א
א
٢٠٦
٢٠٦
א
א
א
W،،אא،א
א א א אא א א א א
אאא،אאאאאא
אאאאא
אWאאאאאא
K אא
אאאאאאא
א ،א אא
א א א א א א א ،
א،אאאא
אאאאאאא אאאאא
אאא،א
Kאא،א
?א?? א ?אא
אאאאאאא
Kאאאאאאא
،א،אאאא
Kאאאאא
؛ א א א א
Kא
אאאא
٢٠٦
א
א
א
אאאאאאא
Kאאאאא،אא
Kאאאא
א، אאאא
אאאאאא،אא
אאאKא
א،אEFאKא
אKאאאא
אKאאא،
אKאאאאאא
אאאEאאFאאאא
אאKאאאא
אא،אא
،אאאאאאאא
אאאא אאאא
،UPS
אאאאאאאא
א،אאא،אאאא
Kאא
אאאאאא
אאא Kאאאא
Kאאאאאאא
،א אא אא
،אאאאאאאאאא
Kאאאא
٢٠٦
א
א
א
אאא،אאא אא
א،אאאאאא،
אK
אאאא
Kאאא
، א
אאאאאא
،אאאאאאא،אאאא
Kאאאאאאאא
،אאאאאאא
، אאאאאאאאא
אאא، א
Kאא
אא،אאאא
K אאאאאKאא
Kאאא
א ،אאאא
אא
،א
K אאאא ،אאא
אאאאאא
Kאאאא
Wאאאאא
Kאאא
Kאאאאאאא
Kאאאאא
אאאאאא
Kאאאא
Kאאאאא
•
•
•
•
•
•
אאאא
א
١
אאאא
אא
٢٠٦
אאאא
א
א
א
אא،אאאאאאWאא
א אאK אאאאא
K
WאאאWאא
Kאאאאא אK١
Kאאאא K٢
Kאא אK٣
Kא אK٤
Kאא K٥
K٪٩٠אאWאאא
K٩Wאא
KWאא
K١ JאאאאWאא
-١-
אא
٢٠٦
אאאא
א
א
א
אאאאWאא
Semiconductors Used in Power Electronic Circuits
،אאאאא١٩٤٨
אא
א١٩٥٨אאK١٩٥٦אאא
אאאאאאאK
אא،אאאאאאא
Kא
אאאאא
אאאKאאאא
Kאאאאאאא
Power Electronic Circuits אא١ J١
،אאאאא
אא،אאאאאאא
K אאאאאא
،١ J١،?א?אאא
אF אאK אא
WאEא
•
Diode rectifiers (uncontrolled rectifiers)
•
ac-dc converters (controlled rectifiers)
•
ac-ac converters (ac voltage controllers)
•
dc-dc converters (dc choppers)
•
dc-ac converters (inverters)
-٢-
אאא
•
אאא
•
אא
•
אא
•
אא
•
אא
٢٠٦
אאאא
א
א
א
א١ J١
(uncontrolled rectifier)אEאFא١ J١ J١
،אאאאאאא
אאאאא، אאאא
K٢ J١אאKא
Fixed ac voltage
א
Uncontrolled rectifier
Fixed dc voltage
א
אא٢ J١
(Controlled rectifier)אEאFא٢ J١ J١
אא ،٣ J١
א،א אאא ،א
،אאאאאKאאאא
KאאאאKאא
Fixed ac voltage
א
Controlled rectifier
Variable dc voltage
א
٣ J١
-٣-
אא
٢٠٦
אאאא
א
א
א
(ac voltage controller)אא٣ J١ J١
، אאאא
،אאאאאא
،אאאא
אא א،٤ J١א
אאא אאאא
אאא،אאאKאא
Kאאאאא
Fixed ac voltage
Variable ac voltage
AC
Ac voltage controller
אא
א
א
אא٤ J١
(dc chopper)אא٤ J١ J١
אאאא
א אא
אאאאאאאאKאא
אא٥ J١،אאאא
אאאאKא
Kא
Fixed dc voltage
א
DC Dc chopper
אא
אא٥ J١
-٤-
Variable dc voltage
א
אא
٢٠٦
אאאא
א
א
א
(Inverter)א٥
J ١ J ١
א
אא אא
אK٦ J١אאא
א
،אאאא
K א אאא
אאאאאאאאאא
אאאאאאאאא
אאאאאK אא
אאאאא،אא
KUPS
Fixed dc voltage
א
Inverter
א
Variable ac voltage
א
א٦ J١
א אאאאאאא
אאאKאא
WאאK
Kאאאא J
Kאאאאא J
Kאאאא J
Kאאאאאאאא J
אא
אאאא
Kאאאאא
-٥-
אא
אאאא
٢٠٦
א
א
א
Power Electronic Elements א٢ J١
א،אאאאא
אאאאא
אאאאא
אא אKא
אאאKאא
٥ א
KאאאK٤٠٠٠א
Power diode אא٣ J١
،אאאאא
אא،א،א
P-Nאאאאא K(Freewheeling)א
PN
א(Anode)א،٧ J١א،אא
(A)א،٧ J١א،(Cathode)
אאאא،E٧ J١F(K)אEF
E אאFאאאK(Forward bias)
אאאאאאא
،(K) אEF (A)אאK١{٢אא
אK(Reverse bias)אאאא
אאא،(leakage current)אא
אאאאאאאK
،אאאאאEVBRFא
Kאאא٧ J١
-٦-
אא
אאאא
٢٠٦
א
א
א
EF
EF
EF
EF
אא٧ J١
،א(pracical)אאאא٨ J١
אא–(Ideal) hW
אאאא
K٨ J١אא J אאא
K(VAK)אאאא(IA)אאאא
אאKאא،אאא
W
General purpose diode אאאא J١
Fast recovery diode אא J٢
Schottky diode א J٣
-٧-
אא
אאאא
٢٠٦
א
א
א
אאאאא٨ J١
General purpose diode אאאא١ J٣ J١
١Fאאאאאאאאא
אאEאאFאאE
אאא ،٢٥א
אאא،אאא
K
אא
١٠٠٠אאאאא
אאאאא٩ J١K٣٠٠
Kאא
-٨-
אא
٢٠٦
אאאא
א
א
א
EPowerexFאאאא٩ J١
Fast recovery diode אאא٢ J٣ J١
،EאFאאP-Nאאאאא
(hole) EFאא–(recombination)א אא
KPN א J אאPNאEF
Kאאאא
אאאאאאאאאאאאא
אאK٥ אא
KEFאא
Kאא١٠ J١
-٩-
אא
אאאא
٢٠٦
א
א
א
EPowerexFאאא١٠ J١
Schottky diode א٣ J٣ J١
P-Nאאאאאאא
، אאא،אא
،P-Nאאאא
K
אאא P-Nא
(voltage blocking)א אא
،٣٠٠
،٢٠٠
א١١ J١K
אאאאא
K٣٠
- ١٠ -
אא
אאאא
٢٠٦
א
א
א
EF٣٠א١١ J١
Thyristor
א٤ J١
אא،אא
K אאKא
Silicon אאאא،אא
א
אאאאאK(SCR)Controlled Rectifier
Kאאאא
Thyristor construction and operation
א١ J٤ J١
pnpnאא
א K١٢ J١،J1,J2, J3(Junctions)
אא(p)אאK(G)אא(K)א(A)א
Kאאאאא١٢ J١
- ١١ -
אא
٢٠٦
אאאא
א
א
א
EF
EF
אא١٢ J١
אJ1,J3א،אא
(Reverse bias) אJ2א،(Forward bias)
אK(Leakage current)אאא
א K١٣ J١،(Forward blocking)א
Fאאאאאא
Eא
אJ2א،אא
אK
אJ1,J3א
K
אאא،(Reverse blocking)
Kא١٣ J١
אVAKאאאא
אאאאאאאא
אא אא
(Forward אאאK
K١٣ J١Kconducting)
- ١٢ -
אא
٢٠٦
אאאא
EF
א
א
EF
א
EF
א١٣ J١
Thyristor characteristics אא٢ J٤ J١
(IA) אא(VAK) אאאא
