8

Target of Surrogate Model

The maximum output control is

performed with following equations

𝑇𝑎𝑣𝑔

= 𝑃

𝑛

𝛹𝑎

𝐼𝑎

cos 𝛽

+

1

2

𝐿𝑞

− 𝐿𝑑

𝐼𝑎

2 sin 2𝛽

𝑁𝑙𝑖𝑚

=

𝑉𝑜𝑚

𝛹𝑎

− 𝐿𝑑

𝐼𝑎

sin 𝛽 2 + 𝐿𝑞

𝐼𝑎

cos 𝛽 2

✓ Predict the motor parameters under each current vector

condition with surrogate models

N-T characteristics

Rotor geometry

Predicting

N

T

Motor parameters

L

d,

L

q

β

I

a

Ψ

a

I

a

PM flux linkage

d-, q-axis inductance

𝛹𝑎

= 𝑓 𝐼𝑎

, 𝐱𝑔𝑒𝑜𝑚

𝐿𝑑

= 𝑔 𝐼𝑎

, 𝛽, 𝐱𝑔𝑒𝑜𝑚

𝐿𝑞

= ℎ 𝐼𝑎

, 𝛽, 𝐱𝑔𝑒𝑜𝑚

Learn the relationship

between rotor geometry,

current conditions, and

motor parameters

𝐼𝑎

: Armature current

𝛽: Current phase angle

𝐱𝑔𝑒𝑜𝑚

: Geometrical

parameter vector

𝑃𝑛

: Number of pole pairs,

𝑅𝑎

: Winding resistance,

𝑉𝑜𝑚

: Induced voltage limit

Independent

of current

phase angle

Computing