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NEW SLIDING-MODE OBSERVER FOR POSITION
SENSORLESS
CONTROL OF PERMANENT-MAGNET
SYNCHRONOUS MOTOR
學生:林易德
學號:MA320110
指導教授:龔應時
INTRODUCTION
 For the traditional SMO Due to switch time and space lag, the SMO presents serious chattering The estimated signal of
the SMO contains high-frequency oscillation components, so one or several low-pass filters are usually used to extract the
required back electromotive force (EMF) signal
 low-pass filters usually causes phase delay
MATHEMATICAL MODEL OF PMSM
相電流
反電動勢
相電壓
DESIGN OF SMO
反電勢
Z = 𝑘𝑠 sign(𝑖𝛼 )
1 𝑖𝛼 > 0
Sign = 0 (𝑖𝛼 ) = 0
−1 𝑖𝛼 < 0
Bang-bang
controller
Low-pass
filter
ROTOR POSITION AND SPEED ESTIMATE
(12)
(13)
Tan =
𝑆𝑖𝑛
𝐶𝑜𝑠
Tan(y) = x
𝑇𝑎𝑛−1 (x) = y
SIMULATION RESULTS
使用傳統方法以及Sign函數
使用傳統方法以及Sigmoid函數
使用新SMO
不同的參數下
速度還是能估測到實際值
模擬馬達正反轉
EXPERIMENTAL RESULTS
CONCLUSION
In this paper, the SMO is used to estimate the rotor position and speed of the PMSM due to its strong robustness, the sign
function is replaced by the sigmoid function to reduce system chattering, and the traditional SMO is improved. The back EMF
observer is constructed to extract the back EMF signal, which improves the estimation accuracy of rotor position and speed.
Simulation and experimental results validate the feasibility and effectiveness of the new SMO for estimating the rotor position
and speed of the PMSM. Compared with the traditional SMO, the new SMO has not only relatively simple structure but also
better estimation performance.
REFERENCES