Short Circuit Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Short Circuit Ratio = 1/Synchronous Reactance
SCR = 1/Xs
This formula uses 2 Variables
Variables Used
Short Circuit Ratio - The short circuit ratio can be calculated from the open-circuit characteristic (O.C.C) at rated speed and the short circuit characteristic (S.C.C).
Synchronous Reactance - (Measured in Ohm) - Synchronous reactance Xd is defined as the ratio of open-circuit voltage for a given field current to the armature short circuit current for the same field current.
STEP 1: Convert Input(s) to Base Unit
Synchronous Reactance: 0.4 Ohm --> 0.4 Ohm No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
SCR = 1/Xs --> 1/0.4
Evaluating ... ...
SCR = 2.5
STEP 3: Convert Result to Output's Unit
2.5 --> No Conversion Required
FINAL ANSWER
2.5 <-- Short Circuit Ratio
(Calculation completed in 00.004 seconds)

Credits

Created by swapanshil kumar
ramgarh engineering college (REC), ramgarh
swapanshil kumar has created this Calculator and 25+ more calculators!
Verified by Parminder Singh
Chandigarh University (CU), Punjab
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13 Electrical Parameters Calculators

Specific Electric Loading
Go Specific Electric Loading = (Armature Current*Number of Conductors)/(pi*Number of Parallel Paths*Armature Diameter)
Output Coefficient using Output Equation
Go Output Coefficient AC = Output Power/(Armature Core Length*Armature Diameter^2*Synchronous Speed*1000)
Synchronous Speed using Output Equation
Go Synchronous Speed = Output Power/(Output Coefficient AC*1000*Armature Diameter^2*Armature Core Length)
Output Power of Synchronous Machine
Go Output Power = Output Coefficient AC*1000*Armature Diameter^2*Armature Core Length*Synchronous Speed
Field Resistance
Go Field Resistance = (Turns per Coil*Resistivity*Length of Mean Turn)/Area of Field Conductor
Specific Electric Loading using Output Coefficient AC
Go Specific Electric Loading = (Output Coefficient AC*1000)/(11*Specific Magnetic Loading*Winding Factor)
Winding Factor using Output Coefficient AC
Go Winding Factor = (Output Coefficient AC*1000)/(11*Specific Magnetic Loading*Specific Electric Loading)
Current per Phase
Go Current per Phase = (Apparent Power*1000)/(Induced Emf per Phase*3)
Current in Conductor
Go Current in Conductor = Current per Phase/Number of Parallel Paths
Field Coil Voltage
Go Field Coil Voltage = Field Current*Field Resistance
Field Current
Go Field Current = Field Coil Voltage/Field Resistance
Apparent Power
Go Apparent Power = Rated Real Power/Power Factor
Short Circuit Ratio
Go Short Circuit Ratio = 1/Synchronous Reactance

Short Circuit Ratio Formula

Short Circuit Ratio = 1/Synchronous Reactance
SCR = 1/Xs

What is short circuit ratio inverter?

The short circuit ratio (SCR) is traditionally used as the primary index for assessment of the system strength of the connection point when considering a single inverter-based resource connecting to the power system.

What is XR ratio used for?

The X/R ratio of a circuit would dictate the magnitude of dc component. The higher the X/R ratio, the higher the short circuit current is. If the X/R ratio is less than the circuit breaker test X/R ratio, we could directly verify the circuit breaker symmetrical rating with the symmetrical short circuit current.

How to Calculate Short Circuit Ratio?

Short Circuit Ratio calculator uses Short Circuit Ratio = 1/Synchronous Reactance to calculate the Short Circuit Ratio, Short circuit ratio or SCR is a measure of the stability of an electromechanical generator. It is the ratio of field current required to produce rated armature voltage at open circuit to the field current required to produce the rated armature current at short circuit. Short Circuit Ratio is denoted by SCR symbol.

How to calculate Short Circuit Ratio using this online calculator? To use this online calculator for Short Circuit Ratio, enter Synchronous Reactance (Xs) and hit the calculate button. Here is how the Short Circuit Ratio calculation can be explained with given input values -> 2.5 = 1/0.4.

FAQ

What is Short Circuit Ratio?
Short circuit ratio or SCR is a measure of the stability of an electromechanical generator. It is the ratio of field current required to produce rated armature voltage at open circuit to the field current required to produce the rated armature current at short circuit and is represented as SCR = 1/Xs or Short Circuit Ratio = 1/Synchronous Reactance. Synchronous reactance Xd is defined as the ratio of open-circuit voltage for a given field current to the armature short circuit current for the same field current.
How to calculate Short Circuit Ratio?
Short circuit ratio or SCR is a measure of the stability of an electromechanical generator. It is the ratio of field current required to produce rated armature voltage at open circuit to the field current required to produce the rated armature current at short circuit is calculated using Short Circuit Ratio = 1/Synchronous Reactance. To calculate Short Circuit Ratio, you need Synchronous Reactance (Xs). With our tool, you need to enter the respective value for Synchronous Reactance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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