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Space Vector PWM(3-Level)
Reference voltage
This input, labeled V

,is a two-dimensional vector signal comprising the
elements [V
;V
].
Switch output
The output labeled sw is formed from the three switch signals [S
a
;S
b
;S
c
],
which control the converter legs A, B and C. Each switch signal deter-
mines if the corresponding ac terminal shall be connected to the positive,
neutral or negative side of the dc link.
Probe Signals
sector
Avalue in the set of [1::6] that indicates the sector in which the reference
vector,
~
V
,is located.
zone
Avalue in the set of [1::4] that indicates the zone in which the reference
vector,
~
V
,is located.
tau
Avector signal comprising the three relative on-time values, [
a
;
b
;
c
].
sw
Avector signal consisting of the three gate signals for the inverter legs,
[S
a
;S
b
;S
c
].
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13
Component Reference
SR Flip-flop
Purpose
Implement set-reset flip-flop
Library
Control / Logical
Description
The SR Flip-flop behaves like a pair of cross-coupled NOR logic gates. The
output values correspond to the following truth table:
S
R
Q
/Q
0
0
No change
No change
0
1
0
1
1
0
1
0
1
1
Restricted (0)
Restricted (0)
The combination S = R = 1 is restricted because both outputs will be set to 0,
violating the condition Q = not(/Q). If both inputs change from 1 to 0 in the
same simulation step, Q will be set to 0 and /Q to 1.
Parameter
Initial state
The state of the flip-flop at simulation start.
Probe Signals
S
The input signal S.
R
The input signal R.
Q
The output signals Q.
/Q
The output signals /Q.
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State Space
State Space
Purpose
Implement linear time-invariant system as state-space model
Library
Control / Continuous
Description
 
