traiannp

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Hi,

 

Can anyone help me to solve this system of equations in Maple?

 

solve({
(-(1*Rfd*(1-(Ladssec/Lfd)+((((1.007033 +1*(Laqssec+Ll))*Ladssec)/(((Ra+0.04527646)^2+(1.007033 +1*(Ladssec+Ll))*(1.007033 +1*(Laqssec+Ll)))*Lfd)) *Ladssec)))/(Lfd))=-0.0069
,(-(1*Rfd*(-(Ladssec/Lfd)+((((1.007033 +1*(Laqssec+Ll))*Ladssec)/(((Ra+0.04527646)^2+(1.007033 +1*(Ladssec+Ll))*(1.007033 +1*(Laqssec+Ll)))*L1d)) *Ladssec)))/(Lfd))=0.002689
,(-(1*Rfd*(-((Ra+0.04527646)/((Ra+0.04527646)^2+(1.007033 +1*(Ladssec+Ll))*(1.007033 +1*(Laqssec+Ll))))*(Laqssec/L1q))*Ladssec)/(Lfd))=0.00002647
,(-(1*Rfd*(-((Ra+0.04527646)/((Ra+0.04527646)^2+(1.007033 +1*(Ladssec+Ll))*(1.007033 +1*(Laqssec+Ll))))*(Laqssec/L2q)) *Ladssec)/(Lfd))=-0.00001362

,(-(1*R1d*(-(Ladssec/Lfd)+((((1.007033 +1*(Laqssec+Ll))*Ladssec)/(((Ra+0.04527646)^2+(1.007033 +1*(Ladssec+Ll))*(1.007033 +1*(Laqssec+Ll)))*Lfd))*Ladssec)))/(L1d))=0.1052
,(-(1*R1d*(1-(Ladssec/Lfd)+((((1.007033 +1*(Laqssec+Ll))*Ladssec)/(((Ra+0.04527646)^2+(1.007033 +1*(Ladssec+Ll))*(1.007033 +1*(Laqssec+Ll)))*L1d)) *Ladssec)))/(L1d))=-0.2585
,(-(1*R1d*(-((Ra+0.04527646)/((Ra+0.04527646)^2+(1.007033 +1*(Ladssec+Ll))*(1.007033 +1*(Laqssec+Ll))))*(Laqssec/L1q))*Ladssec)/(L1d))=0.0009122
,(-(1*R1d*(-((Ra+0.04527646)/((Ra+0.04527646)^2+(1.007033 +1*(Ladssec+Ll))*(1.007033 +1*(Laqssec+Ll))))*(Laqssec/L2q)) *Ladssec)/(L1d))=-0.0005093

,(-(1*R1q*(((Ra+0.04527646)/((Ra+0.04527646)^2+(1.007033 +1*(Ladssec+Ll))*(1.007033 +1*(Laqssec+Ll))))*(Ladssec/Lfd))*Laqssec)/(L1q))=-0.000292
,(-(1*R1q*(-((Ra+0.04527646)/((Ra+0.04527646)^2+(1.007033 +1*(Ladssec+Ll))*(1.007033 +1*(Laqssec+Ll))))*(Ladssec/L1d))*Laqssec)/(L1q))=0.0008507
,(-(1*R1q*(1-(Laqssec/L1q)+((((1.007033 +1*(Ladssec+Ll))*Laqssec)/(((Ra+0.04527646)^2+(1.007033 +1*(Ladssec+Ll))*(1.007033 +1*(Laqssec+Ll)))*L1q))*Laqssec)))/(L1q))=-0.04423
,(-(1*R1q*(-(Laqssec/L2q)+((((1.007033 +1*(Ladssec+Ll))*Laqssec)/(((Ra+0.04527646)^2+(1.007033 +1*(Ladssec+Ll))*(1.007033 +1*(Laqssec+Ll)))*L2q))*Laqssec)))/(L1q))=0.0003831

,(-(1*R2q*(((Ra+0.04527646)/((Ra+0.04527646)^2+(1.007033 +1*(Ladssec+Ll))*(1.007033 +1*(Laqssec+Ll))))*(Ladssec/Lfd))*Laqssec)/(L2q))=-0.001785
,(-(1*R2q*(-((Ra+0.04527646)/((Ra+0.04527646)^2+(1.007033 +1*(Ladssec+Ll))*(1.007033 +1*(Laqssec+Ll))))*(Ladssec/L1d))*Laqssec)/(L2q))=-0.03134
,(-(1*R2q*(-(Laqssec/L1q)+((((1.007033 +1*(Ladssec+Ll))*Laqssec)/(((Ra+0.04527646)^2+(1.007033 +1*(Ladssec+Ll))*(1.007033 +1*(Laqssec+Ll)))*L1q))*Laqssec)))/(L2q))=4.239
,(-(1*R2q*(1-(Laqssec/L2q)+((((1.007033 +1*(Ladssec+Ll))*Laqssec)/(((Ra+0.04527646)^2+(1.007033 +1*(Ladssec+Ll))*(1.007033 +1*(Laqssec+Ll)))*L2q))*Laqssec)))/(L2q))=-4.868

