In an assessment of the quality of the electrical power system, one measure of quality is the degree to which voltage fluctuations cause light flicker in the system. The perception of light flicker x when the system is setat 380kV was measured periodically (over 10-minute intervals). For transformers supplying heavy industry plants, suppose the light flicker distribution was found to follow (approximately) a normal distribution withµ= 2.4% and o = 0.4. If the perception of light flicker exceeds 3.2%, the transformer is shut down and the system is reset. How likely is it for a transformer supplying a heavy industry plant to be shut down due to lightflicker?...There is aprobability that a transformer supplying a heavy industry plant will need to be shut down.(Round to three decimal places as needed.)

In an assessment of the quality of the electrical power system, one measure of quality is the degree…

Answered: There is a probability that a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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6. A population of fish is living in an environment with limited resources. This environment can only support the population if it contains no more than M fish (otherwise some fish would starve due to an inadequate supply of food, etc.). There is considerable evidence to support the theory that, for some fish species, there is a minimum population m such that the species will become extinct if the size of the population falls below m. Such a population can be modelled using a modified logistic equation: dP m kP 1 dt %D - M (a) Use the differential equation to show that any solution is increasing if m < P< M and decreasing if 0 < P < m. (b) For the case where k = 1, M = 100, 000 and m = 10,000, draw a direction field and use it to sketch several solutions for various initial populations. What are the equilibrium solutions? (c) One can show that k(M-m)t M M(Po – m)e (Ро — т)е м -m(Po – M) t- (Po – M) P(t) = k(М-т) M | is a solution with initial population P(0) = Po. Use this to show…
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There is a probability that a transformer supplying a heavy industry plant will need to be shut down.