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解説
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b) é«å§å±å é ç·å·¥äºã¯ããããåŒãå·¥äº(也ç¥ããå Žæã§ãã£ãŠ (ã€) ããå Žæã«éãã)å㯠(ãŠ) ã«ããæœèšããããšã
äžèšã®èšè¿°äžã®ç©ºçœç®æ(ã¢)ãã(ãŠ)ã«åœãŠã¯ãŸãçµåããšããŠãæ£ãããã®ã次ã®(1)ãã(5)ã®ãã¡ããäžã€éžã¹ã
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解説
æ£è§£ã¯(4)ã§ãã
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a) ã¯ã黿°èšåã®æè¡åºæºã®è§£é 第167æ¡ç¬¬1é ïŒäœå§é ç·ãšåŒ±é»æµé»ç·çãšã®æ¥è¿åã¯äº€å·®ïŒã«ãŠãã±ãŒãã«å·¥äºã«ããå Žåã¯ãäœå§é ç·ãåŒ±é»æµé»ç·åã¯æ°Žç®¡çãšæ¥è§Šããªãããã«æœèšããããšããšèŠå®ãããŠããŸãã
b) ã¯ã黿°èšåã®æè¡åºæºã®è§£é 第168æ¡ç¬¬1é ïŒé«å§å±å é ç·ã®æœèšïŒã«ãŠãé«å§å±å é ç·ã¯ããããåŒãå·¥äºïŒä¹Ÿç¥ããå Žæã§ãã£ãŠå±éããå Žæã«éããïŒãåã¯ãã±ãŒãã«å·¥äºãã«ããæœèšããããšãšèŠå®ãããŠããŸãã
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ãã¯ãçžäºéã¯ã (ãŠ) æ¥ç¶ããããšã
äœå§å±å
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ç·ã®äœ¿çšé»å§ã300Vãè¶
ããå Žåã¯ããã¯ãã« (ãš) æ¥å°å·¥äºãæœãããšããã ãã人ãè§Šãããããããªãããã«æœèšããå Žåã¯ããã®éãã§ãªãã
éå±è£œå€ç®±çã«ã¯ã (ãª) ãæœãããšã
äžèšã®èšè¿°äžã®ç©ºçœç®æ(ã¢)ãã(ãª)ã«åœãŠã¯ãŸãçµåããšããŠãæ£ãããã®ã次ã®(1)ãã(5)ã®ãã¡ããäžã€éžã¹ã
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解説
æ£è§£ã¯(5)ã§ãã
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第äžå·ïŒé»ç·ã®æé¢ç©ã®åèšã¯ããã¯ãã®å
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第äžå·ïŒæ¯æç¹éã®è·é¢ã¯ã3m以äžãã§ããããšã
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ãããã£ãŠã(ã¢)ã«ã¯ã20ãã(ã€)ã«ã¯ã3ãã(ãŠ)ã«ã¯ã黿°çãã(ãš)ã«ã¯ãCçš®ãã(ãª)ã«ã¯ãç°¡ææ¥è§Šé²è·æªçœ®ããå ¥ãã®ãæ£ããå 容ãšãªããŸããïŒæ³šïŒéžæè¢ã®çµåãã¯åºå žã®åœ¢åŒã«åºã¥ããŸãïŒã
ã什å7å¹ŽåºŠäžæã»å10ãé«å§äº€æµè² è·ééåšã®SOåäœ
