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5.2.4 Propagat<strong>in</strong>g Assymetric Uncerta<strong>in</strong>ty Distribution<br />

Appendix F demonstrates the use of an asymmetric <strong>uncerta<strong>in</strong>ty</strong> distribution. Where the <strong>uncerta<strong>in</strong>ty</strong> values for<br />

emissions data were greater than 100%, the lower bound estimate was truncated at -100% <strong>and</strong> tracked<br />

separately from the upper bound estimate. The upper <strong>and</strong> lower bound uncerta<strong>in</strong>ties were then propagated<br />

through to the total CO 2 equivalent emissions for the facility. For this example, the result<strong>in</strong>g difference<br />

between the upper <strong>and</strong> lower <strong>uncerta<strong>in</strong>ty</strong> values was very small.<br />

5.3 Example 2: Ref<strong>in</strong>ery<br />

5.3.1 Background<br />

Example 1 provides a very detailed, step-by-step demonstration of the <strong>uncerta<strong>in</strong>ty</strong> calculations for a crude <strong>oil</strong><br />

production facility. Because many of the source types are similar across all <strong>in</strong>dustry sectors, this example<br />

focuses on a few dist<strong>in</strong>ct ref<strong>in</strong>ery process units. A comparison <strong>in</strong> the <strong>uncerta<strong>in</strong>ty</strong> calculations is provided for<br />

methodologies presented <strong>in</strong> the API Compendium for fluid catalytic crack<strong>in</strong>g unit (FCCU) <strong>and</strong> hydrogen plant<br />

emissions. As with the previous example, much of the <strong>in</strong>formation is repr<strong>in</strong>ted directly from the API<br />

Compendium without change.<br />

5.3.2 Uncerta<strong>in</strong>ty Comparison for FCCU Emission Estimation Methods<br />

The follow<strong>in</strong>g example applies <strong>uncerta<strong>in</strong>ty</strong> calculations to Exhibit 5.6 from the API Compendium for the<br />

FCCU GHG emission estimation methods presented <strong>in</strong> the API Compendium. The same operat<strong>in</strong>g<br />

parameters specified <strong>in</strong> the API Compendium are applied here, with the follow<strong>in</strong>g assignment of uncerta<strong>in</strong>ties<br />

added.<br />

• The catalytic crack<strong>in</strong>g unit has a coke burn rate of 119,750 tonnes per year ± 15% <strong>and</strong> a blower air<br />

capacity of 2,150 m 3 /m<strong>in</strong> ± 15% (assigned by expert judgment). The air blower is assumed to<br />

operate cont<strong>in</strong>uously for the year (a ± 2% <strong>uncerta<strong>in</strong>ty</strong> is applied to this assumption).<br />

• The carbon fraction of the coke is 0.93 ± 5.5% based on site-specific data (determ<strong>in</strong>ed from<br />

measured compositions).<br />

• The flue <strong>gas</strong> concentrations are 11% for CO 2 <strong>and</strong> 9% for CO exit<strong>in</strong>g the regenerator. Table D-3 of<br />

this <strong>uncerta<strong>in</strong>ty</strong> document provides reproducibility values for the precision of Reformed Gas<br />

Samples based on ASTM 1946-90. For molar compositions between 5 <strong>and</strong> 25 percent, a<br />

reproducibility factor of 0.5 applies. An additional 5% <strong>uncerta<strong>in</strong>ty</strong> is assigned by expert judgment<br />

to account for potential variability <strong>in</strong> the composition.<br />

• It is assumed that no CH 4 is formed dur<strong>in</strong>g the regeneration process.<br />

• A CO b<strong>oil</strong>er is used for control of the flue <strong>gas</strong> stream. Supplemental fir<strong>in</strong>g with <strong>natural</strong> <strong>gas</strong> is<br />

employed at a rate of 100×10 6 ± 5% Btu/hr on a higher heat<strong>in</strong>g value basis.<br />

The API Compendium presents three equations for estimat<strong>in</strong>g CO 2 emissions from FCCUs. The follow<strong>in</strong>g<br />

demonstrates the <strong>uncerta<strong>in</strong>ty</strong> quantification for each of the three methods.<br />

Pilot Version, September 2009 5-10

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