Dielectric Loss due to Heating in Cables Calculator

✖Angular Frequency of a steadily recurring phenomenon expressed in radians per second.ⓘ Angular Frequency [ω]			+10% -10%
✖Capacitance is defined as the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.ⓘ Capacitance [C]			+10% -10%
✖Voltage, electric potential difference, electric pressure, is the difference in electric potential between two points.ⓘ Voltage [V]			+10% -10%
✖Loss Angle is defined as measure of the power loss is equal to the amount by which the angle between the phasors denoting voltage and current across the inductor or capacitor differs.ⓘ Loss Angle [∠δ]			+10% -10%

✖Dielectric Loss is loss of energy that goes into heating a dielectric material in a varying electric field.ⓘ Dielectric Loss due to Heating in Cables [D_f]

⎘ Copy

👎

Formula

✖

Dielectric Loss due to Heating in Cables

Formula

`"D"_{"f"} = "ω"*"C"*"V"^2*tan("∠δ")`

Example

`"232.7876W"="10rad/s"*"2.8mF"*("120V")^2*tan("30°")`

Calculator

LaTeX

Reset

👍

Download Line Performance Characteristics Formulas PDF

Dielectric Loss due to Heating in Cables Solution

STEP 0: Pre-Calculation Summary

Formula Used

Dielectric Loss = Angular Frequency*Capacitance*Voltage^2*tan(Loss Angle)
D_f = ω*C*V^2*tan(∠δ)
This formula uses 1 Functions, 5 Variables

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)

Variables Used

Dielectric Loss - (Measured in Watt) - Dielectric Loss is loss of energy that goes into heating a dielectric material in a varying electric field.
Angular Frequency - (Measured in Radian per Second) - Angular Frequency of a steadily recurring phenomenon expressed in radians per second.
Capacitance - (Measured in Farad) - Capacitance is defined as the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.
Voltage - (Measured in Volt) - Voltage, electric potential difference, electric pressure, is the difference in electric potential between two points.
Loss Angle - (Measured in Radian) - Loss Angle is defined as measure of the power loss is equal to the amount by which the angle between the phasors denoting voltage and current across the inductor or capacitor differs.

STEP 1: Convert Input(s) to Base Unit

Angular Frequency: 10 Radian per Second --> 10 Radian per Second No Conversion Required
Capacitance: 2.8 Millifarad --> 0.0028 Farad (Check conversion here)
Voltage: 120 Volt --> 120 Volt No Conversion Required
Loss Angle: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_f = ω*C*V^2*tan(∠δ) --> 10*0.0028*120^2*tan(0.5235987755982)

Evaluating ... ...

D_f = 232.787628537257

STEP 3: Convert Result to Output's Unit

232.787628537257 Watt --> No Conversion Required

FINAL ANSWER

232.787628537257 ≈ 232.7876 Watt <-- Dielectric Loss

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Electrical » Power System » Transmission Lines » Line Performance Characteristics » Dielectric Loss due to Heating in Cables

Credits

Created by Prahalad Singh

Jaipur Engineering College and Research Centre (JECRC), Jaipur

Prahalad Singh has created this Calculator and 100+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< 15 Line Performance Characteristics Calculators

Receiving End Real Power Component

Go Real Power = ((Receiving End Voltage*Sending End Voltage/B Parameter)*sin(Beta B-Parameter-Alpha A-Parameter))-((A Parameter*(Receiving End Voltage^2)*sin(Beta B-Parameter-Alpha A-Parameter))/B Parameter)

B-Parameter using Receiving End Reactive Power Component

Go B Parameter = (((Receiving End Voltage*Sending End Voltage)*cos(Beta B-Parameter-Alpha A-Parameter))-(A Parameter*(Receiving End Voltage^2)*cos(Beta B-Parameter-Alpha A-Parameter)))/Reactive Power

