5) The mass of the armature is an electric motor of 42 Kg and it rotates at a speed of 31 rpm. Its center of gravity is 10mm outside the center of the bearing axis. The engine in question has a mass of 20 kg on four springs with a coefficient of 3100 N / m each. Obtain steady state amplitude when the engine is running at twice the acceleration.
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- A 60Hz, 4 pole turbogenerator rated 200MVA, 11kV has an inertia constant of 8.0 MJ/MVA. (a) Find the stored energy in the rotor at synchronous speed. (b) If the mechanical input is suddenly raised to 180MW for an electrical load of 125MW, find rotor acceleration, neglecting mechanical and electrical losses. (c)If the acceleration calculated in part(b) is maintained for 10 cycles, find the change in torque angle.A series DC machine with the armature winding resistance Ra=2Ω and the field windingresistance Rf=5Ω is mechanically coupled to the load with linear torque-speedcharacteristics that can be approximated by the following equation: Tl(ω)=k·ω+T0 where k=-2Nm/(rad/s) and T0=200 Nm. The motor constant Kf is equal to 0.22[Nm/A^2] also[Vs/(A·rad)]). The motor is supplied from a 250VDC source. a) Calculate all possible operating points and determine the stability of each operatingpointA triangle connected, round rotor synchronous generator with Xs= 15 Ohm, Ra=0 works in parallel with a network with 400 V interphase voltage and gives only P= 62700 W active power. Find the amplitude of the induced internal electromotive force "Ef" and how many degrees the charge angle is. (It will be assumed that the generator is not overloaded, magnetically linear, no saturation, mechanical losses are neglected, and the armature internal resistance Ra is neglected.) (three digits after the comma.)
- For the given electromechanical system with all parameters in SI units, the motor used develops 50 Nm of torque at 3000/pi in rpm when 15 volts applied. It is stalled at this DC voltage with 150 Nm of torque. The armature inertia is 5 kg.m2 and damping is 2 N.m.s/rad. What is the equivalent load damping DL at the N3 portA dc motor develops 55 N-m of torque at a speed of 600 rad/s when 12 V are applied. It stalls out at this voltage with 100 N-m of torque. If the inertia and damping of the armature are 7 ?? − ?2 and 3 ???/???, respectively, find the transfer function ?(?) = ?? (?)⁄??(?) and space-state representation of this motor if it drives an inertia load of 105 ?? − ?2 through a gear train, as shown in figure 3 a. Use Simulink to represent the space-state of the system and get the response of the motor.Consider the design of a home-built wind turbine using a 350-W automobile dc generator. The goal is to deliver 70 kWh in a 30-day month. 1- What capacity factor would be needed for the machine? 2- If the average wind speed is 5 m/s, and Rayleigh statistics apply, what should the rotor diameter be? 3- How fast would the wind have to blow to cause the turbine to put out its full 0.35 kW if the machine is 20% efficient at that point? 4- If the tip-speed-ratio is assumed to be 4, what gear ratio would be needed to match the rotor speed to the generator if the generator needs to turn at 1000 rpm to deliver its rated 350 W? 5- If Rayleigh statistics apply, what is the energy generated in a 30-day month when wind blows between its rated wind speed of 13 m/s and its furling wind speed of 25 m/s?
- Given this question for PMDC motor 1) Write the equations of motion for the DC motor in time domain & S-domain. 2) For Full-load and Half-load states, obtain the transfer functions for a.) Torque - Speed b.) Torque - Motor current and this is provided motor specifications nominal values nominal power, W 11 Motor voltage 12 Nominal speed, rpm 3200 Nominal current, A 1.3 nominal torque, N.cm 3.2 No-load values Speed, rpm 4300 Current, A 0.1 Stall values Torque, N.cm 13.5 Current, A 5.2 Performance values Max output power, W 15 Max constant torque, N.cm 1.9 Motor parameters Weight, gr 235 Rotor inertia, gr,cm2 33 Terminal resistance, ohm 2.3 Inductane, mH 2.3 Mech time constant, ms 12 Elec time constant, ms 1 Torque constant, N.cm/A 2.7 Speed constant rpm/N.cm 310 ThanksConsider the separately excited DC motor shown in Fig. P6, withthe steady-state full-load specifications as indicated. You may assume that the rotational losses for this machine are negligable (a) Suppose that the motor is operating at rated capacity to help propel ahybrid electric vehicle up a hill. Under full-load conditions, find the outputtorque Tout, the induced voltage EA, field power loss PF , armature powerloss PA, and efficiency η. (b) Now imagine that the vehicle is descending rapidly on the other sideof the hill, and that physical torque reverses on the motor shaft. The newvalue is Tout= -30 Nm (i.e., negative 30 Nm). Determine the power in the240 V source, and indicate if the source is absorbing or delivering power.An unknown voltage is applied to an asynchronous motor with a three-phase stator connected in star with the number of pole pairs 10. The torque-speed (Moment-slip) relationship of the motor can be linearized with the equation M=Ks in the stable region. Here k is a coefficient and its value is 100Nm. and S represents the shift. While the friction is neglected, the Moment produced by the engine is 9 Nm. As measured. The single-phase equivalent circuit parameters of the rotor reduced to the stator are given below. Rs = Rr`= 10, Xsσ(X1)= X'rσ(X2) = 20, RFe= 400 ohms, Xm= 12.5 ohms a) Calculate the rotational speed of the motor in rpm b) Calculate the input and output power and efficiency of the motor. (Use L equivalent circuit) a) 547 rpm, P input 6245 watts, P output 516 watts, efficiency 83% b) 548 rpm, Pinput 626 watts, Poutput 517 watts, efficiency 84% c) 546 rpm, Pinput 624 watts, Poutput 515 watts, efficiency 82% d) 545 rpm, Pinput 623 watts, Poutput 514 watts, efficiency 81%
- A 220V DC motor rotating with a speed of 1500 rpm (revolutions per minute) is connected to a mechanical load. The current of the motor is 10A. If the torque applied to the load is 13Nm, compute the total power loss in the motor. (Note: P=2πTf, where P=Mechanical power, T=Torque and f=frequency in Hz.)15.1 Consider a wind machine designed to deliver its rated power at the average velocity for a given wind spectrum. It will be marketed for sites having wind velocity spectra that have the same annual average velocity but with Weibull statistics ranging from k = 3/2 to 5/2. a. Calculate the ratio of maximum to minimum annual average on-site wind power available for exploitation for this range of wind fields. b. What additional assumptions are necessary if the power actually produced is to be in the same ratio as in (a) above?In a DC motor with separately excited configuration, EMF voltage=8xrotational speed of the rotor (or w). In addition, the resistance and the inductance of the armature are 10 Ohms and 500 mH, respectively. la and Va represent current and voltage of the armature and fit to the following transfer function: la/(Va+pxw)%=q/(s+r). What is p?