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22 Electromechanical systems

# 22 Electromechanical systems - Lecture 23 Electromechanical...

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Lecture 23 Electromechanical systems Consider the system shown in the following figure. θ : angular displacement of moving part T: electromechanical torque T ext : external torque (e.g., a load) To analyze this system we have to consider all the laws we have seen so far. Let us introduce first the following notation, 11 1 1 ,, , s s s nn n n E ie Ei e E λ   == = =  ±± 1 0 0 n R R R = ± ²»² ± Note that R is a diagonal matrix. 1. From KVL, KCL, and Ohm’s Law we know that s E Ri e −= 2. From Faraday’s Law we know that the induced voltages are dd i d L d d i d L eL i L i dt dt d dt dt d λθ ω θθ +⋅ = +

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3. From Ampere’s Law we can determine the relationship between flux and inductance, () L i λθ = 4. Energy conservation describes the relation between torque and current.
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22 Electromechanical systems - Lecture 23 Electromechanical...

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