RMS Error Vector in Load Distribution under STATCOM Calculator

✖Time Elapsed in PWM Current Controller is defined as the time used to find the RMS errors in the lines of the PWM Current Controller.ⓘ Time Elapsed in PWM Current Controller [T]			+10% -10%
✖Error Vector in Line 1 is defined as the vector that represents the difference between the desired or intended line and the actual or measured line.ⓘ Error Vector in Line 1 [ε₁]			+10% -10%
✖Error Vector in Line 2 is defined as the vector that represents the difference between the desired or intended line and the actual or measured line.ⓘ Error Vector in Line 2 [ε₂]			+10% -10%
✖Error Vector in Line 3 is defined as the vector that represents the difference between the desired or intended line and the actual or measured line.ⓘ Error Vector in Line 3 [ε₃]			+10% -10%

✖RMS Error Vector is defined as the measure of the average magnitude of the error vector in a system.ⓘ RMS Error Vector in Load Distribution under STATCOM [E_rms]

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RMS Error Vector in Load Distribution under STATCOM

Formula

`"E"_{"rms"} = sqrt((1/"T")*int(("ε"_{"1"})^2+("ε"_{"2"})^2+("ε"_{"3"})^2*x,x,0,"T"))`

Example

`"4.182105"=sqrt((1/"2s")*int(("2.6")^2+("2.8")^2+("1.7")^2*x,x,0,"2s"))`

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RMS Error Vector in Load Distribution under STATCOM Solution

STEP 0: Pre-Calculation Summary

Formula Used

RMS Error Vector = sqrt((1/Time Elapsed in PWM Current Controller)*int((Error Vector in Line 1)^2+(Error Vector in Line 2)^2+(Error Vector in Line 3)^2*x,x,0,Time Elapsed in PWM Current Controller))
E_rms = sqrt((1/T)*int((ε₁)^2+(ε₂)^2+(ε₃)^2*x,x,0,T))
This formula uses 2 Functions, 5 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
int - The definite integral can be used to calculate net signed area, which is the area above the x -axis minus the area below the x -axis., int(expr, arg, from, to)

Variables Used

RMS Error Vector - RMS Error Vector is defined as the measure of the average magnitude of the error vector in a system.
Time Elapsed in PWM Current Controller - (Measured in Second) - Time Elapsed in PWM Current Controller is defined as the time used to find the RMS errors in the lines of the PWM Current Controller.
Error Vector in Line 1 - Error Vector in Line 1 is defined as the vector that represents the difference between the desired or intended line and the actual or measured line.
Error Vector in Line 2 - Error Vector in Line 2 is defined as the vector that represents the difference between the desired or intended line and the actual or measured line.
Error Vector in Line 3 - Error Vector in Line 3 is defined as the vector that represents the difference between the desired or intended line and the actual or measured line.

STEP 1: Convert Input(s) to Base Unit

Time Elapsed in PWM Current Controller: 2 Second --> 2 Second No Conversion Required
Error Vector in Line 1: 2.6 --> No Conversion Required
Error Vector in Line 2: 2.8 --> No Conversion Required
Error Vector in Line 3: 1.7 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_rms = sqrt((1/T)*int((ε₁)^2+(ε₂)^2+(ε₃)^2*x,x,0,T)) --> sqrt((1/2)*int((2.6)^2+(2.8)^2+(1.7)^2*x,x,0,2))

Evaluating ... ...

E_rms = 4.1821047332653

STEP 3: Convert Result to Output's Unit

4.1821047332653 --> No Conversion Required

FINAL ANSWER

4.1821047332653 ≈ 4.182105 <-- RMS Error Vector

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Power System » FACTS Devices » Static Synchronous Compensator(STATCOM) » RMS Error Vector in Load Distribution under STATCOM

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Created by Dipanjona Mallick

Heritage Insitute of technology (HITK), Kolkata

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< 3 Static Synchronous Compensator(STATCOM) Calculators

RMS Error Vector in Load Distribution under STATCOM

Go RMS Error Vector = sqrt((1/Time Elapsed in PWM Current Controller)*int((Error Vector in Line 1)^2+(Error Vector in Line 2)^2+(Error Vector in Line 3)^2*x,x,0,Time Elapsed in PWM Current Controller))

Positive Sequence Voltage of STATCOM

Go Positive Sequence Voltage in STATCOM = SVC Reference Voltage+Droop Reactance in STATCOM*Maximum Inductive Reactive Current

Rating of STATCOM

Go STATCOM Rating = STATCOM Maximum Voltage*Maximum Inductive Reactive Current

RMS Error Vector in Load Distribution under STATCOM Formula

What is the RMS Error Vector in Load Distribution under STATCOM?