א١٤ J١Kאאאא
E אF אאKאאא
א אאKאא
אאאאאא אאאאא
KIBoא
VBoאאאא،אא،pnpn
אאאאאאא
אא אא אK١א
Kאא
אאFאאא
א،EVBoאאא
KIgאאא
K אאאאאא
אאאאא
KIH (holding current)אאאאא
Kאאאאאאא
אאVBRאאאאא
- ١٣ -
אא
אאאא
٢٠٦
א
א
א
אאאאאKא
Kאאא
אאאאאא
אאאאא،١٤ J١
אאא K
אאא
אאאאאא
Kא
אא١٤ J١
אאאא
אKאאVBoאאא
אאאאא
אאאKאאא،א
אאאFא
אאא
א،E א
אKאאאא
אאאKא
- ١٤ -
אא
٢٠٦
אאאא
א
א
א
אאאאאאא
א K(Latching current) IL אאאא
אאKאאאאאא
KIHאא
Thyristor firing א٣ J٤ J١
אILאאאא
א
אאאאK،א
א אאKאאאא
Kאאאאא
אאאאWאא J
אא،א
אאאאאאKא
אאKאאא،אאא
،Heat sinkאאאאאא
K١٥ J١
Heat sinksאא١٥ J١
- ١٥ -
אא
٢٠٦
אאאא
א
א
א
אאJ2אWא J
א J2אא،א
אאKאאא
K(Light activated silicon controlled rectifier LASCR)Kאאא
אVBoאאאאאאWאאא J
K
אאא(Leakage current)
Kאא،אא
K אאאא
אW(dv/dt)אאא J
אא א
אאא
א א אאK אאא
٢٠٠٢٠אאאאK(dv/dt)אא
K
אאאאאאW אאא J
אאP2אאאאאאאאא
אאKאJ2א
אא،אאאא
אאKא
אאא،אאא
Kא
Methods of thyristor turn-off EאFא٤ J٤ J١
אא
אK אאא،א
K
א
אא
אKאIHאא
אK אאאא
- ١٦ -
אא
٢٠٦
אאאא
א
א
א
אא אאאאא
Kאאאא،אEF
אאאאWאא J
אאE١٦ J١Fא
אאא،E١٦ J١Fא
Kאאdv/dtא
א١٦ J١
אאאWEאFאא J
א אאא
Sא، אאאא١٦ J١אKא
א،אאאא
KאאאאאאKא
אאא אא אאא
K(Line commutated)א
Thyristor protectionא٥ J٤ J١
א אאאאאא
אאאאאKאאא
K
אא،אא
- ١٧ -
אא
אאאא
٢٠٦
א
א
א
אאאאF
אאאKEKKKאא
אאאKאאאאאא
Kאאאא
אא אאW אאאא J
אאאKאאאא
אא אאא
א
א ،dv/dtא
Kאאא
א אא،אאאאא
אאKאאאאאא
Kאא
א אאאאאא
אK
RCאאאאאא١٧ J١Kאא
K אאאאאאאKא
K אאאאאאאאR1א
dv/dt א אאאאKאR2א
אאאאdv/dtאאKאא
K١٧ J١אאאKאא
אdv/dtאאאא١٧ J١
- ١٨ -
אא
אאאא
٢٠٦
א
א
א
אאאאאאWאאאא J
K אאאKאאאאא
אא אא
אאאאK אא
אאKאאאאאא
Kאא
EFdi/dtאאא א
K١٨ J١،אא
di/dtא١٨ J١
Thyristor types אא٦ J٤ J١
א
אא
א אאאאאK אא
אאK
אא TRIACא
א
אאאKאאאאאאא
Wאאאאא
- ١٩ -
אא
٢٠٦
אאאא
א
א
א
1. Phase controlled thyristor(SCR)
א אK١
2. Fast switching thyristor (SCR)
אא אK٢
3. Gate-turn-off thyristor (GTO)
אא אK٣
4. Bidirectional triode thyristor (TRIAC)
5. Light activated silicon-controlled rectifier
(LASCR)
א אK٤
א אK٥
،אאאאאאאא
אא(SCR)אאאאא
٢٠ J١Kאאא١٩ J١،
K
אא١٩ J١
- ٢٠ -
אא
٢٠٦
אאאא
א
א
א
EPowerexF٢٠ J١
א(Data sheet)אאא
Kאאאאאאאאאאא
אKאאאאאאא
אא، א
KאKאא
- ٢١ -
אא
٢٠٦
אאאא
א
א
א
Power Transistorאא
٥ J١
אאאא
אאאא
אאK א א א א
אאא،א
אאאאKאא
WאאאאKא
(Bipolar Junction Transistor) BJT אא א J١
אאאאא J٢
(Metal–oxide-semiconductor filed effect transistor) MOSFET
אאאאא א J٣
(Insulated Gate Bipolar Junction Transistor) IGBT
BJTאאא١ J٥ J١
אאאאאאאא
אאאאאאאNאאאP
אא(emitter) א(collector)א (base)א Jא
،E٢١ J١ F(PNP) א(NPN) ،
אאאא
،אא،(saturation)
אאK אאא
אאאKאאאא
אאא א،אא א
Kאאאאאא
אאאאאאאBJTאא
،IGBTאאאMOSFETאאא
- ٢٢ -
אא
٢٠٦
אאאא
א
א
א
،EאאאFאאא
אאאK ١٠א
אא،א
אא
، אאא
Kאאא٢١ J١Kאאא
אאאא EF
אאאא
E
F
אאאא٢١ J١
- ٢٣ -
אא
אאאא
٢٠٦
א
א
א
MOSFETEFאאאאא٢ J٥ J١
אאא
(gate) א(D)(drain)(S)(source)،א
E אאאFאאא،(G)
אN-channelאא،
Kאאאאאא
MOSFETאאKP-channelא
،א(majority carrier)א(Transconductance)
אאFאא،א
א אאKאE
אא
٢٠Fאאאא،١٠٠אא
אאאא٢٢ J١KE١٠٠١FאאE١٠٠
KN-channelאKMOSFETאא
اﻟﺘﺮآﻴﺐ
- ٢٤ -
اﻟﺮﻣﺰ
אא
٢٠٦
אאאא
א
א
א
אא
N-channelMOSFETאא٢٢ J١
IGBTאאאאאא٣ J٥ J١
אBJTא אIGBTא
אאאאאKMOSFET
אBJTEאאFKBJT
١٠٠٠ ١٦٠٠אאאK٤٠MOSFET
J١K(gate) א(emitter)(collector)،א K
אאא٢٣
אאאKIGBTאא
Kאאא
IGBTאאא
א
IGBTאא٢٣ J١
- ٢٥ -
אא
٢٠٦
אאאא
א
א
א
אאא
؟אא J١
Kאא א J٢
Kא؟אא J٣
؟אאא J٤
אא א J٥
؟אאאאא J٦
؟אאא J٧
א؟אאאא J٨
אאא א J٩
؟ J١٠
؟אאאא א J١١
؟אאאאאא J١٢
א،אאא،אאאאא א J١٣
Kא،IGBT
IGBTאאאאא J١٤
- ٢٦ -
א
אאאא
א אאא
٢
אא
אאאא
٢٠٦
א
א
א
KאאאאאאWאא
אK אאאאאאאא
Kאאאא
WאאאWאא
Kאאאא אK١
Kאאאא K٢
Kאאאאאא K٣
Kאאא K٤
Kאאאא K٥
K٦Wאא
KWאא
KאאאאאאאאWאא
- ٢٧ -
אא
אאאא
٢٠٦
א
א
א
Uncontrolled Rectifier CircuitsאאאאWאא
אא،E
אFא אאאאא
אאאאאא
KEאאFאא
،אאא
א אאאא
Wאא
KאWא J١
K،Wא J٢
אאא،אאאאאאאא
،אאאאא
אF אאאאא
אאאK אא،Eא
אאאאאאאא
א،אאאא K אאא
Kאאאאא،١
Single-phase rectifier circuitsאאא١ J٢
،אW
אאאא
א،אאאK א
אK(Bridge rectifier)א(Centre-tap rectifier)א
Kאאאא
The single-phase half-wave rectifier
אאא١ J١ J٢
א،אאאאאאא
אאא(dc component)
אאא אאאKאאאא
K
- ٢٨ -
אא
אאאא
٢٠٦
א
א
א
אאא
אאאאאא١ J٢
אאK אא
