Switched reluctance machine with even pole-phase index
Various embodiments are described herein for switched reluctance machine configurations. In at least one embodiment, a switched reluctance machine configured according to the teachings herein comprises a stator including a predetermined number of salient stator poles (N s ), a rotor rotatably mounted with respect to the stator, with the rotor comprising a plurality of salient rotor poles, and a plurality of coils provided around the predetermined number of stator poles to form at least one phase of the switched reluctance machine, where the rotor poles and the stator poles are symmetrically disposed, and a number of rotor poles is related to 0□ and a number of phases according to: i) (N s /m)k ceil (mod(k,m)/m) number of phases, and ii) (N s /m)k ceil (mod(k,m/2)/m/2) for an even number of phases, where m is the number of phases, and k is a configuration index based on N s and m.
1. A switched reluctance machine comprising:
a stator including a predetermined number of stator poles, wherein each stator pole is a salient pole, wherein the stator has only a single tooth per stator pole;
a rotor rotatably mounted with respect to the stator, the rotor comprising a plurality of rotor poles, wherein the plurality of rotor poles are salient poles; and
a plurality of coils provided around the predetermined number of stator poles to form at least one phase of the switched reluctance machine, the plurality of coils adapted to carry electric current to generate magnetic flux,
wherein the plurality of rotor poles and the predetermined number of stator poles are symmetrically disposed, and
wherein a number of rotor poles is related to the predetermined number of stator poles and a number of phases according to:
(
N
s
m
)
k
ceil
(
mod
(
k
,
m
)
m
)
,
if the number of phases is an odd number, and
(
N
s
m
)
k
ceil
(
mod
(
k
,
m
2
)
m
2
)
,
if the number of phases is an even number,
wherein N s is the predetermined number of stator poles, m is the number of phases, and k is a configuration index based on the predetermined number of stator poles and the number of phases,
wherein a pole-phase index is an even number, the pole-phase index being a ratio of the predetermined number of stator poles to the number of phases.
2. The switched reluctance machine of claim 1 , wherein if the number of phases is 3 and the pole-phase index is 2, the configuration index is determined according to:
k
=
{
m
+
1
2
+
4
,
m
+
1
2
+
5
,
m
+
1
2
+
6
,
…
}
-
(
m
+
1
2
+
8
)
.
3. The switched reluctance machine of claim 1 , wherein if the number of phases is 3 and the pole-phase index is 4, the configuration index is determined according to:
k
=
{
m
+
1
2
+
3
,
m
+
1
2
+
4
,
m
+
1
2
+
5
,
…
}
.
4. The switched reluctance machine of claim 1 , wherein if the number of phases is 3 and the pole-phase index is equal to or greater than 6, the configuration index is determined according to:
k
=
{
m
+
1
2
+
1
,
m
+
1
2
+
2
,
m
+
1
2
+
3
,
…
}
.
5. The switched reluctance machine of claim 1 , wherein if the number of phases is 4 and the pole-phase index is 2, the configuration index is determined according to:
k
=
{
m
+
2
2
+
5
,
m
+
2
2
+
6
,
m
+
2
2
+
7
,
…
}
.
6. The switched reluctance machine of claim 1 , wherein if the number of phases is 4 and the pole-phase index is 4, the configuration index is determined according to:
k
=
{
m
+
2
2
+
3
,
m
+
2
2
+
4
,
m
+
2
2
+
5
,
…
}
.
7. The switched reluctance machine of claim 1 , wherein if the number of phases is 4 and the pole-phase index is equal to or greater than 6, the configuration index is determined according to:
k
=
{
m
+
2
2
+
1
,
m
+
2
2
+
2
,
m
+
2
2
+
3
,
…
}
.
8. The switched reluctance machine of claim 1 , wherein if the number of phases is 5 and the pole-phase index is 2, the configuration index is determined according to:
k
=
{
m
+
1
2
+
4
,
m
+
1
2
+
5
,
…
}
-
(
m
+
1
2
+
6
)
.
9. The switched reluctance machine of claim 1 , wherein if the number of phases is 5 and the pole-phase index is 4, the configuration index is determined according to:
k
=
{
m
+
1
2
+
2
,
m
+
1
2
+
3
,
m
+
1
2
+
4
,
…
}
.
