Answer :
Final answer:
To determine the operating frequency of the system, divide the total power output by the load power. To determine the load sharing ratio, divide the power output of each generator by the total power output. To equally share the load, adjust the idle operating frequencies of the generators accordingly.
Explanation:
To determine the operating frequency of the system, we need to calculate the total power output of the generators. Generator 1 can provide a maximum power output of 62 MW (62 Hz * 1 MW/Hz), and generator 2 can provide a maximum power output of 61.5 MW (61.5 Hz * 1 MW/Hz). The total power output of the system is 62 MW + 61.5 MW = 123.5 MW.
To find the operating frequency, we divide the total power output by the load power of 6 MW. The operating frequency is 123.5 MW / 6 MW = 20.58 Hz.
To determine the ratio at which the generators share the load, we divide the power output of each generator by the total power output. Generator 1 shares the load by providing 62 MW / 123.5 MW = 0.5028 or 50.28%, and generator 2 shares the load by providing 61.5 MW / 123.5 MW = 0.4972 or 49.72%.
To equally share the load, the idle operating frequencies of the generators should be adjusted. Since the system frequency needs to increase by 0.5 Hz, each generator should increase its frequency by half of that amount. Generator 1 should be set to an idle operating frequency of 62.25 Hz (62 Hz + 0.5 Hz / 2) and generator 2 should be set to an idle operating frequency of 61.75 Hz (61.5 Hz + 0.5 Hz / 2).
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