 My Math Forum Torque required for synchronising generators

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 December 6th, 2016, 07:53 AM #1 Senior Member   Joined: Apr 2014 From: Glasgow Posts: 2,156 Thanks: 731 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, four-pole (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 turbo-generator 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, 08:41 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.. Tags generators, required, synchronising, torque Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post numberguru1 Number Theory 7 April 8th, 2016 12:36 PM r-soy Physics 4 February 13th, 2012 06:41 PM sarah77 Abstract Algebra 2 April 26th, 2011 08:21 AM Elladeas Abstract Algebra 3 March 8th, 2011 02:32 PM Ciqo Abstract Algebra 3 March 2nd, 2008 09:28 AM

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