In[]:=
Eq1=-
1
L1
*
v
C1c
-
1
L1
*
4
π
*
v
CF
*
(
i
L1c
+
i
L2c
)
2
(
i
L1s
+
i
L2s
)
+
2
(
i
L1c
+
i
L2c
)
-
ω
s
*
i
L1s
0;​​Eq2=
1
L1
*
v
g
*
4
π
-
1
L1
v
C1s
-
1
L1
*
4
π
*
v
CF
*
(
i
L1s
+
i
L2s
)
2
(
i
L1s
+
i
L2s
)
+
2
(
i
L1c
+
i
L2c
)
+
ω
s
*
i
L1c
0;​​Eq3=-
1
L2
*
v
C1c
-
1
L2
*
4
π
*
v
CF
*
(
i
L1c
+
i
L2c
)
2
(
i
L1s
+
i
L2s
)
+
2
(
i
L1c
+
i
L2c
)
-
ω
s
*
i
L2s
0;​​Eq4=-
1
L2
*
v
C1s
-
1
L2
*
4
π
*
v
CF
*
(
i
L1s
+
i
L2s
)
2
(
i
L1s
+
i
L2s
)
+
2
(
i
L1c
+
i
L2c
)
+
ω
s
*
i
L2c
0;​​Eq5=
1
C1
*
i
L1c
+
1
C1
*
i
L2c
-
ω
s
*
v
C1s
0;​​Eq6=
1
C1
*
i
L1s
+
1
C1
*
i
L2s
+
ω
s
*
v
C1c
0;​​Eq7=
1
CF
*
2
π
*
2
(
i
L1s
+
i
L2s
)
+
2
(
i
L1c
+
i
L2c
)
-
1
CF
*
v
CF
Rload
0;
In[]:=
Sol1=Solve[{Eq1,Eq2,Eq3,Eq4,Eq5,Eq6,Eq7},{
i
L1c
,
i
L1s
,
i
L2c
,
i
L2s
,
v
C1c
,
v
C1s
,
v
CF
},Reals]//Simplify
Out[]=

i
L1c
-
2(L2(1-36C1L2)
4
π
+2304
2
C1
L2
2
Rload
+L1(
2
(1-36C1L2)
4
π
+2304
2
C1
2
Rload
))
v
g
3π(
2
L2
(
4
π
+2304
2
C1
2
Rload
)+2L1L2((1-36C1L2)
4
π
+2304
2
C1
2
Rload
)+
2
L1
(
2
(1-36C1L2)
4
π
+2304
2
C1
2
Rload
))
,
i
L1s

1152
2
C1
2
L2
πRload
v
g
2
L2
(
4
π
+2304
2
C1
2
Rload
)+2L1L2((1-36C1L2)
4
π
+2304
2
C1
2
Rload
)+
2
L1
(
2
(1-36C1L2)
4
π
+2304
2
C1
2
Rload
)
,
i
L2c

2(L1(1-36C1L2)
4
π
+2304
2
C1
L1
2
Rload
+L2(
4
π
+2304
2
C1
2
Rload
))
v
g
3π(
2
L2
(
4
π
+2304
2
C1
2
Rload
)+2L1L2((1-36C1L2)
4
π
+2304
2
C1
2
Rload
)+
2
L1
(
2
(1-36C1L2)
4
π
+2304
2
C1
2
Rload
))
,
i
L2s

1152
2
C1
L1L2πRload
v
g
2
L2
(
4
π
+2304
2
C1
2
Rload
)+2L1L2((1-36C1L2)
4
π
+2304
2
C1
2
Rload
)+
2
L1
(
2
(1-36C1L2)
4
π
+2304
2
C1
2
Rload
)
,
v
C1c
-
192C1L2(L1+L2)πRload
v
g
2
L2
(
4
π
+2304
2
C1
2
Rload
)+2L1L2((1-36C1L2)
4
π
+2304
2
C1
2
Rload
)+
2
L1
(
2
(1-36C1L2)
4
π
+2304
2
C1
2
Rload
)
,
v
C1s
-
4L2(-L2+L1(-1+36C1L2))
3
π
v
g
2
L2
(
4
π
+2304
2
C1
2
Rload
)+2L1L2((1-36C1L2)
4
π
+2304
2
C1
2
Rload
)+
2
L1
(
2
(1-36C1L2)
4
π
+2304
2
C1
2
Rload
)
,
v
CF
48Rload
2
C1
2
L2
2
v
g
2
L2
(
4
π
+2304
2
C1
2
Rload
)+2L1L2((1-36C1L2)
4
π
+2304
2
C1
2
Rload
)+
2
L1
(
2
(1-36C1L2)
4
π
+2304
2
C1
2
Rload
)