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GRä» PAS ã¯è² è·é»æµã鮿ããããšãã§ãããã (ã¢) 黿µã®ãããªå€§ããªé»æµã¯é®æã§ããªããããGRä» PASã® (ã€) åŽããåé»çšé®æåšã®éã§ (ã¢) äºæ ãèµ·ããå Žåã¯ãPASã® (ãŠ) åœä»€ãäžæçã«ä¿åããŠåŸ æ©ç¶æ ãšãªãã
äžè¬éé é»äºæ¥è ã®é é»çšå€é»æã®é®æåšãåäœããããšã«ãã£ãŠãé é»ç·ã®åé»ãæ€åºããç¡é»å§ã«ãªã£ãç¶æ ã確èªããŠãã (ãŠ) åäœãè¡ãããããã£ãŠãé é»çšå€é»æã®é®æåšãåæå ¥ãããå Žåã§ããæ¢ã«PASã (ãŠ) ãããŠãããããé é»ç·ã®åéè·¯ãæåããããšãšãªãã (ãš) äºæ ãšããŠåãæ±ãããªãã
äžèšã®èšè¿°äžã®ç©ºçœç®æ(ã¢)ãã(ãš)ã«åœãŠã¯ãŸãçµåããšããŠãæ£ãããã®ã次ã®(1)ãã(5)ã®ãã¡ããäžã€éžã¹ã
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| (4) | å°çµ¡ | 黿º | 鮿 | é é»ç· |
| (5) | ç絡 | è² è· | éæŸ | æ³¢å |
解説
æ£è§£ã¯(5)ã§ãã
é«å§äº€æµè² è·ééåšïŒPASïŒã®SOGïŒå°çµ¡ã»ççµ¡ïŒæ©èœã«ãããSOïŒStorage OperationïŒç¬æéæŸïŒåäœã«é¢ããèšè¿°ã§ãã
PASã¯ãè² è·é»æµãã鮿ããèœåã¯ãããŸããã倧ããªãççµ¡é»æµãã鮿ããèœåã¯ãããŸããããã®ãããéèŠå®¶æ§å ã®PASã®(ã€)è² è·åŽã§(ã¢)ççµ¡äºæ ãçºçããå Žåã倧ããªççµ¡é»æµãæ€åºãããšãPASãçŽæ¥é®æããã®ã§ã¯ãªããå€é»æã®é®æåšãé é»ç·ãåé»ãããåŸã®ç¡é»å§ç¶æ ã§ãä¿åãããŠãã(ãŠ)éæŸåœä»€ã«ããPASãéæŸããŸãã
ããã«ãããå€é»æã®é®æåšãåéè·¯ïŒåæå ¥ïŒããããšãã«ã¯æ¢ã«äºæ ç®æãåãé¢ãããŠãããããé é»ç·å šäœã®åé»ãé²ãããšãã§ãã(ãš)æ³¢åäºæ ã鲿¢ããŸãã
ãããã£ãŠã(ã¢)ã«ã¯ãç絡ãã(ã€)ã«ã¯ãè² è·ãã(ãŠ)ã«ã¯ãéæŸãã(ãš)ã«ã¯ãæ³¢åããå ¥ã(5)ãæ£ããå 容ãšãªããŸãã
ãå11ãæµèŸŒåŒæ°Žåçºé»æã®éçš
æå¹èœå·® 90 mãæå€§äœ¿çšæ°Žéãæžæ°ŽéïŒ1 幎ã®ãã¡ 355 æ¥ã¯ç¢ºä¿ã§ããæ°ŽéïŒã® 2 åãæ°Žè»åã³çºé»æ©ã®ç·åå¹ç 80 %ã®æµèŸŒåŒæ°Žåçºé»æãããããã®çºé»æãå©çšããŠããæ²³å·ã®æµé Q [m³/s] ãå³ã®ãããªå¹Žéæµéæ²ç·ïŒæ¥æ°ã 90 æ¥ä»¥äžã®éšåã¯ãQ = -0.05d + 25.5 ã§è¡šããããïŒã§ãããšããæ¬¡ã® (a) åã³ (b) ã®åã«çããããã ããæ°Žã®å¯åºŠã 1 000 kg/m³ãéåå é床ã 9.8 m/s² ãšããã
(a) ãã®çºé»æã®å¹Žéå¯èœçºé»é»åéã®å€ [GWã»h] ãšããŠãæãè¿ããã®ã次㮠(1) ãã (5) ã®ãã¡ããäžã€éžã¹ã
(1) 47.9
(2) 72.8
(3) 84.3
(4) 94.5
(5) 97.4
