Efficiency of a synchronous machine.

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Discussion Overview

The discussion revolves around the efficiency calculation of a synchronous machine, specifically focusing on a delta-configured machine with given parameters such as armature resistance, open circuit voltage, and short circuit current. Participants are attempting to solve a homework problem involving power and efficiency with an inductive load applied.

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • One participant states the armature resistance per phase is 24.7 ohms and provides details about the machine's configuration and operating conditions.
  • Another participant suggests calculating the synchronous impedance (Zs) from the open circuit (OC) and short circuit (SC) data provided.
  • A participant calculates Zs to be 200 ohms and synchronous reactance (Xs) to be 198.5 ohms but expresses uncertainty about the equivalent circuit values for power calculation in a delta configuration.
  • Multiple participants confirm that in a delta configuration, the line voltage (VL) equals the phase voltage (Vph) of 100V.
  • One participant clarifies that the equivalent circuit values will remain the same in delta configuration, indicating that the armature resistance and synchronous reactance can be used as they are.

Areas of Agreement / Disagreement

Participants generally agree on the calculations of Zs and Xs, but there is uncertainty regarding the application of these values in the context of a delta configuration for power calculations. The discussion remains unresolved as participants seek further clarification.

Contextual Notes

There are limitations regarding the assumptions made about the equivalent circuit values in delta configuration and the dependence on the definitions of synchronous impedance and reactance. The discussion does not resolve these uncertainties.

Sharples049
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Homework Statement


The armature resistance per phase is given as 24.7ohms.
Delta configured machine.
Open circuit voltage is 220v, short circuit current is 1.1A at 3000rpm.
Rpm is dropped to 1500rpm and no load line voltage is 100.
Find power and efficiency if an inductive load of 1.4H is applied at the load.

Homework Equations


As per synchronous machines electrical theory.

The Attempt at a Solution


Still working on it but simulation results aren't the same. Any help will be appreciated thankyou.
 
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You need to show your attempt. You can start by calculating the synchronous impedance (Zs) from OC and SC data given.
 
cnh1995 said:
You need to show your attempt. You can start by calculating the synchronous impedance (Zs) from OC and SC data given.
Hi, thanks for your reply.
ok so far i have Zs to be 200ohms from the OC and SC data. By substituting the armature resistance to find the synchronous reactance Xs, I have Xs to be 198.5ohms. This is where I'm becomming stuck, it is a delta configured machine so I'm unsure of what the equivalent circuit values will be in order to calculate power.
 
Since this is delta configuration, VL=Vph=100V.
 
cnh1995 said:
Since this is delta configuration, VL=Vph=100V.
I'm stuck after that mate. Haven't done much on synchronous machines. Will the equivalent circuit be made up of the 24.7ohms and inductance calculated from Xs, then the load? Or will the Ra and Xs values be different due to the delta formation?
Any help will be much appreciated.
 
upload_2016-1-30_17-16-6.jpeg

The values will not change in delta. You can use them as they are.
 

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