1. Executive Summary
Keentel Engineering Solutions was retained by the host utility to determine why its reported total system losses had drifted from 5.9 percent to 6.8 percent of energy input over five reporting years, to decompose those losses into components an engineer could act on, and to produce a loss model defensible enough to support both a capital program and a regulatory filing. The Client had a top-down energy balance and nothing else. It could state that 232,560 MWh disappeared each year between the wholesale delivery meters and the customer bills; it could not state where, why, or what any of it cost to fix. The engagement was structured as a reconciliation problem rather than a modeling exercise. Two independent estimates of loss were built and forced to agree. The top-down estimate came from an energy balance across 6 bulk delivery points, 4 embedded generators, 292,000 customer meters and an estimated unbilled quantity. The bottom-up estimate came from an 8,760-hour time-series simulation of all 168 distribution feeders in CYME as part of Keentel’s power system studies workflow, cross-checked against the Client's legacy Milsoft models, with the 138 kV subtransmission layer carried in PSS®E and the whole reconciliation orchestrated by a Python framework that ingested AMI, CIS billing, SCADA and wholesale settlement data. Agreement between the two estimates — a mean absolute monthly deviation of 0.3 percentage points after billing calendarization — was the study's principal validation test, and the only credible basis for splitting technical from non-technical loss. The answer was that 5.1 percentage points of the 6.8 were technical and 1.7 were not. Within the technical portion, 62 percent was load-dependent and 38 percent was fixed, and the single largest component in the entire system was distribution transformer no-load loss at 1.4 percent of system energy — the product of 70,400 units, a third of them predating any efficiency standard, with a median peak loading of 22 percent of nameplate. Three secondary drivers followed: severe current unbalance on the worst 20 feeders, nine surviving 4.16 kV circuits carrying 3.1 percent of energy but 8.4 percent of technical losses, and 118 of 386 capacitor banks not switching as designed. The recommended nine-measure program costs $14.34 million, reduces technical losses from 5.1 percent to 3.9 percent, saves approximately 41,000 MWh and 8.6 MW of coincident peak annually, returns a net present value of $10.4 million at a 7 percent real discount rate, and pays back in a blended 6.4 years. The worst feeder in the system was taken from 9.2 percent losses to 4.1 percent. Avoided emissions are approximately 17,200 metric tons of CO2 per year. Figures presented are representative of the delivered study and have been generalized to protect client confidentiality. Study at a Glance
| Parameter | Value |
|---|---|
| System studied | 138 kV subtransmission, 26 substations, 168 distribution feeders |
| Annual energy input / coincident peak | 3,420,000 MWh / 700 MW |
| Total losses as found | 6.8 percent of input (5.1 technical, 1.7 non-technical) |
| Technical loss split | 62 percent load-dependent, 38 percent no-load |
| Largest single component | Distribution transformer no-load loss, 1.4 percent of input |
| Bottom-up to top-down reconciliation | 0.3 percentage point mean absolute monthly deviation |
| Recommended program | $14.34M capital, 41,040 MWh/yr, 8.6 MW coincident peak |
| Program result | Technical losses 5.1 percent to 3.9 percent, 6.4-year payback |
2. Background and Study Drivers
The Client is a vertically integrated utility serving approximately 292,000 customers through 412 miles of 138 kV subtransmission, 26 distribution substations and 3,140 miles of primary distribution, predominantly 12.47 kV with nine legacy 4.16 kV circuits fed from three older substations. Energy enters the system at six 230/138 kV bulk delivery points and from four embedded generators connected at 138 kV, including two 20 MW solar facilities. Behind-the-meter photovoltaic penetration stood at 61 MW nameplate at the time of study. Three pressures converged to trigger the engagement. The first was arithmetic. Reported losses had risen from 5.9 percent to 6.8 percent over five reporting years. At a marginal energy cost of $38 per MWh, the 0.9 percentage point drift alone represented approximately $1.17 million per year of energy the Client purchased and could not bill. Nobody could say whether the drift was real, a metering artifact, or a billing calendar effect. The second was regulatory. The Client's line loss factors, used to gross up retail sales to wholesale purchase quantities and embedded in every rate class, had been derived from a study performed decades earlier and updated since only by scaling. In the Client's most recent general rate case, intervenor testimony challenged the loss factors directly, arguing they were stale, unsupported by any current engineering analysis, and allocated in a manner that shifted cost between rate classes without evidentiary basis. The Client had no adequate answer. Commission staff signaled that the next filing would require a contemporaneous loss study with an auditable methodology. The third was capital planning. The Client's distribution planning group had a standing list of candidate loss-reduction projects — reconductoring, voltage conversion, capacitor additions — but no consistent economic framework with which to rank them against each other or against reliability-driven work. Projects were justified individually, with inconsistent energy prices, inconsistent discount rates and inconsistent treatment of peak capacity value. Two proposals under active consideration used loss valuations differing by a factor of three. The commercial stake was therefore not only the energy itself but the credibility of the Client's loss reporting and the integrity of its capital ranking. A defensible loss number was worth more than the megawatt-hours it described.
