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ABD RAHIM 2008 simply means of an electro-mechanical switch which is opened and closed to stop and start the motor ABD RAHIM 2008 ABD RAHIM 2008 - Low cost and simple -Torque too high – causes snatch - Torque too low – motor stalls - Motor can stall in transition ABD RAHIM 2008 ABD RAHIM 2008 ABD RAHIM 2008 ABD RAHIM 2008 ABD RAHIM 2008 ABD RAHIM 2008 Wound rotor induction motor. Breakdown torque peak is shifted to zero speed by increasing rotor resistance. ABD RAHIM 2008 ABD RAHIM 2008 ABD RAHIM 2008 (to apply an adjustable voltage to the motor and increase this voltage gradually over a user-selectable acceleration period) Advantages : •Reduced starting current •Reduced starting torque •Less mechanical stress •Improved control of acceleration and deceleration ABD RAHIM 2008 ABD RAHIM 2008 INDUCTION MOTORS Equivalent circuits … stator rotor -Similar circuit with Transformer’s -There are no internal voltage source EA because it doesn’t have any independent field circuit. -The only different is that the secondary (rotor part) is moveable thus it will affect the ER, and impedance RR and jXR ABD RAHIM 2008 INDUCTION MOTORS Rotor circuit model… stator -The voltage magnitude and frequency of induced voltage on the rotor ER directly proportional to the slip of the motor. rotor -ELR - voltage at Locked Rotor condition -So does the frequency of the induced voltage : Rotor reactance : But, ABD RAHIM 2008 INDUCTION MOTORS Rotor circuit model.. -With above circuit, rotor current IR is: Z R, eq ABD RAHIM 2008 INDUCTION MOTORS Final Rotor equivalent circuit …. ABD RAHIM 2008 INDUCTION MOTORS Per-phase equivalent circuit …. (Chapman ) or (Rashid) ABD RAHIM 2008 INDUCTION MOTORS Torque & Power-flow diagram …. PAGor Pg=3Ir2Rr /s Pconvor Pdev=PAG-PRCL =(1-s)PAG τind or τdev=Pconv/ωm Pout=Pconv-PF&W -Pmisc 3 phase Source – Y connected or PRCL=3Ir2Rr Pcore=3Vm2/Rm≈3Vs2/Rm PSCL = 3Is2Rs ABD RAHIM 2008 Power Loss Area Efficiency Improvement 1. Fixed loss (iron) Use of thinner gauge, lower loss core steel reduces eddy current losses. Longer core adds more steel to the design, which reduces losses due to lower operating flux densities. 2. Stator I2R Use of more copper & larger conductors increases cross sectional area of stator windings. This lower resistance (R) of the windings & reduces losses due to current flow (I) 3 Rotor I2R Use of larger rotor conductor bars increases size of cross section, lowering conductor resistance (R) & losses due to current flow (I) 4 Friction & Winding Use of low loss fan design reduces losses due to air movement 5. Stray Load Loss Use of optimized design & strict quality control procedures minimizes stray load losses ABD RAHIM 2008 INDUCTION MOTORS Torque & Power-flow diagram …. Stated that, τind =Pconv/ωm Substitution … Thus, While , =(1 - s)PAG / (1 - s)ωsync τind =PAG / ωsync τload =Pout / ωm ABD RAHIM 2008 INDUCTION MOTORS Example 7.2: Ans: a)38.6kW b)37.9kW c)37.3kW d)88% ABD RAHIM 2008 INDUCTION MOTORS Example 7.3: a) ns:1800rpm,ws:188.5rad/s,nm:1760rpm, wm:184.4rpm b) Is:18.88L-33.6A c)0.833lagging d) Pconv:11585W,Pout:10.485W e)Tind:62.8Nm, Tload:56.9Nm f) n:83.7% ABD RAHIM 2008 INDUCTION MOTORS Per-phase equivalent circuit …. (Rashid) In real world: •Value of Xm is very large (Rm can be omitted) •Xm2 >> (Rs2 + Xs2) Vs ≈Vm •Thus, for circuit simplification, the magnetizing reactance Xm can be moved-out to the stator winding. ABD RAHIM 2008 INDUCTION MOTORS The input impedance of the motor becomes: Power factor angle: ABD RAHIM 2008 INDUCTION MOTORS Rotor current (rms): Previously noted, PAG or Pg=3Ir2Rr /s And developed torque τdev or, Thus , τind =Pdev / ωm = PAG / ωsync --(15-18) ABD RAHIM 2008 INDUCTION MOTORS ABD RAHIM 2008 ABD RAHIM 2008 Extended Torque-speed characteristic .. Pullout torque or breakdown torque = max possible handling torque. The curve is nearly linear up to full load (Rr >> Xr, thus Ir,Br and Tind rise ∞ increasing slip). s Plugging = reversing of magnetic field rotation by switching any two stator phases. The reversed Tind will stop the motor rapidly and rotate it to reverse direction. If speed driven faster than ns the Tind reverses and motor becomes generator. ABD RAHIM 2008 At start: start:high high At current currentand andlow “pull-up” torque low “pull-up” torque INDUCTION MOTORS Torque-speed characteristic .. At 80% of full speed: highest “pull-out” torque and current drops At full or synchronous speed: torque and stator current are zero ABD RAHIM 2008 •LRT is higher than 100% of the FLT •Starting current at LRC) may reach 1000% of FLC •Once rotor starts to rotate the torque may decrease a bit for certain classes of motors to a value known as the pull up torque. •breakdown torque is due to the larger than normal 20% slip. •Slip will be only a few percent during normal operation. •Any motor torque load above the breakdown torque will stall the motor. • The torque, slip, and current will approach zero for a “no mechanical torque” load condition. This condition is analogous to an open secondary transformer. ABD RAHIM 2008 INDUCTION MOTORS Characteristics for NEMA designs…. All motors, except class D, operate at %5 slip or less at full load. • Class B (IEC Class N) motors are the default motor to use in most applications. With a starting torque of LRT = 150% to 170% of FLT, it can start most loads, without excessive starting current (LRT). Efficiency and power factor are high. It typically drives pumps, fans, and machine tools. • Class A starting torque is the same as class B. Drop out torque and starting current (LRT)are higher. This motor handles transient overloads as encountered in injection molding machines. as encountered in injection molding machines. ABD RAHIM 2008 • • • • INDUCTION MOTORS Characteristics for NEMA designs…. Class C (IEC Class H) has higher starting torque than class A and B at LRT = 200% of FLT. This motor is applied to hard-starting loads which need to be driven at constant speed like conveyors, crushers, and reciprocating pumps and compressors. Class D motors have the highest starting torque (LRT) coupled with low starting current due to high slip ( 5% to 13% at FLT). The high slip results in lower speed. Speed regulation is poor. However, the motor excels at driving highly variable speed loads like those requiring an energy storage flywheel. Applications include punch presses, shears, and elevators. Class E motors are a higher efficiency version of class B. Class F motors have much lower LRC, ABD RAHIM 2008 INDUCTION MOTORS 1) 1.67% 2) 48.6Nm 3) 2900rpm 4) 29.5kW ABD RAHIM 2008