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    Distribution Transformer

    Size Optimization byForecasting Customer

    Electricity Load

    Jarrod Luze

    Black Hills Power

    Rapid City, South Dakota

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    Introduction

    Electric utilities face common challengesdetermining transformer sizes.

    Study consists of 960 three phase pad-mounted transformers.

    Research and categorization of existingtransformers

    Ideal vs. actual benefit/cost analysis

    Forecasting future customer power demand

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    Study of Existing Transformers in Service

    Compared kVA name-plate rating to peakdemand of customer

    R+_ signifies that a transformer isundersized and would ideally require alarger transformer for the load.

    R-_ signifies the transformer is under-loaded, and a smaller transformer wouldsuffice.

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    Study of Existing Transformers in Service

    Out of 960, 605 were oversized-63%

    Over 10% at least 3 sizes too big

    150 kVA, 300 kVA and 500 kVA are the leastaccurately sized

    Very few transformers over-loaded

    Overall results of study show an overlyconservative sizing method

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    Existing Transformers in Service

    E xisting T ransformers in S ervice

    Transformer Classification

    0%

    20%

    40%

    60%

    80%

    100%

    kV A kVA kVA kV A kV A kVA kV A kV A kVA kVA kV A

    75 112 150 225 300 500 750 1000 1500 2000 2500

    Transformer S ize (kVA)

    3-PhasePadmounts

    R -5

    R -4

    R -3

    R -2

    R -1

    R

    R +1

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    Study of Existing Transformers in Service

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    Financial Analysis

    Capital expense of the equipment

    Operating cost = No-load power loss

    Wholesale electricity rate of $0.04/kWH

    was used

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    Financial Analysis Capital

    Estimated by using the price of the mostrecently purchased transformer of thatsize

    Sums entire purchase price* of the 960transformers (total capital expense)*Purchase price includes installation costs

    Theoretical estimated purchase cost vs.actual estimated purchase cost

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    Financial Analysis

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    Financial Analysis Operating

    No-load power loss (Watts)

    Not considered: Full-load loss, repairs and maintenance

    Conservative estimate

    PF of 0.95 used, if unable to gatherfrom database

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    Financial Analysis

    No-Load Power Loss (O&M)

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    Financial Analysis - Overall

    Assuming sizing methods and results areconsistent for all BHP transformers

    Three-phase, pad-mount share of the transformerpurchase cost is roughly 26% of the $2.5 million annual

    transformer purchase cost budget

    At 17%, $425,000 annual benefit

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    Research Application

    Increase efficiency from the sizingstatistics

    Possibilities

    Review current transformer placement,and change-out existing units based oneconomic feasibility.

    Develop more accurate transformersizing method

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    Forecasting Customer Electricity

    Loads Many factors

    Size of structure to be powered

    General purpose of structure

    Structural components

    Machines and Appliances to be installed

    Location

    Personnel capacity of building orstructure

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    Customer Categories

    This study includes

    Retail Stores

    Business offices Apartments (gas heated, electric heat)

    Many others to be considered, time-

    constraints limit this study

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    Data Collection and Calculation

    Cooperation of Customers

    Tax Equalization office supplied squarefootage information

    Averages based on Peak kVA demands

    Power factor assumed 0.95 if Unavailablein database

    Calculations of W/sf, mA/sf Consistent values, low standard of deviation in

    data

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    Results Business Offices

    Averaged 5.76 watts per square foot

    Highest: 7.09 Lowest: 4.52W/sqft

    Averaged 34% of Main Switch

    Ampacity Mainly fluorescent lighting

    Gas heated

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    Business Offices

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    Results - Retail Stores

    Averaged 4.98 W/sqft

    High: 8.13 / Low: 2.86

    Averaged 46% of Main SwitchAmpacity

    Mostly Fluorescent Lighting, some

    spot lighting

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    Retail Stores

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    Results - Apartments

    Gas Heated, summer peaking, 94.7% occ.

    Averaged 1.42 W/sqft, 1.5 W/sqft @ 100%

    High: 2.09 / Low: 0.82

    Electric Heat, winter peaking, 81.5% occ.

    Averaged 3.53 W/sqft, 4.3 W/sqft @ 100%

    High: 4.14 / Low: 2.71

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    Apartment Buildings

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    Applications

    Gives utility representatives statisticswhen discussing options with customers &contractors.

    Presents evidence & factual history to helpdecide on transformer size.

    Provides foundation and structure forfurther research of future demand andtransformer sizing.

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    Summary

    Sizing analysis shows significant costavoidance capabilities: 17% $425,000

    O&M savings (NLL only) of 31%

    Customer demand indicators may

    help utility reps with transformersizing, and provide a basis toadvance research

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    Questions?