KEF
אאאא١ J٢
- ٢٩ -
אא
אאאא
٢٠٦
א
א
א
Wאא
vs = Vm sin ωt
2-1
אאאE3π2π،π0אF אא
Wא،אאאאKאא
v
V sin ωt
i = s = m
L R
R
2-2
אאvsאאאא
K١ J٢ (V L)
אאE4π3π،2ππאF vs אא
אאאא،אאא
אאאאאאK
א١ J٢KE١ J٢Fאא
אאאאאאאא،(VAK)אא
Wא
v
AK
=v −v
s
L
2-3
אא،vAKאאא
אאאאKאאאא
K(Peak Inverse Voltage)PIV
אKacdcאא
WאאEVoאאאFdc
2-4
Vo =
= 0.318 Vm
2-5
- ٣٠ -
אא
אאאא
٢٠٦
א
א
א
WאאIo אאא
2-6
Wאאאא(Pdc) אא
= Io2 R =
2-7
Wאאאאא
= 0.5Vm
2-8
WאEאFאאאאא
2-9
(Pac)אאאאאאא،אאאא
Wאאאא
=
2-10
R=
Vdcאאא א
אאא،(ripple)Vac
Wאא א
- ٣١ -
אא
אאאא
٢٠٦
א
א
א
=0.386 Vm
=
2-11
Wאאאאא
Wאא (η)אא
=
= 0.405 = 40.5%
2-12
E
אאאFא،FFא
Wא
=
= = 1.57% = 157%
2-13
אא(Ripple factor (RF))אא
Wא
= 1.21 =121%
2-14
אאאא(Transformer utilization factor)אא
TUFאאK אאאא،א
Wאא
=
= 0.286 =28.6%
2-15
W
Vs =
Is= Irms =
KאאאאIs،אאאאVs
- ٣٢ -
אא
אאאא
٢٠٦
א
א
א
١ J٢
٢٢٠אאאאאא،١ J٢אא
Wא١٠א٥(N1/N2)א
אאא
אאא
אאא
אאא
K١
K٢
K٣
K٤
א
VP=220
N1/N2=5
R=10Ω
V
p Vs
=
N
N
1
2
V N
p 2 220 *1
Vs =
=
= 44 V
N
5
1
Vm = 2Vs = 2 * 44 = 62.23 V
V
62.23
Vrms = m =
= 31.12 V
2
2
V
31.12
I rms = rms =
= 3.112 A
10
R
PIV= Vm=62.23 V
- ٣٣ -
אא
אאאא
٢٠٦
א
א
א
אאאאא1/TUF=1/0.286=3.496
K אאא٣{٤٩٦
אאאאאא
Kאא
אאאאא٢ J١ J٢
Single-phase full-wave center-tap rectifier
Kאאאא٢ J٢
אאאאא
אאאאKא
אאאD1אא אא
א،Vsאא،אD2
D2אאא،2VsאאD2אאאא
אאאאאK
،א אD1אאאD2אא
،אאא Kאאא
Kאאאא
- ٣٤ -
אא
אאאא
٢٠٦
א
א
א
א٢ J٢
- ٣٥ -
אא
אאאא
٢٠٦
א
א
א
WאאVdcאאאא
2-16
= 0.6366 Vm
2-17
WאאIo אאא
2-18
Wאאאאא
0.707 Vm
2-19
WאEאFאאאאא
2-20
אאאאאא١٧ J٢א
אאPIVאא،א
Kאאא
אאאאאאאא
Kא٢٠ J٢١٦ J٢אאאאKא
- ٣٦ -
אא
אאאא
٢٠٦
א
א
א
אאאא٣ J١ J٢
Single-phase full-wave bridge rectifier
אא ،אאאא
אאאאאאא
אאא٣ J٢Kאא אא ،אא
0אF VsאKאאאאא
D2אאאD1אאאD1אאEπ
KVsD3,D4אאאKא
D3אאאD3אאE2ππאF Vsא
KאD4אאπ٠אאאא
אiLאKVsD1,D2אאא
Kאא
אאאאאא
אאאאאKא
א א אאK אאאאאא
Kאאאאא،אא
- ٣٧ -
אא
אאאא
٢٠٦
א
א
א
٣ J٢
- ٣٨ -
אא
אאאא
٢٠٦
א
א
א
٢ J٢
א١٠א٤٤אא،٣ J٢אא
Kאא،א،א،אWא
Vs=44 V
=
I rms =
R=10Ω
Vm = 2Vs = 2 * 44 = 62.23 V
א
= 44 V
=
=
= 4.4 A
Pac = Vrms I rms = 44 * 4.4 = 193.6 W
RF = FF 2 − 1 = 1.112 − 1 = 0.48 or 48%
PIV= Vm=62.23 V
א،אאאאאא
KאאאאKא
- ٣٩ -
אא
אאאא
٢٠٦
א
א
א
אאא٢ J٢
אאאאא אאא
Kאאא(ripple)
א(filters)אא
אאאאא،אאKא
אK(dc filter)אאאאKא
K٤ J٢LC CL א
אא(ac filter)
KLC٥ J٢Kאא
dc filters אאא٤ J٢
ac filters אאא٥ J٢
אאאEb٤ J٢Fא
אאא٦ J٢K
אK אאאK
Cf2 > Cf1אEאFאא
- ٤٠ -
אא
אאאא
٢٠٦
א
א
א
אא אK א
אאE
Fאא،א
KVdc
א٦ J٢
Wאאאאא
2-21
،אאא א אאf
Kאא
KCfאאאא א
Wאאאא
2-22
- ٤١ -
אא
אאאא
٢٠٦
א
א
א
אאא٣ J٢
אאא٢ J٢א
אא،E١٧ J٢אF0.6366Vmאאאא
אאאאאאKא١٥
אW Jאאא JאאאKא
א א אאאKא
Kאא
אא٣ J١ J٢
א،אא٧ J٢א
אאKאאאאאאא
E אFאאאאאאאאא
K
אא٧ J٢
- ٤٢ -
אא
אאאא
٢٠٦
א
א
א
aא 5π/6π/6 אאDaאא
، אאbאDbאא،אא
K אאcאDcאא
אאאK(2π/3)١٢٠אא
Wאא
2-23
Wאאאאא
2-24
אא،Po = Vo Ioאאאא
א
= 0.8412 Vm
2-25
2-26
Pac = Vrms Irmsא אאאא
Wאאא
Vac =
η=
FF =
= 96.8 %
=1.017
RF =
=18.5%
TUF = 0.6643 = 66.43%
- ٤٣ -
אא
אאאא
٢٠٦
א
א
א
אא٣ J١ J٢
אאאאאא
אא
٨ J٢KאKאאא
אאאא،אאאא
אא
אאא،D1D2, D2D3, D3D4, D4D5, D5D6 and D6D1 W
אאאאאאא
Wאאאאאאא
2-27
= 1.654 Vm
Wאאאאא
2-28
אא،Po = Vo Ioאאאא
א
= 1.655 Vm
2-29
2-30
Pac = Vrms Irmsא אאאא
Wאאא
Vac =
η=
FF =
RF =
= 99.83 %
=1.0008 = 100.08%
=4%
TUF = 0.9542 = 66.43%
- ٤٤ -
אא
אאאא
٢٠٦
א
א
א
אא٨ J٢
٤ J٢
אאKאאאא
K
א אא،אא
אאאא
،אאאאאא
E אאFUPSאאא
Kאא
- ٤٥ -
אא
אאאא
٢٠٦
א
א
א
אאאKEאא٩ J٢
Vsאא،אאא
אאαאא .βאאαאאאKEא
Wβ
א٩ J٢
- ٤٦ -
אא
אאאא
٢٠٦
א
א
א
2-31
Kאאאαאאא
2-32
אβאאאא،אVsאא
Wאא
2-33
Wאאא
2-34
אא٣٤ J٢א،אאאiLא
WאאEאFא
2-35
٣ J٢
אאאKא١٠٠١٢אא٩ J٢
–אאא JW
אא،١W٢א١٢٠א٥
–אא–א–א–אא
Kאא
א
E=12 V
Vp=120 V
Io=5 A
N1:N2=2:1
Vs=Vp/2=120/2=60V
Vm=
Vs=
- ٤٧ -
אא
אאאא
٢٠٦
א
א
א
E
12
= sin − 1
= 0.1419 rad or 8.13o
V
84.85
m
β = π − α = 180 − 8.13 = 171 .87 o
Wאאδאאא
δ=β-α=171.87o-8.13o=163.74o
WאאE٣٥ J٢FאIoא
α = sin − 1
W٥אאRאא
Wאאאאא
2
1 β ⎛⎜ Vm sin ωt − E ⎞⎟
=
I
d (ωt )
∫
rms
⎟
2π α ⎜
R
⎝
⎠
⎡⎛ V 2
⎤
⎞
V2
⎟
⎜
⎢ m
⎥
=
+ E 2 ⎟(π − 2α ) + m sin 2α − 4V E cosα ⎥
⎜
⎢
m
2
2πR 2 ⎢⎜ 2
⎟
⎥⎦
⎠
⎣⎝
= 8.2 A
1
I
rms
