How To Compute Energy Consumption and Its Cost

in #education6 years ago

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Do you ever wonder how power companies charge us for using our equipment, appliances, and computers? Do you know how to compute for the energy consumed by those? Do you know how to compute for the cost of our energy consumption?

In this article, I’m going to teach you how to calculate for the energy consumed by most equipment and appliances that we are using as well as its cost.

Power companies are not charging us for power, but for energy. In physics, energy is defined as the capacity of doing work. There are many forms of energy, but we are talking about electrical energy here.

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Energy (W) is the product of Power and time.

In equation form, this is given as
E = P x t

Since Power is the product of current and voltage, we can also express energy using current, voltage, and time.

In equation form, this is given as
E = I x V x t

The cost for our energy consumption is determined by the product of the energy and rate per kilowatt-hour charged by the power companies.

Where
Cost = Energy x rate

The unit of energy used to calculate our energy consumption is the kilowatt-hour (kWh). Currently, the rate per kilowatt-hour for residential consumption in Cebu (VECO’s rate) is Php 11.89 or approximately Php 12 (0.23 USD).

Here in the Philippines, we are usually billed monthly. And to determine how much energy is consumed for a given period of time, an electric meter is being used.

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Since most of our equipment, appliances and gadgets has a constant power rating, energy consumption depends on the number of hours these equipment and appliances are actually operated.

Below is the list of power ratings of the common equipment and appliances that we are using:

Household Appliances


Household Appliances:Power Rating
Washing Machine (non-auto)280 W
Washing Machine (automatic)585 W
Water Heater1,500 W
Flat Iron750-1,000 W

Lighting Fixtures


Lighting Fixtures:Power Rating
Fluorescent Lamp20-40 W
Ceiling Fixtures (3-lamps)120 W

Cooking Equipment


Cooking Equipment:Power Rating
Blender/Grinder/Mixer300-700 W
Refrigerator Freezer, 12 cu. ft.300 W
Refrigerator, 10 cu. ft.170 W

Entertainment Systems


Entertainment Systems:Power Rating
DVD/VCD Player300 W
T.V. Set Color, 16"90 W
T.V. Set Color, 20"110 W
Stereo Component380 W

Cooling Equipment


Cooling Equipment:Power Rating
Airconditioning Unit (0.75 HP)727 W
Airconditioning Unit (1.0 HP)944 W
Desk Fan 10"50 W
Stand Fan 16"80 W
Ceiling Fan, 3-blader140 W
Ceiling Fan, 4-blader160 W

Computer


ComputerPower Rating
PC with monitor225 W
Desk Jet Printer175 W
Scanner12 W

Given the power rating of some equipment and appliances, we can now compute for the energy consumption with our assumption for the time that it is operated.

Let’s have the washing machine (non-auto) for our first sample computation.

Assuming that we are using it for 2 hours. Then, we can compute for its energy consumption and cost by using the formula stated above.

Energy = Power x time

Washing Machine (non-auto):

Power RatingTimeRate
280 W2 hoursPhp 11.89/kWh

Energy = (280/1000 kW) x 2 hrs
Energy = 0.280 kW x 2 hours
Energy = 0.56 kWh
Note: We divide 280 Watts by 1000 to convert it into kilowatts since 1kW = 1000 W

Computing the cost,
Cost = Energy x rate
Cost = 0.56 kWh x Php 11.89/kWh
Therefore, the cost for Washing Machine (non-auto) operated for 2 hours is Php 6.6584 (0.13 USD)

Let’s compute the cost for using PC with monitor for half day (12 hours):

PC with monitor:

Power RatingTimeRate
225 W12 hoursPhp 11.89/kWh

Energy = (225 /1000 kW) x 12 hrs
Energy = 0.225 kW x 12 hours
Energy = 2.7 kWh
Note: We divide 225 Watts by 1000 to convert it into kilowatts since 1kW = 1000 W

Computing the cost,
Cost = Energy x rate
Cost = 2.7 kWh x Php 11.89/kWh

Therefore, the cost for PC with monitor operated for 12 hours is Php 32.103 (0.62 USD)


Assuming that every day, a household operates the following appliances with a specific duration. Let's compute for the total cost that they will pay in a month.

