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Anonymous Poster #1

UPS Calculation and Diversity Factor

05/29/2011 1:20 AM

I am in need of ups for 63A, 3 Phase,50Hz,35KW for production oriented andon power points.The back up should be of 1 and half an hour........ Since i am a fresher i dont know how to calculate.Can u explain me with brief formula and example.So the ferther can be done by me........

What is ment by diversity factore , I know its the ratio between connected load and demand load, but some example are given in KVA,A,KW. I am totaly confused with that.In some they are taking 70% and multiplying with demand load.. Please get a std formula or the correct procedure to calculate it.

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#1

Re: UPS calculation and diversity factore

05/29/2011 2:12 AM

Null post. (I was trying to reply to another thread, so I moved my comment out of here.)

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#2

Re: UPS calculation and diversity factore

05/29/2011 2:55 AM

Diversity factor: The probability that a particular piece of equipment will come on at the time of the facility's peak load. It is the ratio of the sum of the individual non-coincident maximum demands of various subdivisions of the system to the maximum demand of the complete system. The diversity factor is always greater than 1. The (unofficial) term diversity, as distinguished from diversity factor refers to the percent of time available that a machine, piece of equipment, or facility has its maximum or nominal load or demand (a 70% diversity means that the device in question operates at its nominal or maximum load level 70% of the time that it is connected and turned on).

Diversity factor is commonly used for a number of mathematics-related topics. One such instance is when completing a coordination study for a system. This diversity factor is used to estimate the load of a particular node in the system....DRAW YOUR POWER TRIANGLE AND VISUALIZE THE RELATIONS OF KW(true power), KVA(apparent power). KVAr(Reactive power), as your angle Theta indicates your vector angle, then perform simple trigonometry.

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#3

Re: UPS calculation and diversity factore

05/29/2011 2:59 AM

HERE is the formula:

Diversity Factor = Sum of Individual Max. Demand divided by Max. Demand on Power Station

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#4

Re: UPS calculation and diversity factory

05/29/2011 7:59 AM

Let's take this as simple as possible here.

How many equipments you are having there? How many of them you think they will work at the same time? 50% or 90%. That is diversity factor. You multiple that percent with the total load. The final figure will be less than the original one. It means that you have considered the diversity factor.

Then you size the UPS capacity base on that fact. Then consult the UPS supplier that you will need this amount of kW of UPS within this hour. They will then recommend you.

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#5

Re: UPS Calculation And Diversity Factore

05/29/2011 10:52 AM

Regardless of diversity the UPS has got to be capable of handling the full load.

Diversity will affect the time the UPS can maintain output.

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#6

Re: UPS Calculation and Diversity Factor

05/29/2011 10:52 PM

As you state 50Hz supply I guess you are in the UK, so please find a copy of the electrical regs and study..... also as you are a student, you may want to wait until the subject is covered in the next lecture, but until then here is a few pointers for you...

Diversity describes the situation in an electrical installation in which (1) not all loads connected to the system are operating simultaneously, or (2) loads are not simultaneously operating at the maximum rating. Diversity is used when determining the current loading on an electrical system in order to determine appropriate conductor sizes.

Allowable diversities are usually specified in the relevant electrical code or wiring regulations. For example, the 'On-Site Guide' supplement to the UK's BS 7671:2008 Wiring Regulations specifies how demand is to be determined for a household cooking appliance (range) as follows:

"The first 10 A of the rated current, plus 30% of the remainder of the rated current, plus 5 A if a socket outlet is incorporated in the control unit."

Also.......to help remove your confusion!!

A volt-ampere (VA) is the unit used for the apparent power in an electrical circuit, equal to the product of root-mean-square (RMS) voltage and RMS current.[1] In direct current (DC) circuits, this product is equal to the real power (active power) in watts. Volt-amperes are useful only in the context of alternating current (AC) circuits (sinusoidal voltages and currents of the same frequency).

KVA

Apparent power is the vector sum of real (P) and reactive (jQ) AC power vectors While both the volt-ampere (abbreviated VA) and the watt have the dimension of power (time rate of energy), they do not have the same meaning. Some devices, including Uninterruptible Power Supplies (UPSs), have ratings both for maximum VAs and maximum watts.

The VA rating is limited by the maximum permissible current, and the watt rating by the power-handling capacity of the device. When a UPS powers equipment which presents a reactive load with a low power factor (e.g., a computer), neither limit may safely be exceeded.

Kilowatt

The kilowatt is equal to one thousand (103) watts. This unit is typically used to express the output power of engines and the power consumption of electric motors, tools, machines, and heaters. It is also a common unit used to express the electromagnetic power output of broadcast radio and television transmitters.