WאאRאאאא
PR=Irms2R=8.22 4.26=286.4 W
Wאאאאא
Po=EIo=12 5= 60W
hPo=100
Wא
or h=100/Po=100/60= 1.667h
Wאאηאא
- ٤٨ -
אא
אאאא
٢٠٦
א
א
א
Wאאאא
PIV=Vm+E = 84.85+12=96.85 V
אאאא،٪١٨אאא
אאאKאאא
Kאאאא
- ٤٩ -
אא
אאאא
٢٠٦
א
א
א
אא
؟אא J١
KאKאאאא א J٢
–א Jא–אWאאא J٣
Kאאאא
؟אאא J٤
Kאאאא א J٥
Kאאאא א J٦
؟אאאא J٧
Kאאאאאאא א J٨
؟אאאאא J٩
Kאא א J١٠
אאאאאאאא J١١
Kאא
א
א ،Vo, iL, Vs, VAK
אאאאא J١٢
Kאאא
- ٥٠ -
אא
אאאא
٢٠٦
א
א
א
א١٢٠אא،٢ J٢אא J١٣
אאאWאא،١٢א١W٥
אאאאאאאא
אא אאא،א
Kאא
א٣٨٠אא،٧ J٢אא J١٤
אאאWאא،١٠א١W١٠
Kאאאא،אאא،א
- ٥١ -
א
אאא
אאא
٣
אא
٢٠٦
א
אאא
א
א
KאאאאאאאאWאא
WאאאWאא
KאאאאאאאK١
KאאאאאK٢
KאאאאאאK٣
KאאאK٤
KאאאאאאK٥
KאאאאאאאK٦
KאאאK٧
KאאאאאאK٨
K٪٩٠אאWאאא
K٩Wאא
KEFWאא
Kאאאאא٢אאWאא
- ٥٢ -
אא
٢٠٦
א
אאא
א
א
Controlled Rectifiers אאאWאא
אאאא
אא،?א?אאאא
אאאאאKאא
אאאאאא
אאEFאא،א
אאאאאא
Kאא
אאאאאא
אאאאאאא
،אאאאWא
Wא
”Half Wave Converter“
”Semi-converter“
”Full Wave Converter“
”Dual Converter“אא
Kאאאא
א ١-٣
Single Phase Half Wave Converter (controlled rectifier)
ﻤﻭﺤﺩ ﺃﺤﺎﺩﻱ ﺍﻟﻭﺠﻪ ﻨﺼﻑ ﻤﻭﺠﺔ ﻤﺤﻜﻭﻡ ﻤﻊ ﺤﻤل ﻤﺎﺩﻱ
١-١-٣
אאאא
אאK١ J٣אEF
”A“ אאאאK
אאא”K“ א
אאאא ”α“אאא
א” ﻓﺈن אωt=π“אאא
- ٥٣ -
אא
٢٠٦
א
אאא
א
א
אאא א
א א”K“א”A“א
אאאא
אאKא
٢ J٣
א١ J٣
VQ1
אאא٢ J٣
- ٥٤ -
אא
٢٠٦
א
אאא
א
א
אא”Vo“אאאא
:” آﻤﺎ ﻳﻠﻲ0-2π“אאא
π
Vm
1
(1 + cos α )
sin(
ω
)
(
ω
)
=
Vo =
V
t
d
t
m
2π α∫
2π
3-1
אאא(3-1)אא
אא אאאK”α“אא
Wאאאא
Io =
Vo
V
= m (1 + cos α )
3-2
R 2πR
Wאאאא
π
Vrms
Vrms =
Vm
α sin(2α )
1− +
2
π
2π
1
=
(Vm sin ωt ) 2 dωt
∫
2π α
3-3
Wאאא
I rms =
Vrms Vm
α sin(2α )
=
1− +
R
2R
π
2π
3-4
אאאאאאאאא
אאאאאאאאא
Kאאאאאא
- ٥٥ -
אא
٢٠٦
א
אאא
א
א
١-٣
١٠אא
Wא،٢٠٨אא
Kאאאא J
K٤٥אאאאאא J
K٦אאא J
Kאא J
KPIVא J
א
٢ J٣אאאא J
א J
Vm = 208 2 = 294.156
V
Vo = m (1 + cosα ) = 46.816(1 + cos 45) = 79.92
2π
V
I o = o = 7.992
R
V
A
6Aאא J
V o = I o R = 6 × 10 = 60
α= 73.64o
V
V
αאאVo(3-1) א
אאא J
K
Vm
(1 + cosα ) = 46.816(1 + cos 0) = 93.63
2π
V
= o max = 9.36
R
Vo max =
V
I o max
A.
PIV = Vm = 294.156
V
- ٥٦ -
אא
٢٠٦
א
אאא
א
א
א ٢ J١ J٣
אאאאאא
٣ J٣Kאאאאאאא،
،א
Kאאאאאאא ٤ J٣
אאא אEFא
אאאא،אאאא
אאאאאא
אאאא،אאאא
Kאאא"β" אאא
אאאא"D" אאא
αאאאאא،אא
βπאאאאאאאאπ
אאאאאא٤ J٣א
אאא،אאאאא
Kאאאאאאא
א٣ J٣
אאא”Vo“אאאא
:آﻤﺎ ﻳﻠﻲ”0-2π“אאאאא
- ٥٧ -
אא
٢٠٦
א
אאא
א
א
V
1 β
Vo =
Vm sin(ωt )d (ωt ) = m (cosα − cos β )
∫
2π α
2π
3-5
Kאאאאא ،אא“β”
K(3-1)אאאאאאא
Io =
Wאאא
Vo
R
3-6
VQ1
אאא٤ J٣
- ٥٨ -
אא
٢٠٦
א
אאא
א
א
iQ1
iD
Vo
VQ1
אאא٤ J٣
אאא
אאאאאאאאאא
Kא
- ٥٩ -
אא
٢٠٦
א
אאא
א
א
א٢ J٣
Single-Phase Semi-Converter (Single –Phase Full wave Semi-Controlled Rectifier)
אא
א(D1, D2)אאא(Q1,Q2)א،٥ J٣
Kאאא ”D“אא
א ”α“א ”Q1“אאאא
אא”D1“אאא
”D“אאאא”π+α>ωt>π“אK”ωt=π“
אא Jאאא
”Q1“א Jאאאא
א ”π+α“א”Q2“א”2π>ωt>π+α“א
אא”D2“אאא
”Q2“אאאאא”ωt=2π“
”Q1“אא”2π+α>ωt>2π“א
אאK
K٦ J٣
א٥ J٣
אא”Vo“אאאא
W”0-π“אאא
- ٦٠ -
Vo =
1
אא
٢٠٦
א
אאא
א
א
π
V
π α∫
m
sin(ωt )d (ωt ) =
Vm
π
(1 + cos α )
3-7
אאאE٦ J٣F
Io =
Vo Vm
(1 + cos α )
=
R πR
Wאאא
3-8
- ٦١ -
אא
٢٠٦
א
אאא
א
א
אאאE٧ J٣Fאא
אאאאאא ،”α“אא
One “אאאאאאאKא
K”quadrant
٢ J٣
אא
،א
א ١٥א
Wא٢٠٨אא
K٦٠אאאא J
K١٥٠אאאא J
א
Kאא J
א J
Vm = 208 2 = 294.156
Vo =
Io =
Vm
π
V
(1 + cosα ) = 93 ⋅ 633(1 + cos 60) = 140.4495
Vo
= 9.3633
R
V
A
Va=K150 Vא
אWאא J
α= 52.987o
Kאא J
Kאאאא
Vo max =
Vm
π
(1 + cosα ) = 93.633(1 + cos 0) = 187.266
V
- ٦٢ -
אא
٢٠٦
א
אאא
א
א
א ٣ J٣
Single- Phase Full -Wave Converter (Single-Phase Full Wave Controlled Rectifier)
אאא
אא٧ J٣K(Q1,Q2,Q3,Q4)
،א”Q2“،”Q1“אאאא
K
א Jא J”α“א
”Q1, Q2“אאא ”Q1, Q2“אא
אπωt
”π+α“א Jאא J “Q4” א “Q3” א
א”Q1“אאא
K”2π+α“א ”Q2“
K٨ J٣אא
א٧ J٣
אא”Vo“אאאא
KE٩ J٣F،”α-(π+α)“אאא
אא ،E١٠ J٣Fאאאא
،”α“אאאאאא
אאאאאאאא
٩٠אאאא ٩٠א
- ٦٣ -
אא
٢٠٦
א
אאא
א
א
אאאאאאא
K”Two quadrant“אא
אאא٨ J٣
2V
1 π +α
Vo = ∫ Vm sin(ωt )d (ωt ) = m cosα
π
α
3-9
π
- ٦٤ -
Io =
אא
٢٠٦
א
אאא
א
א
Vo Vm
(1 + cos α )
=
R πR
3-10
W٣ J٣
אאא
،א
א١٢
Wא،٢٠٨אא
K٦٠אאאא J
KPsאאא J
אאא١٢٠אאאאא J
Kא
א
Kא J
Vm = 208 2 = 294.156
Vo =
2Vm
π
V
(cosα ) = 187.266(cos 60) = 93.633
V
Vo
= 7.8
A.
