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8/7/2019 EE394V_DG_Week6
1/12
1 Alexis Kwasinski, 2010
Power electronic interfaces
Power electronic converters provide the necessary adaptation functions tointegrate all different microgrid components into a common system.
8/7/2019 EE394V_DG_Week6
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2 Alexis Kwasinski, 2010
Power electronic interfaces
Integration needs: Component with different characteristics:
dc or ac architecture. Sources, loads, and energy storage devices output.
Control issues: Stabilization
Operational issues: Optimization based on some goal
Efficiency (e.g. MPPT) Flexibility Reliability
Safety Other issues:
Interaction with other systems (e.g. the main grid)
8/7/2019 EE394V_DG_Week6
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3 Alexis Kwasinski, 2010
Power electronics basics
Types of interfaces: dc-dc: dc-dc converter ac-dc: rectifier dc-ac: inverter ac-ac: cycloconverter (used less often)
Power electronic converters components: Semiconductor switches:
Diodes MOSFETs IGBTs SCRs
Energy storage elements Inductors Capacitors
Other components: Transformer Control circuit
8/7/2019 EE394V_DG_Week6
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4 Alexis Kwasinski, 2010
Power electronics basics
Types of interfaces: dc-dc: dc-dc converter ac-dc: rectifier dc-ac: inverter ac-ac: cycloconverter (used less often)
Power electronic converters components: Semiconductor switches:
Diodes MOSFETs IGBTs SCRs
Energy storage elements Inductors Capacitors
Other components: Transformer Control circuit
Diode MOSFET
IGBT SCR
8/7/2019 EE394V_DG_Week6
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5 Alexis Kwasinski, 2010
Power electronics basics dc-dc converters
oV !Buck converter
1oV !
Boost converter
1oV !
Buck-boost converter
8/7/2019 EE394V_DG_Week6
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6 Alexis Kwasinski, 2010
Power electronics basics
Rectifiers
R ectifier Filter
t t t
vv v
8/7/2019 EE394V_DG_Week6
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7 Alexis Kwasinski, 2010
Power electronics basics
Inverters dc to ac conversion Several control techniques. The simplest technique is square wavemodulation (seen below).The most widespread control technique is Pulse-Width-Modulation (PWM).
8/7/2019 EE394V_DG_Week6
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8 Alexis Kwasinski, 2010
Power electronics basic concepts
Energy storage When analyzing the circuit, the state of each energy storage elementcontributes to the overall systems state. Hence, there is one state variableassociated to each energy storage element.
In an electric circuit, energy is stored in two fields: Electric fields (created by charges or variable magnetic fields andrelated with a voltage difference between two points in the space) Magnetic fields (created by magnetic dipoles or electric currents)
Energy storage elements: Capacitors: Inductors:
C L
8/7/2019 EE394V_DG_Week6
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9 Alexis Kwasinski, 2010
Power electronics basic concepts
Capacitors: state variable: voltage Fundamental circuit equation:
The capacitance gives an indication of electric inertia. Compare theabove equation with Newtons
Capacitors will tend to hold its voltage fixed. For a finite current with an infinite capacitance, the voltage must beconstant. Hence, capacitors tend to behave like voltage sources (thelarger the capacitance, the closer they resemble a voltage source) A capacitors energy is
C C
dvi C
dt !
dvm
dt !
r r
212
C W C v!
8/7/2019 EE394V_DG_Week6
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10 Alexis Kwasinski, 2010
Power electronics basic concepts Inductors
state variable: current Fundamental circuit equation:
The inductance gives an indication of electric inertia. Inductors willtend to hold its current fixed.Any attempt to change the current in an inductor will be answered withan opposing voltage by the inductor. If the current tends to drop, thevoltage generated will tend to act as an electromotive force. If thecurrent tends to increase, the voltage across the inductor will drop, like
a resistance. For a finite voltage with an infinite inductance, the current must beconstant. Hence, inductors tend to behave like current sources (thelarger the inductance, the closer they resemble a current source) An inductors energy is
LL
d iv L
d t !
21
2
LW L i!
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11 Alexis Kwasinski, 2010
Power electronics basics
Harmonics Concept: periodic functions can be represented by combiningsinusoidal functions
Underlying assumption: the system is linear (superposition principleis valid.) e.g. square-wave generation.
01
( ) cos( )n nn
f t c c n t [ Ug
!
!
8/7/2019 EE394V_DG_Week6
12/12
12 Alexis Kwasinski, 2010
Power electronics basics
Additional definitions related with Fourier analysis
01
( ) ( cos( ) sin( ))n nn
f t a a n t b n t [ [ g
!
!
2( ) cos( )
T
na f t n t d t T X
X
[ !
1tan nnn
ba
U !
0
1( )
T
a f t d t T
X
X
!
2( )sin( )
T
nb f t n t d t T X
X
[ !
2 2n n nc a b! 0 0 (dc components)a c!