电力系统分析课后答案

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2-17.某一回110kv 架空电力线路,长度为60km,导线型号LGJ-120,导线计算外径为15.2mm,三相导线水平排列,两相邻导线三相间的距离为4m,试计算该电力线路的参数,并作等效电路。

解: ()km sr Ω===2625.01205.311ρ)(6.722.15mm r ==)(7.503940002400040003mm D m =⨯⨯⨯=()s r D b km r D X m m 666111069.2106.77.5039lg 58.710lg58.7)/(423.00157.06.77.5039lg 1445.00157.0lg1445.0---⨯=⨯=⨯=Ω=+=+= .01=g则 .0)(10807.02)(10614.1601069.2)(38.2560423.0)(75.15602625.014146111111=⨯=⨯=⨯⨯==Ω=⨯==Ω=⨯==---G s B s l b B l x X l r R.0)/(10805.12161=⨯=-g km s b2-19.三相双绕组升压变压器的型号为SFL-40500/110,额定容量为40500KVA,额定电压为121/10.5KV,,4.234kw P k =,11(%)=k U ,6.930kw P =,315.2(%)0=I 求该变压器的参数,并作等值电路。

解: `)(1057.1)1040500()105.10(104.23422323322Ω⨯=⨯⨯⨯⨯==-NN K T S U P R)(105.8)105.10(1001040500315.2100(%))(1049.8)105.10(106.93)(3.010********)105.10(11100(%)3233204233203232S U S I B S U P G S U U X NN T NT N N N T --⨯=⨯⨯⨯⨯==⨯=⨯⨯==Ω=⨯⨯⨯⨯==2-20.三相三绕组降压变压器的型号为SFPSL-120000/220,额定容量为120000/120000/60000KVA,额定电压为220/121/11KV,,601)21(KW P K =-,5.182)31(KW P K =-,25.28(%),85.14(%),5.132)31()21()32(===---K K K U U KW P ,663.0(%),135,96.7(%)00)32(===-I KW P U K 求该变压器的参数,并作等值电路。

解: I: )(601)21(KW P K =-)(5304)(7304)32(')32()31(')31(KW P P KW P P K K K K ====----)(5.329)(21)(5.200)(21)(5.400)(21)21(')32(')31(3')31(')32()21(2')32(')31()21(1KW P P P P KW P P P P KW P P P P K K K K K K K K K K K K =-+==-+==-+=--------- )(107.1)101012()10220(105.329)(674.0)101012()10220(105.200)(346.1)101012()10220(105.400234233221332342332212223423322111Ω=⨯⨯⨯⨯⨯==Ω=⨯⨯⨯⨯⨯==Ω=⨯⨯⨯⨯⨯==N N K T N N K T N N K T S U P R S U P R S U P R II :96.7(%),25.28(%),85.14(%))32()31()21(===---K K K U U U)(076.43101012100)10220(68.10100(%))(971.10101012100)10220(72.2100(%))(866.70101012100)10220(57.17100(%)68.10(%))(%)(%)(21(%)72.2(%))(%)(%)(21(%)57.17(%))(%)(%)(21(%)342321333423212234232111)21()32()31(3)31()32()21(2)32()31()21(1Ω=⨯⨯⨯⨯⨯==Ω-=⨯⨯⨯⨯⨯-==Ω=⨯⨯⨯⨯⨯===-+=-=-+==-+=---------N N K T N N K T N N K T K K K K K K K K K K K K S U U X S U U X S U U X U U U U U U U U U U U U III :)(1079.2)10220(101356233210S U P G N T -⨯=⨯⨯== IV :)(10644.1)10220(100101012663.0100(%)52334210S U S I B N N T -⨯=⨯⨯⨯⨯⨯== 2-22.双水内冷汽轮同步发电机的型号为TQFS-125-2,,125MW P N =,18.0,257.0,867.1,8.13,85.0cos ''=====d d d N N X X X KV U ϕ试计算该发电机的直轴同步电抗d X ,暂态电抗'd X ,直轴次暂态电抗''d X 的有名值.解: 22cos 1.295()N N NN N NU U Z S P ϕ===Ω)(418.2295.1867.1867.1Ω=⨯==N d Z X)(233.0295.118.018.0)(333.0295.1257.0257.0'''Ω=⨯==Ω=⨯==N dN d Z X Z X2-23.电抗器型号为NKL-6-500-4,,500,6A I KV U N N ==电抗器电抗百分数.4(%)=L X 试计算该电抗器电抗的有名值. 解: )(277.0500310010643100(%)3Ω=⨯⨯⨯==NN L L I U X XChapter 三3-1.电力系统阻抗中的功率损耗表达式是什么?电力线路始.末端的电容功率表达式是什么?答:)(222L L i i i L L L jX R U Q P Q j P S ++=∆+∆=∆221221222211LC L C B jU S B jU S -=∆-=∆3-8.110kv 双回架空电力线路,长度为150km ,导线型号为LGJ-120,导线计算外径为15.2mm,三相导线几何平均距离为5m,已知电力线路末端负荷为30+j15MVA,末端电压为106kv,求始端电压、功率,并做出电压相量图。