R
אאאאאאא
Io =
אאאאאאא
KEאFא
Ps= PL =VoIo=730.594
אאאZאאא-
watt
،אאא120oאאVo =
2Vm
π
K(3-9) א
(cosα ) = 187.266(cos120) = −93.633
V
אאא
- ٦٥ -
אא
٢٠٦
א
אאא
א
א
Ps= VoIo= -730.594
watt
אאא ٤ J٣
،٩ J٣אא
Single -Phase Dual Converter
אאאאאאא
Kאאאאאאא
Wאאא “Q1, Q2, Q3, Q4” אאא
2V
Va1 = m (cosα a 1 )
3-11
π
אאאאאא א
Va 2 =
2Vm
π
Wאאא “Q1’, Q2’, Q3’, Q4’” אאא
(cosα )
3-12
a2
אאא٩ J٣
אאא ٥ J٣
،אאאאאא
Three- Phase Half- Wave Converter
אאאאאא
אאאא
Kא
- ٦٦ -
אא
٢٠٦
א
אאא
א
א
א”Q1,Q2,Q3“אאאאא
K١٠ J٣אא
אאQ1א١١ J٣א
Q2א،א،(
Q3
אא
א،א،(
Kא،(
אא
אאאK
אVanא(ωt=π/6 + α)א
Q1(ωt=5π/6 + α)Q2א
Q3אאVbnא
אVcnאQ2(ωt=3π/2 + α)
K١١ J٣אאא
אא١٠ J٣
Wא
Van = Vm sin(ωt)
Vbn = Vm sin(ωt-2π/3)
Vcn = Vm sin(ωt+2π/3)
- ٦٧ -
אא
٢٠٦
א
אאא
א
א
/6
2
3 /2 +
3 /2
5 /6 +
5 /6
/6 +
/6
אאאא١١ J٣
Kאאאא
(π/6 + α)אאאאא
Vo =
3
2π
α+
KE١٣ J٣Fאאא،(5π/6 + α)
5π
6
∫πV
α+
m
sin(ωt ) d (ωt ) =
3 3Vm
cosα
2π
3-13
6
- ٦٨ -
אא
٢٠٦
א
אאא
א
א
W٤ J٣
١٠אא
،אא
Wא،٢٠٨אא
،٣٠אאאאאאא J
Kא
K٦٠אאאאאאא J
K١٢٠אאאאאאא J
Kאאא J
א
K٣٠אאאא J
Vm =
208 2
= 169.83
3
V
Vo =
3 3Vm
(cosα ) = 140 ⋅ 449(cos 30) = 121.633
2π
V
Io =
Vo
= 12.166
R
A.
K٦٠אאא-
Vo =
3 3Vm
(cosα ) = 140 ⋅ 449(cos 60) = 70.2245
2π
V
K١٢٠אאא
Vo =
3 3Vm
(cosα ) = 140 ⋅ 449(cos120) = −70.2245
2π
V
KאאאאאVo =
3 3Vm
(cosα ) = 140 ⋅ 449(cos 0) = 140.449
2π
- ٦٩ -
V
אא
٢٠٦
א
אאא
א
א
אא ٦ J٣
אאאאא
Three- Phase Semi-converter
אאאא١٢ J٣א
אא،”One quadrant“
אאא١٢٠אאאא
אאאאאא
KE١٤ J٣F Jאאא Jא
Vo =
3 3Vm
(1 + cosα )
2π
3-14
אא١٢ J٣
W ٥ J٣
١٠אא
،אא
Wא،٢٠٨אא
Kאא٤٥אאאאאאא J
K٧٥אאאאאאא J
K١٣٥אאאאאאא J
Kאאא J
K٦אאאא J
- ٧٠ -
אא
٢٠٦
א
אאא
א
א
א
K٤٥אאאא J
Vm =
208 2
= 169.83
3
V
Vo =
3 3Vm
(1 + cosα ) = 140 ⋅ 449(1 + cos 45) = 239.76
2π
V
Io =
Vo
= 23.976
R
A
K٧٥אאא-
Vo =
3 3Vm
(1 + cosα ) = 140 ⋅ 449(1 + cos 75) = 176.8
2π
V
K135אאאVo =
3 3Vm
(1 + cosα ) = 140 ⋅ 449(1 + cos135) = 41.136
2π
V
KאאאאאVo =
3 3Vm
(1 + cosα ) = 140 ⋅ 449(1 + cos 0) = 280.898
2π
V
Wאאאא،٦-
Vo = I o R = 6(10) = 60
V
Va=K60 Vא
א
α= 125o
אא ٧ J٣
E١٣ J٣Fאאא
Three- Phase Full- Converter
אא אאאא
KE٩ J٣Fאאא،”Two quadrant“
Vo =
3 3Vm
π
cosα
3-15
- ٧١ -
אא
٢٠٦
א
אאא
א
א
אאE١٣ J٣F
:٦ J٣
אא
،א
א١٠
WאK٢٠٨אא
K٤٥אאאא J
KPsאאא J
אאא135אאאאא J
א
Vm =
Vo =
Io =
208 2
= 169.83
3
3 3Vm
π
K٤٠אא J
V
(cos α ) = 280.898(cos 40) = 198.625
Vo
= 19.86
R
Ps= PL =VoIo= 3945.19
Kא
V
A
אאאZאאא-
watt
- ٧٢ -
אא
٢٠٦
א
אאא
א
א
אאא135oאא J
K(3-15)א
Vo =
3 3Vm
π
(cosα ) = 280.898(cos135) = −198.625
V
אאא
Ps= VoIo= -3945.19
watt
אאא ٨ J٣
אא
Three- Phase Dual -Converter
אאאאא،١٤ J٣
KאאאאאאאKא
אאא١٤ J٣
٩ J٣
אאאאאאא
אא،אאאא
?א?אאאא،א
אאE١٥ J٣FKאאאא
אאאאאאאא
Kאאא،אאאאKא
- ٧٣ -
אא
٢٠٦
א
אאא
א
א
אאאאאאא
WאאאKא
אאאאאWאא
אאאאאא א
אאאאאKאאא
Kאאאאא،אא
אאא Wאא
אאא،אא
אאא،אאאאאא
אא،אאאאא
Kאאאא
ﻣﻮﺣﺪ ﻣﺤﻜﻮم
אאאאאאאא١٥ J٣
W٧ J٣
א،٢,٥א
א١٠אאK٦٠٢٢٠
WאאKL١٥٠٠א
אאKL٥٠٠אאאא J
K,٢
- ٧٤ -
אא
٢٠٦
א
אאא
א
א
א
אאא،١٤٢אא
Wאא
Va = Ea + I a Ra
Ea = K ω
