By Haskins H., Battaglia V., Christophersen J.
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Extra resources for Battery Technology Life Verification Test Manual
The linear regression of the estimated vs. 3-1, along with the estimated standard deviations in the life on test estimates. 3-1. Results for life test matrix example (estimated (±1 std dev) versus true life on test). 79 year. 1 years, respectively. This confirms the adequacy of the example core matrix design. Note that the FreedomCAR goal of 15 years life in service cannot be assured with 90% probability unless the true life in service for the candidate technology exceeds that goal by a significant amount.
The observed i i i (SOCMIN ) = ASI true ASI measurements are given by Yi = ASI meas ( MIN ) + ε meas ( MIN ) and i i i (SOCMAX ) = ASI true X i = ASI meas ( MAX ) + ε meas ( MAX ) . Two procedures for estimating the model parameters (β0 and β1) are given here. The first procedure, simple orthogonal regression, is recommended when there are no anomalous observations with unusually large deviations from the assumed linear relationship. In this case, the estimated model parameters are (SYY − S XX )2 + 4 ⋅ S XY2 S − S XX + βˆ1 = YY 2 ⋅ S XY and βˆ0 = Y − βˆ1 ⋅ X , ∑ (X n where S XX = i =1 −X) n X= ∑X i =1 n , SYY = (n − 1) ∑ (Y − Y ) n 2 i i =1 (n − 1) ∑ (X n 2 i , S XY = i =1 i − X )⋅ (Yi − Y ) (n − 1) , n i ,Y = ∑Y i =1 i , n and n is the number of cells.
31 4. DATA ANALYSIS AND REPORTING The objectives and methods for analysis and reporting of the overall program data and results are provided in this section. All analyses are directed at reaching a valid conclusion regarding the life capabilities of the candidate technology. 1 addresses the analysis and reporting requirements for the initial characterization test results. The principal objectives are to establish the baseline performance of the test cell population, assess the variability of the population, and assign cells from the population to the core and supplemental life test matrices.