Application of multivariate statistical process control to fuel cell manufacturing

Univariate statistical control charts, such as the Shewhart chart, do not satisfy the requirements for process monitoring on a high volume automated fuel cell manufacturing line. This is because of the number of variables that require monitoring. The risk of elevated false alarms, due to the nature of the process being high volume, can present problems if univariate methods are used. Multivariate statistical methods are discussed as an alternative for process monitoring and control. The research presented is conducted on a manufacturing line which evaluates the performance of a fuel cell. It has three stages of production assembly that contribute to the final end product performance. The product performance is assessed by power and energy measurements, taken at various time points throughout the discharge testing of the fuel cell. The literature review performed on these multivariate techniques are evaluated using individual and batch observations. Modern techniques using multivariate control charts on Hotellings T2 are compared to other multivariate methods, such as Principal Components Analysis (PCA). The latter, PCA, was identified as the most suitable method. Control charts such as, scores, T2 and DModX charts, are constructed from the PCA model. Diagnostic procedures, using Contribution plots, for out of control points that are detected using these control charts, are also discussed. These plots enable the investigator to perform root cause analysis. Multivariate batch techniques are compared to individual observations typically seen on continuous processes. Recommendations, for the introduction of multivariate techniques that would be appropriate for most high volume processes, are also covered.

Age, growth and reproductive biology of whiting Merlangius merlangus (Linnaeus 1758) in the Celtic Sea

Age, growth and reproductive biology were investigated for whiting (Merlangius merlangus) captured from the Celtic Sea (ICES division Vllg), for the period January 2001 to January 2002. Females dominated the sex ratio of 1: 2.25. The relative abundance of females exceeded the number of males in all length classes. The relationship between weight (g) and total length (cm) was the same for male and female whiting. A total of 973 fish were aged and the maximum age recorded was 11 years. Results from an intercalibration exercise showed 87% agreement in age readings between the author and an expert in ageing whiting at the Marine Institute. Females were dominated by 2 year olds, while males were dominated by 3 year olds. Lx was estimated as 38cm and a growth rate was calculated K = 0.3769 year'1. Females were fully recruited to the fishery at 3 years of age, while the age at full recruitment (tr) for males was 4 years. Female whiting spawned from late February to June 2001 and matured at a total length of 23 cm in their first year. Female whiting reached L5o at a total length of 28 cm and 2.7 years of age. Male whiting spawned from February to June 2001. They matured at a total length of 21 cm and in their first year. Male whiting reached L50 at a total length of 30.4 cm and 3.6 years of age. The following critical points should be taken into account in the management of the Celtic Sea whiting stock: An Fpa should be established in order to assess the current level of fishing mortality; The maturity ogives need further study; The extent of gutting of large fish before landing by fishers in the fleet should be investigated and the apparent decline in size of 4 - 7 year old fish in the Celtic Sea between 1996 and 2001 needs to be assessed.