3. Study Objectives and Scope of Work
- Establish a top-down energy balance for the whole system at monthly and annual resolution, correcting for billing cycle misalignment and unbilled energy, and quantify its uncertainty.
- Build a bottom-up engineering model of technical losses covering every voltage level from the 138 kV delivery points to the customer service entrance, and decompose losses by component and by load-dependent versus no-load classification.
- Reconcile the bottom-up model against the top-down energy balance, and derive the technical and non-technical split as the residual of a validated reconciliation rather than as an assumption.
- Establish loss factors and loss allocations by delivery voltage and rate class suitable for regulatory filing.
- Identify, quantify and rank loss reduction measures on a consistent economic basis, using loss capitalization factors derived specifically for the Client.
- Deliver a repeatable annual loss reporting process, with the data pipeline, model update procedure and documentation required to run it without further consultant involvement.
- Support field validation of implemented measures and reconcile measured savings against predicted savings.
Scope and Deliverables
| Element | In scope | Out of scope |
|---|---|---|
| Voltage levels | 138 kV subtransmission through customer secondary | Generation step-up and bulk 230 kV network |
| Loss types | Technical, all components; non-technical by residual | Field revenue protection investigations |
| Modeling | 168 feeders, 8,760-hour time series, all substations | Feeder protection coordination and reliability |
| Economics | Loss capitalization, NPV, payback, rate class allocation | Full rate case cost-of-service study |
| Deliverables | Report, models, Python pipeline, filing support package | Construction design and material procurement |
Explicitly excluded and documented as such: harmonic loss contributions beyond a screening assessment, transformer stray and eddy loss temperature correction beyond IEEE Std C57.12.90 test conditions, loss effects of conductor operating temperature above the modeled seasonal profile, and any determination of the cause of individual non-technical losses. The residual identified as non-technical was quantified and characterized but not investigated in the field; that work was recommended as a separate engagement. The Client accepted these exclusions in writing at Month 1.