The Root Mean Square (RMS) value of an error vector in the context of Load Distribution and Static Synchronous Compensator (STATCOM) systems refers to the average magnitude of the error vector over a certain period. The error vector typically represents the difference between the desired or reference load distribution and the actual load distribution as controlled by the STATCOM.

How to Calculate RMS Error Vector in Load Distribution under STATCOM?

RMS Error Vector in Load Distribution under STATCOM calculator uses RMS Error Vector = sqrt((1/Time Elapsed in PWM Current Controller)*int((Error Vector in Line 1)^2+(Error Vector in Line 2)^2+(Error Vector in Line 3)^2*x,x,0,Time Elapsed in PWM Current Controller)) to calculate the RMS Error Vector, The RMS Error Vector in Load Distribution under STATCOM formula is defined as the average magnitude of the error vector over a certain period. The error vector typically represents the difference between the desired or reference load distribution and the actual load distribution as controlled by the STATCOM. RMS Error Vector is denoted by E_rms symbol.

How to calculate RMS Error Vector in Load Distribution under STATCOM using this online calculator? To use this online calculator for RMS Error Vector in Load Distribution under STATCOM, enter Time Elapsed in PWM Current Controller (T), Error Vector in Line 1 (ε₁), Error Vector in Line 2 (ε₂) & Error Vector in Line 3 (ε₃) and hit the calculate button. Here is how the RMS Error Vector in Load Distribution under STATCOM calculation can be explained with given input values -> 4.182105 = sqrt((1/2)*int((2.6)^2+(2.8)^2+(1.7)^2*x,x,0,2)).

FAQ

What is RMS Error Vector in Load Distribution under STATCOM?

The RMS Error Vector in Load Distribution under STATCOM formula is defined as the average magnitude of the error vector over a certain period. The error vector typically represents the difference between the desired or reference load distribution and the actual load distribution as controlled by the STATCOM and is represented as E_rms = sqrt((1/T)*int((ε₁)^2+(ε₂)^2+(ε₃)^2*x,x,0,T)) or RMS Error Vector = sqrt((1/Time Elapsed in PWM Current Controller)*int((Error Vector in Line 1)^2+(Error Vector in Line 2)^2+(Error Vector in Line 3)^2*x,x,0,Time Elapsed in PWM Current Controller)). Time Elapsed in PWM Current Controller is defined as the time used to find the RMS errors in the lines of the PWM Current Controller, Error Vector in Line 1 is defined as the vector that represents the difference between the desired or intended line and the actual or measured line, Error Vector in Line 2 is defined as the vector that represents the difference between the desired or intended line and the actual or measured line & Error Vector in Line 3 is defined as the vector that represents the difference between the desired or intended line and the actual or measured line.

How to calculate RMS Error Vector in Load Distribution under STATCOM?

The RMS Error Vector in Load Distribution under STATCOM formula is defined as the average magnitude of the error vector over a certain period. The error vector typically represents the difference between the desired or reference load distribution and the actual load distribution as controlled by the STATCOM is calculated using RMS Error Vector = sqrt((1/Time Elapsed in PWM Current Controller)*int((Error Vector in Line 1)^2+(Error Vector in Line 2)^2+(Error Vector in Line 3)^2*x,x,0,Time Elapsed in PWM Current Controller)). To calculate RMS Error Vector in Load Distribution under STATCOM, you need Time Elapsed in PWM Current Controller (T), Error Vector in Line 1 (ε₁), Error Vector in Line 2 (ε₂) & Error Vector in Line 3 (ε₃). With our tool, you need to enter the respective value for Time Elapsed in PWM Current Controller, Error Vector in Line 1, Error Vector in Line 2 & Error Vector in Line 3 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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