DC/DC converters + 1φ modulation
L3: 28-JAN-2019
Lund University / LTH / IEA / AR / EIEN25 / 2019-01-28 1
L3: DC/DC converters + 1φ modulation
• Learning & understanding – simulation tools• Electric power converters
– Conversions, connections & operation quadrants• DC/DC converters – choppers
– Power flow, energy storage,– 1QC & 2QC
• Switching and modulation• Power switches – types and features
– States, commutation and power losses
Lund University / LTH / IEA / AR / EIEN25 / 2019-01-28 2
Focus and perspectives• Power electronics is the study of switchingelectronic circuits in order to control the flow of electrical energy
H. Wang, M. Liserre, F. Blaabjerg, P. de Place Rimmen, J. B. Jacobsen, T. Kvisgaard, J. Landkildehus“Transitioning to Physics-of-Failure as a ReliabilityDriver in Power Electronics”, IEEE J. of Emerging and Selected Topics in Pow. El., vol. 2, no. 1, march 2014
Lund University / LTH / IEA / AR / EIEN25 / 2019-01-28 3
Learning through simulations• Matlab: Simulink or
SimPowerSystems• LTspice IV: components
and subsystems
Switch!Switching?
Lund University / LTH / IEA / AR / EIEN25 / 2019-01-28 4
From Switch to Bridge & Converter• One switch – one quadrant ….• … another switch but control nearly
the same– States s– Duty D– Repetition rate fsw
• More switches …– Parrallel series connection for power
need, otherwise Q2 levels & phases• …more switching options
– Modulation = carrier + modulating signal
Branches & phases
Leve
ls
Lund University / LTH / IEA / AR / EIEN25 / 2019-01-28 5
Electric Power Converters
• Loads and sources at different voltage/power levels
• Converter has or can have different stages– dc-dc conversion via AC-link and transformer
provides galvanic insulation/separation– Switching at higher frequency provides size
reduction of transformers and inductors S=UI→S/Vtr~ωBJ
DC power
Choppers
AC power
AC converters
Inverters
Rectifiers
Power connectivity
G. Ortiz, J. Biela and J. W. Kolar, “Optimized Design of Medium Frequency Transformers with High Isolation Requirements”, IECON 2010
Lund University / LTH / IEA / AR / EIEN25 / 2019-01-28 6
PEC: Conceptualization & classification• Range of power electronic
converters (PEC)– Purpose → function & control– Realization → selection of devices
and circuits• Classification according to
– Circuitry (Bridge), controllability of switches, Number of phases in AC side, …
• Modularity enables flexibility, scalability and high availability to meet the needs
• Bibliometric network connecting PEC function and application
Source converters
Networkconverters
Loadconverters
applications
power
functions
P. Purgat and J. Gerber-Popovic and P. Bauer, ”Modularity in power electronics: Conceptualization, classification and outlook”, IECON 2017 pp. 1307-1312
Lund University / LTH / IEA / AR / EIEN25 / 2019-01-28 7
PEC “sides” & connections• Power switches are
connected from voltage stiff circuit to current stiff
• PEC are built with capacitive side and inductive
• Voltage is modulated in inductive side due to high impedance to the voltage transients like currentmodulation is in capacitiveside
U
i
-
+
Ui
-
+
iU
i
U
inverters
DC converters
AC converters
rectifiers
2.1
Lund University / LTH / IEA / AR / EIEN25 / 2019-01-28 8
Voltage conditioning
• Voltage transforming property – U2=N2/N1*U1 vs V2=D*V1 Step-down (N2N1)
• AC: U1→ωψ1 → ωN1 → ωN2 →ωψ2 →U2 • DC: energy storage needed to boost current or voltage
DC power
Voltage level adjusted by switched area [Vs]
AC power
Flux [Vs] intransformer cores
Voltage area & flux [Vs]
N1 N2
Lund University / LTH / IEA / AR / EIEN25 / 2019-01-28 9
DC/DC converters• Q1: storage needed to boost
current or boost voltage– Commutation and transients –
are you familiar?
• Q2: switching between two voltage levels
– Need of storage components?– Are you able to determine
power flow directions?
• Q4: pair of Q2 = bridge creating bidirectional voltage
V1=100%
V1
I1
V2
I2
Step up
Step down
Lund University / LTH / IEA / AR / EIEN25 / 2019-01-28 10
Commutation transients• Energizing / energizing an inductor
• Charging / discharging a capacitor
• Heating / cooling a specimen
LsRsUsItfeIIoffeIIon
dtdILRIU
tLRt
LR
1::1: 00
sRCsU
sUtfUeUoffeUUondt
dURCUU Ct
RCC
tRC
CC
C
11::1:
11
thth
tCR
tCR
thth
h CsRsPstfeoffeon
dtdC
RP thththth
11::1:
1
0
1
0 What circuit, w
hich response?
try it out! What is difference be
tween
Electric and thermal circuit?