T = K Ia
P
T=
ω
Va =
2Vm
π
2πn
60
Wאאאאאא
ω=
cosα
Vm = 220 2 = 311.13 volt
Wאאאא J
ω=
T=
2πn 2π × 1500
=
= 157.1 rad / sec
60
60
P
ω
K =
=
2.5 × 746
= 11.87
157.1
N .m
T 11.87
=
= 1.187
10
Ia
E a = K ω = 1.187 × 157.1 = 186.6 volt
Va = Ea + I a Ra = 186.6 + 10 × 0.2 = 188.6 volt
cos α =
Va π 188.6 × π
=
= 0.9522
2Vm 2 × 311.13
α = 17.8 o
WL٥٠٠אא J
E a1 = K ω1 = 1.187 ×
2π × 500
= 62.15 volt
60
Va1 = E a1 + I a Ra = 62.15 + 10 × 0.2 = 64.15 volt
V π
64.15 × π
cos α 1 = a1 =
= 0.3238
2Vm
2 × 311.13
α 1 = 71.1o
- ٧٥ -
אא
٢٠٦
א
אאא
א
א
אא
؟אאאאK١
אאאא
אאאאK٢
؟
אאא
אאאK٣
Kא
K אאאאK٤
אאאK٥
KאאאאאאKא
KאאאאאאK٦
WאאאKאאאC 9K٧
Kאאא J
Kאאא J
Kאאאאא J
Kאאא J
אאאאאאK٨
Kא
אא
KאאאאK٩
٢٠א אאK١٠
א
א
אאאKא٢٠٠٠אאאאא٢٠٨אא
Wאאאאאא
אאאא J
אא J
א J
- ٧٦ -
אא
٢٠٦
א
אאא
א
א
אK١١
אא١٥א
אאאאא٢٠٨אא
K٣٠
א،٣אK١٢
א١٢אאK ٦٠ ٢٢٠
WאאKL١٥٠٠א
KL٨٠٠אאאא J
K١٥٠אא J
K,٢אא
- ٧٧ -
א
אא
אא
٤
אאא
٢٠٦
א
אא
א
א
אאאאאאWאא
WאאאWאא
Kאא
Kאאאאאא
אאאאאאא
Kא
Kאאאא
Kאאאאא
Kאאאא
K٪٩٠אאWאאא
K٥Wאא
KEFWאא
١ Jאא J١Wאא
Kאאאא J٢
- ٧٨ -
אאא
٢٠٦
א
אא
א
א
DC Choppers אאWאאא
אאא
אאאאא،EFא
،KKKKאאאאאאאאא
אאאאאאאא
אאאKאאא
Kא
אא ١ J٤
א١ J٤אאאאאא
Theory of Operation
TonאאKא()
אToff אא،אא
א،٢ J٤אא،
Wאא
Vo =
T
1T
Vs dt = on Vs = kVs
∫
T
T 0
on
4-1
W
א
א
א
s
on
off
אא
א
א
- ٧٩ -
o
אאא
٢٠٦
א
אא
א
א
Wאאא
Io =
Vo
V
=k s
R
R
4-2
Wאאאא
1
2
T
⎡1
⎤
2
Vrms = ⎢ ∫ Vs dt ⎥ = on Vs = kVs
T
⎣T 0
⎦
Ton
4-3
“Ps”אא “Po” אאא
،(on)אאא
Wא
1
Ps = Po =
T
Ton
1
∫0 vsio dt = T
Ton
2
2
2
Vs
Ton Vs
vs
∫0 R dt = T R = k R
4-4
K٪١٠٠אא
S
Vs
אא ٢ J٤
Io
Vo R
אאא ١ J٤
אאאE١ J٤Fאא
2500 500 HzאFאאא،א
אאאאאאאEHz
- ٨٠ -
אאא
٢٠٦
א
אא
א
א
MOSFETIGBTאאאא
אא،KKKKKKGTO
אאאאאא א
אאאאאאאE٤ J٤FE١ J٤F
:אא
T
1T
1T
Vo = ∫ vo dt = ∫ (Vs − Vd )dt = on (Vs − Vd ) = k (Vs − Vd )
T
T 0
T 0
on
on
4-5
،אאאאVd
Wאאאא
1
2
T
⎤
⎡1
Vrms = ⎢ ∫ (Vs − Vd ) 2 dt ⎥ = on (Vs − Vd ) = k (Vs − Vd )
T
⎦
⎣T 0
Ton
4-6
Wאאא
Ps =
T V (V − Vd )
V (V − Vd )
1T
1 T Vs (Vs − Vd )
v
i
dt
dt = on s s
=
=k s s
s o
∫
∫
T 0
T 0
R
T
R
R
on
on
4-7
Wאאא
Ton (Vs − Vd ) 2
(Vs − Vd ) 2
1T
1 T (Vs − Vd ) 2
Po = ∫ vo io dt = ∫
dt =
=k
T 0
T 0
R
T
R
R
on
on
4-8
אאאאאאא
אא،אאא
Wאאאא
אא(Ton)א،(PWM)א-
٣ J٤א،(T)
(Ton) אא(T) א،(FM)א J
K٤ J٤א
Wאאאא
- ٨١ -
אאא
٢٠٦
א
אא
א
א
אא،(SCR)אWאא
אGTOאאKא
Kאא
،(BJT)אאWאאא
،אאא
אאאאא،א
Kאאאאאא
- ٨٢ -
אאא
٢٠٦
א
אא
א
א
אאאא٣ J٤
א،(MOSFET)אWא
Wאא ،א
א(MOSFET)א J
Kא
Kאאאאאאא J
- ٨٣ -
אאא
٢٠٦
א
אא
א
א
Kאאא J
אאא،אאאא
KאאKאא
Vi
Vs
t
Vo
Va
Vs
t
Ton
Toff
Ton
T
Toff
T
Vo
Va
Vs
t
Ton
Toff
Ton
T
Toff
T
Vo
Va
Vs
Ton
Ton
Toff
T
אאאא٤ J٤
- ٨٤ -
t
אאא
٢٠٦
א
אא
א
א
אאאאא
Kאאאא
אא ٢ J٤
،אאאאאא
Step Down DC Choppers
א ٥ J٤Kאא
אאאא٦ J٤،
Kא
אא
אאא(On)אא
אאאא(Off)אא،(Q)א
אאאאא،(Q)Dא
KאאE١ J٤Fא
אאאאאאא٥ J٤
- ٨٥ -
אאא
٢٠٦
א
אא
א
א
אאאאא٦ J٤
- ٨٦ -
אאא
٢٠٦
א
אא
א
א
W١ J٤
אאאאאא
אK٪٦٠אא٣٠٠א١٥
:אK٢אאא
א–א–אא
אאאא
אאאא
אאא
אאא
א
R=15 Ω,
1
T= =
f
א
Vs= 300,
k=0.6,
f=1 kHz,
0.001 sec.