4. Regulatory and Standards Basis
Loss studies sit at the junction of engineering practice and regulatory accounting, and the standards basis reflects that. There is no NERC reliability standard that governs distribution loss performance; the compliance-adjacent obligations are the modeling data requirements of the MOD family for the subtransmission layer, and the transformer efficiency requirements imposed by the U.S. Department of Energy at 10 CFR Part 431 Subpart K, which are mandatory for new distribution transformers and which set the efficiency floor against which the replacement program was evaluated. The predecessor voluntary NEMA TP-1 levels were used only to characterize the installed legacy population. The regulatory driver is the state commission of jurisdiction, before which the Client reports line loss factors and books purchased power. The FERC Uniform System of Accounts and Form 1 reporting conventions determine how the energy balance quantities are booked and therefore how the study's results must be expressed to be reconcilable with filed data. This constrained the study more than any technical standard: the engineering model had to produce numbers in the same units, on the same calendar and on the same accounting boundary as the Client's filings, or it would be useless for its principal purpose. Standards and Regulatory Register
| Reference | Application in this study |
|---|---|
| DOE 10 CFR Part 431 Subpart K | Distribution transformer efficiency floors for replacement units |
| IEEE Std C57.12.00-2021 | Transformer loss definitions, tolerances, rating basis |
| IEEE Std C57.12.90-2021 | Test code for no-load and load loss measurement |
| IEEE Std C57.91-2011 | Loading guide; basis for right-sizing and thermal limits |
| IEEE Std C57.13-2016 | Instrument transformer accuracy classes and burden effects |
| ANSI C12.1 / C12.20 | Revenue meter accuracy classes and test performance |
| ANSI C84.1-2020 | Service voltage ranges; limits on conservation voltage reduction |
| IEEE Std 1547-2018 | DER interconnection basis for the distributed generation cases |
| IEEE Std 141 (Red Book) / 399 (Brown Book) | Load flow and loss calculation practice |
| NERC MOD-032 / MOD-033 | Data provision and model validation for the 138 kV layer |
| FERC Uniform System of Accounts, Form 1 | Accounting boundary and reporting reconciliation |
| NEMA TP-1 | Characterization of the pre-DOE installed transformer population |
5. System Modeling and Data Development
5.1 Data sources and gap closure
The study consumed more effort in data remediation than in analysis, which is normal and was budgeted for. The Client held a modern GIS with full connectivity for most of the system, a CIS containing every billed account, an AMI deployment covering 78 percent of meters at 15-minute resolution, SCADA at every substation bank and feeder head, and settlement-quality metering at the six bulk delivery points. None of these systems agreed with each other. Model Data Sources and Gap Closure
| Data item | Source | Gap closure |
|---|---|---|
| Feeder connectivity and conductor | GIS export, 158,000 sections | Phasing repaired on 11,400 sections against field records |
| Conductor electrical data | GIS code plus internal library | 2,860 unmatched codes resolved by construction standard |
| Islanded sections | GIS topology check | 1,240 orphaned sections reconnected, 18.4 MW load recovered |
| Transformer size and location | GIS versus CIS cross-check | 3,700 size mismatches resolved, CIS treated as authoritative |
| Customer energy by transformer | CIS billing, AMI interval | 4.6 percent unassignable, allocated by connected kVA |
| Feeder head power and current | SCADA historian, 8,760 hours | Gaps under 4 hours interpolated; longer gaps class-shape filled |
| Bulk delivery energy | Settlement meters | Accepted as authoritative reference for energy balance |
| Class load shapes | Load research, 412 sample meters | Nine rate classes, 15-minute resolution, three seasons |
The connectivity repairs mattered enormously. The Client's first-pass model, run before remediation, returned technical losses of 3.9 percent — comfortably below the energy balance and comfortably wrong. The 1,240 orphaned sections carried 18.4 MW of peak load that the model simply did not serve, and the missing phasing caused the solver to distribute single-phase lateral load evenly across three phases, erasing the unbalance that turned out to be one of the study's principal findings. After remediation the model returned 5.1 percent. The difference between those two numbers is the entire value of the data work, and it is the reason a loss study cannot be run directly off an unaudited GIS export.
5.2 Model build and benchmarking
Each of the 168 feeders was built in CYME from the remediated GIS, with distribution transformers represented individually rather than aggregated, secondary and service conductor represented by a calibrated equivalent per transformer, and every regulator, capacitor bank and sectionalizing device represented with its actual control settings as recovered from field records and controller interrogation. The Client's incumbent Milsoft models were retained and run in parallel for 22 feeders as an independent cross-check; agreement on annual feeder losses was within 2.8 percent, and the residual differences traced to secondary representation, where the two tools use different default assumptions. The 138 kV subtransmission layer, the 26 substation banks and the four embedded generators were carried in PSS®E, with the network checks aligned to Keentel’s load flow analysis services, with the distribution system represented at each substation low-side bus as a time-varying load derived from the CYME feeder solutions. The two layers were coupled iteratively: the distribution solution set the substation load, PSS®E set the substation low-side voltage, and the loop was run to convergence for each of a set of representative hours before the full 8,760-hour sweep. Benchmarking used SCADA. Modeled feeder head real power at system peak matched metered values within 2.1 percent across the fleet; modeled per-phase current matched within 3.4 percent; modeled annual energy at the feeder head matched metered within 1.3 percent. Voltage profiles were validated against AMI voltage data at 4,900 service points, with mean absolute deviation of 1.1 V on a 120 V base.