解: )/(2625.01205.311km sr Ω===ρ)(6.722.15),(50005mm r mm m D m ==== )/(423.00157.06.75000lg 1445.00157.0lg1445.01km r D X m Ω=+=+= 0),/(1069.2106.75000lg 58.710lg 58.716661=⨯=⨯=⨯=---g km s rD b m.0)(1007.81501069.222)(725.31150423.02121)(687.191502625.0212146111=⨯=⨯⨯⨯==Ω=⨯⨯==Ω=⨯⨯==--L L L L G s l b B l x X l r R)(466.1030)21007.8106()1530()2(4222.2'2.MVA j j j B jU S S L +=⨯⨯-++=-+=-)725.31687.19(106466.1030)(222222'22'2.j jX R U Q P Q j P S L L L L L +⨯+=++=∆+∆=∆ )(85.2769.1MVA j +=2'2'22'2'2222..'2.'1.)(316.13769.31)85.2769.1()466.1030(U R Q X P jU X Q R P U j U U d MVA j j j S S S LL L L L -++=+∆=+=+++=∆+=δ106687.19466.10725.3130106725.31466.10687.1930⨯-⨯+⨯+⨯=j)(03.77.8kv j +=..221.)5.39.11403.77.11403.77.8106kv j j U d U U (。

∠=+=++=+=)21007.89.114()316.13769.31()2(4221'1.1.-⨯⨯-++=-+=j j B jU S S L)(99.7769.31MVA j +=设),01062kv U 。

(∠=),(03.7),(7.822kv U kv U ==∆δ则)(5.39.114..kv U ∠=3-9.220KV 单回架空电力线路,长度为200KM,导线型号LGJ —300,导线计算外径为mm 2.24,三相导线几何平均距离为m 5.7,已知其始端输出的功率为MVA j 50120+,始端的电压为KV 240.求末端电压及功率,并作出电压向量图.解:)/(105.03005.311Km sr Ω===ρ)(75005.7mm m D m ==)(1.12229.24mm r ==0157.0lg1445.01+=rD x m)/(419.00157.01.127500lg1445.0km Ω=+=)/(10715.2101.127500lg 58.710lg 58.76661km S rD b m---⨯=⨯=⨯=)(21200105.01Ω=⨯==l r R L )(8.83200419.01Ω=⨯==l x X L)(1043.520010715.2461S l b B l --⨯=⨯⨯==0=l G)243.5240()50120()2(422111-⨯--+=--='j j B jU S S l )(6384.65120MVA j +=)8.8321(2406384.65120)(222212121j jX R U Q P S L L L +⨯+=+'+'=∆ )(22.2782.6MVA j +=)(418.3818.113)22.2782.6()6384.65120(12MVA j j j S S S L+=+-+=∆-'=' 111111111U R Q X P j U X Q R P U j U U d L L L L '-'+'+'=+∆=δ 240216384.658.831202408.836384.6521120⨯-⨯+⨯+⨯=j)(157.36419.33MVA j +=)(1072.209157.3658.206157.36419.33240112KV j j U d U U ︒-∠=-=--=-= )21043.572.209()418.3818.113()2(422222-⨯⨯--+=--'=j j B jU S S L)(36.5018.113MVA j +=∴.2S )(36.5018.113MVA j +=;)(1072.2092KV U ︒-∠= 。