Power Electronics Circuits Devices and Applications 4th Edition Rashid Solutions Manual PDF Free
Power Electronics Circuits Devices and Applications 4th Edition Rashid Solutions Manual PDF Free
Power Electronics Circuits Devices and Applications 4th Edition Rashid Solutions Manual PDF Free
eu/Power-Electronics-Circuits-Devices-and-Applications-4th-Edition-Rashid-Solutions-Manual
( a) Eq. (2.10)
2
QRR := 0.5⋅ di_dt⋅ trr 6 3
QRR⋅ 10 = 1 × 10 μC
( b) Eq. (2-11)
IRR := 2⋅ QRR⋅ di_dt IRR = 400 A
Prob 2.2
−6 6 A
trr := 5⋅ 10 s Ifall_rate := 800⋅ 10 SF := 0.5
s
trr
ta := −6
1 + SF ta = 3.333 × 10
−6
tb := SF⋅ ta tb = 1.667 × 10
IRR := Ifall_rate⋅ ta 3
IRR = 2.667 × 10
( )
1
QRR := ⋅I ⋅ t + t 6 3
2 RR a b QRR⋅ 10 = 6.667 × 10
μC
Using Eq. (2-6),
( b) 3
IRR := Ifall_rate⋅ ta IRR = 2.667 × 10
Prob 2.3
−6
trr := 5⋅ 10 SF := 0.5
trr
ta := −6
1 + SF ta = 3.333 × 10
−6
tb := SF⋅ ta tb = 1.667 × 10
1
m := ⋅t ⋅t − 12
2 a rr m = 8.333 × 10
QRR ( x) := m⋅ x
0.008
Charge storage
0.006
QRR ( x)
0.004
0.002
0
2 .10 4 .10 6 .10 8 .10 1 .10
8 8 8 8 9
x
di/dt
IRR ( x) := ta⋅ x
3000
Charge storage
IRR ( x)
2000
1000
0
1 .10 2 .10 3 .10 4 .10 5 .10 6 .10 7 .10 8 .10 9 .10 1 .10
8 8 8 8 8 8 8 8 8 9
x
di/dt
−3
Prob 2.5 VT := 25.8⋅ 10
VD2 := 1.6 VD1 := 1.2 ID2 := 1500 ID1 := 100
Prob 2-7
−3 −3
IS1 := 20⋅ 10 IS2 := 35⋅ 10
( a)
VD1
IR1 := IR1 = 0.022
R1
Using Eq. (2-13),
( b) IR2 := IS1 + IR1 − IS2 −3
IR2 = 7 × 10
VD2
5
R2 := R2 = 3.143 × 10
IR2
Prob 2.11
IT := 300 VD := 2.8
IT
I1 := I1 = 150
2
I2 := I1 I2 = 150
VD − VD1
−3
R1 := R1 = 9.333 × 10
I1
VD − VD2 −3
R2 := R2 = 3.333 × 10
I2
IT
I1 :=
2
Prob 2-13 3 3 3
R1 := 50⋅ 10 R2 := 50⋅ 10 VS := 10⋅ 10
−3 −3
Is1 := 20⋅ 10 Is2 := 30⋅ 10
Prob 2-15
Ip := 500 −6
f := 500 t1 := 100⋅ 10
1
T := 3
f T⋅ 10 = 2
t
Ip ⌠ 1
IAVG := ⋅ ⎮ sin ( 2⋅ π ⋅ f ⋅ t) dt IAVG = 3.895
T ⌡0
1 t
1 ⌠
⋅ ⎮ sin ( 2⋅ π ⋅ f ⋅ t) dt
2
IRMS := Ip IRMS = 20.08
T ⌡0
Prob 2-16
−6
IRMS := 120 f := 500 t1 := 100⋅ 10
1
T := 3
f T⋅ 10 = 2
IRMS 3
Ip := Ip = 2.988 × 10
t
1
1 ⌠
⋅ ⎮ sin ( 2⋅ π ⋅ f ⋅ t) dt
2
T ⌡0
1 t
1 ⌠
⋅ ⎮ ( sin ( 2⋅ π ⋅ f ⋅ t) ) dt
2
IRMS := Ip IRMS = 120
T ⌡0
t
Ip ⌠ 1
IAVG := ⋅ ⎮ sin ( 2⋅ π ⋅ f ⋅ t) dt IAVG = 23.276
T ⌡0