6. Study Methodology and Assumptions
6.1 The two-estimate structure
The method rests on a single principle: an energy balance can measure total loss but cannot decompose it, and an engineering model can decompose loss but cannot measure it. Neither is sufficient alone. Used together, with the engineering model constrained to reproduce the measured total, they yield a decomposition that carries the credibility of a measurement. The top-down energy balance is stated as: energy into the system at all sources, minus billed energy, minus estimated unbilled energy, equals total loss. Every term carries uncertainty. Source energy is the best-measured quantity, from settlement-class metering at the bulk delivery points and revenue metering on the embedded generators, with an assessed uncertainty of ±0.15 percent. Billed energy is precise as an accounting quantity but misaligned in time, since the Client reads meters across 21 cycle groups over 21 business days and each cycle bill spans a different window than the calendar month. Unbilled energy — company use, street lighting, traffic signals, cabinet and equipment loads billed on fixed schedules rather than metered — was the weakest term, estimated from a table last revised decades earlier. The bottom-up model computes technical loss directly from currents, impedances and transformer characteristics for all 8,760 hours of the study year. It cannot see theft, meter under-registration or billing error, and so the difference between the measured total and the modeled technical quantity is, by construction, the non-technical residual plus every modeling error the study failed to catch. That is the honest description of what a non-technical loss figure is, and it is why the reconciliation quality determines how much weight the figure can bear.
6.2 Loss factor, load factor and the 8,760-hour calculation
Load-dependent losses vary with the square of current, so annual energy loss cannot be obtained by multiplying peak loss by hours. The classical approach uses the loss factor, the ratio of average power loss to peak power loss, estimated from the load factor by the widely used empirical relationship: Loss factor = 0.15 × (load factor) + 0.85 × (load factor)² For the Client's system, with an annual load factor of 0.558, this yields a loss factor of 0.348. The 8,760-hour time-series calculation yielded 0.371 — the empirical estimate understated load-dependent energy losses by 6.2 percent system-wide. The approximation was retained as a sanity check only, never as the basis of a result, and the study documented where it fails. It fails on peaky load shapes: on a residential feeder with a load factor of 0.42 the empirical relation gives 0.213 against a computed 0.246, an error of 15 percent. It fails in the opposite direction, though mildly, on flat industrial shapes. It fails badly wherever the load shape is bimodal, wherever significant distributed generation reshapes net load, wherever a feeder is reconfigured seasonally, and wherever regulator and capacitor switching changes the voltage at which a given power is delivered. All four conditions were present somewhere on this system. The 8,760-hour calculation removes the need to assume any of it away.
6.3 Load allocation
Energy must be assigned to each of 70,400 distribution transformers before the model can compute anything. Two methods were used and compared. Allocation by connected kVA distributes feeder energy in proportion to transformer nameplate, which is simple, requires no billing data, and is systematically wrong wherever transformers are oversized — which on this system was almost everywhere. Allocation by billed kWh assigns each customer's metered consumption to the transformer serving it, shaped by the class load curve for that customer's rate class, and is correct wherever the customer-to-transformer linkage is correct. Billed-kWh allocation was used as primary, with connected-kVA allocation as fallback for the 4.6 percent of energy that could not be linked. For the 78 percent of meters with AMI, actual interval data replaced the class shape entirely, which removes the coincidence assumptions that dominate uncertainty in traditional load research. The two allocation methods differed by up to ±0.8 percentage points on individual feeders and by ±0.1 percentage points system-wide — a useful demonstration that allocation method matters greatly for ranking feeders and hardly at all for the system total.
