signals from a battery on-board a vehicle are inputted (91) into the signal preprocessing module 26 for preprocessing. The battery voltage and battery current signals corresponding to the short period of engine cranking are extracted (92) preferably with the preprocessing process (54) described in more detail in FIG. 3 herein above.
The trained parity-relation parameters V0 and Rb stored within memory device 36, and the current I extracted during signal preprocessing of the on-board vehicle battery 28 are input into the voltage estimator module 34.
A voltage estimate, {circumflex over (V)}, of on-board batteries is then determined (96) using the saved trained linear parity-relation parameters of V0 and Rb as described with reference to FIG. 2 herein above. Voltage estimate {circumflex over (V)}(t) at time t is determined as follows in Equation (3):

{circumflex over (V)}(t)= V0+I(t)* Rb  (3)

The voltage estimate, {circumflex over (V)}(t), and the actual voltage at time t, V(t), measured and extracted during signal preprocessing (92) of the on-board vehicle battery 28 are input into the residual generation module 38.
A diagnostic residual parameter r(t) defined as a deviation between the voltage estimate {circumflex over (V)}(t) and the actual voltage V(t) is then generated (100) by using Equation (4):

r(t)={circumflex over (V)}(t)−V(t),  (4)

wherein {circumflex over (V)}(t) is the voltage estimate, and V(t) is the actual battery terminal voltage of the on-board battery during engine cranking. Thus, the residual r(t) represents a deviation between the actual voltage measurement V(t) and the voltage estimate {circumflex over (V)}(t).

In an embodiment, to minimize the effect of noise, the on-board implementation of the SOH evaluation and prognosis routine (86) proceeds to filter a raw residual signal (102) by using a low-pass filter 104.
In an embodiment, an average of the diagnostic residual r(t) can be used for battery SOH monitoring for each cranking data set. Next, as shown in FIG. 6, both the battery temperature and open circuit voltage are obtained (108), from which a battery start-up SOC may be determined (110) by using a calibrated look-up table of battery temperature and battery open circuit voltage. Then, a threshold on the diagnostic residual, r, may be determined (112) from a look-up table of battery temperature and start-up SOC.
FIG. 7 is a graphical illustration depicting the trend of the diagnostic residual with respect to battery aging. Four batteries were aged from fresh to dead through accelerated cycling. The cranking data was periodically collected during the aging process. As shown in FIG. 7, all the residuals increase as a result of batteries aging.
Through some algebraic manipulations, it can be shown that the residual implicitly combines battery SOH information provided by multiple SOH indicators which may include, but are not limited to, battery voltage loss and internal resistance during engine cranking. Hence diagnostic accuracy and robustness may be improved. More specifically, the residual remains around zero for good batteries. As the battery ages, the residual is seen to significantly increases due to increasing battery voltage loss and internal resistance.
Finally, the battery SOH may be determined by comparing the generated residual value to a predefined threshold (114). The comparison determines if the filtered residual value exceeds the threshold of the diagnostic residual (115). If the filtered residual exceeds the threshold of the diagnostic residual (116), a warning message indicating a bad battery may be provided (118). Otherwise, if the filtered residual does not exceed the threshold of the diagnostic residual (120), a battery SOH index is generated (122) by using Equation (5):




  
    
      
        
          
            S
            ⁢
            
              
            
            ⁢
            O
            ⁢
            
              
            
            ⁢
            
              H
              INDEX
            
          
          =
          
            
              
                r
                -
                
                  r
                  _
                
              
              
                
                  r
                  fresh
                
                -
                
                  r
                  _
                
              
            
            *
            100
            ⁢
            %
          
        
        ,
      
    
    
      
        (
        5
        )
      
    
  




wherein r is the residual threshold, and rfresh is the nominal residual value for fresh and good batteries. When SOH<0, SOH is set to 0%, and when SOH>1, SOH is set to 100%. The battery SOH characterizes the battery remaining useful life (RUL).

Finally the battery SOH signal is output (124) from the battery SOH monitoring system 20 to notify a user of the battery's SOH.
FIG. 8 is a graphical illustration of one aspect of the present parity-relation based SOH monitoring system 20 routine (86). The solid curve 130 represents the diagnostic residual generated by using the present disclosure. The dotted curve 132 corresponds to the residual generated by using a known resistance-based method. The present disclosure demonstrates improved fault sensitivity and robustness over known methods.
The disclosure has described certain preferred embodiments and modifications thereto. Further modifications and alterations may occur to others upon reading and understanding the specification. Therefore, it is intended that the disclosure not be limited to the particular embodiment(s) disclosed as the best mode contemplated for carrying out this disclosure, but that the disclosure will include all embodiments falling within the scope of the appended claims.

## Claims

1. A battery state-of-health monitoring and prognosis method comprising:
training off-line parity-relation parameters using a linear regression model between extracted battery voltage and current signals during off-line battery discharge events corresponding to an engine cranking using at least one off-line battery capable of delivering a desired power to crank the engine;
extracting portions of terminal voltage and current signals of an on-board battery after an initial voltage drop during an on-board engine cranking event;
estimating battery voltage of the on-board battery based on the parity-relation parameters and the extracted portions of the on-board battery current signals extracted during the on-board engine cranking event;
generating a diagnostic residual defining a deviation between the battery voltage estimation of the on-board battery and extracted portions of the on-board battery terminal voltage signals extracted during the on-board engine cranking event; and
providing a measure of battery state-of-health based on said diagnostic residual, comprising:
generating a battery state-of-health index (SOHINDEX ) in accordance with the relationship






  
    
      S
      ⁢
      
        
      
      ⁢
      O
      ⁢
      
        
      
      ⁢
      
        H
        INDEX
      
    
    =
    
      
        
          r
          -
          
            r
            _
          
        
        
          
            r
            fresh
          
          -
          
            r
            _
          
        
      
      *
      100
      ⁢
      %
    
  
  ;




wherein r is said diagnostic residual, r is a predetermined diagnostic residual threshold, and rfresh is a predetermined nominal residual of a fresh battery.

