Stationary UPS Sizing Calculations – Part One


As we stated in the previous article “Evaluation Criteria for Selecting an UPS-Part One”, where we explained the (8) steps for Evaluation Criteria for Selecting an UPS and left Step#3:  Determine the power requirements to be discussed later in detail. Today, we will do this.

 

 

 

Stationary UPS Sizing Calculations

 

 

 

The sizing calculations include:

  1. The UPS KVA sizing calculations,
  2. Rectifier sizing calculations,
  3. Inverter sizing calculations,
  4. The Battery sizing calculations.

 

  

 

1- The UPS sizing calculations

 

  

 

In order to properly size the UPS, the following (10) steps must be followed:

 

 

  • Step#1: List All the UPS Loads
  • Step#2: List for Each Equipment/Load, the Voltage, Number of Phases, and Frequency
  • Step#3: List the KVA for Each Equipment/Load
  • Step#4: Determine The UPS Voltage, Number Of Phases, and Frequency.
  • Step#5: Segregate the Loads (Non-Motor Loads & Motor Loads)
  • Step#6: Determining Load Power Factor and KW Demand
  • Step#7: Determining Load Inrush Current/KVA.
  • Step#8: Determine Loads’ Sequence of Operation
  • Step#9: Apply the Derating Factors (If Any)
  • Step#10:  Calculate the Design UPS Load KVA

 

 

 

 

Step#1: List All the UPS Loads

 

Make a list of the equipment/load that needs to be supplied from UPS.

 

s/n

Loads to be supplied from UPS

1

Load 1

2

Load 2

3

Load 3

….

…..

….

…...

n

Load n

 

 

 

 

 

Step#2: List for Each Equipment/Load, the Voltage, Number of Phases, And Frequency


In existing installations:

Two methods are available:

Method#1: for each equipment/load, get the voltage, number of phases, and frequency from the equipment nameplate.

Method#2: for each equipment/load, get the voltage by measuring it and you can easily determine the number of phases, and frequency by experience.


When the installation is in the planning stage or when the measurements cannot be taken:

For each equipment/load, get the voltage, number of phases, and frequency from equipment manufacturers' data.

 

At the end of step#2, the table will be as follows:

 

s/n

Loads to be supplied from UPS

Voltage

Nos. of phases

frequency

1

Load 1

 

 

 

2

Load 2

 

 

 

3

Load 3

 

 

 

….

…..

 

 

 

….

…...

 

 

 

n

Load n

 

 

 

 

Note: the load on any single-phase must never exceed 33% of the total UPS loading.

 

 

 

 

Step#3: List the KVA for Each Equipment/Load


Beside each load write its KVA, if you don’t know the load KVA, you need to determine it as follows:

In existing installations:

Two methods are available:

Method#1: get the load KVA from the equipment nameplate.

Method#2: The load kVA should be determined by measuring the current with all equipment operating.  In three-phase installations, the load current should be measured at each phase. Then, the load kVA can then be estimated as follows:

 

For Single-phase loads

kVA = VI/1000

Where:

V is the system voltage in volts

I is the measured current in amperes

 

For three-phase loads

kVA =1.73 VI/1000

Where:

V is the phase-to-phase voltage in volts

I is the highest measured phase current in amperes

 

When the installation is in the planning stage or when the measurements cannot be taken:

The individual load kVAs should be calculated from equipment manufacturers' data.

 

An approximate but conservative estimate of the total load kVA may be obtained by arithmetically adding the individual load kVAs for single phase and three phase loads individually.

At the end of step#3, the table will be as follows:



  

  


 

Step#4: Determine The UPS Voltage, Number Of Phases, And Frequency.

 

The load voltage, frequency and total load KVA requirements determine the UPS system output voltage and frequency as follows:

  • When all loads are Three-phase loads, this will require a system with three-phase output regardless of the kVA rating required.
  • When all loads are single-phase, a system with single-phase output is preferable up to a rating of 20 kVA.
  • When the single-phase loads are higher than 20 kVA, a system with three-phase output is normally used. In such a case, the single phase loads should be distributed among the three phases to minimize the phase unbalance effects on the inverter.

