(c) What is the maximum theoretical annual energy production of this wind turbine under the rated operating conditions?
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- 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?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?A. Explain briefly the difference between power flow analysis and state estimation. B. Comments on this statement: "PMUS without GPS signal are useless".
- Using the Routhe-Hurwitz criterion, find the value range of K to get a stable system having a characteristic equation givenThe values obtained in the empty and short circuit tests of a 50 kW, 510 V, 60 Hz, 6 pole, 75 A, cosφ=0.86, Y-connected 1140 rpm, Class B ASM, whose connection form is given below, are given in the table. ThisFind the values of the approximate equivalent circuit elements of the ASM according toThe following problem pertains to the analysis and control of the Manned Maneuvering Unit System (MMUS). This system utilizes small thrusters, which discharge gas—typically nitrogen—to generate thrust, facilitating astronaut mobility in zero- gravity environments. The scenario considers a combined mass of 100 kilograms, encompassing the astronaut, the MMUS, and any associated equipment. It is assumed that the thrusters function ideally, delivering the specified reactive force instantaneously and with precision. The primary focus is on controlling the astronaut's vertical position to align with the entrance of a space station. This involves an autopilot control strategy that incorporates a velocity control loop within a position control loop. The design of these loops employs proportional gain controllers, denoted as Kv for velocity and Kp for position, respectively. The tasks are as follows: 1. Establish the transfer function Gv(s) that describes the relationship between the thrust…
- There are three commonly used excitation modes for stepper motors: full step, half step and microstepping.Illustrate micro-stepping with the help of a neat diagram by modulating phase supplyvoltage for a generic stepper motor with 4 and 6 poles respectively in its stator and rotor.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 operatingpoint
- Find the stability condition of the equation given below for the characteristic equation. (To be stable acoefficients should be in what range, what kind of conditions should it meet, etc.)(Using the Routh-Hurwitz criterion(according to the requirements and qualification conditions).What are static error coefficients? how will you calculate the steady state error using static error coefficients? (Write equations also, about kp, Kv, Ka) subject: control systemA horizontal conveyor belt moving at a uniform velocity of 1m/s transports load at the rate of 50,000 kg/hour. The belt is 180m long and is driven by a 960 rev/min motor. Determine the equivalent rotational inertia at the motor shaft. Calculate the required braking torque at the motor shaft to stop the belt at a uniform rate in 10 seconds.