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ANSYS论坛(4)——分离区域载压线圈的加载

(2011-11-28 09:57:28)
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杂谈

ANSYS论坛(4)——分离区域载压线圈的加载  

1 问题:变压器中的交错线圈、电机中的分布线圈属于“分离”区域线圈,如果想加载电压而不是电流,即已知的是加载整个线圈两端的电压,此时如何加载这个电压呢?

2 困惑:

(1) 如是单独一个线圈,则只要耦合所有节点的“电流”(Curr)自由度即可,如

CP,1,Curr,All    !表示线匝处于串联状态;

然后,只要选择所有单元,然后加载电压降落(Voltage drop)即可,如

BFE,ALL,VLTG,,U(电压幅值或有效值),Angle(电压相位角)

(2) 对于“分离”区域,电流耦合仍然同上,因为它们还是串联,但是电压是否仍然如上加载呢?

3 计算试验(ANSYS帮助中的VM206):

(1) 一个线圈加载电压12V,计算发现流过线圈电流(如后程序VM206.LGW)

http://img.bimg.126.net/photo/AmCoYQt0p_nIt_YxiXizcQ==/3981182070597558975.jpg                                                                                 (1)

这个结果可以认为是该问题的正解。

(2) 假设将该线圈分裂为上下两部分,中间有很小的空气间隙。显然,该间隙基本不影响最终结果。此时上下两部分线匝数分别为原来一半。如果将所有单元的电流一起耦合,然后统一加载12V,则计算线圈电流(如后程序VM206-1.LGW)

http://img.bimg.126.net/photo/AvPWWRl8hN-sUIkhzE12RA==/3981182070597558980.jpg                                                                                (2)

比较式子(1)、(2),不能认为是空气间隙引起的误差,基本上是2倍的关系,所以这种加载方法不准确。

(3) 因为两部分线圈匝数相等,所以上、下线圈应该各自承担1/2的电压,即6V,分别加载电压(如何程序VM206-2.LGW),此时电流为

http://img.bimg.126.net/photo/FOqFf3HUwrTzakKRtfRGrQ==/2617435808433108713.jpg                                                                            (3)

与(1)比较,可以认为该结果正确,微小的差别来自于中间的空气间隙。

4 结论

(1) 对于分离区域的线圈加载电压时,必须对每个区域单独加载电压。此时必须预估每个分离线圈占总电压的百分比。

(2) 庆幸的是,电机分布线圈经常对称且各部分匝数相等,所以电压也只需按照匝数百分比分配即可。

(3) 对于分离区域线圈不相等,也没有对称的情况,需要足够的理论支持电压的分配问题。

5 程序

(1) VM206:对ANSYS中的VM206进行了适当的改造

/PREP7

ET,1,53,,,1         ! AIR

ET,2,53,2,,1        ! VOLTAGE FORCED COIL

ET,3,110,,,1        ! FAR-FIELD

 

MP,MURX,1,1

MP,MURX,2,1

MP,RSVX,2,3.00E-8   ! RESISTIVITY OF COIL

 

S=0.02              ! COIL WIDTH AND HEIGHT

N=500              ! NUMBER OF TURNS

R=3*S/2                ! COIL MIDSPAN RADIUS

 

RECTNG,S,2*S,0,4*s

PCIRC,0,6*S,0,90

PCIRC,0,12*S,0,90

AOVLAP,ALL

ASEL,S,AREA,,1

AATT,2,1,2

ASUM

*GET,A,AREA,,AREA        ! AREA OF 1/2 COIL CROSS-SECTION

ASEL,S,AREA,,5

AATT,1,1,1

ASEL,S,AREA,,4

AATT,1,1,3

ASEL,ALL

CSYS,1

LSEL,S,LOC,X,9*S

LESIZE,ALL,,,1 

Lsel,S,,,5,8,3

LESIZE,All,,,20

AMESH,4  

 

R,1,A,500,,1,1     ! COIL CONSTANTS

ASEL,S,,,1

Lsel,S,,,1,3,2 

LESIZE,ALL,,,10

Lsel,S,,,2,4,2

Lesize,All,,,40 

AMESH,ALL

 

Asel,S,,,5

MShape,1,2D  !Triangle-shaped      

MShKey,0     !Mapped meshing;

Smrtsize,2

AMesh,All

 

ESEL,S,MAT,,2            ! GET COIL ELEMENTS

NSLE,S

CP,1,CURR,ALL            ! COUPLE CURR DOF IN COIL

Allsel,All

CSYS,1

NSEL,S,LOC,X,12*S

SF,ALL,INF

NSEL,S,LOC,X,0

D,ALL,AZ,0

 

/SOLU

ANTYPE,HARM

HARFRQ,60

ESEL,S,MAT,,2

BFE,ALL,VLTG,,12         ! 12 VOLT LOAD

Allsel,ALL

SOLVE

FINISH

 

 /Post1

   Esel,s,Mat,,2    !Power winding;

   NSLE,S,1 

   *Get,N0,Node,0,Num,Min   !Node N0 inside power winding;

   Set,1  

   *Get,I1,Node,N0,Curr     !Real parts of current;

   Set,,,,1

   *Get,I2,Node,N0,Curr     !Image parts of current;

   Ipw=SQRT(I1*I1+I2*I2) 

 

(2) VM206-1.LGW:有空气间隙,一起加压12V

PREP7

ET,1,53,,,1         ! AIR

ET,2,53,2,,1        ! VOLTAGE FORCED COIL

ET,3,110,,,1        ! FAR-FIELD

 

MP,MURX,1,1

MP,MURX,2,1

MP,RSVX,2,3.00E-8   ! RESISTIVITY OF COIL

 

S=0.02              ! COIL WIDTH AND HEIGHT

N=500              ! NUMBER OF TURNS

R=3*S/2                ! COIL MIDSPAN RADIUS

 

