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Life-cycle costing: Analysis of biofuel production systems  237


                 OR¼operating rate (US$/t)
                 PC¼annual biodiesel production capacity (t/y)
                 r ¼interest rate
                                                 n  MR CC
                                              P
                 MC¼maintenance cost (US$) ¼
                                                 i¼l  ð l + rÞ i
                 MR¼maintenance ratio (%), the ratio of maintenance
                 cost to capital cost
                                           P n  FP FU
                 FC¼feedstock cost (US$) ¼
                                                l + rÞ
                                             i¼l ð  i
                 FP¼feedstock price (US$/ton)
                 FU¼feedstock utilization¼PC/CE
                 CE¼biodiesel conversion efficiency (%)
                                                   n-1
                 SV¼salvage value (US$) ¼ RC  l-dÞ
                                               ð
                 RC¼replacement cost
                 d ¼depreciation rate
                                              P n  GP GM
                 BP¼by-product credit (US$) ¼          i
                                                i¼l ð l + rÞ
                 GP¼glycerol price (US$/kg)
                 GM¼PC GCF
                 GCF¼glycerol conversion factor
                 Each of the costs is accounted for in the conventional manner. Capital
              cost includes process equipment, infrastructure, and land while operation
              cost includes labor, utilities, and waste treatment. Maintenance cost is
              assumed to be 2% of the total capital cost over the course of the entire pro-
              ject. Feedstock cost includes all raw materials including oil, methanol, and
              catalysts. The salvage value is the remaining value of capital cost at the end of
              the project, assuming a depreciation of 10%. Finally, a credit is given to sub-
              tract the cost of the glycerin by-product.



              2.2 System description
              In the following example, we assess the cost of three feedstocks that are being
              considered as potential feedstocks for biodiesel production in Vietnam.
              These are jatropha oil, waste cooking oil, and fish oil. The jatropha oil is
              oil obtained from the seeds of Jatropha curcas. The fish oil is residual oil recov-
              ered from fish processing plants while the waste cooking oil is obtained from
              restaurants, hotels, and households. The system boundary for jatropha oil is
              shown in Fig. 8.3 while the system boundary for the waste cooking oil and
              the fish oil is shown in Fig. 8.4. It can be seen that the system for the jatropha
              oil includes cultivation and extraction of the oil. On the other hand, the sys-
              tems for the waste cooking oil and the fish oil only include gathering of
              the oil.
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