6.4 Loss capitalization: the A-factor and B-factor method
Every economic comparison in the study used a single pair of loss capitalization factors derived for this Client, so that no two projects could be justified on different energy prices. The A-factor is the present value of one kilowatt of no-load loss, which runs continuously for the equipment life. The B-factor is the present value of one kilowatt of load loss at rated load, which runs at a duty determined by the loss factor and the equipment's peak loading ratio. A-factor derivation: 1 kW continuous consumes 8.76 MWh per year, valued at a levelized $48 per MWh over a 30-year life at 7 percent real, plus a levelized capacity value of $95 per kW-year, giving $515 per year and a present value of $6,400 per kW using an annuity factor of 12.409. B-factor derivation: 1 kW of rated load loss on a unit peaking at 65 percent of nameplate produces 0.4225 kW at peak; at a transformer loss factor of 0.30 this is $221 per kW-at-peak per year, giving $93 per year per kW of rated load loss and a present value of $1,160 per kW. The corresponding value per kW of actual loss at peak is $2,744. Total owning cost is then purchase price plus A × no-load loss plus B × load loss. The ratio A/B of 5.5 is typical and expresses the essential asymmetry of the problem: a watt of core loss is worth roughly five and a half times a watt of winding loss, because it never stops.
6.5 Cases and acceptance criteria
Case and Scenario Matrix
| Case | Description | Purpose |
|---|---|---|
| C-1 | As-found 8,760-hour time series, pre-remediation data | Demonstrate data quality effect |
| C-2 | As-found 8,760-hour time series, remediated data | Base case for all results |
| C-3 | System peak hour and system minimum hour snapshots | Peak loss and fixed loss verification |
| C-4 | Each of nine mitigation measures applied individually | Measure-level savings and interaction |
| C-5 | Combined recommended program | Program totals and residual loss profile |
| C-6 | DER penetration at 61, 120 and 180 MW | Distributed generation sensitivity |
| C-7 | Load growth at 0.0, 0.9 and 2.0 percent per year to Year 10 | Economic horizon sensitivity |
| C-8 | Loss factor approximation versus 8,760-hour | Method sensitivity |
| C-9 | Connected-kVA versus billed-kWh allocation | Allocation sensitivity |
| C-10 | Energy price at $28, $38 and $52 per MWh | Economic sensitivity |
Acceptance Criteria
| Criterion | Target | Achieved |
|---|---|---|
| Bottom-up to top-down, mean absolute monthly deviation | ≤ 0.5 percentage points | 0.3 percentage points |
| Bottom-up to top-down, annual | ≤ 0.3 percentage points | 0.1 percentage points |
| Substation-level modeled versus metered loss | ≤ 0.5 percentage points | 0.3 percentage points, worst case |
| Modeled feeder peak real power versus SCADA | ≤ 3 percent | 2.1 percent |
| Modeled feeder per-phase current versus SCADA | ≤ 5 percent | 3.4 percent |
| Modeled annual feeder energy versus metered | ≤ 2 percent | 1.3 percent |
| Modeled service voltage versus AMI | ≤ 1.5 V on 120 V base | 1.1 V mean absolute |
7. Analysis and Results
7.1 The top-down energy balance
Annual energy into the system totaled 3,420,000 MWh. Billed energy totaled 3,175,440 MWh. Estimated unbilled energy totaled 12,000 MWh. Total loss was therefore 232,560 MWh, or 6.80 percent of input. The monthly series was initially uninterpretable. Reported monthly losses swung between 4.9 percent and 8.7 percent with no physical explanation — a swing of ±1.9 percentage points that no combination of temperature, load and configuration could produce. The cause was billing cycle misalignment. Source energy is measured on the calendar month; billed energy is accumulated across 21 cycle groups whose read windows straddle month boundaries. A month containing a read-date shift, a holiday, or an estimated-read batch accumulates a different number of customer-days than the calendar month contains, and the difference appears entirely in the loss line. The Python framework calendarized the billing data by prorating each cycle bill across the calendar days it spanned, using AMI interval data where available and the applicable class shape where not. The residual monthly variation after calendarization was ±0.4 percentage points, and it tracked temperature and load in the direction physics predicts. This correction did not change the annual number by more than 0.02 percentage points. It changed the study's ability to use monthly data at all, and it is the reason the Client's previous internal attempts to track losses month to month had produced nothing but noise.
