Given an array of words representing your dictionary, you test words to see if it can be made into another word in dictionary. T
his will be done by removing characters one at a time. Each word represents its own first element of its string chain, so start with a string chain length of 1. Each time you remove a character, increment your string chain by 1. In order to remove a character the resulting word must be in your original dictionary. Your goal is to determine the longest string chain available for a given dictionary. for example, given a dictionary [a, and, ab, bear] the word and could be reduced to an and the word an to a. The single character a can not be reduced to any further as the null string is not in the dictionary. This would be the longest string chain, having a length 3. The word bear can not be reduced at all.
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Given Information:
Frequency = f = 60 Hz
Complex rated power = G = 100 MVA
Intertia constant = H = 8 MJ/MVA
Mechanical power = Pmech = 80 MW
Electrical power = Pelec = 50 MW
Number of poles = P = 4
No. of cycles = 10
Required Information:
(a) stored energy = ?
(b) rotor acceleration = ?
(c) change in torque angle = ?
(c) rotor speed = ?
Answer:
(a) stored energy = 800 Mj
(b) rotor acceleration = 337.46 elec deg/s²
(c) change in torque angle (in elec deg) = 6.75 elec deg
(c) change in torque angle (in rmp/s) = 28.12 rpm/s
(c) rotor speed = 1505.62 rpm
Explanation:
(a) Find the stored energy in the rotor at synchronous speed.
The stored energy is given by
Where G represents complex rated power and H is the inertia constant of turbo-generator.
(b) If the mechanical input is suddenly raised to 80 MW for an electrical load of 50 MW, find rotor acceleration, neglecting mechanical and electrical losses.
The rotor acceleration is given by
Where M is given by
So, the rotor acceleration is
(c) If the acceleration calculated in part(b) is maintained for 10 cycles, find the change in torque angle and rotor speed in revolutions per minute at the end of this period.
The change in torque angle is given by
Where t is given by
So,
The change in torque in rpm/s is given by
The rotor speed in revolutions per minute at the end of this period (10 cycles) is given by
Where P is the number of poles of the turbo-generator.