The State Space block models a state space system of the form
_x = Ax + Bu;y = Cx + Du, where x is the state vector, u is the input vector,
and y is the output vector.
Parameters
A,B,C,D
The coefficient matrices for the state space system. The dimensions for the
coefficient matrices must conform to the dimensions shown in the diagram
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The Step block generates an output signal that changes its value at a given
point in time.
Parameters
Step time
The time at which the output signal changes its value.
Initial output
The value of the output signal before the step time is reached.
Final output
The value of the output signal after the step time is reached.
Probe Signal
Output
The block output signal.
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Subsystem
Subsystem
Purpose
Create functional entity in hierarchical simulation model
Library
System
Description
Asubsystem block represents a system within another system. In order to
create a subsystem, copy the subsystem block from the library into your
schematic. You can then open the subsystem block and copy components into
the subsystem’s window.
The input, output, and physical terminals on the block icon correspond to the
input, output, and physical port blocks in the subsystem’s schematic. If the
block names are not hidden, they appear as terminal labels on the subsystem
block.
You can move terminals with the mouse around the edges of the subsystem by
holding down the Shift key while dragging them with the left mouse button
or by using the middle mouse button.
Virtual and Atomic Subsystems
By default, PLECS treats subsystems as virtual, which means that they only
represent a graphical grouping of the components that they comprise. At sim-
ulation start, virtual subsystems are flattened and the components they com-
prise are ordered individually when PLECS determines their proper execution
order (see “Block Sorting” on page 31).
In an atomic subsystem, on the other hand, the components are not only
grouped graphically but they are also executed as a group. This is necessary
if the execution depends on a condition such as a common sample time or an
enable and/or a trigger signal (see the Enable block on page 339 and the Trig-
ger block on page 613).
Whether a subsystem is virtual or atomic is controlled by the subsystem exe-
cution settings.
Note A subsystem that has physical terminalscannotbe made atomic.
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13
Component Reference
Execution
Settings
To open the dialog for editing the subsystem settings, select the block, then
choose Execution settings... from the Subsystem submenu of the Edit
menu or the block’s context menu.
Treat as atomic unit
If this parameter is checked, PLECS treats the subsystem as atomic, oth-
erwise as virtual (see “Virtual and Atomic Subsystems” above).
Minimize occurrence of algebraic loops
This parameter only applies to atomic subsystems. If it is unchecked,
PLECS assumes that all inputs of the subsystem have direct feedthrough,
i.e. the output functions of the blocks feeding these inputs must be exe-
cuted before the output function of the subsystem itself can be executed
(see “Block Sorting” on page 31). If the atomic subsystem is part of a feed-
back loop this can result in algebraic loop errors where a virtual subsys-
tem could be used without problems.
If the parameter is checked, PLECS determines the actual feedthrough be-
havior of the individual inputs from the internal connectivity. A subsystem
input that is internally only connected to non-direct feedthrough inputs of
other blocks (e.g. the inputs of Integrator, Memory or Delay blocks) does
not have direct feedthrough. This can help reduce the occurrence of alge-
braic loops.
Sample time
This parameter only applies to atomic subsystems and specifies the sample
time, with which the subsystem and the components that it comprises are
executed.
Parameters
You can create a dialog box for your Subsytem by masking the block (see
“Mask Parameters” on page 64 for more details).
534
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Sum
Sum
Purpose
Add and subtract input signals
Library
Control / Math
Description
The Sum block adds or subtracts input signals. In case of a single input, all
elements of the input vector are summed or subtracted. Vectorized input sig-
nals of the same width are added or subtracted element wise and result in a
vectorized output signal. If vectorized and scalar input signals are mixed, the
scalar input signals are expanded to the width of the vectorized input signals.
Parameters
Icon shape
Specifies whether the block is drawn with a round or a rectangular shape.
Round shape icons permit a maximum of three inputs.
List of signs or number of inputs
The inputs can be specified either with
 a string containing
+
or
-
for each input and
|
for spacers, or
 a positive integer declaring the number of summands.
Probe Signals
Input i
The ith input signal.
Output
The block output signal.
535
13
Component Reference
Switch
Purpose
On-off switch
Library
Electrical / Switches
Description
This Switch provides an ideal short or open circuit between its two electrical
terminals. The switch is open when the input signal is zero, otherwise closed.
Parameter
Initial conductivity
Initial conduction state of the switch. The switch is initially open if the pa-
rameter evaluates to zero, otherwise closed. This parameter may either be
ascalar or a vector corresponding to the implicit width of the component.
The default value is
0
.
Probe Signal
Switch conductivity
Conduction state of the switch. The signal outputs 0 if the switch is open,
and 1 if it is closed.
536
Switched Reluctance Machine
Switched Reluctance Machine
Purpose
Detailed model of switched reluctance machine with open windings
Library
Electrical / Machines
Description
These components represent analytical models of three common switched re-
luctance machine types: three-phase 6/4 SRM, four-phase 8/6 SRM and five-
phase 10/8 SRM.
The machine operates as a motor or generator; if the mechanical torque has
the same sign as the rotational speed the machine is operating in motor mode,
otherwise in generator mode. In the component icon, the positive terminals of
the stator windings are marked with a dot.
Note The Switched Reluctance Machine models can only be simulated with
the Continuous State-Space Method.
The machine flux linkage is modeled as a non-linear function of the stator cur-
rent and rotor angle  (i;) accounting for both the magnetization characteris-
tic of the iron and the variable air gap.
∂Ψ/∂i = L
a
∂Ψ/∂i = L
sat
∂Ψ/∂i = L
u
i
Ψ
Ψ
sat
537
13
Component Reference
In the unaligned rotor position the flux linkage is approximated as a linear
function:
 
u
(i) = L
u
i
In the aligned rotor position the flux linkage is a non-linear function of the
stator current:
 
a
(i) =  
sat
1 e
Ki
+L
sat
i
where
K=
L
a
L
sat
 
sat
For intermediate rotor positions the flux linkage is written as a weighted sum
of these two extremes
 (i;) =  
u
(i)+ f()( 
a
(i)   
u
(i))
using the weighting function
f() =
1
2
+
1
2
cos
N
r
+2 
x
N
s

where N
r
is the number of rotor poles, N
s
is the number of stator poles, and
x= 0:::(N
s
=2  1) is the index of the stator phase.
Electrical System
∂Ψ/∂i
R
∂Ψ/∂θ∙ω
+
v
i
The terminal voltage of a stator phase is determined by the equation
v= R i+
dt
=Ri +
@i
di
dt
+
@
d
dt
The electromagnetic torque produced by one phase is the derivative of the co-
energy with respect to the rotor angle:
T(i;) =
@
@
i
0
 (i
0
;)di
0
538
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