3.8. 溶融塩炉の経済性(計算過程）

＝＝＝＝＝＝＝＝＝　以下は計算過程なので、関心のある方だけご覧下さい。＝＝＝＝＝＝＝

Table 1. Economic parameters (M\$)

 MSR PWR Direct costs Land and land rights 5 5 Struct. & Improvements 301 269 Reactor plant equip 437 337 Turbine plant equip. 243 274 Electric plant equip 131 107 Misc. plant equip 41 32 Main cond. heat reject. 34 53 Total direct costs 1,191 1,077 Indirect costs Construction services 182 170 Home-office eng. Serv. 129 129 Field-office eng & serv. 82 73 Total indirect costs 393 371 Total capital cost, M\$ 1584 1448

Table 2. Power Generation Cost (cent/kWh)

 MSR PWR Capital cost 2.01 2.07 O&M cost 0.58 1.13 Fuel cost (* See below) 0.12 0.66 Waste disposal cost 0.10 0.10 Decommissioning cost 0.04 0.07 Total cost (cent/kWh) 2.85(-29%) 4.03

(*) LLNL data (ref.2) is based on de-natured MSR, which uses U235 as fissile, and its FCC　was 1.11(cent/kWh) for MSR, and 0.74(cent/kWh) for PWR.　Therefore, FCC is revised by the author, using recent FUJI-12 data. Also, PWR　data is re-evaluated using recent data.

MSR (FUJI-233U) FCC Calculation　(Front-end Fuel Cycle Cost)

 Plant data for FUJI-233U Assumed 1Gwe MSR Electric power 200 MWe 1,000 MWe Thermal power 450 MWt 2,250 MWt Initial Th232 weight in ThF4 38.4 ton 192 ton Initial U233 weight in UF4 0.80 ton 4.0 ton Initial Li7 weight in LiF 5.2 ton 26.0 ton Initial Be weight in BeF2 1.5 ton 7.5 ton Capacity factor 90% 90% Total U233 loading for　30 years operation 0.755 ton　(* see below) (0.025 t/y) 3.78 ton　 (0.125 t/y)

(*) 0.629tons at CF=0.75 is converted to CF=0.90 case.

2) Unit price dollar data

 Thoria (ThO2) \$15/LB =1978 price at ORNL report.　 (Since uranium price does not change from 1978, ThO2 price is assumed same as 1978.) Metallic Th \$38/kgTh (=15 / 0.4536 / 0.88) U233 \$33/gram. See below. Li7 \$0.6/gram. =1978 price at ORNL report. (Estimated as large quantity price for 99.99%.) Be \$75/LB　　=\$165/kg =1978 price at ORNL report.

In the PWR calculation, U235 weight = 25t X 0.035 = 0.88 ton.

U235 value = (15.9+13.2)M\$ / 0.88ton = \$33/gram. This price is applied to U233 value.

1) Initial fuel

 Thorium cost: 192t X \$38/kgTh / 1,000 = 7.3 M\$ U233 cost: 4.0t X \$33/gram(:M\$/ton) = 132.0 M\$ Li7 26.0t X \$0.6/gram(:M\$/ton) =15.6 M\$ Be 7.5t X \$165/kg / 1,000 =1.2 M\$ Total 156.1 M\$.

 Thorium cost: 0.74t/y (*) X \$38/kgTh / 1,000 = 0.03 M\$/y U233 cost: 0.125t/y X \$33/gram(:M\$/ton) = 4.13 M\$ Total 4.16 M\$/y.

(*) Using a rule-of-thumb of “1 gram fission” =1MWD, 2333Mwt X 365d X 0.90 / 1.0E6 = 0.74 ton/year.

 Total fuel cost for 30 years operation (156.1 + 4.16 X 30y) X 1.0E8 = 0.281E11 cents. Total power generation for 30 years　Operation 1,000,000 kW X 24hr X 365d X 0.90 X 30y　= 2.36E11 kWh MSR FCC 0.12 cent/kWh

Annual escalation and the interest rate are not included, and Fuel Cost is simply summed.

PWR FCC Calculation　(Front-end Fuel Cycle Cost)

1) Plant data (year 2000 data)

 Electric power 1,000 MWe Thermal power 3,000 MWt Specific power 39.0 kW/Kg Core weight (heavy metal) 77 ton Fuel enrichment 3.5 wt% Discharge burn-up 35,000 MWd/t Cycle loading for 15 months cycle 31.2 tonU/cycle Capacity factor 80 % Averaged annual loading (heavy metal) 25.0 tonU/y

2) Unit price dollar data

 Yellow cake (U3O8) \$35/LB =1978 price at ORNL report.　 (Recent long-term-contract price may be close to this price, although 2004 spot price is \$17.5/kg.) Metallic U \$91/kgU (=35 / 0.4536 / 0.85) SWU \$110/kgU =2004 price. (ORNL 1978 price was \$80/kg.) Fabrication \$500/kgU Assumed price for recent manufacturing.

Assuming 0.25% tail enrichment, and or 3.5% enrichment for both initial fuel and reload fuel.

1) Initial fuel

 Feed component cost: 77t X (Feed Component =7.0) X \$91/kgU / 1,000 = 49.0 M\$ SWU cost: 77t X (SWU=4.8) X \$110/kgU / 1,000 = 40.7 M\$ Fabrication cost: 77t X \$500/kgU / 1,000 = 38.5 M\$ Total 128.2 M\$.

 Feed component cost: 25.0t/y X (Feed Component =7.0) X \$91/kgU / 1,000 = 15.9 M\$/y SWU cost: 25.0t/y X (SWU=4.8) X \$110/kgU / 1,000 = 13.2 M\$ Fabrication cost: 25.0t/y X \$500/kgU / 1,000 = 12.5 M\$ Total 41.6 M\$/y.

 Total fuel cost for 30 years operation (128.2M\$ + 41.6M\$ X 30 ) X 1.0E8 = 1.38E11 cents. Total power generation for 30 years　Operation 1,000,000 kW X 24hr X 365d X 0.80 X 30y= 2.10E11 kWh PWR FCC 0.66 cent/kWh

Annual escalation and the interest rate are not included, and Fuel Cost is simply summed.

1999年１２月の総合エネルギー調査会第７０回原子力部会におけるモデル試算
（経済産業省ホームページhttp://www.enecho.meti.go.jp/faq/electric/q04.htm）
によると、下記の通りであり、今回の計算は、軽水炉についてはほぼ妥当であることが分かる。

 LWR （METI試算） PWR （上記計算） 資本費（セント/KWH、以下同じ） 2.3円／kWh 2.07円／kWh 運転保守費 1.9 1.13 燃料サイクル費 0.74 0.66 再処理費 (0,63) NA 廃棄物処理費 0.25 0.10 解体費 0.07円／kWh 0.07 合計発電コスト(再処理費除く） 5.26円／kWh 4.03円／kWh

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