 

For more information about classification of ups according to No. of phases, please review the article “Classification and Types of UPS – Part One

 

 

 

 

Step#5: Segregate the Loads (Non-Motor Loads & Motor Loads)


At the end of step#5, the table will be as follows:

 


 

 

 

 

Step#6: Determining Load Power Factor and KW Demand

 

In existing installations:

The load power factor should be determined by actual measurements using a power factor meter.

 

When the installation is in the planning stage or when the measurements cannot be taken:

To calculate the load power factor, the kVA and power factor of the individual loads should be obtained by one of the following methods:

Method#1: From the owner‘s/operator’s manual available from the equipment manufacturer

Method #2: Estimated from the data in table-1

Method #3: If the above methods not available, estimate it as 0.85

 

 

Table-1 Typical load power factors and inrush requirements

 

At the end of step#6, the table will be as follows:

 


 

 

 

 

Step#7: Determining Load Inrush Current/KVA.


Definition of Inrush /starting current:

It is the maximum, instantaneous input current drawn by an electrical device when first turned on.

Examples for equipment and loads have Inrush /starting current:

  • Copiers, laser printers, etc. have high inrush currents
  • Starting currents from motors (eg, smoke extraction systems, elevators, etc.)


Important Notes:

  • Determination of the load inrush kVA is particularly important for UPS configurations without a static transfer switch and bypass capability. In these configurations, if the load inrush kVA requirements exceed the inverter capability, the inverter will reach the “current limit” mode causing the output voltage to drop.
  • In configurations with a static transfer switch and bypass capability, determining the load inrush current requirements is required for proper selection of overcurrent protective devices for the transfer switch and coordination with other overcurrent protective devices.
  • The inrush current can be omitted in the selection calculation if the load is switched on only once and run continuously till the next shutdown of the plant as we can switch the loads in manual bypass and once the loads reach the steady state current, the loads can be transferred to the UPS.
  • If the loads are switched on & off repetitively then the UPS selection should include the inrush current also.

 

In existing installations:

 

The load inrush kVA or current in existing installations should be determined by actual measurement using a high speed storage oscilloscope or oscillograph. Since all loads are not normally started simultaneously, the inrush kVA or current requirements should be determined by energizing the load with the highest inrush kVA while all other loads are connected.

 

The installation is in the planning stage or when the measurements cannot be taken:

 

In cases where measurements cannot be taken or when the installation is in the planning stage, the load inrush requirements should be calculated. Data on individual load inrush kVA and duration should be obtained by one of the following methods:

Method#1: from equipment manufacturers or

Method#2: estimated from the data in table-1 or table-2 according to the starting method.

 


Table-2 the starting current values according to the starting method used

 

At the end of step#7, the table will be as follows:

 


 

 

 

 

Step#8: Determine Loads’ Sequence of Operation


Definition of Peak Process Current

It is the maximum current drawn momentarily by the loads during the process time. This current can be repetitive in nature.  In motor loads, Peak Process Current is equivalent to the inrush current.

 

The UPS selection depends on the nos. of loads as follows:

1- If there is only one load, then the selection of UPS is simple and is based on the maximum peak Current.

 

UPS Capacity in KVA = √3 X V X Irms-peak

 

2- If there are multiple loads with a combination of static and dynamic loading characteristic, then the UPS capacity is selected based on the sequence of operation of the loads. And we will have two cases as follows:

 

Case#1 (the common Case): Sequential Operation of Load

When the loads are operated in sequence, the UPS capacity is selected based on the summation of the maximum starting current of the load (or group of motors that working simultaneously at the same time) and rms currents (FLC) of other connected loads and as shown in the below formula:

 

UPS Capacity in KVA = 1.73*V*(maximum starting current + Ʃ FLC of other connected loads)

 

Case#2 (Rare Case): Non-Sequential Operation of Loads

When the loads are not operated in a sequence, the UPS capacity is selected based on the summation of rms currents of all the connected loads and the rms peak current of all the connected load as shown in the below formula:


UPS Capacity in KVA = 1.73*V*(Ʃ starting current of all loads + Ʃ FLC of all loads)

 

 

Therefore, the procedures for step#8 will be as follows:


8.1 Calculate the full load current FLC for each equipment/load

8.2 For motor loads determine the method of starting

8.3 Calculate the starting/inrush current for each equipment /motor load by using table-1 or table-2

8.4 Select the largest starting current for the motor or group of motors that working simultaneously at the same time

8.5 Sum the full load currents for other loads than that of point 8.4

8.6 Get the total current by Adding the current from point 8.4 + the current from point 8.5 (note for case#2 the calculation will be different)