Prob 2-17
−6
IAVG := 100 f := 500 t1 := 100⋅ 10
1
T := 3
T⋅ 10 = 2
f
IAVG
Ip :=
⎛ ⌠ t1 ⎞ Ip = 1.284 × 10
4
⎜1 ⎟
⋅ ⎮ sin ( 2⋅ π ⋅ f ⋅ t) dt
⎜T ⌡ ⎟
⎝ 0 ⎠
t
Ip ⌠ 1
IAVG := ⋅ ⎮ sin ( 2⋅ π ⋅ f ⋅ t) dt
T ⌡0 IAVG = 100
1 t
1 ⌠
⋅ ⎮ ( sin ( 2⋅ π ⋅ f ⋅ t) ) dt
2
IRMS := Ip
T ⌡0 IRMS = 515.55
Prob 2-18
−6 −6 −6 −6
t1 := 100⋅ 10 t2 := 200⋅ 10 t3 := 400⋅ 10 t4 := 800⋅ 10
−3
t5 := 1⋅ 10 f := 250 Ia := 150 Ib := 100 Ip := 300
t2 − t1 ( )
( a) I
AVG := I ⋅ f
a 3 b⋅ t + I ⋅ f ⋅ t −
5 4t + 2 ⋅ I −
p aI ⋅(f ⋅
π
) ( )
IAVG = 22.387
( b) ( t2 − t1 )
(
Ir1 := Ip − Ia ⋅ f ⋅ ) 2 Ir1 = 16.771
2 2 2
Irms := Ir1 + Ir2 + Ir3 Irms = 55.057
Prob 2-19
−6 −6 −6 −6
t1 := 100⋅ 10 t2 := 200⋅ 10 t3 := 400⋅ 10 t4 := 800⋅ 10
−3
t5 := 1⋅ 10 f := 250 Ia := 150 Ib := 100 Ip := 150
t2 − t1 ( )
( a) I
AVG := I ⋅ f
a 3 b⋅ t + I ⋅ f ⋅ t −
5 4t + 2 ⋅ I −
p aI (
⋅ f ⋅
π
) ( ) IAVG = 20
( b) ( t2 − t1)
(
Ir1 := Ip − Ia ⋅ ) f⋅
2 Ir1 = 0
(
Ir3 := Ib⋅ f ⋅ t5 − t4 ) Ir3 = 22.361
2 2 2
Irms := Ir1 + Ir2 + Ir3 Irms = 52.44
Prob 2-20
−6 −6 −6 −6
t1 := 100⋅ 10 t2 := 200⋅ 10 t3 := 400⋅ 10 t4 := 800⋅ 10
−3
t5 := 1⋅ 10 f := 250 Ia := 150 Ib := 100 Ip := 150
Irms := 180
(
Ir3 := Ib⋅ f ⋅ t5 − t4 ) Ir3 = 22.361
2 2 2
Ir1 := Irms − Ir2 − Ir3 Ir1 = 172.192
( a) Ir1
3
Ip := + Ia Ip = 1.69 × 10
f⋅
( t2 − t1)
2
( t2 − t1)
(
Ir1 := Ip − Ia ⋅ f ⋅ ) 2 Ir1 = 172.192
2 2 2
Irms := Ir1 + Ir2 + Ir3 Irms = 180
t2 − t1 ( )
( b) I
(
AVG := Ia⋅ f ⋅ t3 + Ib⋅ f ⋅ t5 − t4 + 2⋅ Ip − Ia ⋅ f ⋅ ) π
( )
IAVG = 44.512
Prob 2-21
−6 −6 −6 −6
t1 := 100⋅ 10 t2 := 200⋅ 10 t3 := 400⋅ 10 t4 := 800⋅ 10
−3
t5 := 1⋅ 10 f := 250 Ia := 150 Ib := 100 Ip := 150
IAVG := 180
(
Iav2 := Ib⋅ f ⋅ t5 − t4 ) Iav2 = 5
Iav3
Ip := + Ia
⎡ ( t2 − t1 ⎤ )⎥ Ip = 1.02 × 10
4
⎢ 2f ⋅
⎣ π ⎦
( t2 − t1)
( ) (
IAVG := Ia⋅ f ⋅ t3 + Ib⋅ f ⋅ t5 − t4 + 2⋅ Ip − Ia ⋅ f ⋅ ) π
IAVG = 180
( b)
( t2 − t1)
(
Ir1 := Ip − Ia ⋅ f ⋅ ) 2 Ir1 = 1.124 × 10
3
(
Ir3 := Ib⋅ f ⋅ t5 − t4 ) Ir3 = 22.361
2 2 2 3
Irms := Ir1 + Ir2 + Ir3 Irms = 1.125 × 10
Prob 2-22 −6 −6
VS := 220 R := 4.7 C := 10⋅ 10 t := 2⋅ 10
−5
τ := R⋅ C τ = 4.7 × 10
Using Eq. (2-20),
VS
( a) Ip :=
R Ip = 46.809
( b) VO := VS
2
W := 0.5⋅ C⋅ VO W = 0.242
⎛ − t⎞
⎜ τ ⎟
( c) Vc := VS⋅ ⎝ 1 − e ⎠ Vc = 9.165