B-Parameter using Receiving End Real Power Component

Go B Parameter = (((Receiving End Voltage*Sending End Voltage)*sin(Beta B-Parameter-Alpha A-Parameter))-(A Parameter*Receiving End Voltage^2*sin(Beta B-Parameter-Alpha A-Parameter)))/Real Power

Penetration Depth of Eddy Currents

Go Penetration Depth = 1/sqrt(pi*Frequency*Magnetic Permeability of Medium*Electrical Conductivity)

Skin Depth in Conductor

Go Skin Depth = sqrt(Specific Resistance/(Frequency*Relative Permeability*4*pi*10^-7))

Dielectric Loss due to Heating in Cables

Go Dielectric Loss = Angular Frequency*Capacitance*Voltage^2*tan(Loss Angle)

Sag of Transmission Line

Go Sag of Transmission Line = (Weight of Conductor*Span Length^2)/(8*Working Tension)

Base Current for Three-Phase System

Go Base Current = Base Power/(sqrt(3)*Base Voltage)

Base Impedance given Base Current

Go Base Impedance = Base Voltage/Base Current (PU)

Complex Power given Current

Go Complex Power = Electric Current^2*Impedance

Base Current

Go Base Current (PU) = Base Power/Base Voltage

Base Voltage

Go Base Voltage = Base Power/Base Current (PU)

Base Power

Go Base Power = Base Voltage*Base Current

Phase Current for Balanced Three-Phase Delta Connection

Go Phase Current = Line Current/sqrt(3)

Phase Voltage for Balanced Three-Phase Star Connection

Go Phase Voltage = Line Voltage/sqrt(3)

Dielectric Loss due to Heating in Cables Formula

Dielectric Loss = Angular Frequency*Capacitance*Voltage^2*tan(Loss Angle)
D_f = ω*C*V^2*tan(∠δ)

What is dielectric constant?

Dielectric constant is the ratio of the absolute permittivity of the medium (ε) and the permittivity of free space.

How to Calculate Dielectric Loss due to Heating in Cables?

Dielectric Loss due to Heating in Cables calculator uses Dielectric Loss = Angular Frequency*Capacitance*Voltage^2*tan(Loss Angle) to calculate the Dielectric Loss, Dielectric Loss due to heating in cables formula is defined as the product of angular frequency, capacitance, square of voltage with tangent angle. Dielectric Loss is denoted by D_f symbol.

How to calculate Dielectric Loss due to Heating in Cables using this online calculator? To use this online calculator for Dielectric Loss due to Heating in Cables, enter Angular Frequency (ω), Capacitance (C), Voltage (V) & Loss Angle (∠δ) and hit the calculate button. Here is how the Dielectric Loss due to Heating in Cables calculation can be explained with given input values -> 232.7876 = 10*0.0028*120^2*tan(0.5235987755982).

FAQ

What is Dielectric Loss due to Heating in Cables?

Dielectric Loss due to heating in cables formula is defined as the product of angular frequency, capacitance, square of voltage with tangent angle and is represented as D_f = ω*C*V^2*tan(∠δ) or Dielectric Loss = Angular Frequency*Capacitance*Voltage^2*tan(Loss Angle). Angular Frequency of a steadily recurring phenomenon expressed in radians per second, Capacitance is defined as the ratio of the amount of electric charge stored on a conductor to a difference in electric potential, Voltage, electric potential difference, electric pressure, is the difference in electric potential between two points & Loss Angle is defined as measure of the power loss is equal to the amount by which the angle between the phasors denoting voltage and current across the inductor or capacitor differs.

How to calculate Dielectric Loss due to Heating in Cables?

Dielectric Loss due to heating in cables formula is defined as the product of angular frequency, capacitance, square of voltage with tangent angle is calculated using Dielectric Loss = Angular Frequency*Capacitance*Voltage^2*tan(Loss Angle). To calculate Dielectric Loss due to Heating in Cables, you need Angular Frequency (ω), Capacitance (C), Voltage (V) & Loss Angle (∠δ). With our tool, you need to enter the respective value for Angular Frequency, Capacitance, Voltage & Loss Angle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search