7.2 Loss taxonomy and decomposition
Losses were classified first as technical or non-technical, then within technical as load-dependent (series, variable, I²R) or no-load (shunt, fixed). Load-dependent losses arise from current flowing through series impedance and vary with the square of that current. No-load losses arise from magnetizing and dielectric phenomena and are, to first order, present whenever the equipment is energized regardless of load. Technical Loss Decomposition (percent of annual energy input)
| Component | Classification | Percent | MWh/yr |
|---|---|---|---|
| Distribution transformer no-load (core) loss | No-load | 1.40 | 47,880 |
| Primary conductor loss, 12.47 kV and 4.16 kV | Load-dependent | 1.52 | 51,984 |
| Distribution transformer load (winding) loss | Load-dependent | 0.58 | 19,836 |
| 138 kV subtransmission line loss | Load-dependent | 0.42 | 14,364 |
| Substation power transformer load loss | Load-dependent | 0.36 | 12,312 |
| Secondary and service drop conductor loss | Load-dependent | 0.28 | 9,576 |
| Substation power transformer no-load loss | No-load | 0.22 | 7,524 |
| Voltage regulator and capacitor bank loss | No-load | 0.13 | 4,446 |
| Station auxiliaries and station service | No-load | 0.11 | 3,762 |
| Metering, instrument transformer and leakage loss | No-load | 0.08 | 2,736 |
| Total technical loss | — | 5.10 | 174,420 |
Load-dependent components total 3.16 percent, or 108,072 MWh, which is 62.0 percent of technical loss. No-load components total 1.94 percent, or 66,348 MWh, which is 38.0 percent. Non-technical loss is the residual 1.70 percent, or 58,140 MWh, giving the 6.80 percent total. Two features of this decomposition drove everything that followed. First, distribution transformer no-load loss is the largest single line item in the system, larger than every substation transformer's total loss combined and larger than the entire 138 kV network. This is a common finding and it is arithmetic, not pathology: no individual 25 kVA transformer wastes much, but 70,400 of them energized 8,760 hours a year is 5.47 MW of continuous draw. Second, the no-load share of 38 percent is high enough that a program targeting only conductor losses would have left more than a third of the technical loss untouched. The non-technical residual was characterized, though not investigated: approximately 0.55 percentage points attributable to systematic meter under-registration, 0.60 to diversion and unauthorized use, 0.35 to unmetered and inadequately estimated load, and 0.20 to residual billing estimation error.
7.3 Load unbalance
Load unbalance was the study's largest surprise. In a balanced three-phase four-wire system the neutral carries no current and contributes no loss. In an unbalanced system the neutral and earth return path carries the vector sum of the phase currents, and that current produces loss in a conductor typically smaller than the phase conductors and in the earth return, on top of the increased loss in the heavily loaded phases. Because loss varies with the square of current, the penalty is not proportional to the unbalance — it is quadratic, and it accrues even when total feeder load is unchanged. Current unbalance, expressed as maximum phase deviation from the average, ranged from 3 percent to 41 percent across the fleet with a fleet average of 22 percent. On the worst 20 feeders the unbalance-attributable loss term, including the neutral component, accounted for between 0.6 and 2.9 percent of feeder energy — that is, on the worst feeder, unbalance alone was costing more than the entire technical loss target for the system. The causes were mundane and cumulative. Single-phase laterals had been added to whichever phase was convenient at the time of construction. Transformer change-outs had been re-phased for crew convenience. Load had grown unevenly along feeders originally balanced at construction. No process existed to detect drift, because feeder head SCADA reported total current and the per-phase values were not trended.
7.4 Power factor and reactive flow
Reactive current produces the same I²R loss as real current and delivers no energy. System power factor at the substation buses at peak was 0.94 lagging as found, and the reactive component of current accounted for 11.3 percent of load-dependent losses. The capacitor fleet was substantially non-functional: interrogation and field inspection of all 386 pole-mounted banks found 118 not operating as designed — 24 stuck open, 61 stuck closed, and 33 with one or more failed capacitor units producing an unbalanced and reduced output. The 61 stuck-closed banks were the more insidious problem, because they leave the feeder overcompensated at light load, producing leading power factor, raised voltage and reactive current flowing back toward the substation, which is loss with the sign of the reactive flow reversed but the magnitude undiminished.