(b) ãã®çºé»æã®èšåå©çšç [%] ãšããŠãæãè¿ããã®ã次㮠(1) ãã (5) ã®ãã¡ããäžã€éžã¹ã
(1) 50.0
(2) 63.0
(3) 69.5
(4) 75.9
(5) 88.0
解説
æ£è§£ã¯ (a) ã (3)ã(b) ã (5) ã§ãã
(a) 幎éå¯èœçºé»é»åéã®èšç®
ãŸããæå€§äœ¿çšæ°Žé $Q_{max}$ ãæ±ããŸããæžæ°Žé㯠$d = 355$ æ¥ã®æµéãªã®ã§ã
$Q_{355} = -0.05 \times 355 + 25.5 = 7.75 \text{ m}^3/\text{s}$
æå€§äœ¿çšæ°Žéã¯ãã® 2 åãªã®ã§ã $Q_{max} = 7.75 \times 2 = 15.5 \text{ m}^3/\text{s}$ ãšãªããŸãã
次ã«ãæ²³å·æµéã $Q_{max}$ 以äžãšãªãæ¥æ° $d$ ãæ±ããŸãã
$15.5 = -0.05d + 25.5$ ããã $d = 200$ æ¥ã§ãã
çºé»ã«äœ¿çšã§ããé»åé $W$ ã¯ã $d = 0$ ãã 200 æ¥ãŸã§ã¯ $Q_{max}$ã200 æ¥ãã 365 æ¥ãŸã§ã¯æ²³å·æµé $Q$ ãçšããŠèšç®ããŸãã
åºå $P = 9.8 \times Q \times H \times \eta$ [kW] ã®å
¬åŒããã
$P = 9.8 \times Q \times 90 \times 0.8 = 705.6 \times Q$ [kW]
$W_1 (0\text{–}200\text{æ¥}) = 705.6 \times 15.5 \times 24 \times 200 \approx 52.5 \text{ GW}\cdot\text{h}$
$W_2 (200\text{–}365\text{æ¥})$ ã¯æµéæ²ç·ã®ç©åïŒå°åœ¢ã®é¢ç©ïŒããã
$Q$ ã®å¹³å㯠$(15.5 + 7.25) / 2 = 11.375 \text{ m}^3/\text{s}$
$W_2 = 705.6 \times 11.375 \times 24 \times (365 – 200) \approx 31.8 \text{ GW}\cdot\text{h}$
åèš $W = 52.5 + 31.8 = 84.3 \text{ GW}\cdot\text{h}$ ãšãªããŸãã
(b) èšåå©çšçã®èšç®
èšåå©çšçã¯ããå®éã®çºé»é»åéãããæå€§åºåã§ 365 æ¥é£ç¶é転ããå Žåã®çºé»é»åéãã§é€ãããã®ã§ãã
æå€§åºå $P_{max} = 705.6 \times 15.5 \approx 10936.8 \text{ kW}$
æå€§å¯èœé»åé $W_{max} = P_{max} \times 24 \times 365 \approx 95.8 \text{ GW}\cdot\text{h}$
èšåå©çšç $= (84.3 / 95.8) \times 100 \approx 88.0 \%$
ãšãªããŸãã
æ¬åé¡ã¯èšç®åé¡ã§ãããæ°Žåçºé»ã®å¹ççãªéçšã¯ã黿°èšåã«é¢ããæè¡åºæºãå®ããç什 第18æ¡ïŒæå£ã«ããäŸçµŠæ¯éã®é²æ¢ïŒãªã©ã®èгç¹ããããå®å šãã€é©åãªèšåç¶æãåæãšãªããŸãã
ãå12ãé é»ç³»çµ±ã®é«èª¿æ³¢é»æµ
äžçž 3 ç·åŒé é»ç·è·¯ãã 6600 V ã§åé»ããŠããäžçžè² è·èšåãããããã®è² è·èšåããé é»ç³»çµ±ãžæµåºãã第 5 èª¿æ³¢é»æµãç®åºããã«ããããæ¬¡ã® (a) åã³ (b) ã«çããã
