1ASSIGNMENT 3Trigonometric Identitiescos(A+B)=cosAcosB-sinAsinB cos(A-B)=cosAcosB+sinAsinB sin(A+B)=sinAcosB+cosAsinB sin(A-B)=sinAcosB-cosAsinB Question 1The inductance of a single-phase reluctance machine is: ]2cos[dBAaLLLθ+=The single-phase winding is excited by a current tIiaωcos=Let the rotor turn at synchronous speed so that δωθ+=td(i)What is the electromechanical torqueeT? (ii)What is the time invariant component)(δfTavee=−? Sketch )(δfTavee=−for o180...180+〈〈°−δ. (iii)What are the even harmonic pulsating components of torque, eveneT−? (iv)The reluctance motor has a moment of inertia J and drives a load LT. The mechanical equation of motion is: LemTTdtdJ−=ω(1) Let the rotor speed be the sum of a term at synchronous speed ωand perturbation terms mωΔdue to the even harmonic pulsating torque components. Substituting in (1) LeveneaveemTTTdt
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