Dc machine dynamic performance, Electrical Engineering

Assignment Help:

Calculate the following for a 2 hp and a 20 hp dc machine, each rated for 500 rpm. Use data from the Study Plan 1 data sheet, including "hot" armature resistance value for all calculations. Note that the value of K is proportional to the field flux, and the printed value is for rated (100%) flux. Both the load moment of inertia JL and the viscous friction coefficient B are zero unless stated otherwise.

a) Calculate the eigenvalues (real or complex) for operation at rated flux and at 50% of rated flux:

b) Calculate the dominant time constant τ of the 2 hp machine and the natural frequency ωN and damping factor ζ of the 20 hp machine (assume rated flux for both machines). Use them to determine the approximate percentage overshoot and settling time (within 2%) for the rotor speed's natural response for each machine following a step change in the armature voltage. Assume zero load inertia. Plot the transient response of the rotor speed ω (in rpm) for both machines for a step in the armature voltage from 50% to 100% rated voltage, assuming no steady-state load torque (i.e., TL=0) and an initial rotor speed corresponding to the no-load speed at 50% rated voltage. Calculate the initial and final speed values for both machines.

c) Find the value of an external series resistance for both machines that will limit the steady-state stall current (i.e., speed = 0) with rated voltage to 125% of rated current. With this resistor in the circuit, repeat the eigenvalue calculation of part a) for both machines. Assume rated field flux. Plot the migration of 20 hp machine's eigenvalues (i.e., root locus) as the additional series resistance Radd is increased from 0 to its final value.


Related Discussions:- Dc machine dynamic performance

Explain what is doping, What is meant by doping? Doping: Semiconduct...

What is meant by doping? Doping: Semiconductors in its extremely pure form are termed as intrinsic semiconductor such intrinsic semiconductor to which several suitable impur

Fermi level, Fermi Level Electrons in solids obey Fermi-Dirac (F...

Fermi Level Electrons in solids obey Fermi-Dirac (FD) statistics. This statistics accounts for the indistinguishability of the electrons, their wave nature, and the

Electrical machine, transformer voltage induced in armatur of ac commentato...

transformer voltage induced in armatur of ac commentator machin in case tha field flux in sinosoidal?..

Find the meter reading assuming that the averaging is done, Q A residence i...

Q A residence is supplied with a voltage v(t) = 110√2cos120πt Vand a current i(t) = 10√2cos120πt A. If an electricmeter is used tomeasure the average power, find the meter reading,

Find the directive gain, Q. Aconical horn has a side viewas shown in Figure...

Q. Aconical horn has a side viewas shown in Figure  The maximum value ofthe directive gain is given by GD ∼ = 5.13(D/λ) 2 , where D =√3.33λL1 and L1 = L/(1-d/D),in which d is the i

Static v- i characteristics, Static V- I Characteristics The  static V-...

Static V- I Characteristics The  static V- I  characteristics of power diodes is shown  in figure 1.2  when the  anode is made  positive with  respect to cathode the power  dio

Back emf, Transistor Switching Circuit Design a) Sketchy a schematic d...

Transistor Switching Circuit Design a) Sketchy a schematic diagram showing how a transistor can be used to control the operation of a relay b) Determine what is meant by ba

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd