Multi-teeth switched reluctance motor

1. A switched reluctance machine comprising:

an axially extending shaft;

an axially extending rotor mounted to the shaft, the rotor having a plurality of salient rotor poles;

an axially extending stator disposed coaxially and concentrically with the rotor, the stator having a plurality of salient stator poles protruding radially from the stator towards the rotor poles, the stator further having a plurality of stator teeth and tooth-tips; and

a plurality of electrical coils wound about the stator poles, the plurality of electrical coils including a plurality of separate phase coils defining a plurality of phases of the switched reluctance machine,

wherein a number of stator poles is related to a number of rotor poles, a number of stator teeth, a number of stator teeth per stator pole, and a number of phases, according to equation (1) and at least one constraint condition:

N

s

=

N

t

×

LCM

⁡

(

N

s

,

N

r

)

N

r

×

N

ph

×

S

(

1

)

wherein

S

=

N

t

N

s

,

and

wherein the at least one constraint condition comprises equations (2)-(4):

if S= 2, then 2 N s +2≠ N r ,  (2)

if N ph =3, then N t −2≠ N r ,  (3)

if N ph =3 and S= 2, then N t −4≠ N r ,  (4),

wherein N s is the number of stator poles, N r is the number of rotor poles, N t is the number of stator teeth, N ph is the number of phases, S is the number of stator teeth per stator pole, and LCM is the lowest common multiple of number of stator poles and number of rotor poles.

2. The switched reluctance machine of claim 1 , wherein the at least one constraint condition further comprises equation (5):

If | N s −N r |=2 p 1 and | N t −N r |=2 p 2 ; p 1 >p 2 and mod( p 1, p 2)=0  (5).

3. The switched reluctance machine of claim 1 , wherein the at least one constraint condition further comprises equation (6):

GCD ( N s ,N r )= GCD ( N t ,N r )  (6).

4. The switched reluctance machine of claim 1 , wherein the at least one constraint condition further comprises equation (7):

GCD ( N t ,N r )=Number of stator pole per phase which is at unaligned position  (7).

5. The switched reluctance machine of claim 1 , wherein the at least one constraint condition further comprises equation (8), wherein β is any value between a range of about 0.35 and 0.4 if N r >N t :

(

360

-

360

×

N

s

N

r

N

s

)

-

360

×

β

N

r

>

180

N

s

.

(

8

)

6. The switched reluctance machine of claim 1 , wherein the at least one constraint condition further comprises a higher length of gap between adjacent rotor poles of the plurality of rotor poles than an arc length of a stator teeth to maintain an unaligned position.

7. The switched reluctance machine of claim 1 , wherein the at least one constraint condition further comprises a rotor pole arc length and a stator teeth arc length, each being larger than or equal to

2

⁢

π

N

r

⁢

N

ph

to maintain non-overlapping inductance.

8. A method of manufacturing a switched reluctance machine having an axially extending shaft, an axially extending rotor mounted to the shaft, an axially extending stator disposed coaxially and concentrically with the rotor, the rotor having a plurality of salient rotor poles, the stator having a plurality of salient stator poles protruding radially from the stator towards the rotor poles, the stator further having a plurality of stator teeth and tooth-tips, the switched reluctance machine further having a plurality of electrical coils wound about the stator poles to define a plurality of phases of the switched reluctance machine, the method comprising:

determining a number of stator poles according to equation (1) and at least one constraint condition:

N

s

=

N

t

×

LCM

⁡

(

N

s

,

N

r

)

N

r

×

N

ph

×

S

(

1

)

wherein

S

=

N

t

N

s

,

and

wherein the at least one constraint condition comprises equations (2)-(4):

if S= 2, then 2 N s +2≠ N r ,  (2)

if N ph =3, then N t −2≠ N r ,  (3)

if N ph =3 and S= 2, then N t −4≠ N r ,  (4),

wherein N s is a number of stator poles, N r is a number of rotor poles, N t is a number of stator teeth, N ph is a number of phases, S is a number of stator teeth per stator pole, and LCM is a lowest common multiple of number of stator poles and number of rotor poles.

9. The method of claim 8 , wherein the at least one constraint condition further comprises equation (5):

If | N s −N r |=2 p 1 and | N t −N r |=2 p 2 ; p 1 >p 2 and mod( p 1, p 2)=0  (5).

10. The method of claim 8 , wherein the at least one constraint condition further comprises equation (6):

GCD ( N s ,N r )= GCD ( N t ,N r )  (6).

11. The method of claim 8 , wherein the at least one constraint condition further comprises equation (7):

GCD ( N t ,N r )=Number of stator pole per phase which is at unaligned position  (7).

12. The method of claim 8 , wherein the at least one constraint condition further comprises equation (8), wherein β is any value between a range of about 0.35 and 0.4 if N r >N t :

(

360

-

360

×

N

s

N

r

N

s

)

-

360

×

β

N

r

>

180

N

s

.

(

8

)

13. The method of claim 8 , wherein the at least one constraint condition further comprises a higher length of gap between adjacent rotor poles of the plurality of rotor poles than an arc length of a stator teeth to maintain an unaligned position.

14. The method of claim 8 , wherein the at least one constraint condition further comprises a rotor pole arc length and a stator teeth arc length, each being larger than or equal to

2

⁢

π

N

r

⁢

N

ph

to maintain non-overlapping inductance.