10. The switched reluctance machine of claim 1 , wherein if the number of phases is 5 and the pole-phase index is equal to or greater than 6, the configuration index is determined according to:
k
=
{
m
+
1
2
,
m
+
1
2
+
1
,
m
+
1
2
+
2
,
…
}
.
11. The switched reluctance machine of claim 1 , wherein if the number of phases is 6 and the pole-phase index is 4, the configuration index is determined according to:
k
=
{
m
+
2
2
+
2
,
m
+
2
2
+
3
,
m
+
2
2
+
4
,
…
}
.
12. The switched reluctance machine of claim 1 , wherein if the number of phases is 6 and the pole-phase index is equal to or greater than 6, the configuration index is determined according to:
k
=
{
m
+
2
2
,
m
+
2
2
+
1
,
m
+
2
2
+
2
,
…
}
.
13. The switched reluctance machine of claim 1 , wherein if the number of phases is 7 and the pole-phase index is 2, the configuration index is determined according to:
k
=
{
m
+
1
2
+
5
,
m
+
1
2
+
6
,
m
+
1
2
+
7
…
}
-
(
N
s
-
1
)
.
14. The switched reluctance machine of claim 1 , wherein if the number of phases is 7 and the pole-phase index is equal to or greater than 4, the configuration index is determined according to:
k
=
{
m
+
1
2
,
m
+
1
2
+
1
,
m
+
1
2
+
2
,
…
}
.
15. The switched reluctance machine of claim 1 , wherein if the number of phases is 8 and the pole-phase index is 2, the configuration index is determined according to:
k
=
{
m
+
2
2
+
2
,
m
+
2
2
+
3
,
m
+
2
2
+
4
,
…
}
-
(
N
s
-
1
)
.
16. The switched reluctance machine of claim 1 , wherein if the number of phases is 8 and the pole-phase index is equal to or greater than 4, the configuration index is determined according to:
k
=
{
m
+
2
2
,
m
+
2
2
+
1
,
m
+
2
2
+
2
,
…
}
.
17. The switched reluctance machine of claim 1 , wherein if the number of phases is 9 and the pole-phase index is 2, the configuration index is determined according to:
k
=
{
m
+
1
2
+
3
,
m
+
1
2
+
4
,
m
+
1
2
+
5
…
}
-
(
N
s
-
1
)
.
18. The switched reluctance machine of claim 1 , wherein if the number of phases is 9 and the pole-phase index is equal to or greater than 4, the configuration index is determined according to:
k
=
{
m
+
1
2
,
m
+
1
2
+
1
,
m
+
1
2
+
2
,
…
}
.
19. The switched reluctance machine of claim 1 , wherein if the number of phases is equal to or greater than 10, the configuration index is determined according to:
k
=
{
m
+
2
2
,
m
+
2
2
+
1
,
m
+
2
2
+
2
,
…
}
-
(
N
s
-
1
)
,
if the number of phases is an even number, and
k
=
{
m
+
1
2
,
m
+
1
2
+
1
,
m
+
1
2
+
2
,
…
}
-
(
N
s
-
1
)
,
if the number of phases is an odd number.
20. A method for manufacturing a switched reluctance machine having a plurality of rotor poles and a predetermined number of stator poles comprising:
determining a number of phases and the predetermined number of stator poles;
determining a number of the rotor poles based on the predetermined number of stator poles and the number of phases according to
(
N
s
m
)
k
ceil
(
mod
(
k
,
m
)
m
)
,
if the number of phases is an odd number, and
(
N
s
m
)
k
ceil
(
mod
(
k
,
m
2
)
m
2
)
,
if the number of phases is an even number,
wherein N s is the predetermined number of stator poles, m is the number of phases, and k is a configuration index based on the predetermined number of stator poles and the number of phases,
wherein a pole-phase index is an even number, the pole-phase index being a ratio of the predetermined number of stator poles to the number of phases;
providing a stator having the predetermined number of stator poles, wherein each stator pole is a salient stator pole and the predetermined number of stator poles are symmetrically disposed, and wherein the stator has only a single tooth per stator pole;
rotatably mounting a rotor with respect to the stator, the rotor comprising the plurality of rotor poles corresponding to the number of rotor poles, wherein the plurality of rotor poles are salient poles and the plurality of rotor poles are symmetrically disposed; and
winding a plurality of coils around the predetermined number of stator poles to form a plurality of phases of the switched reluctance machine, the plurality of coils adapted to carry electric current to generate magnetic flux, and the plurality of phases corresponding to the number of phases.