AppliancesPower RatingTime
T.V. Set Color, 20"110 W12 hours
Flourescent Lamp20 W6 hours
Refrigerator Freezer, 12 cu. ft.300 W20 hours
Desk Fan 10"50 W10 hours
Ceiling Fan, 3-blader140 W10 hours
Washing Machine (non-auto)280 W2 hours
Flat Iron750 W2 hours
PC with monitor225 W8 hours

COMPUTATION:

T.V. Set Color, 20":

Power RatingTimeRate
110 W12 hoursPhp 11.89/kWh

Energy = (110/1000 kW) x 12 hrs
Energy = 0.110 kW x 12 hours
Energy = 1.32 kWh

Computing the cost,
Cost = Energy x rate
Cost = 1.32 kWh x Php 11.89/kWh

Cost = Php 15.6948 (0.30 USD)


Flourescent Lamp

Power RatingTimeRate
20 W6 hoursPhp 11.89/kWh

Energy = (20/1000) kW x 6 hrs
Energy = 0.020 kW x 6 hours
Energy = 0.12 kWh

Computing the cost,
Cost = Energy x rate
Cost = 0.12 kWh x Php 11.89/kWh

Cost = Php 1.4268 (0.027 USD)


Refrigerator Freezer, 12 cu. ft.

Power RatingTimeRate
300 W20 hoursPhp 11.89/kWh

Energy = (300/1000 kW) x 20 hrs
Energy = 0.3 kW x 20 hours
Energy = 6 kWh

Computing the cost,
Cost = Energy x rate
Cost = 6 kWh x Php 11.89/kWh

Cost = Php 71.34 (1.36 USD)


Desk Fan 10"

Power RatingTimeRate
50 W10 hoursPhp 11.89/kWh

Energy = (50/1000 kW) x 10 hrs
Energy = 0.05 kW x 10 hours
Energy = 0.5 kWh

Computing the cost,
Cost = Energy x rate
Cost = 0.5 kWh x Php 11.89/kWh

Cost = Php 5.945 (0.11 USD)


Ceiling Fan, 3-blader

Power RatingTimeRate
140W10 hoursPhp 11.89/kWh

Energy = (140/1000 kW) x 10 hrs
Energy = 0.14 kW x 10 hours
Energy = 1.4 kWh

Computing the cost,
Cost = Energy x rate
Cost = 1.4 kWh x Php 11.89/kWh

Cost = Php 16.646 (0.32 USD)


Washing Machine (non-auto):

Power RatingTimeRate
280 W2 hoursPhp 11.89/kWh

Energy = (280/1000 kW) x 2 hrs
Energy = 0.280 kW x 2 hours
Energy = 0.56 kWh

Computing the cost,
Cost = Energy x rate
Cost = 0.56 kWh x Php 11.89/kWh

Cost = Php 6.6584 (0.13 USD)


Flat Iron

Power RatingTimeRate
750 W2 hoursPhp 11.89/kWh

Energy = (750/1000 kW) x 2 hrs
Energy = 0.75 kW x 2 hours
Energy = 1.5 kWh

Computing the cost,
Cost = Energy x rate
Cost = 1.5 kWh x Php 11.89/kWh

Cost = Php 17.835 (0.34 USD)


PC with monitor:

Power RatingTimeRate
225 W8 hoursPhp 11.89/kWh

Energy = (225/1000 kW) x 8 hrs
Energy = 0.225 kW x 8 hours
Energy = 1.8 kWh

Computing the cost,
Cost = Energy x rate
Cost = 1.8 kWh x Php 11.89/kWh

Cost = Php 21.402 (0.41 USD)


The summation of cost is:

AppliancesCost
T.V. Set Color, 20"Php 15.6948 (0.3 USD)
Flourescent LampPhp 1.4268 (0.027 USD)
Refrigerator Freezer, 12 cu. ft.Php 71.34 (1.36 USD)
Desk Fan 10"Php 5.945 (0.11 USD)
Ceiling Fan, 3-bladerPhp 16.646 (0.32 USD)
Washing Machine (non-auto)Php 6.6584 (0.13 USD)
Flat IronPhp 17.835 (0.34 USD)
PC with monitorPhp 21. 402 (0.41 USD)
Total =Php 156.95 (2.997 USD)

That is the total cost as operated in one day. Since we are assuming that a household operate those appliances with a specific duration every day, then, we can compute their monthly consumption.
Monthly bill = Php 156.95 (2.997 USD) x 30 days
Monthly bill = Php 4708.44 (89.55 USD)

Obviously, the cost of our consumption varies with the power rating of the equipment/appliances and the period of time that it is operated.
The greater the power rating the greater the cost. And the greater the duration that the equipment or appliances is operated the greater the energy consumption and the cost.

So that’s how to compute for the energy consumption of our equipment and appliances as well as the cost for the energy consumption.

For further questions and/or inquiries about this article, please feel free to leave a comment.

Written by:
Jemarie S. Fuentes
Registered Electronics Engineer

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