}, {L1d, L1q, Ladssec, Laqssec, Lfd, R1d, R1q, Rfd, Ra, Ll},useassumptions)

assuming Lfd ~= 0.1632, R1d~=0.0269, L1d~=0.0750, L1q~=-0.1350, Ladssec~=0.0500, Laqssec~= -0.1500, Rfd~=0.0016, R1q~= 0.0215, Ra~=0.005, Ll~=0.15

Hi,

 

I have a system of equations for which I want to get a solution around an initial guess, unfortunatly I cannot succed it. Here is the system and the initial guess

 

solve({(-(((1/((0.005+0.009)^2+(0.072+1*(Ladssec+Ll))*(0.072+1*(Laqssec+Ll))))*((0.005+0.009)*sin(-0.785)+(0.072+1*(Ladssec+Ll))*cos(-0.785)))*((Ladssec*(-id0+(0.953/Lfd)+(0.849/L1d)))+Laqssec*id0)-((1/((0.005+0.009)^2+(0.072+1*(Ladssec+Ll))*(0.072+1*(Laqssec+Ll))))*((0.072+1*(Laqssec+Ll))*sin(-0.785)-(0.005+0.009)*cos(-0.785)))*((Laqssec*(-iq0+(0.468/L1q)))+Ladssec*iq0))/(2*2.5))=-1.7858
,(-((((0.005+0.009)/((0.005+0.009)^2+(0.072+1*(Ladssec+Ll))*(0.072+1*(Laqssec+Ll))))*(Ladssec/Lfd))*((Ladssec*(-id0+(0.953/Lfd)+(0.849/L1d)))+Laqssec*id0)-(((0.072+1*(Laqssec+Ll))*Ladssec)/(((0.005+0.009)^2+(0.072+1*(Ladssec+Ll))*(0.072+1*(Laqssec+Ll)))*Lfd))*((Laqssec*(-iq0+(0.468/L1q)))+Ladssec*iq0)+((Ladssec*iq0)/Lfd)) /(2*2.5))=0.1036
,(-((-((0.005+0.009)/((0.005+0.009)^2+(0.072+1*(Ladssec+Ll))*(0.072+1*(Laqssec+Ll))))*(Ladssec/L1d))*((Ladssec*(-id0+(0.953/Lfd)+(0.849/L1d)))+Laqssec*id0)-(((0.072+1*(Laqssec+Ll))*Ladssec)/(((0.005+0.009)^2+(0.072+1*(Ladssec+Ll))*(0.072+1*(Laqssec+Ll)))*L1d))*((Laqssec*(-iq0+(0.468/L1q)))+Ladssec*iq0)+((Ladssec*iq0)/L1d)) /(2*2.5))=0.2279
,(-((((0.072+1*(Ladssec+Ll))*Laqssec)/(((0.005+0.009)^2+(0.072+1*(Ladssec+Ll))*(0.072+1*(Laqssec+Ll)))*L1q))*((Ladssec*(-id0+(0.953/Lfd)+(0.849/L1d)))+Laqssec*id0)-(-((0.005+0.009)/((0.005+0.009)^2+(0.072+1*(Ladssec+Ll))*(0.072+1*(Laqssec+Ll))))*(Laqssec/L1q))*((Laqssec*(-iq0+(0.468/L1q)))+Ladssec*iq0)-((Laqssec*id0)/L1q)) /(2*2.5))=-2.3313

,(-(1*Rfd*((1/((0.005+0.009)^2+(0.072+1*(Ladssec+Ll))*(0.072+1*(Laqssec+Ll))))*((0.072+1*(Laqssec+Ll))*sin(-0.785)-(0.005+0.009)*cos(-0.785)))*Ladssec)/(Lfd))=0.0023
,(-(1*Rfd*(1-(Ladssec/Lfd)+((((0.072+1*(Laqssec+Ll))*Ladssec)/(((0.005+0.009)^2+(0.072+1*(Ladssec+Ll))*(0.072+1*(Laqssec+Ll)))*Lfd)) *Ladssec)))/(Lfd))=-0.0054
,(-(1*Rfd*(-(Ladssec/Lfd)+((((0.072+1*(Laqssec+Ll))*Ladssec)/(((0.005+0.009)^2+(0.072+1*(Ladssec+Ll))*(0.072+1*(Laqssec+Ll)))*L1d)) *Ladssec)))/(Lfd))= 0.0018
,(-(1*Rfd*(-((0.005+0.009)/((0.005+0.009)^2+(0.072+1*(Ladssec+Ll))*(0.072+1*(Laqssec+Ll))))*(Laqssec/L1q))*Ladssec)/(Lfd))=5.8369e-04

