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December 6th, 2016, 08:53 AM  #1 
Senior Member Joined: Apr 2014 From: Glasgow Posts: 2,073 Thanks: 695 Math Focus: Physics, mathematical modelling, numerical and computational solutions  Torque required for synchronising generators
I'm trying to work out the answer to the following problem: Two, fourpole (p=2), 50 Hz synchronous generators are paralleled. Their phase displacement is 2 degrees mechanical. The synchronous reactance, $\displaystyle X$, of each machine is 10 Ohms/phase and the common busbar voltage is 6.6 kV. Calculate the synchronizing torque (answer = 968 Nm). The equation in the example problem for calculating this is: $\displaystyle \tau_{synch} = \frac{P_{synch}}{2\pi \frac{f}{p}}$ where $\displaystyle P_{synch} = \frac{3}{2} \frac{E^2}{X} \times \delta'_{el}$ I have no idea where this formula has come from. In the textbook the power of a turbogenerator is given as $\displaystyle P = \frac{EV}{X} \sin \delta$ where $\displaystyle V = E/\sqrt{3}$. However, this gives a different result. Does anyone know how the first formula is derived? 
December 21st, 2016, 09:41 PM  #2 
Newbie Joined: Dec 2016 From: United Kingdom Posts: 14 Thanks: 1 
Hi, I am not expert in this but I have fond some information about torque. I hope this will help you. What is Synchronizing Power and Torque Coefficient?  Circuit Globe If You need direct conversion you can go for online converter tools, like AshBox, etc.. 

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generators, required, synchronising, torque 
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