8.7 Get the total KVA from the following relations:

For Single-phase loads kVA = VI/1000

For Three-phase loads kVA = 1.73 VI/1000

8.8 For UPSs in today’s market, the levels and ranges of support time for 150% overload is Between 10 sec and 60 sec. so, divide the total KVA from point 8.7 by 1.5

8.9 Round the result from point 8.8 to the next higher standard rating of UPS

8.10 Verify the peak KVA condition as follows:

  • 8.10.A Multiply the largest starting current from point 8.4 by 1.7
  • 8.10.B Multiply the Sum of full load currents for other loads from point 8.5 by 1.41
  • 8.10.C Sum the currents from point 8.10.A + point 8.10.B
  • 8.10.D Divide the result from point 8.10.C by 3 and multiply by (1.73* voltage) to get the peak KVA
  • 8.10.E Round the result from point 8.10.D to the next higher standard rating of UPS
  • 8.10.F Compare the results from point 8.9 and point 8.10.E and take the largest value as the UPS KVA

 

 

 

 

Step#9: Apply the Derating Factors (If Any)

 

The derating factors for an UPS will be as follows:

  1. Derating for ambient temperature K1
  2. Derating for Altitude K2
  3. Derating for power factor K3

 

1- Derating For Ambient Temperature:

A UPS conforming to IEC standard shall be able to operate under rated conditions in a minimum temperature range from 0 °C to + 40 °C except for indoor office ambient temperature range from +10 °C to + 35 °C.

If UPS KVA rating is applicable at a higher ambient temperature than specified 40 deg.c, you need to consider a derating factor of at least 1.5%/deg.c above the 40 deg.c

 

K1 = 1.5%/deg.c above the 40 deg.c

 

 

2- Derating for Altitude:

A UPS shall be designed to operate under rated conditions at a height up to and including 1 000 m above sea level.

Note:

The manufacturer can state on request a necessary derating of equipment to be applied at a height exceeding 1 000 m. The following table is provided for guidance.

 

Table-3 derating factors for use at altitudes above 1000 m

 

K2 = value from Table-3

 

 

3- Derating for power factor

From the table of step#5, the total load power factor can be calculated as follows:


Total KVA Demand = (Ʃ three phase loads KVA + Ʃ single phase loads KVA/3)

Total KW Demand = (Ʃ three phase loads KW + Ʃ single phase loads KW/3)

The total load power factor = Total KW Demand/ Total KVA Demand

 

Estimating the total load power factor is necessary since the kVA rating and performance parameters of most UPS system designs are guaranteed only at a power factor range of 0.8 lagging. Other power factors values will affect The UPS system kVA capacity and performance parameters.

For example, Some UPS products have difficulty handling leading PF loads like the active PFC circuits present in IT devices which may cause instability when connected to a regulating source such as a UPS or generator (see fig.1)

 


Fig.1 UPS with leading power factor derating

 

What are the solutions to leading PF loads?

For installations that are already showing symptoms of the problems created by leading power factor loads, there are only two feasible solutions:

 

  • Choose a UPS that is rated to handle leading power factor loads without derating. This type of UPS will have been tested to .90 or .95 PF leading.
  • Severe derating (up to 40%) of the UPS if it is unable to support leading loads.

 

Option (2) above, could result in cost increases about 30% over the base cost of the power protection equipment. Fortunately, there are UPS products readily available which are designed to handle these loads.

 

K3 = 0.2 to 0.4

 

So,

 

Derated UPS Capacity in KVA = UPS Capacity in KVA from point 8.10.F at step#8 / (K1*K2*K3)

 

 

 

 

Step#10:  Calculate the Design UPS Load KVA


There are two other factors that affecting the UPS Sizing calculation:

  1. The Load Growth Factor (LGF),
  2. Design Margin Factor (DMF).

 

1- The Load Growth Factor (LGF)

It is common to make considerations for future load growth (typically between 5 and 20%), to allow future loads to be supported. If no future loads are expected, then this contingency can be ignored.

 

2- Design Margin Factor (DMF)

Also, a design margin is used to account for any potential inaccuracies in estimating the loads, less-than-optimum operating conditions due to improper maintenance, etc. Typically, a design margin of 10% to 15% is recommended, but this may also depend on Client preferences.