2. The battery state-of-health monitoring and prognosis method of claim 1, wherein training off-line parity-relation parameters is effected using extracted off-line battery voltage and current signals extracted in a range sufficient to start a vehicle.

3. The method of claim 1 wherein said training further comprises extracting a portion of the off-line battery terminal voltage and current signals during an off-line battery discharge event from the at least one off-line battery within an interval subsequent to a predetermined initial off-line voltage signal drop and ending when said off-line current signal attains a predefined value.

4. The method of claim 1 wherein said extracting portions of on-board battery terminal voltage and current signals after an initial voltage drop during an on-board engine cranking event is effected during an on-board engine cranking event within an interval subsequent to an initial on-board voltage signal drop due to starter engagement and ending when said on-board current signal attains a predefined value.

5. The method of claim 1, wherein generating a diagnostic residual comprises low pass filtering.

6. The method of claim 1, wherein providing a measure of battery state-of-health based on said diagnostic residual further comprises:
comparing the diagnostic residual to said diagnostic residual threshold; and
when said diagnostic residual crosses said diagnostic residual threshold, indicating said on-board battery is beyond a remaining useful life.

7. The method of claim 2, wherein training a parity-relation parameters using the linear regression model defines engine cranking dynamics of said at least one off-line battery.

8. The method of claim 3, wherein the predefined value comprises a value sufficient to start said on-board engine.

9. The method of claim 4, wherein extracted portions of on-board battery current signals comprise current signals in a range of about −300 Amps to about −100Amps.

10. The method of claim 6, wherein said predetermined diagnostic residual threshold is based on an on-board battery temperature and an on-board battery start-up state-of-charge.

11. A battery state-of-health monitoring and prognosis method comprising:
training off-line parity-relation parameters between extracted battery voltage and current signals during off-line battery discharge events using at least one off-line battery capable of delivering a desired power to crank the engine;
extracting portions of terminal voltage and current signals of an on-board battery corresponding to an on-board engine cranking process;
estimating battery voltage of the on-board battery based on the parity-relation parameters and the extracted portions of the on-board battery current signals;
generating a diagnostic residual defining a deviation between the battery voltage estimation of the on-board battery and extracted portions of the on-board battery terminal voltage signals; and
providing a measure of battery state-of-health based on said diagnostic residual comprising:
indicating a remaining useful life of said on-board battery based on said diagnostic residual, a predetermined diagnostic residual threshold, and a predetermined nominal residual of a fresh battery, the indicating the remaining useful life of said on-board battery comprises:
generating a battery state-of-health index (SOHINDEX) in accordance with the relationship







  
    
      S
      ⁢
      
        
      
      ⁢
      O
      ⁢
      
        
      
      ⁢
      
        H
        INDEX
      
    
    =
    
      
        
          r
          -
          
            r
            _
          
        
        
          
            r
            fresh
          
          -
          
            r
            _
          
        
      
      *
      100
      ⁢
      %
    
  
  ;





wherein r is said diagnostic residual, r is said diagnostic residual threshold, and rfresh is said predetermined nominal residual of a fresh battery.

12. A battery state-of-health monitoring and prognosis method comprising:
training off-line parity-relation parameters between extracted battery voltage and current signals during off-line battery discharge events using at least one off-line battery capable of delivering a desired power to crank the engine;
extracting portions of terminal voltage and current signals of an on-board battery corresponding to an on-board engine cranking process;
estimating battery voltage of the on-board battery based on the parity-relation parameters and the extracted portions of the on-board battery current signals;
generating a diagnostic residual defining a deviation between the battery voltage estimation of the on-board battery and extracted portions of the on-board battery terminal voltage signals; and
providing a measure of battery state-of-health based on said diagnostic residual comprises:
providing a diagnostic residual threshold;
comparing the diagnostic residual to said diagnostic residual threshold;
prior to said diagnostic residual crossing said diagnostic residual threshold, indicating the remaining useful life of said on-board battery based on said diagnostic residual, a predetermined diagnostic residual threshold, and a predetermined nominal residual of a fresh battery; and
when said diagnostic residual crosses said diagnostic residual threshold, indicating said on-board battery is beyond a remaining useful life;


wherein indicating the remaining useful life of said on-board battery comprises:
generating a battery state-of-health index (SOHINDEX) in accordance with the relationship





  
    
      S
      ⁢
      
        
      
      ⁢
      O
      ⁢
      
        
      
      ⁢
      
        H
        INDEX
      
    
    =
    
      
        
          r
          -
          
            r
            _
          
        
        
          
            r
            fresh
          
          -
          
            r
            _
          
        
      
      *
      100
      ⁢
      %
    
  
  ;



wherein r is said diagnostic residual, r is said diagnostic residual threshold, and rfresh is said predetermined nominal residual of a fresh battery.