Lund University / LTH / IEA / AR / EIEN25 / 2019-01-28 11
Operation quadrants• Q1: u>0, i>0, T>0, ω>0• Q2: bidirectional voltage
and speed, i>0, T>0• Q2: bidirectional current
and torque, u>0, ω>0• Q4: bidirectional voltage,
current, speed and torque
M
voltagespeed
currenttorque
G
GM
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Q1, Q2 & Q4 converters
• Q1-buck and Q1-boost are connected to the same “storage”inductor to form Q2 that allows bidirectional current in the inductor
• Q2 + Q2 = Q4 so that potentials va and vb can provide both bidirectional current and voltage
q1:buck
D
V1
-
+
q2:boost
q3:buck
q4:boost
q4
q1
q3
q2 u
i
eva vb
Lund University / LTH / IEA / AR / EIEN25 / 2019-01-28 13
Q1: Step-down vs Step-up
1
12
2
2
21
1 V
TVDLIV
DVV
o
i
• Continuous mode IL>0
• Discontinuous mode IL≥0IL VL
t
off
onD*T
T
IL VLt
off
onD*T
T
V2
- -
L
D R
V1IL
+
+
IL VLt
off
onD*T
T
IL VLt
off
onD*T
T
• Continuous mode IL>0
• Discontinuous mode IL≥0
L
D
R
V1
V2
IL1
21
2
12
21
11
VLI
TDUV
VD
V
o
i
Lund University / LTH / IEA / AR / EIEN25 / 2019-01-28 14
LTspice: buck vs boost• fsw=10kHz• D=50% duty• 10Ω load• Step down (left)
– 100→50V– Input pulsating
• Step up (right)– 50→100V– Output pulsating
Lund University / LTH / IEA / AR / EIEN25 / 2019-01-28 15
Q2: 2-level voltage• Two level voltage gives
bidirectional current and not reversible voltage
• The mid point of the dclink voltage is used as reference ”0”
Lund University / LTH / IEA / AR / EIEN25 / 2019-01-28 16
LTspice: Q2 bidirectional charger• Left: charging
D=4/5• Right: discharging
D=1/5• Driving voltage• Load current• Flow direction• Voltages and
currents on components
• Power losses
Lund University / LTH / IEA / AR / EIEN25 / 2019-01-28 17
LTspice: Q2 S1→S2 & S2→S1 • Instant traverse
from on-to-off an vice versa, accepted?
• The switchingtransient is not immediate
• The turn on is delayed but not turn off
– blanking or interlock time
LTspice vs Simulink• Ideal components, same
control and identicalinitial conditions .ic() gives same outcomes
• Simulink is sufficient focusing on control and process outcomes
Lund University / LTH / IEA / AR / EIEN25 / 2019-01-28 18
Lund University / LTH / IEA / AR / EIEN25 / 2019-01-28 19
Modulation: control of voltage area y
dttuYT
k0
0
• Control signal parameters– Switching frequency fsw=1/Ts– Pulse width related to duty Tpw– Pulse position Δton
• Reference voltage = voltage area defined by switch state s={0,1} and switch voltage uk
• Voltage surface formation by positive, negative or bothpositive and negative flank
t
uTpw
Ts
Δton
tu*
τ-
tu*
τ+
tu*
τ+ τ-
dtuy k
0
dtuyT
k
dtuy
dtuy
T
Tk
T
k
2/
2/
2/
2.2
Tyu
Lund University / LTH / IEA / AR / EIEN25 / 2019-01-28 20
Carrier wave modulation
• Pulse width Modulation PWM– Pulse width Tpw→ voltage time area y → desired average output
voltage u– Identification of maximum voltage area Y0 and control twice per
period for triangular-wave
• Spread Spectrum PWM– Reducing electromagnetic interference (EMI) and noise
2.3
Lund University / LTH / IEA / AR / EIEN25 / 2019-01-28 21
Power Switch• Switch states
– Off, s=0, blocking– On, s=1, conducting
• Current and voltage directions
– Unidirectional vs bidirectional (reverse conducting RS)
– Forward blocking vs forward and reverse blocking (voltage)
Gate (G)
Anode (A)Collector (C)Drain (D)
Chatode (K)Emitter (E)Source (S)
Vs
Is
Uni-Is Bi-IsUni-Vs Parallel diodeBi-Vs Series diode symmetricIs
Vs
toff offon
Lund University / LTH / IEA / AR / EIEN25 / 2019-01-28 22
Semiconductor devices & technologies• Semiconductor materials
– Silicon (Si), Silicon carbide (Sic), Gallium nitride (GaN)
• Semiconductor types– Un-, semi- and controlled– Bi and unipolar (field effect) FET– Junction
• Semiconductor devices (SCD)– Thyristors (SCR, GTO, Triac),
Transistors (BJT, MOSFET, IGBT)• Wide-bandgap (WBG) SCD allows
operating at higher voltages, frequencies & temperatures
109
108
107
106
105
104
103
102
102 103 104 105 106 107 108 109
31Ga
7N
14Si
6C
14Si
Hz
W
WBG
Lund University / LTH / IEA / AR / EIEN25 / 2019-01-28 23
Volt-Ampere Characteristics• Reverse blocking
– Reverse leakage– Reverse breakdown
• Forward blocking– Forward leakage– Latching voltage/current– Forward breakdown
• Forward conducting– Cut-in voltage– Specific on resistance
breakdown
reverse
forward
overloadon
off
Is
Us
Diode
Switch
Lund University / LTH / IEA / AR / EIEN25 / 2019-01-28 24
Ideal and Real Switch
• Switching transient takes time and causes power losses in switching devices
– Use switching delay to prevent overlapping transients in the branch
– Calculate energy losses by following switching states (conducting and blocking) and switch transitions (turn-on, turn -off)
IsVs
toff off
on
6.1
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