Ton = kT = 0.6(0.001) =0.0006
sec.= 0.6
ms
Toff = (1 − k )T = 0.4(0.001) =0.0004sec. = 0.4 ms
Vo = k (Vs − Vd ) = 0.6(300-2) = 178.8
V rms = k (V s − V d )
Po = k
Ps = k
P
η= o
Ps
(Vs − Vd )
R
2
Vs (Vs − Vd )
R
אא
E
א
א
אאE
volt
= 230.83volt
= 3552.16watt
אאE
אאאE
אאאE
= 3576 watt
אE
= 99.33%
- ٨٧ -
אאא
٢٠٦
א
אא
א
א
אאא ٣ J٤
Kאאאאאא
Step- Up DC Choppers
אאאאE٧ J٤F
(L)אא(On)EאFאKא
אא(Off)אא
vo =
1
Vs
1− k
WEאאFאאא
4-9
א
W
s
אאאאאא
א
אאא
o
אאאאאאאא ٧ J٤
אאאא(4-9)א
אאאאKא
Kאאא
- ٨٨ -
אאא
٢٠٦
א
אא
א
א
אאא
KאאאK١
؟אאאאאאK٢
WאאאKאאאC 9K٣
Kאא J
Kאאאאאא J
Kאאאאאאא J
אאאאאאK٤
אאאא٣٠٠א١٥
א٥אאאאK
٢ אא
:א
א
א
א
אאאא
אאאא
אאא
א
Kאאאאאאאא J٥
א אא J٦
Kאאאא
؟אאא J٧
؟אאאאאא J٨
- ٨٩ -
א
אא
אא
٥
אא
٢٠٦
א
אא
א
א
אאאאאאWאא
WאאאWאא
KאאאאאאK١
KאאK٢
KאאאאאאאאK٣
KאאאאK٤
K٪٩٠אאWאאא
٥Wאא
KEFWאא
Kאאאא٢ JאאWאא
- ٩٠ -
אא
٢٠٦
א
אא
א
א
AC Voltage Controllers אאWאא
אאאאאאאא
אאאאאאאא
،EFאאא
Kאאאאא
אא ١ J٥
אאאא
Theory Of Operation
אאא،١ J٥א
،אאא، Q1, Q2
אא١٨٠אאאא
אאאא١ J٥
Kאאאאאאאא
Wאא
On-Off Control ﺍﻟﺘﺤﻜﻡ ﻓﻲ ﻓﺘﺭﺍﺕ ﺍﻟﺘﺸﻐﻴل ﻭﺍﻹﻴﻘﺎﻑ
١-١-٥
אאQ1, Q2א
א،(Vo) אאאאא،E٢ J٥F
- ٩١ -
אא
٢٠٦
א
אא
א
א
ig1Q1אאאאאאא
Kig2Q2א
אאאאאאאא
א“Vs”אאא،אאאא
Wאא“m”אא“n”א
2π
⎡
⎤
n
n
2
Vorms = ⎢
= kV s
2V s sin 2 ωtd (ωt )⎥ = V s
∫
n+m
⎣ 2π (n + m ) 0
⎦
5-1
Wאאא k
k=
n
n+m
5-2
EאאאאFאאא٢ J٥
- ٩٢ -
אא
٢٠٦
א
אא
א
א
W١ J٥
אא١٠
،٧٥٢٥אא،٦٠١٢٧א
Wאא
Kא J
Kאאאא J
Kאא J
Kאאא J
Kאא J
Kא J
א
k=
Kא J
א J
25
n
=
= 0.25
n + m 25 + 75
אא J
Vorms = Vs·√k = 127(√0.25) = 63.5
V
אאא J
I orms =
Vorms 63.5
=
= 6.35
R
10
A
אאא J
2
Po = I orms R = ( 6 .35 ) 2 × 10 = 403 .225
watt
אא J
VA = V s I s = 127 × 6 .35 = 806 .45
watt
- ٩٣ -
אא
٢٠٦
א
אא
א
א
א J
PF =
Po
= k = 0.5
VA
א J
Im =
Vm
= 19.96
R
A
Phase Angle Control
ﺍﻟﺘﺤﻜﻡ ﻓﻲ ﺯﺍﻭﻴﺔ ﺇﺸﻌﺎل ﺍﻟﺜﺎﻴﺭﺴﺘﻭﺭ
٢-١-٥
Q1, Q2אאאאאא
אאK٣ J٥א
K“Vs”אאאא،١٨٠
EFאאא٣ J٥
אאא
- ٩٤ -
אא
٢٠٦
א
אא
א
א
אאא
אאא،אאאא
K אאא،٤ J٥אאאא
،אאאD1Q1א
אאאKאאאD2Q2
Kאאאאאאא
אאאא٤ J٥
Wאאא
⎡ 2 β
⎤
1
sin 2α sin 2 β
2
2V s sin 2 ωtd (ωt )⎥ = V s
(β − α +
Vorms = ⎢
−
)
∫
π
2
2
⎢⎣ 2π α
⎥⎦
5-3
- ٩٥ -
אא
٢٠٦
א
אא
א
א
אאא٢ J٥
Single Phase Controller with inductive load
אאאאאא
א٥ J٥K אאא
אאKא
Wאאאאא
١٨٠“φ” אא“α”אאWאא
φ ≤ α ≤ π
،אאא“α”א“Q1”אא
“Q1”אאאא
אאאאאאאא
K٦ J٥א“Q1”אאאא
אאאא“Q1”א
אאא“π+α”א“Q2”א
א،٦ J٥ אאאאא
Kאאאאאא
אא٥ J٥
- ٩٦ -
אא
٢٠٦
א
אא
א
א
E φ ≤ α ≤ π Fאא٦ J٥
“φ” אא“α”אאWאא
φ >α
א
אאאא
π+φא“Q2”אπ+φ φ א“Q1”א
Kאאאאא2π+φ
אאאא
K٧ J٥א
- ٩٧ -
אא
٢٠٦
א
אא
א
א
ﺣﻤﻞ ﺛﻼﺛﻲ اﻷوﺟﻪ
ﻣﻮﺻﻞ ﻧﺠﻤﺔ
ﺣﺎآﻢ اﻟﺠﻬﺪ اﻟﻤﺘﺮدد
ﺛﻼﺛﻲ اﻷوﺟﻪ
אאאא٧ J٥
٣ J٥
אאאאא
Wא
אא١ J٣ J٥
אאאאאא٨ J٥
٢אא،א
،אא
אאא،EאFאאאא
אאKאאאאא
Kאאאא
- ٩٨ -
אא
٢٠٦
א
אא
א
א
اﻟﻤﺼﺪر
ﺣﺎآﻢ اﻟﺠﻬﺪ
اﻟﻤﺘﺮدد
اﻟﺤﻤﻞ
داﺋﺮة اﻹﺷﻌﺎل
אאא٨ J٥
אאא٢ J٣ J٥
אאאאאאאא٩ J٥
“Tr”אאא،אאאאא
א،אאאא“Ta”אאא
אאאאאאאא
“Tr”אאא،אאאא
אאאא אא“Tr-Ta”א
א“Tr”אאא،אאאא
אאאא אאאאא“Tr-Ta”
Kאאא
- ٩٩ -
אא
٢٠٦
א
אא
א
א
א
א
אא
אאאאאאE٩ J٥F
- ١٠٠ -
אא
٢٠٦
א
אא
א
א
אא
KאאאK١
؟אאאK٢
KאאאאאאאאK٣
KאאאאאאאK٤
אאאאK٥
Kאאא
אאא١٠K٦
א،mnאא،٦٠١٢٧
Wא،٦אא
Kאאאא J
n, mא J
Kאאא J
Kאא J
Kא J
Kא J
KאאאאאאאK٧
KאאאאאאאאK٨
אאאאK٩
Kאאא
- ١٠١ -
א
אא
אא
٦
אא
٢٠٦
א
אא
א
א
KאאאאאאWאא
WאאאWאא
Kאאא
Kאא
Kאא
Kאא
Kאאאא
K٪٩٠אאWאאא
٥Wאא
KEFWאא
Kאאאא٢ JאאWאא
- ١٠٢ -
אא
٢٠٦
א
אא
א
א
InvertersאאWאא
אאאא
אאאאא ،
EאאאאFאאאאאאא
אא (PWM) אאאאא
אאאאאאא
Kא
אאאאא
(Filter)א،אא
אאאא،אאאא
אאKאאאאאא
אאא(UPS)אאאא
Kאאאאאאאא
אאאאאאא
Kא
א١ J٦
א١ J٦אאאאאאא
Theory of Operation
א(D1, D2)א(Q1, Q2)
א،אQ1אאאQ1KVs
אאQ2،(T/2)אאEVsFאאא
א(-Vs)אאאאאQ2א
אK٢ J٦אא،(T/2)א
אאאKא
D2אאא،Q1EFא
- ١٠٣ -
אא
٢٠٦
א
אא
א
א
D1א،Q2אאא
KQ2
אא
א١ J٦
אא٢ J٦אא
Wא
Vorms
2
⎤
⎡2 T /2 2
2V s
2
(t ) T0 / 2 = V s
= ⎢ ∫ V s sin ωtd (ωt )⎥ =
T
⎦
⎣T 0
6-1
Wאאא
I orms ==
Vorms
R
6-2
- ١٠٤ -
אא
٢٠٦
א
אא
א
א
Vg1
Vg2
IQ1
IQ2
Io
Vo
אאא٢ J٦
א٢ J٦
EKKKKאFא
Single- Phase Bridge Inverter
Q1, ،٣ J٦אא
E J2VsFאQ3, Q4KE2VsFאאאQ2
אאD1, D2K٤ J٦אא
،אאאאQ3, Q4
KQ1, Q2אD3, D4
- ١٠٥ -
אא
٢٠٦
א
אא
א
א
א٣ J٦
אאא٤ J٦
אאא٤ J٦א
W
2
⎡2 T /2 2
⎤
8V s
Vorms = ⎢ ∫ 4V s sin 2 ωtd (ωt )⎥ =
(t ) T0 / 2 = 2V s
T
⎣T 0
⎦
6-3
Wאאא
I orms ==
Vorms
R
6-4
- ١٠٦ -
אא
٢٠٦
א
אא
א
א
Three- Phase Bridge Inverter א٣ J٦
א،אאאאאאאא
K٥ J٦אאא
180o180oאא
K٦ J٦
א٥ J٦
אאאאאא٦ J٦
- ١٠٧ -
אא
٢٠٦
א
אא
א
א
אא
؟אK١
KאאאK٢
؟אאאK٣
؟אאK٤
؟אאאאאאאאK٥
WאאאKאאאC 9K٦
Kאא J
Kאאאאאא J
Kאאאא J
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3. An Introduction to Power Electronics, B. M. Bird, K. G. King, and D. A. G. Pedder,
John Wiley & Sons, 1993.