ãã ããè² è·èšåã¯å®æ Œå®¹é 500 kVã»A ã§ãåçæ¹åçšãšã㊠6 % çŽåãªã¢ã¯ãã«ä»ãã³ã³ãã³ãµèšåãèšçœ®ãããŠããããã®è² è·èšåããçºçãã第 5 èª¿æ³¢é»æµã¯ãè² è·èšåã®å®æ Œé»æµã«å¯Ÿã 15 % ãšããããŸããåé»ç¹ããã¿ãé é»ç·è·¯åŽã®ç¬¬ $n$ 調波ã«å¯Ÿããã€ã³ããŒãã³ã¹ã¯ 10 MVã»A åºæºã§ $j6 \times n$ [%]ãã³ã³ãã³ãµèšåã®ã€ã³ããŒãã³ã¹ã¯ 10 MVã»A åºæºã§ $j50 \times (6 \times n – 100 / n)$ [%] ã§è¡šããããã®ãšããã
(a) é«èª¿æ³¢çºçæ©åšããçºçãã第 5 èª¿æ³¢é»æµã®åé»ç¹é»å§ã«æç®ãã黿µ [A] ã®å€ãšããŠãæãè¿ãã®ã¯æ¬¡ã®ãã¡ã©ããã
(1) 1.3
(2) 6.6
(3) 11.4
(4) 32.8
(5) 43.7
(b) åé»ç¹ããé é»ç³»çµ±ã«æµåºãã第 5 èª¿æ³¢é»æµ [A] ã®å€ãšããŠãæãè¿ãã®ã¯æ¬¡ã®ãã¡ã©ããã
(1) 1.2
(2) 6.2
(3) 10.8
(4) 30.9
(5) 41.2
解説
æ£è§£ã¯ (a) ã (2)ã(b) ã (2) ã§ãã
(a) 第 5 èª¿æ³¢é»æµæºã®é»æµ $I_{h5}$ ã®èšç®
ãŸããè² è·èšåã®å®æ Œé»æµ $I_n$ ãæ±ããŸãã
$I_n = \frac{P}{\sqrt{3}V} = \frac{500 \times 10^3}{\sqrt{3} \times 6600} \approx 43.74 \text{ A}$
第 5 èª¿æ³¢é»æµ $I_{h5}$ ã¯å®æ Œé»æµã® 15 % ãªã®ã§ã
$I_{h5} = 43.74 \times 0.15 \approx 6.56 \text{ A}$
æãè¿ãå€ã¯ 6.6 A ãšãªããŸãã
(b) é
é»ç³»çµ±ãžã®æµåºé»æµ $I_{s5}$ ã®èšç®
第 5 調波ïŒ$n = 5$ïŒã«ãããåã€ã³ããŒãã³ã¹ãæ±ããŸãã
é
é»ç³»çµ±åŽïŒ $Z_{s5} = j6 \times 5 = j30$ [%]
ã³ã³ãã³ãµåŽïŒ $Z_{c5} = j50 \times (6 \times 5 – 100 / 5) = j50 \times (30 – 20) = j500$ [%]
黿µåæµã®æ³åã«ããã系統åŽãžæµãã黿µ $I_{s5}$ ã¯ã
$I_{s5} = I_{h5} \times \frac{|Z_{c5}|}{|Z_{s5} + Z_{c5}|} = 6.56 \times \frac{500}{30 + 500} = 6.56 \times \frac{500}{530} \approx 6.19 \text{ A}$
æãè¿ãå€ã¯ 6.2 A ãšãªããŸãã
é«èª¿æ³¢ã®æå¶ã«ã€ããŠã¯ã黿°èšåã«é¢ããæè¡åºæºãå®ããç什 第10æ¡ïŒé»æ°èšåã®æ¥å°ã®æ¹æ³çã«é¢é£ãã黿°çé害ã®é²æ¢ïŒããäŸçµŠå質ã®ç¶æã«é¢ããèŠå®ãèæ¯ã«ãããŸãã
ãå13ã倪éœé»æ± çºé»æã®èªå®¶æ¶è²»ãšäœå°é»å
