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Product Certification Using Tank Quality Integration (TQI). Nigel Fleming, Esso Petroleum and Jonathan Love, Newcastle University APACT 03, April 2003. Contents. Definitions What is TQI? What is Give-away? The Problem Systematic Give-away. The Solution TQI Certification.
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Product Certification Using Tank Quality Integration (TQI) Nigel Fleming, Esso Petroleum and Jonathan Love, Newcastle University APACT 03, April 2003
Contents • Definitions • What is TQI? • What is Give-away? • The Problem • Systematic Give-away. • The Solution • TQI Certification. • Justification for Change • Statistical Precision comparison between TQI and existing method.
Every 6 minutes q q v Online analyser Product • Applied recursively: What is TQI? • TQI calculates product tank qualities as the tanks fill, e.g. density, sulphur, cetane, octane ....
What is Give-away? • A laboratory test method is used to certify the tank quality. (ISO test methods.) • Give-away is the difference between the quality you release product at to the customer and the legitimate manufacturing limit. • It reduces profit because it debits yield and/or adds to the cost of manufacture. • The purpose of this talk is to explain a way of using TQI to reduce give-away.
Systematic Give-away • Realized that there was a limit to how small give-away could be reduced. • Right First Time (RFT). Due to the rate of product demanded and the no. of tanks per product grade a target of RFT 95% is set. • Even if the TQI result is an unbiased estimate of the quality it is still subject to random errors. • Error distribution characterized by a variance 2TQI. • The Laboratory methods used to test and certify the product quality are subject to random errors. • Error distribution characterized by a variance 2ISO. • Since TQI is used to manufacture and the Lab. to certify, the delta is important. • QD = QT - QL • Since the TQI and Lab. results are independent their variances add. • 2 = 2TQI + 2ISO
ISO Giveaway ISO ISO 5% Max. 52 51 50 49 48 Lab Cetane 52 51 50 49 48 Lab Cetane
Systematic Give-away • To ensure RFT 95%, • Give-away = 1.645 • This acts as a manufacturing margin which adds a significant additional cost. • TQI quality target = min. specification + 1.645
TQI Certification • Alternatively, why not certify TQI for release and remove the manufacturing margin? • The risk of litigation if a customer questions a fuel quality. • TQI is a complex system relative to, taking a sample in a pint bottle to the lab. • Two enabling conditions were set, as follows. • Is a TQI result an accurate estimate of the true quality; i.e. an unbiased estimate of the mean? • Does a TQI result have a smaller error than a single result using the reference ISO lab. method, i.e. TQI < ISO?
ISO Test Method Precision? • Test methods quote Repeatability and Reproducibility values. • Repeatability applies to a sample multi-tested in the same lab. (2r) • Reproducibility applies to a sample multi-tested in different labs. (2R) • 2R > 2r • For the method, 2ISO = 2r + 2R
What is TQI Precision? • The online analyser accuracy and precision provide the basis for assessing the accuracy and precision of TQI results. • Analyser accuracy is set using a validation sample which has been multi-tested in different laboratories. • Analyser precision is defined by how much error is introduced by the online analyser. • The error in the validation sample and the analyser itself are independent of each other. • 2TQI = 2val +
2r / M + 2R Variance (q) = = 2val N Validation Sample Precision (2val)? • Multi-testing M times in N different labs. using the ISO method generates a sample with a mean qualityq. • E(q) = q the true value of the validation sample • The validation sample mean is a true estimate of the quality and its precision improves with multi-testing.
Analyser Precision? • Another way to look at TQI is as a time series.
Analyser Precision? • Each analyser reading is made up of a deterministic and a stochastic part. Where at is the true quality t is a random measurement error • Given that variance(t) = 2anl, it can be shown: • n is typically between 100 - 200, which significantly reduces the effect of analyser error on the TQI result.
TQI Precision Defined • Then TQI Precision can be determined from equation (1). • For example, for sulphur2TQI = 5.4, 2ISO = 10.5 • TQI < Ref