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RMS Error Vector in Load Distribution under STATCOM Formula

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RMS Error Vector is defined as the measure of the average magnitude of the error vector in a system. Check FAQs

E rms = \sqrt{(\frac{1}{T}) \cdot \int ({(ε 1)}^{2} + {(ε 2)}^{2} + {(ε 3)}^{2} \cdot x, x, 0, T)}

E_rms - RMS Error Vector?T - Time Elapsed in PWM Current Controller?ε₁ - Error Vector in Line 1?ε₂ - Error Vector in Line 2?ε₃ - Error Vector in Line 3?

RMS Error Vector in Load Distribution under STATCOM Example

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Here is how the RMS Error Vector in Load Distribution under STATCOM equation looks like with Values.

Here is how the RMS Error Vector in Load Distribution under STATCOM equation looks like with Units.

Here is how the RMS Error Vector in Load Distribution under STATCOM equation looks like.

4.1821 = \sqrt{(\frac{1}{2}) \cdot \int ({(2.6)}^{2} + {(2.8)}^{2} + {(1.7)}^{2} \cdot x, x, 0, 2)}

4.1821 = \sqrt{(\frac{1}{2s}) \cdot \int ({(2.6)}^{2} + {(2.8)}^{2} + {(1.7)}^{2} \cdot x, x, 0, 2s)}

4.1821 = \sqrt{(\frac{1}{2}) \cdot \int ({(2.6)}^{2} + {(2.8)}^{2} + {(1.7)}^{2} \cdot x, x, 0, 2)}

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RMS Error Vector in Load Distribution under STATCOM Solution

Follow our step by step solution on how to calculate RMS Error Vector in Load Distribution under STATCOM?

FIRST Step Consider the formula

E rms = \sqrt{(\frac{1}{T}) \cdot \int ({(ε 1)}^{2} + {(ε 2)}^{2} + {(ε 3)}^{2} \cdot x, x, 0, T)}

Next Step Substitute values of Variables

∴

E rms = \sqrt{(\frac{1}{2s}) \cdot \int ({(2.6)}^{2} + {(2.8)}^{2} + {(1.7)}^{2} \cdot x, x, 0, 2s)}

Next Step Prepare to Evaluate

∴

E rms = \sqrt{(\frac{1}{2}) \cdot \int ({(2.6)}^{2} + {(2.8)}^{2} + {(1.7)}^{2} \cdot x, x, 0, 2)}

Next Step Evaluate

∴

E rms = 4.1821047332653

LAST Step Rounding Answer

∴

E rms = 4.1821

RMS Error Vector in Load Distribution under STATCOM Formula Elements

Variables

Functions

RMS Error Vector

RMS Error Vector is defined as the measure of the average magnitude of the error vector in a system.

Symbol: E_rms

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find RMS Error Vector

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.

Symbol: T

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time Elapsed in 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.

Symbol: ε₁

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Error Vector in Line 1

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.

Symbol: ε₂

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Error Vector in Line 2

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.

Symbol: ε₃

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Error Vector in Line 3

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.

Syntax: 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.

Syntax: int(expr, arg, from, to)

Other formulas in Static Synchronous Compensator(STATCOM) category

Go Positive Sequence Voltage of STATCOM

V po = ΔV ref + X droop \cdot I r(max)

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

RMS Error Vector in Load Distribution under STATCOM evaluator 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 evaluate 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 evaluate RMS Error Vector in Load Distribution under STATCOM using this online evaluator? To use this online evaluator 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.

FAQs on RMS Error Vector in Load Distribution under STATCOM

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

The formula of RMS Error Vector in Load Distribution under STATCOM is expressed as 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)). Here is an example- 4.182105 = sqrt((1/2)*int((2.6)^2+(2.8)^2+(1.7)^2*x,x,0,2)).

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

With 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) we can find RMS Error Vector in Load Distribution under STATCOM using the formula - 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)). This formula also uses Square Root (sqrt), Definite Integral (int) function(s).

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RMS Error Vector in Load Distribution under STATCOM Formula

RMS Error Vector in Load Distribution under STATCOM Example

RMS Error Vector in Load Distribution under STATCOM Solution

RMS Error Vector in Load Distribution under STATCOM Formula Elements

Other formulas in Static Synchronous Compensator(STATCOM) category

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

FAQs on RMS Error Vector in Load Distribution under STATCOM

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