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Document Preview: Rules must follow: you cannot use internet or solution manual.  Include all the graphs and plots required. YOU MUST WRITE FM NAME ON TOP OF EACH GRPAH and copy and paste the matlab files you have created in your paper.Created with an evaluation copy of Aspose.Words. To discover the full versions of our APIs please visit: https://products.aspose.com/words/4. Three generating units operating in parallel at 60 Hz have rating of 300, 500, and 600   MW and have speed-droop characteristics of 5, 4, and 3%, respectively. Due to a   change in load, an increase in system frequency of 0.4 Hz is experienced before any   supplementary control action occurs. Determine the amount of the change in system   load and also the amount of the change in generation of each unit to absorb the load   changes.5. A synchronous generator, capable of developing 500MW of power operates at a power   angle of 8°. Using equal area criteria, determine by how much the input shaft power   can be increased suddenly without loss of stability.

David · Accepted Answer

5.) Sol.  
A 1
A 2
Pm0
Pm1
δ1 δ2 δ3
Pe
 
Electrical power output is given by,
For          and δ = 8     electrical power output is given as, 
           

when the input shaft power is increased to cater the increment in load, rotor angle δ oscillates 
around the mean desired position δ2. As per equal area criterion,
   ∫        

∫
where               
Solving the above equation we get,
Putting         in the above equation, we get,
Solving for δ2 with δ1 = 8 or 0.13885 rad, we get, 
δ2         
Corresponding to δ2        , power is given by,
Therefore the input shaft power can be increased suddenly without loss of synchronism is,
4.) Sol. 
According to the given information, due to change in load there is an increase in system 
frequency by 0.4 Hz. 
Original frequency    is 60 Hz 
So after the increase in load, system frequency    becomes 60.4Hz. 
For an amount of change in generation of first unit ∆P1, the change in frequency is given by 
 
       
   
            
Also
Similarly, the amount of change in generation of second unit ∆P2 is given by, 
     
       
   

The amount of change in generation of second unit ∆P3 is given by,

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