RECTNG,S,2*S,0,1.95*s

RECTNG,S,2*S,0,2.05*s

RECTNG,S,2*S,0,4*s

PCIRC,0,6*S,0,90

PCIRC,0,12*S,0,90

AOVLAP,ALL

 

ASEL,S,,,1

ASUM

*GET,A1,AREA,,AREA

ASEL,S,,,7

*GET,A7,AREA,,AREA

 

Asel,s,,,1,7,6

AATT,2,1,2

R,1,A1,500/2,,1,1       ! COIL CONSTANTS

 

Asel,S,,,6,9,3

AATT,1,,1

Asel,S,,,8

AATT,1,,3

 

CSYS,1

LSEL,S,LOC,X,9*S

LESIZE,ALL,,,1 

Lsel,S,,,13,16,3

LESIZE,All,,,20

AMESH,8 

 

Csys,0

Lsel,S,Loc,X,1.5*s 

LESIZE,ALL,,,10

Lsel,S,Loc,Y,(0+1.95)/2*s

Lsel,A,Loc,Y,(2.05+4)/2*s

Lesize,All,,,20

Asel,S,Mat,,2

AMESH,ALL

 

MShape,0,2D      

MShKey,1

Asel,S,,,6    

Amesh,All

 

Asel,S,,,9

MShape,1,2D  !Triangle-shaped      

MShKey,0     !Mapped meshing;

Smrtsize,2

AMesh,All

 

ESEL,S,MAT,,2            ! GET COIL ELEMENTS

NSLE,S

CP,1,CURR,ALL            ! COUPLE CURR DOF IN COIL

Allsel,All

CSYS,1

NSEL,S,LOC,X,12*S

SF,ALL,INF

NSEL,S,LOC,X,0

D,ALL,AZ,0

 

/SOLU

ANTYPE,HARM

HARFRQ,60

ESEL,S,MAT,,2

BFE,ALL,VLTG,,12         ! 12 VOLT LOAD

Allsel,ALL

SOLVE

FINISH

 

 /Post1

   Esel,s,Mat,,2    !Power winding;

   NSLE,S,1 

   *Get,N0,Node,0,Num,Min   !Node N0 inside power winding;

   Set,1  

   *Get,I1,Node,N0,Curr     !Real parts of current;

   Set,,,,1

   *Get,I2,Node,N0,Curr     !Image parts of current;

   Ipw=SQRT(I1*I1+I2*I2) 

(3) VM206-2.LGW:有空气间隙,各加载6V

/PREP7

ET,1,53,,,1         ! AIR

ET,2,53,2,,1        ! VOLTAGE FORCED COIL

ET,3,110,,,1        ! FAR-FIELD

 

MP,MURX,1,1

MP,MURX,2,1

MP,RSVX,2,3.00E-8   ! RESISTIVITY OF COIL

 

S=0.02              ! COIL WIDTH AND HEIGHT

N=500              ! NUMBER OF TURNS

R=3*S/2                ! COIL MIDSPAN RADIUS

 

RECTNG,S,2*S,0,1.95*s

RECTNG,S,2*S,0,2.05*s

RECTNG,S,2*S,0,4*s

PCIRC,0,6*S,0,90

PCIRC,0,12*S,0,90

AOVLAP,ALL

ASEL,S,,,1

ASUM

*GET,A1,AREA,,AREA

ASEL,S,,,7

*GET,A7,AREA,,AREA

 

Asel,s,,,1,7,6

AATT,2,1,2

R,1,A1,500/2,,1,1       ! COIL CONSTANTS

 

Asel,S,,,6,9,3

AATT,1,,1

Asel,S,,,8

AATT,1,,3

 

CSYS,1

LSEL,S,LOC,X,9*S

LESIZE,ALL,,,1 

Lsel,S,,,13,16,3

LESIZE,All,,,20

AMESH,8 

 

Csys,0

Lsel,S,Loc,X,1.5*s 

LESIZE,ALL,,,10

Lsel,S,Loc,Y,(0+1.95)/2*s

Lsel,A,Loc,Y,(2.05+4)/2*s

Lesize,All,,,20

Asel,S,Mat,,2

AMESH,ALL

 

!Air gap:

  MShape,0,2D      

  MShKey,1

  Asel,S,,,6    

  Amesh,All

 

!Air domain;

  Asel,S,,,9

  MShape,1,2D  !Triangle-shaped      

  MShKey,0     !Mapped meshing;

  Smrtsize,2

  AMesh,All

 

!Boundary condition;

  ESEL,S,MAT,,2            ! GET COIL ELEMENTS

  NSLE,S

  CP,1,CURR,ALL            ! COUPLE CURR DOF IN COIL

  Allsel,All

  CSYS,1

  NSEL,S,LOC,X,12*S

  SF,ALL,INF

  NSEL,S,LOC,X,0

  D,ALL,AZ,0

 

! Applying loads;

  /SOLU

  ANTYPE,HARM

  HARFRQ,60

  Asel,S,,,1

  ESLA,S

  !ESEL,S,MAT,,2

  BFE,ALL,VLTG,,12/2        ! 12 VOLT LOAD

  Asel,S,,,7

  ESLA,S

  BFE,ALL,VLTG,,12/2

  Allsel,ALL

  SOLVE

 

 /Post1

   Esel,s,Mat,,2    !Power winding;

   NSLE,S,1 

   *Get,N0,Node,0,Num,Min   !Node N0 inside power winding;

   Set,1  

   *Get,I1,Node,N0,Curr     !Real parts of current;

   Set,,,,1

   *Get,I2,Node,N0,Curr     !Image parts of current;

   Ipw=SQRT(I1*I1+I2*I2)

 

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