åºå 600 kW ã®å€ªéœé»æ± çºé»æãèšçœ®ããã·ã§ããã³ã°ã»ã³ã¿ãŒããããããæ¥ã®å€ªéœé»æ± çºé»æã®çºé»ã®ç¶æ³ãšãã®ã·ã§ããã³ã°ã»ã³ã¿ãŒã«ãããé»åæ¶è²»ã¯å³ã«ç€ºããšããã§ãã£ããããªãã¡ãçºé»æã®åºåã¯æã® 6 æãã 12 æãŸã§çŽç·çã«å¢å€§ãããã®åŸã¯å€æ¹ 18 æãŸã§çŽç·çã«äžéããããŸããæ¶è²»é»åã¯æ·±å€ 0 æããæã® 10 æãŸã§ã¯ 100 kWã10 æãã 17 æãŸã§ã¯ 300 kWã17 æãã 21 æãŸã§ã¯ 400 kWã21 æãã 24 æã¯ 100 kW ã§ãã£ããçºé»é»åãæ¶è²»é»åãäžåã£ãŠäœå°ãçãããšãã¯é»å系統ã«éé»ããŠãããæ¬¡ã® (a) åã³ (b) ã®åã«çããã
(a) ãã®æ¥ã倪éœé»æ± çºé»æããé»å系統ã«éé»ããé»åéã®å€ [kWã»h] ãšããŠãæãè¿ããã®ã次㮠(1) ãã (5) ã®ãã¡ããäžã€éžã¹ã
(1) 900
(2) 1300
(3) 1500
(4) 2200
(5) 3600
(b) ãã®æ¥ãã·ã§ããã³ã°ã»ã³ã¿ãŒã§æ¶è²»ããé»åéã«å¯ŸããŠå€ªéœé»æ± çºé»æãçºé»ããé»åéã«ããèªçµŠããæ¯ç [%] ãšããŠãæãè¿ããã®ã次㮠(1) ãã (5) ã®ãã¡ããäžã€éžã¹ã
(1) 35
(2) 38
(3) 46
(4) 52
(5) 58
解説
æ£è§£ã¯ (a) ã (2)ã(b) ã (3) ã§ãã
(a) 系統ãžã®éé»åéïŒäœå°é»åéïŒã®èšç®
çºé»åºå $P_g(t)$ 㯠6 æãã 12 æã§ $0 \to 600 \text{ kW}$ã12 æãã 18 æã§ $600 \to 0 \text{ kW}$ ãšå€åããŸãã
æ¶è²»é»å $P_c(t)$ ãšã®å·®ãèããŸãã
ã»9 æãã 15 æã®éãçºé»åºå㯠300 kW 以äžãšãªãã10 æãã 17 æã®æ¶è²» 300 kW ãäžåãæé垯ããããŸãã
ã»å³åœ¢çã«ãçºé»ã®äžè§åœ¢ïŒé¢ç© 3600 kWhïŒããæ¶è²»é»åéã®éãªãéšåãé€ããé¢ç©ãèšç®ããŸãã
èšç®ã®çµæãéé»ããé»åéïŒäœå°åïŒã¯ 1300 kWh ãšãªããŸãã
(b) èªçµŠæ¯çã®èšç®
ãŸãã 1 æ¥ã®å
šæ¶è²»é»åé $W_c$ ãæ±ããŸãã
$W_c = (100 \times 10) + (300 \times 7) + (400 \times 4) + (100 \times 3) = 1000 + 2100 + 1600 + 300 = 5000 \text{ kW}\cdot\text{h}$
次ã«ã倪éœå
çºé»ã®ãã¡èªå®¶æ¶è²»ãããé»åé $W_{self}$ ãæ±ããŸãã
$W_{self} = (\text{å
šçºé»é}) – (\text{äœå°éé»é}) = 3600 – 1300 = 2300 \text{ kW}\cdot\text{h}$
èªçµŠæ¯ç $= (W_{self} / W_c) \times 100 = (2300 / 5000) \times 100 = 46 \%$
ãšãªããŸãã
ãã®ãããªåæ£å黿ºã®éçšã¯ã黿°äºæ¥æ³ 第28æ¡ã®40ïŒæšé²æ©é¢ã®æ¥åïŒãäŸçµŠèšç»ã«é¢é£ããå¹ççãªãšãã«ã®ãŒå©çšã®ä¿é²ã«å¯äžããŸãã
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