02 电力线路

2.12008-3-15--29992008-3-15--399r1----Ω/mL1----H/mg1----S/mC1----F/m2008-3-15--4¾RdcRac5060HzRdcRac2008-3-15--5¾–2020()1/kmrSρ=Ω20ρ31.2(Ω·mm2/km)ρ18.8(Ω·mm2/km)mm2()1()1()C20C120trrtα⎡⎤=+−⎣⎦DDα0.003821/α0.003601/2008-3-15--61L¾rxxHxxHp1pDai9x2222axaixixirrππ==2221222xxaaixxHiixxrrπππ===9x2008-3-15--79xdx1m9x0022rxrxaBHixrµµµµπ==()70410Hmµπ−=×1rµ≈02ddd2xxaBxixxrµπΦ==91m2300aa2400ddWbm224rraxaixixxrrµµππ′Ψ=Φ==∫∫22xrµ0/(8π)2008-3-15--89xBx002axxiBHxµµπ==911mD1p()110aapdlnWbm2pDpxarDBxirµπ′′Ψ==∫9D1p()10aapaaaap1lnWbm24paDirµπ⎛⎞′′′Ψ=Ψ+Ψ=+⎜⎟⎝⎠2008-3-15--9¾abp1pD2pDx12DbixH9bx002bxxiBHxµµπ==9bibap2122012dlnWbm2pDpabpxbDDBxiDµπΨ==∫2008-3-15--10¾9p-aa12301213012312131lnlnln241111lnlnlnlnlnln24pppapabcabcapbpcpDDDiiirDDiiiiDiDiDrDDµπµπ⎡⎤⎛⎞Ψ=+++⎢⎥⎜⎟⎝⎠⎣⎦⎡⎤⎛⎞=++++++⎢⎥⎜⎟⎝⎠⎣⎦abp1pDbicaici2pD3pD12D13D23D()cabiii=−[phone]lnlnlnlnln24ppapabcabppDDiiiiirDDDDµπ⎡⎤⎛⎞Ψ=+++++⎢⎥⎜⎟⎝⎠⎢⎥⎣⎦2008-3-15--111201213331111lnlnlnlnln24ppapabcabppDDiiiiirDDDDµπ⎡⎤⎛⎞Ψ=+++++⎢⎥⎜⎟⎝⎠⎢⎥⎣⎦1233limln0limln0ppppppDDDD→∞→∞⎛⎞⎛⎞==⎜⎟⎜⎟⎜⎟⎜⎟⎝⎠⎝⎠9pa012131111lnlnln24aabciiirDDµπ⎡⎤⎛⎞Ψ=+++⎢⎥⎜⎟⎝⎠⎣⎦012231111lnlnln24bbaciiirDDµπ⎡⎤⎛⎞Ψ=+++⎢⎥⎜⎟⎝⎠⎣⎦013231111lnlnln24ccabiiirDDµπ⎡⎤⎛⎞Ψ=+++⎢⎥⎜⎟⎝⎠⎣⎦2008-3-15--123m122331DDDD=122331DDD≠≠ABCABCABC012132312132301111lnlnln241111lnlnln41111l13nlnln41111lnlnln24aabcabcabcabcmmabciiirDDiiirDDiiirDDiiirDDLiMiMiµπµπ⎧⎡⎤⎪⎛⎞Ψ=+++⎨⎢⎥⎜⎟⎝⎠⎪⎣⎦⎩⎡⎤⎛⎞++++⎢⎥⎜⎟⎝⎠⎣⎦⎫⎡⎤⎪⎛⎞++++⎬⎢⎥⎜⎟⎝⎠⎪⎣⎦⎭⎡⎤⎛⎞=+++⎢⎥⎜⎟⎝⎠⎣⎦=++9a2008-3-15--139aabcbabcaabcLiMiMiMiLiMiMiMiLiΨ=++⎧⎪Ψ=++⎨⎪Ψ=++⎩()cabiii=−+()111aaabbacLMiLiLiLi⎧Ψ=−=⎪Ψ=⎨⎪Ψ=⎩()011lnHm24mDLLMrµπ⎛⎞=−=+⎜⎟⎝⎠011ln24Lrµπ⎛⎞=+⎜⎟⎝⎠01ln2mMDµπ=992008-3-15--149950Hz()()()112500.06283ln0.0157km0.1445lg0.0157km0.1445lgkm0.779mmmDxLrDrDrπ=×=+Ω=+Ω=Ω0abciii++≠9x10.40Ω/km2008-3-15--15¾10.0157rxµ′′=9RacRdc910.1445lgmDxr′=12µr2008-3-15--169220kVdRdddRdddd992008-3-15--17500kV2008-3-15--182008-3-15--192008-3-15--209nr112131()nnneqnmrrdddrd−==9()10.01570.06283lnkmmeqDxrn=+Ω92340.330.300.28Ω/km.910kVx10.08Ω/km110kVx10.18Ω/km2008-3-15--219¾110kV¾110kV1g()301210SkmPgU−∆=×¾1g10g≈2008-3-15--229999⎪⎭⎪⎬⎫mm6.9kV110mm3.21kV220mm2.33kV330φφφ2008-3-15--23