One kilowatt of power is approximately equal to 1.34 horsepower. A small electric heater with one heating element can use 1.0 kilowatt. The average annual electrical energy consumption of a household in the United States is about 8,900 kilowatt-hours (cf the average UK household's approx 4,700 kilowatt-hours for example), equivalent to a steady power consumption of about 1 kW for an entire year.[4] Also, kilowatts of light power can be measured in the output pulses of some lasers.

Confusion of watts, watt-hours, and watts per hour

The terms power and energy are frequently confused. Power is the rate at which energy is generated or consumed.

For example, when a light bulb with a power rating of 100W is turned on for one hour, the energy used is 100 watt-hours (W•h), 0.1 kilowatt-hour, or 360 kJ. This same amount of energy would light a 40-watt bulb for 2.5 hours, or a 50-watt bulb for 2 hours. A power station would be rated in multiples of watts, but its annual energy sales would be in multiples of watt-hours. A kilowatt-hour is the amount of energy equivalent to a steady power of 1 kilowatt running for 1 hour, or 3.6 MJ. Terms such as watts per hour are often misused.[15] Watts per hour properly refers to the change of power per hour. Watts per hour (W/h) might be useful to characterize the ramp-up behavior of power plants. For example, a power plant that reaches a power output of 1 MW from 0 MW in 15 minutes has a ramp-up rate of 4 MW/h. Hydroelectric power plants have a very high ramp-up rate, which makes them particularly useful in peak load and emergency situations.

Major energy production or consumption is often expressed as terawatt-hours for a given period that is often a calendar year or financial year. One terawatt-hour is equal to a sustained power of approximately 114 megawatts for a period of one year.

The ampere (symbol: A) is the SI unit of electric current (symbol: I) and is one of the seven SI base units. It is named after André-Marie Ampère (1775-1836), French mathematician and physicist, considered the father of electrodynamics. In practice, its name is often shortened to amp.

In practical terms, the ampere is a measure of the amount of electric charge passing a point per unit time. Around 6.241 × 10(18) electrons, or one coulomb, passing a given point each second constitutes one ampere.

Thanks given to Wikipedia.... side question, do they not teach students how do do "research" these days??

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#7
In reply to #6

Re: UPS Calculation and Diversity Factor

05/30/2011 2:05 AM

side question, do they not teach students how do do "research" these days??

No!

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#8

Re: UPS Calculation and Diversity Factor

05/30/2011 8:35 AM

The following formula below can be used to calculate battery charger size. Assuming the UPS is a float configuration where the charger also supplies the inverter with DC power.

Battery Charger size in Amps = {(Ib X Td X K)/Tr + Ii+Ia}

Where:

Ib = Battery Current Required=

((Inverter VA x Power Factor)/DC to AC Efficiency)/DCV

DCV-Average Discharge Voltage

Ii = Inverter Current Required =

((Inverter VA x Power Factor)/DC to AC Efficiency)/Float Voltage

Ia = Any additional DC Loads in amperes

Td = Battery Discharge (Run) Time in hours

Tr = Battery Recharge Time in hours

Battery Sizing:

KW/cell =[{(KVA x PF)/(EFF x Number Of Cells)}+ AL]

KVA = KVA of the load
PF = Power factor of load
EFF = Efficiency of the UPS at the given load

No. Cells = Number of cells required. The number of cells required will be specified by the UPS manufactured.

AL = Any additional loads on the battery expressed in kilowatts.

DC Amp = [{(KVA x PF x 1000)/(EFF x DCV)} + AL]

KVA = KVA of the load
PF = Power factor of the load
EFF = Efficiency of the UPS at the given load
DCV = Average Discharge Voltage - For a 130 VDC system, this is 109V

AS = Additional loads expressed in amperes

Diversity Factor: The ratio of the sum of the individual maximum demands to the maximum demand on a power station is known as Diversity Factor.

Diversity Factor = Sum of individual demands/ maximum demand on power station

A power station supplies load to various types of consumers whose maximum demands generally do not occur at same time. Therefore, the maximum demand on the power station is always less than the sum of individual demands of the consumers. So, diversity factor will always be greater than 1. The greater the diversity factor, lesser the cost of generation of power from power station.

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#10
In reply to #8

Re: UPS Calculation and Diversity Factor

06/05/2011 12:28 AM

Thank You

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#9

Re: UPS Calculation and Diversity Factor

05/31/2011 7:15 AM

Plz get any standard 50 KVA / 40 KW / 45 KW 3 Phase UPS installed which has standard short term overload ratings as 125% for 10 Minutes, 150% for 1 Minute and about 200% for 1 Sec ...Good Luck !

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Sanjeev

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