SIMPLORER User Manual V6.0 - FER-a

Flux-linkage equations
ψ1d() t = i1d() t ⋅ L1d + i2d() t ⋅ Lm12d + k
ψ1q() t = i1q() t ⋅ L1q + i2d() t ⋅ L
m12q
ψ2d() t = i1d() t ⋅ Lm12d + i2d() t ⋅ L2d + k
e
ψ2q() t = i1q() t ⋅ Lm12q + i2q() t ⋅ L2q Torque equation
Motion equation
dω
-------------
() t
dt
=
1
-- ( m
J i() t – mw() t )
SIMPLORER 6.0 — Manual 179
Voltage equations
v1d() t
dψ1d() t
= i1d() t ⋅ R1 + ------------------ – p ⋅ ω() t ⋅ ψ1q() t
dt
dψ2d() t
0 = i2d() t ⋅ R ------------------
2 +
dt
v1q() t
dψ1q() t
= i1q() t ⋅ R1 + ------------------ + p ⋅ ω() t ⋅ ψ1d() t
dt
dψ2q() t
0 = i2q() t ⋅ R2 + -----------------dt
mi() t
=
3
--p ⋅ ( ψ
2 1d() t ⋅ i1q() t – ψ1q() t ⋅ i1d() t )
Electrical coupling of phase quantities with the orthogonal quantities
γ() t = p ⋅ ω() t dt
v1α() t
v1β() t
v1d() t
v1q() t
=
=
=
∫
2
--v
1
3 1a() t --v
1
–
3 1b() t – --v
3 1c() t
3 3
------v
3 1b() t – ------v
3 1c() t
v1α() t ⋅ cos(
γt () ) + v1β() t ⋅ sin(
γt () )
= v1α() t ⋅ sin(
γt () ) – v1β ⋅ cosγ()
t
Dialog Settings
� «Parameters»
Click the «Value» field of the corresponding parameter to define a value. Common parameter
types. Enter a numerical value, a variable, or an expression. Look the meaning up in the parameter
table below.
� «Initial Values»
Click the «Value» field of the corresponding parameter to define the initial values. Common
parameter types. Enter a numerical value, a variable, or an expression. The values are set only
once at simulation start. Look the meaning up in the parameter table below.
� «Angular Dimension»
In the list, select radians or degrees for the angular dimension. The dimension is valid for all
angle input quantities in the machine model.
Component Parameters
e
i1α() t = i1d() t ⋅ cos(
γt () ) – i1q() t ⋅ sin(
γt () )
i1β() t
= i1d() t ⋅ sin(
γt () ) + i1q() t ⋅ cos(
γt () )
i1a() t = i1α() t
i1b() t
1
--i
3
= –
2 1α() t + ------i
2 1β() t
i1c() t
1
--i
3
=
–
2 1α() t – ------i
2 1β() t
Description [Unit] Parameter Name Data Type
Load Torque [Nm] LOAD real
Stator Resistance [Ω] R1 real