A single phase ac voltage controller is used to get an output ac voltage proportion to a certain firing angle α from a constant 400 r. M.S input ac source with 50 Hz frequency. A load can be considered as R (15 Ω) is connected across the output voltage. This load can't operate with a voltage less than 40 V and not more than 340 V. find the numerical output voltage if the firing is adjusted to 600 . Give all necessary explanations, derivations and illustrations. Find the accepted range of the firing α to meet R requirements simulate the circuit by PSIM then give the file you name followed by controller. Use a specific devices to show the load voltage, SCR voltage, source voltage and source current.

Tom is having a problem with his washing machine. he notices that the machine vibrates violently at a frequency of 1500 rpm due to an unknown rotating unbalance. the machine is mounted on 4 springs each having a stiffness of 10 kn/m. tom wishes to add an undamped vibration absorber attached by a spring under the machine the machine working frequency ranges between 800 rpm to 2000 rpm and its total mass while loaded is assumed to be 80 kg a) what should be the mass of the absorber added to the machine so that the natural frequency falls outside the working range? b) after a first trial of an absorber using a mass of 35 kg, the amplitude of the oscillation was found to be 10 cm. what is the value of the rotating unbalance? c) using me-3.5 kg. m, find the optimal absorber (by minimizing its mass). what would be the amplitude of the oscillation of the absorber?