三相双层短距绕组 2p=10 f=50Hz Z=180 Nc=3 y1=15 a=1 Ф1=0.113Wb B=sin0+0.3sin3θ。 试求:

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三相双层短距绕组,2p=10,f=50Hz,Z=180,Nc=3,y1=15,a=1,Ф1=0.113Wb,B=sin0+0.3sin3θ。

  试求:

热搜:f级绝缘的干式变压器的绕组温升一般不超过

答案解析

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  • 导体基波电动势:
       Ec1=2.22fФ1=(2.22×50×0.113)V=12.54V
       基波电动势的幅值:latex.action?latex=RV97Y20xfT1cc3FydHsyfUVfe2MxfT1cc3FydHsyfVx0aW1lcyAxMi41NFY9MTcuNzNW
       谐波电动势:latex.action?latex=RV97Y3Z9PTIuMjJmX3ZcUGhpIF92PTIuMjJ2ZlxmcmFjezJ9e1xwaSB9XGZyYWN7XHRhdSB9e3Z9%0D%0AbEJfe212fT1cZnJhY3tCX3ttdn19e0Jfe20xfX1FX3tjMX0%3D
       3次谐波电动势幅值:latex.action?latex=RV97Y20zfT1cZnJhY3tCX3ttM319e0Jfe20xfX1FX3tjbTF9PTAuM1x0aW1lcyAxNy43M1Y9NS4z%0D%0AMlY%3D
       因此,导体电动势瞬时值为
       ec=17.73sinωt+5.32sin3ωt
       其中ω=2πf=(2π×50)rad/s=314rad/s$每极每相槽数:latex.action?latex=cT1cZnJhY3tafXsybXB9PVxmcmFjezE4MH17MTBcdGltZXMgM309Ng%3D%3D
       槽距角:latex.action?latex=XGFscGhhID1cZnJhY3twXHRpbWVzIDM2MF57XGNpcmN9fXtafT1cZnJhY3s1XHRpbWVzIDM2MF57%0D%0AXGNpcmN9fXsxODB9PTEwXntcY2lyY30%3D
       极距:latex.action?latex=XHRhdSA9XGZyYWN7Wn17MnB9PTE4
       基波短距系数:latex.action?latex=a197eTF9PXNpblxsZWZ0KCBcZnJhY3t5XzF9e1x0YXUgfVx0aW1lcyA5MF57XGNpcmN9IFxyaWdo%0D%0AdCk9c2luXGxlZnQoIFxmcmFjezE1fXsxOH1cdGltZXMgOTBee1xjaXJjfSBccmlnaHQpPTAuOTY1%0D%0AOQ%3D%3D
       3次谐波短距系数:latex.action?latex=a197eTN9PXNpblxsZWZ0KCBcZnJhY3szXHRpbWVzIHlfMX17XHRhdSB9XHRpbWVzIDkwXntcY2ly%0D%0AY30gXHJpZ2h0KT1zaW5cbGVmdCggM1x0aW1lcyA3NV57XGNpcmN9IFxyaWdodCk9LTAuNzA3MQ%3D%3D
       线圈电动势幅值:Eymv=2NckyvEcmv
       基波电动势幅值: Eym1=2×3×0.9659×17.73V=102.8V
       3次谐波电动势幅值:Eym3=2×3×(-0.7071)×5.32V=-22.57V
       因此,线圈电动势瞬时值为
       ey=(102.8sinωt-22.57sin3ωt)V
       其中  ω=2πf=(2π×50)rad/s=314rad/s$分布系数:latex.action?latex=a197cTF9PVxmcmFje3NpblxmcmFje3FcYWxwaGEgfXsyfX17cXNpblxmcmFje1xhbHBoYSB9ezJ9%0D%0AfT1cZnJhY3tzaW5cZnJhY3s2XHRpbWVzIDEwXntcY2lyY319ezJ9fXs2c2luXGZyYWN7MTBee1xj%0D%0AaXJjfX17Mn19PTAuOTU2MQ%3D%3D
       latex.action?latex=a197cTN9PVxmcmFje3NpblxmcmFjezNxXGFscGhhIH17Mn19e3FzaW5cZnJhY3szXGFscGhhIH17%0D%0AMn19PVxmcmFje3NpblxmcmFjezNcdGltZXMgNlx0aW1lcyAxMF57XGNpcmN9fXsyfX17NnNpblxm%0D%0AcmFjezNcdGltZXMgMTBee1xjaXJjfX17Mn19PTAuNjQ0
       绕组每相串联线圈数:latex.action?latex=Tj1cZnJhY3sycHF9e2F9PTJcdGltZXMgNVx0aW1lcyA2PTYw
       各次谐波相电动势有效值:latex.action?latex=RV97XHZhcnBoaSB2fT1rX3txdn1ORV97eXZ9PVxmcmFje2tfe3F2fU5FX3t5bXZ9fXtcc3FydHsy%0D%0AfX0%3D
       基波相电动势有效值:latex.action?latex=RV97XHZhcnBoaSAxfT1rX3txMX1ORV97eW0xfT0wLjk1NjFcdGltZXMgNjBcdGltZXMgXGZyYWN7%0D%0AMTAyLjh9e1xzcXJ0ezJ9fVY9NDE3MFY%3D
       3次谐波相电动势有效值:latex.action?latex=RV97XHZhcnBoaSAzfT1rX3txM31ORV97eW0zfT0wLjY0NFx0aW1lcyA2MFx0aW1lcyBcZnJhY3st%0D%0AMjIuNTd9e1xzcXJ0ezJ9fVY9LTYxNi43Vg%3D%3D
       因此,绕组相电动势有效值为
       latex.action?latex=RV97XHZhcnBoaSB9PVxzcXJ0e0Vfe1x2YXJwaGkgMX1eMitFX3tcdmFycGhpIDN9XjJ9PTQyMTZW%0D%0A
       绕组线电动势有效值为
       latex.action?latex=RV9sPVxzcXJ0ezN9XHNxcnR7RV97XHZhcnBoaSAxfV4yfT03MjIzVg%3D%3D