 

Therefore,

 

The Design UPS Load KVA = Derated UPS Capacity in KVA from step#9 * (1+LGF)*(1+DMF)

 

 

 

In the next Article, we will explain the Rectifier, Inverter & Battery sizing Calculations. So, please keep following.

 

Subject Of Pervious Article

Article

Applicable Standards for UPS Systems

What is a UPS?

Why do we need a UPS?

UPS Rating

Classification of UPS:

1-Voltage range,

2-No. of phases,

3- Mobility,

4- Technological design,

Classification and Types of UPS – Part One


5- Physical Size/capacity,

6- Form factor/ configurations:

6.1- “N” System Configuration

Classification and Types of UPS – Part Two


6.2- “N+1” System Configuration, which includes:

  • Isolated Redundant Configuration (N +1)
  • Parallel Redundant Configuration (1+1)
  • Parallel Redundant Configuration (N +1)
  • Parallel Redundant Configuration (N +2) and so on

6.3- Parallel Redundant with Dual Bus Configuration (N+1 or 1+1)

Classification and Types of UPS – Part Three


 

6.4- Parallel Redundant with STS Configuration

  • Parallel Redundant Configuration (1+1) + STS
  • Parallel Redundant Configuration (N+1) + STS

6.5- System plus System 2(N+1), 2N+2, [(N+1) + (N+1)], and 2N

Classification and Types of UPS – Part Four


 

 

7- According to UPS Topology

7.1 Off-line or Standby UPS,

7.2 Line Interactive UPS,

7.3 Standby-Ferro UPS,

7.4 Online Double Conversion UPS,

7.5 The Delta Conversion On-Line UPS.

Classification and Types of UPS – Part Five

 

 

 

8- According to UPS Distribution Architecture

8.1 Centralized UPS Configuration,

8.2 Distributed (Decentralized) UPS Configuration,

8.2.1 Distributed UPS-Zonewise Configuration

8.3 Hybrid UPS Configuration.

Conventional (Monolithic) Vs Modular UPS System:

  • Deploy UPSs in parallel,
  • Deploy UPSs in Series,
  • Use modular UPS products.

Classification and Types of UPS – Part Six


 

Three Basic Configurations Of Mains And Bypass For A UPS System:

  • Single mains,
  • Single mains without bypass,
  • Dual mains.

9-According to Use of transformers with the UPS

  • Transformer based,
  • Transformer less UPS,
  • Transformer less UPS with external input/ output transformer.

Classification and Types of UPS – Part Seven


 

 

Transformer Arrangements in Practical UPS Systems:

1-Transformer options for the “single mains” configuration

2-Transformer Options for the “Dual Mains” Configuration

Classification and Types of UPS – Part Eight


 

3- Transformer options for “single mains without bypass”

Classification and Types of UPS – Part Nine

Components of Online Double Conversion UPS:

1- Rectifier,

2- Inverter,

3- Energy Storage system:

3.1 Battery

Components of Online Double Conversion UPS– Part One


 

 

3.1.1 Battery Configurations

  • Serial Strings,
  • Parallel Strings.

3.1.2 Battery Size and Location

3.1.3 Battery Transition Boxes

3.1.4 Battery Monitoring

3.2 Energy Storage System – Flywheel

3.3 Energy Storage system – Super Capacitors

3.4 Hydrogen Fuel Cells

4- Static switch

Earthing Principles of UPS Systems

Components of Online Double Conversion UPS – Part Two


 

Evaluation Criteria for Selecting an UPS:

Step#1: Determining the need for an UPS,

Step#2: Determining the purpose(s) of the UPS,

Step#3: Determining the power requirements,

Step#4: Selecting the type of UPS,

Step#5: Determining if the safety of the selected UPS is acceptable,

Step#6: Determining if the availability of the selected UPS is acceptable,

Step#7: Determining if the selected UPS is maintainable, and

Step#8: Determining if the selected UPS is affordable.


 

 

 

Example: Selecting an Uninterruptible Power Supply (UPS)

UPS System Ratings and Service Conditions:

  • First: from IEC 60146-4
  • Second: according to American standards

Evaluation Criteria for Selecting an UPS-Part Two


 

 

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