POLITECHNIKA WARSZAWSKA

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5. Speed estimation of induction motor W1 ψ_ u x 1 x 2 x 3 W3 Σ ψ_ i ε W2 ω^ m LA x 1 x 2 = ψ_ (k-1) R = jψ _ (k-1) R x 3 = _ i s (k-1) Fig.5.11. Structure of linear ANN used in on-line speed estimation method Using back propagation learning method one can get following formula: w2 = w2 −η( −eα Ψriβ + eβΨriα ) + α∆w 2 T ˆ N m = w2 Ts ω (5.21) where η is called learning rate and α - momentum factor. Note, that one can use the same NN to estimate T r instead of mechanical speed. 115
5.3.1.2. Improved method based on two flux models 5. Speed estimation of induction motor In this method in contrast to the method presented in 5.3.1.1, the block diagram of NN based speed estimator is a little bit different. The improvement is presented in Fig.5.12, and it implies much better behavior of this estimator. u s i s Flux Model Z −1 ε + ψ ri Weight ω m Neural Network with ψ ru - Fig.5.12 . Block diagram of the modified NN based speed estimator 5.3.1.3. Method based on current estimation error The new method presented in this paper is based on stator current calculation: di s xM T ⎛ 2 ⎛ N ⎞ xM T ⎞ σ x N s = j ⎜ m r r ⎟ s i s + us dt x ⎜ − ω − + r T ⎟ Ψ (5.22) ⎝ ⎜ r ⎠ xrT ⎟ ⎝ r ⎠ This equation one can use to calculate the estimate value of stator current, using Eq.5.16 to obtain rotor flux value. 116
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POLITECHNIKA WARSZAWSKA WARSAW UNIV
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Contents 1. Introduction 4 2. Mathe
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1. Introduction 1. INTRODUCTION The
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1. Introduction In the author’s o
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2. Mathematical description of indu
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3. Basics of Artificial Neural Netw
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4. ANN based Current Controllers (C
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4. ANN based Current Controllers 4.
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4. ANN based Current Controllers Ta
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4. ANN based Current Controllers Th
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7. Simulation and experimental resu
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8. Conclusions 8. CONCLUSIONS The r
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References REFERENCES Books and Ove
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References [34] D. Schauder, and R.
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References [66] A. Tripathi and P.
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References [97] J. W. Kolar, H. Ert
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References [129] M. P. Kazmierkowsk
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A1. Description of the simulation p
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A2. Laboratory setup A2. Laboratory
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A2. Laboratory setup A2.3. dSpace D
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A2. Laboratory setup Offset calibra
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A2. Laboratory setup consists of an
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A3. Motor parameters A3. MOTOR PARA
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A4. Notation - u s - stator voltage
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POLITECHNIKA WARSZAWSKA

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