4. Modern power Electronics, B. K. Bose, IEEE Press Publication, 1992.
5. Power Electronics: Circuits, Devices and Applications, M. H. Rashid, Prentice Hall,
1994.
6. Power Electronics: Converters, Applications, and Design, N. Mohan, T. M.
Undeland and W. T. Robbins, Jon Wiley & Sons, 1994
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- ٢ - ...................................................................................... אאאאWאא
- ٢ - ............................................................................ Semiconductors Used in Power Electronic Circuits
- ٢ - .......................................................... Types of Power Electronic Circuitsאאא١ J١
- ٣ - ...................................................................... (uncontrolled rectifier)אEאFא١ J١ J١
- ٣ - .............................................................................. (Controlled rectifier)אEאFא٢ J١ J١
- ٤ - ................................................................................. (ac voltage controller)אא٣ J١ J١
- ٤ - ................................................................................................. (dc chopper)אא٤ J١ J١
- ٥ - ............................................................................................................ (Inverter)א٥ J١ J١
- ٦ - ........................................................
Power Semiconductor Devicesאאא٢ J١
- ٦ - ................................................................................................................... Power diodeאא٣ J١
- ٨ - .............................................................................. General purpose diodeאאאא١ J٣ J١
- ٩ - ................................................................................. Fast recovery diodeאאא٢ J٣ J١
- ١٠ - ................................................................................................... Schottky diodeא٣ J٣ J١
- ١١ - .............................................................................. Thyristor and its typesאאא٤ J١
- ١١ - ............................................ Thyristor construction and operationא١ J٤ J١
- ١٣ - ............................................................................. Thyristor characteristicsאא٢ J٤ J١
- ١٥ - .......................................................................................Thyristor firingא٣ J٤ J١
- ١٦ - ...................................................................... Thyristor turn-offEאFא٤ J٤ J١
- ١٧ - ..................................................................................... Thyristor protectionא٥ J٤ J١
- ١٩ - .................................................................................................Thyristor typesאא٦ J٤ J١
- ٢٢ - ................................................................................................ Power Transistorאא ٥ J١
- ٢٢ - ........................................................................................................... BJTאאא١ J٥ J١
- ٢٤ - ............................................................................... MOSFETאאאאא٢ J٥ J١
- ٢٥ - .................................................................................. IGBTאאאאאא٣ J٥ J١
- ٢٦ - .......................................................................................................................אאא
- ٢٨ - ....................................................... Uncontrolled Rectifier CircuitsאאאאWאא
- ٢٨ - ................................................................... Single-phase rectifier circuitsאאא١ J٢
- ٢٨ - ....................................... The single-phase half-wave rectifierאאא١ J١ J٢
- ٣٤ - ........................................................................... אאאאא٢ J١ J٢
- ٣٧ - .................................................................................... אאאא٣ J١ J٢
- ٤٠ - ............................................................................................................................אאא٢ J٢
- ٤٢ - ..................................................................................................................... אאא٣ J٢
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- ٤٥ - .......................................................................................................................................... ٤ J٢
- ٥٠ - ...................................................................................................................... אא
- ٥٣ - .............................................................................. Controlled Rectifiers اﻟﻤﻮﺣﺪات اﻟﻤﺤﻜﻮﻣﺔ: اﻟﻮﺣﺪة اﻟﺜﺎﻟﺜﺔ
- ٥٣ - ............................................ Single Phase Half Wave Converter א ١-٣
- ٥٣ - .............................................................................. ﻣﻮﺣﺪ أﺣﺎدي اﻟﻮﺟﻪ ﻧﺼﻒ ﻣﻮﺟﺔ ﻣﺤﻜﻮم ﻣﻊ ﺣﻤﻞ ﻣﺎدي١-١-٣
- ٥٧ - ...................................................................... ﻣﻮﺣﺪ أﺣﺎدي اﻟﻮﺟﻪ ﻧﺼﻒ ﻣﻮﺟﺔ ﻣﺤﻜﻮم ﻣﻊ ﺣﻤﻞ ﻣﺎدي وﺣﺜﻲ٢-١-٣
- ٦٠ - ................................................ Single-Phase Semi-Converter א٢ J٣
- ٦٣ - ................................
Single- Phase Full -Wave Converterא ٣ J٣
- ٦٦ - ................................................................... Single -Phase Dual Converterאא א٤ J٣
- ٦٦ - .......................................... Three- Phase Half- Wave Converter אא א٥ J٣
- ٧٠ - ................................................ Three- Phase Semi-converter א א٦ J٣
- ٧١ - ........................................................ Three- Phase Full- Converter א א٧ J٣
- ٧٣ - .................................................................. Three- Phase Dual -Converterאא א٨ J٣
- ٧٣ - ....................................................................................................................................... ٩ J٣
- ٧٦ - ...................................................................................................................... אא
- ٧٩ - ........................................................................................ DC Choppers ﻣﻘﻄﻌﺎت اﻟﺘﻴﺎر اﻟﻤﺴﺘﻤﺮ: اﻟﻮﺣﺪة اﻟﺮاﺑﻊ
- ٧٩ - .......................................................................... Theory of Operationאא ١ J٤
- ٨٥ - .................................................................................... Step Down DC Choppers א א٢ J٤
- ٨٨ - ......................................................................................... Step- Up DC Choppers אא א٣ J٤
- ٨٩ - ...................................................................................................................... אאא
- ٩١ - ...................................................................AC Voltage Controllers ﺣﺎآﻤﺎت اﻟﺠﻬﺪ اﻟﻤﺘﻨﺎوب: اﻟﻮﺣﺪة اﻟﺨﺎﻣﺴﺔ
- ٩١ - .......................................................................... Theory Of Operationאא ١ J٥
- ٩١ - ............................................................................ On-Off Control اﻟﺘﺤﻜﻢ ﻓﻲ ﻓﺘﺮات اﻟﺘﺸﻐﻴﻞ واﻹﻳﻘﺎف١-١-٥
- ٩٤ - ................................................................... Phase Angle Control اﻟﺘﺤﻜﻢ ﻓﻲ زاوﻳﺔ إﺷﻌﺎل اﻟﺜﺎﻳﺮﺳﺘﻮر٢-١-٥
- ٩٥ - .......................................................................................... אאא٢ J٥
- ٩٦ - ...................................................................................... Single Phase Controller with inductive load
- ٩٨ - .......................................................................................................................................... ٣ J٥
- ١٠١ - ................................................................................................................... אא
- ١٠٣ - ........................................................................................................... Inverters اﻟﻌﻮاآﺲ: اﻟﻮﺣﺪة اﻟﺴﺎدﺳﺔ
- ١٠٣ - ...................................................................................................... Theory of Operationא١ J٦
- ١٠٥ - .................................................................... Single- Phase Bridge Inverter א٢ J٦
- ١٠٦ - ................................................................... Three- Phase Bridge Inverter א٣ J٦
- ١٠٨ - ............................................................................................................................ אא
١١١................................................................................................................................... اﻟﻤﺮاﺟﻊ اﻟﻌﺮﺑﻴﺔ واﻷﺟﻨﺒﻴﺔ
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