,(-(1*R1d*((1/((0.005+0.009)^2+(0.072+1*(Ladssec+Ll))*(0.072+1*(Laqssec+Ll))))*((0.072+1*(Laqssec+Ll))*sin(-0.785)-(0.005+0.009)*cos(-0.785)))*Ladssec)/(L1d))=0.1303
,(-(1*R1d*(-(Ladssec/Lfd)+((((0.072+1*(Laqssec+Ll))*Ladssec)/(((0.005+0.009)^2+(0.072+1*(Ladssec+Ll))*(0.072+1*(Laqssec+Ll)))*Lfd))*Ladssec)))/(L1d))=0.1157
,(-(1*R1d*(1-(Ladssec/Lfd)+((((0.072+1*(Laqssec+Ll))*Ladssec)/(((0.005+0.009)^2+(0.072+1*(Ladssec+Ll))*(0.072+1*(Laqssec+Ll)))*L1d)) *Ladssec)))/(L1d))= -0.3192
,(-(1*R1d*(-((0.005+0.009)/((0.005+0.009)^2+(0.072+1*(Ladssec+Ll))*(0.072+1*(Laqssec+Ll))))*(Laqssec/L1q))*Ladssec)/(L1d))=0.0333


,(-(1*R1q*((1/((0.005+0.009)^2+(0.072+1*(Ladssec+Ll))*(0.072+1*(Laqssec+Ll))))*((0.005+0.009)*sin(-0.785)+(0.072+1*(Ladssec+Ll))*cos(-0.785))) *Laqssec)/(L1q))=-0.1323
,(-(1*R1q*(((0.005+0.009)/((0.005+0.009)^2+(0.072+1*(Ladssec+Ll))*(0.072+1*(Laqssec+Ll))))*(Ladssec/Lfd))*Laqssec)/(L1q))=-0.0044
,(-(1*R1q*(-((0.005+0.009)/((0.005+0.009)^2+(0.072+1*(Ladssec+Ll))*(0.072+1*(Laqssec+Ll))))*(Ladssec/L1d))*Laqssec)/(L1q))= 0.0051
,(-(1*R1q*(1-(Laqssec/L1q)+((((0.072+1*(Ladssec+Ll))*Laqssec)/(((0.005+0.009)^2+(0.072+1*(Ladssec+Ll))*(0.072+1*(Laqssec+Ll)))*L1q))*Laqssec)))/(L1q))=-0.2349}, {L1d, L1q, Ladssec, Laqssec, Lfd, R1d, R1q, Rfd},useassumptions)

Lfd ~=0.233, R1d~=0.0848, L1d~=0.2, L1q~=-0.09, Ladssec~=0.099, Laqssec~=-0.1, Rfd~=0.00173, R1q~=0.0129

Hello,

 

I have the following system of equations to solve which is quite big.. Does anyone know how I can solve it faster or in a more simple way?

Thanks 

solve({(-(1/((0.002+0.001)^2+(0.001+1*(e+p))*(0.001+1*(j+p))))*((0.002+0.001)*sin(-0.39)-(0.001+1*(e+p))*cos(-0.39)*(e*(-m+(0.68/d)+(0.599/g))+j*m)-(1/((0.002+0.001)^2+(0.001+1*(e+p))*(0.001+1*(j+p))))*((0.001+1*(j+p))*sin(-0.39)-(0.002+0.001)*cos(-0.39))*(j*(-n+(0/i)+(-0.73/l))+e*n...

 

Hi,

 

Does anyone know why I cannot solve the following system of equations?

 

solve({(-(0.1e-2+e+p)*j*(e*(-m+.68/d+.599/g)+j*m)/(((0.2e-2+0.1e-2)^2+(0.1e-2+e+p)*(0.1e-2+j+p))*i)+(0.2e-2+0.1e-2)*j*(j*(-n+0*(1/i)-.73/l)+e*n)/(((0.2e-2+0.1e-2)^2+(0.1e-2+e+p)*(0.1e-2+j+p))*i)-j*m/i)/(2*10) = -0.3e-2, (-(0.1e-2+e+p)*j*(e*(-m+.68/d+.599/g)+j*m)/(((0.2e-2+0.1e-2)^2+(0.1e-2+e+p)*(0.1e-2+j+p))*l)+(0.2e-2+0.1e-2)*j*(j*(-n+0*(1/i...

Hi,

 

I have a 12 vectors represented by magnitude and phase, written in two separate columns in an excel file. First column is the magnitude and the second one the phase. And I want to plot this vectors in a polarpolt..Any ideas?

 

Thanks 

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