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Given the characteristic equation:F(s) = s^3 + 8s^2 + (8 + K p )s + Ki = 0
a) Show the region of stability in the Kp vs. Ki plane. Shade region which is stable and clearly show if boundaries are included on not included. Colored pens are a must for this picture!
b) Describe the type of response that would exist if the values of Kp and Ki placed the roots on the boundaries determined in part 1. Note consider each boundaries may exhibit a different performance
c) Determine if the system can be made to oscillate at 500 radians/sec. If so, what values of Kp and Ki will make this happen. Show this point on the appropriate boundary.
A two-winding, single-phase transformer rated 3 kVA, 220:110 V, 60 Hz is connected as an autotransformer to transform a line input voltage of 330 volts to a line output voltage of 110 V and to deliver a load of 2 kW at 0.8 lagging power factor.
Consider a permanent-magnet dc-motor with the following parameters: Ra=0.35Ohms, La=1.5mH, Ke=0.5V/(rad/s), Kt=0.5Nm/A, and Jm=0.02kgm^2. The rated torque is 4Nm. This motor is supplies by a switch-mode dc-dc converter
A CB amplifier is operating with R load = 10 kiloohms, Rc = 10 kiloohms, and R signal = 100 ohms. At what current Ic should the transistor be biased for the input resistance Rin to equal that of the signal source
A pulse is used to measure the frequency response of a system. Since we expect the frequency response to extend to 20 kHz, we want to select a pulse whose magnitude spectrum is constant within 1% out to 20 kHz.
A synchronous generator is rated 1,300 MVA, 22,000 volt, three phase, 3600 rpm, 60 Hz with a synchronous reactance of 0.35 ohms per phase. The machine is delivering rated output at rated voltage and 0.94 power factor lagging.
The system uses a 7-cell reuse pattern. If the offered traffic per user is 0.03 Erlangs and the average number of calls per hour per user is 1.5, for an Erlang-C system with a probability of delaying a call being 5%, calculate the traffic load per..
A 1000 kg battery powered adiabatic electric vehicle has a fully charged battery containing 20.0 MJ of stored energy. If it requires 12.0 kW of power to keep it moving at a constant velocity on a horizontal road
What is the formula for finding the output voltage of a non-inverting summing amplifier with 3 inputs
The prime mover rotates the armature at a speed of 1000 rpm. Determine the no-load voltage, the full-load voltage, and the torque required by the prime mover at full load if the full-load power required by the load is 3 kW
A1. An amplifier has cutoff frequencies of 120.0 Hz and 1.200 kHz. Calculate the bandwidth and center frequency of the amplifier. A2. The upper cutoff frequency of an amplifier is 8.000 MHz and its center frequency is 1 MHz.
Consider a long wire represented as distributed RC sections. The total wire length is 5mm. To reduce the wire delay, we uniformly insert n buffers along the wire. Suppose r=12Ohms/m and c=0.2fF/m and the delay of each buffer is 1ns.
A linear-phase FIR filter should be designed with the ideal magnitude response shown in Figure 1 which represents an narrow band-pass filter. The lower cutoff frequency, fL , is 2,000 Hz, and higher cutoff frequency, fH , is 3,600 Hz.
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