I was just wondering if there is another way e.g. by using the following equations:

sin(delta1-delta2)--> (P1-G11*(E1)^2-D1*w1)/B12=(D2*w2-P2+G22*(E2)^2)/B21

cos(delta1-delta2)--> (a1*E1-u1)/(b1*E2)=(a2*E2-u2)/(b2*E1)

i have just eliminated sin and cos of deltas. if x=delta1-delta2, we could also make equations like

 sin^2(x)+cos^2(x)=0

and come up with as many equations. but for me its not happening.

I was just wondering if there is another way e.g. by using the following equations:

sin(delta1-delta2)--> (P1-G11*(E1)^2-D1*w1)/B12=(D2*w2-P2+G22*(E2)^2)/B21

cos(delta1-delta2)--> (a1*E1-u1)/(b1*E2)=(a2*E2-u2)/(b2*E1)

i have just eliminated sin and cos of deltas. if x=delta1-delta2, we could also make equations like

 sin^2(x)+cos^2(x)=0

and come up with as many equations. but for me its not happening.

thanks but i can't keep delta1-delta2=0

Is it possible to solve them by rearranging my equations so that i eliminate delta1-delta2 e.g.

sin(delta1-delta2)--> (P1-G11*(E1)^2-D1*w1)/B12=(D2*w2-P2+G22*(E2)^2)/B21

cos(delta1-delta2)--> (a1*E1-u1)/(b1*E2)=(a2*E2-u2)/(b2*E1)

thanks but i can't keep delta1-delta2=0

Is it possible to solve them by rearranging my equations so that i eliminate delta1-delta2 e.g.

sin(delta1-delta2)--> (P1-G11*(E1)^2-D1*w1)/B12=(D2*w2-P2+G22*(E2)^2)/B21

cos(delta1-delta2)--> (a1*E1-u1)/(b1*E2)=(a2*E2-u2)/(b2*E1)

Dear Alec, sorry for inputing images. I just used normal input method provided to me and I thought when i upload the system would automatically check the file uploaded.

However, this is my system. I have put x=delta1-delta2. My variables are E1,E2,delta1,delta2,w1 and w2. u1 and u2 are my inputs. I have tried using the solve command but it doesn't give me w1 as a function of just u1 and u2. same goes for w2.

Thank you for your help

a1:= 17.7122

b1:= 10.2527

B12:= 47.3210

G11:= 30.7858

P1:= 52.2526

D1:=1

a2:= 14.6054

b2:= 10.1402

B21:= 33.8007

G22:= 19.0708

P2:= 48.4902

D2:=0.2

D1*w1=P1-G11*(E1)^2-B12*E1*E2*sin(x)

a1*E1=b1*E2*cos(x)+u1

D2*w2=P2-G22*(E2)^2+B21*E1*E2*sin(x)

a2*E2=b2*E1*cos(x)+u2

Dear Alec, sorry for inputing images. I just used normal input method provided to me and I thought when i upload the system would automatically check the file uploaded.

However, this is my system. I have put x=delta1-delta2. My variables are E1,E2,delta1,delta2,w1 and w2. u1 and u2 are my inputs. I have tried using the solve command but it doesn't give me w1 as a function of just u1 and u2. same goes for w2.

Thank you for your help

a1:= 17.7122

b1:= 10.2527

B12:= 47.3210

G11:= 30.7858

P1:= 52.2526

D1:=1

a2:= 14.6054

b2:= 10.1402

B21:= 33.8007

G22:= 19.0708

P2:= 48.4902

D2:=0.2

D1*w1=P1-G11*(E1)^2-B12*E1*E2*sin(x)

a1*E1=b1*E2*cos(x)+u1

D2*w2=P2-G22*(E2)^2+B21*E1*E2*sin(x)

a2*E2=b2*E1*cos(x)+u2