Prob 2-24 −3
VS := 110 R := 4.7 L := 6.5⋅ 10
R
τ := τ = 723.077
L
Using Eq. (2-25),
VS
( a) ID :=
R ID = 23.404
( b) IO := ID
2
W := 0.5⋅ L⋅ IO W = 1.78
Prob 2-25 −3
VS := 220 R := 4.7 L := 6.5⋅ 10
R
τ := τ = 723.077
L
Using Eq. (2-25),
VS
( a) ID :=
R ID = 46.809
( b) IO := ID
2
W := 0.5⋅ L⋅ IO W = 7.121
Prob 2-29
−6 −6
VS := 110 C := 10⋅ 10 L := 50⋅ 10
Using Eq. (2-32),
C
( a) Ip := VS⋅ Ip = 49.193
L
−5
( b) t1 := π ⋅ L⋅ C t1 = 7.025 × 10
( c) VC := 2⋅ VS VC = 220
Example 2.31
−3 −6 Vs := 220
L := 4⋅ 10 C := 0.05⋅ 10
( a) R
R := 160 α := 4
2⋅ L α = 2 × 10
1 4
ω o := ω o = 7.071 × 10
L⋅ C
2 2 4
ω r := ωo − α ω r = 6.782 × 10
Vs
A2 :=
ω r⋅ L A2 = 0.811
π 6
( b) t1 := t1⋅ 10 = 46.32 μs
ωr
vc ( t) := e
− α⋅t
⋅ A2⋅ sin ω r⋅ t( )
Probl 2-32
−3 −6 Vs := 220
L := 2⋅ 10 C := 0.5⋅ 10
( a) R
R := 160 α := 4
2⋅ L α = 4 × 10
1
ω o := 4
ω o = 3.162 × 10 α > ωo
L⋅ C
2 2
s1 := −α + α − ωo 4
s1 = −1.551 × 10
2 2
s2 := −α − α − ωo 4
s2 = −6.449 × 10
at t = 0 i := 0 0 ≡ A1 + A2
Vs
at t = 0 di := 0 ≡ A1⋅ s1 + A2⋅ s2
L
Vs
A1 :=
(
L⋅ s1 − s2 ) A1 = 2.245
A2 := −A1 A2 = −2.245
( )
( b)
− α⋅t s1⋅ t s2⋅ t
vc ( t) := e ⋅ A1⋅ e −e
Probl 2-33
−3 −6 Vs := 220
L := 2⋅ 10 C := 0.05⋅ 10
( a) R
R := 16 α := 3
2⋅ L α = 4 × 10
1 5
ω o := ω o = 1 × 10
L⋅ C
2 2 4
ω r := ωo − α ω r = 9.992 × 10
Vs
A2 :=
ω r⋅ L A2 = 1.101
π 6
( b) t1 := t1⋅ 10 = 31.441 μs
ωr
vc ( t) := e
− α⋅t
( )
⋅ A2⋅ sin ω r⋅ t
Prob 2-34 −6
VS := 110 −3 t1 := 100⋅ 10
L := 1⋅ 10
VS
IO := ⋅t IO = 11
L 1
2 W = 7.121
W := 0.5⋅ L⋅ IO
Example 2.36
−6 −6
Vs := 220 Lm := 450⋅ 10 N2 := 100 t1 := 50⋅ 10
N1 := 10
N2
a :=
N1 a = 10
Using Eq. (2-52),
3
( a) vD := Vs⋅ ( 1 + a) vD = 2.42 × 10
Example 2.37
−6 −
Vs := 220 Lm := 250⋅ 10 N2 := 10 t1 := 50⋅ 10
N1 := 10
N2
a :=
N1 a=1
Io
Io_peak := Io_peak = 44
( c) a
Using Eq. (2-58),
a⋅ Lm⋅ Io
( d) 6
t2 := t2⋅ 10 = 50 μs
Vs
1 2
( e) W := ⋅ Lm⋅ Io
2 W = 0.242 J
Example 2.38
−6
Vs := 220 Lm := 250⋅ 10 N2 := 1000 −6
N1 := 10 t1 := 50⋅ 10
N2
a :=
N1 a = 100
( a) vD := Vs⋅ ( 1 + a) 4
vD = 2.222 × 10
Vs
( b) Io := ⋅t
Lm 1 Io = 44
Io
Io_peak :=
( c) a Io_peak = 0.44
a⋅ Lm⋅ Io
( d) t2 :=
Vs 6
t2⋅ 10 = 5 × 10
3 μs
1 2
( e) W := ⋅ Lm⋅ Io J
2 W = 0.242