7.5 Distribution transformer population
The transformer population was analyzed unit by unit against CIS load data. Median peak loading was 22 percent of nameplate. Thirty-one percent of units predated both the DOE efficiency standards and the voluntary NEMA TP-1 levels that preceded them; their no-load losses run typically 40 to 70 percent above a current-compliant unit of the same rating. Approximately 19 percent of units were oversized to the degree that a unit one or two standard sizes smaller would carry the measured peak with adequate margin under IEEE Std C57.91 loading criteria. Right-sizing is counterintuitive and worth stating precisely. Moving a load from an oversized transformer to a smaller one reduces no-load loss substantially and increases load loss, because the load loss at a given kVA rises as the square of the loading ratio. For a representative case — an 11 kVA peak load on a legacy 50 kVA unit with 145 W no-load and 620 W rated load loss, moved to a compliant 25 kVA unit with 68 W no-load and 360 W rated load loss — no-load loss falls by 77 W while load loss at peak rises by 40 W. Applying the A and B factors gives a present value benefit of $493 against a present value penalty of $109, a net $384 per unit. Across the recommended program the average net present value was $500 per unit, and the average net energy saving 861 kWh per unit per year.
7.6 Subtransmission and substation losses
The 138 kV layer, modeled in PSS®E, contributed 0.42 percent of system energy in line losses and a further 0.58 percent across substation transformers, split 0.36 load and 0.22 no-load. Two substations were found operating both banks in parallel year-round at an aggregate loading of 18 percent of firm capacity, a configuration adopted for reliability but never re-examined. Parallel operation of two lightly loaded banks doubles no-load loss while reducing load loss by half, and at 18 percent loading the no-load term dominates by a wide margin. Seasonal single-bank operation at six substations, with automatic transfer retained for contingency, recovers 0.21 MW of continuous loss with no reduction in firm capacity and no change in N-1 performance. Substation transformer replacement economics were evaluated using the A and B factors. A representative comparison of three bids for a 25 MVA 138/12.47 kV replacement unit illustrates the method: Substation Transformer Total Owning Cost Comparison
| Bid | Purchase price | No-load / load loss | Evaluated loss cost | Total owning cost |
|---|---|---|---|---|
| A | $1,120,000 | 24.0 kW / 118 kW | $290,480 | $1,410,480 |
| B | $1,255,000 | 11.0 kW / 78 kW | $160,880 | $1,415,880 |
| C | $1,196,000 | 13.5 kW / 88 kW | $188,480 | $1,384,480 |
Bid C carries neither the lowest first cost nor the lowest losses, and wins on total owning cost by $26,000 over the cheapest unit. The margins among modern units are narrow, which is the market working as intended. The method earns its keep elsewhere: applied to the question of whether to continue operating a legacy pre-standard bank against replacing it, the evaluated loss differential is large enough to move the answer.
7.7 Distributed generation
Distributed generation reduces losses when it displaces current that would otherwise flow from the substation through feeder impedance, and increases them when it produces reverse flow large enough that the net current exceeds what the load alone would have drawn. The transition point depends on penetration, location along the feeder, and the coincidence of generation with load. At the as-found 61 MW of behind-the-meter photovoltaic, distributed generation reduced system technical losses by approximately 3,100 MWh per year on net. The benefit was concentrated on feeders with dispersed rooftop systems and daytime-peaking commercial load. At the modeled 120 MW penetration the net benefit fell to 1,800 MWh as reverse flow began on lightly loaded residential feeders in spring shoulder months. At 180 MW with the clustered siting pattern the Client's interconnection queue implied, six feeders turned net adverse, adding 1,900 MWh per year and eroding the system benefit to approximately 400 MWh. The engineering conclusion is that distributed generation is not a loss reduction measure and should not be counted as one in a capital plan; it is a loss modifier whose sign depends on conditions the utility does not control.
7.8 Worst-feeder deep dive
Feeder 142, a 12.47 kV circuit with 14.6 miles of three-phase main on 1/0 ACSR serving a mixed rural and small-commercial load with a 9.8 MVA peak, was the worst performer at 9.2 percent annual losses against 40,200 MWh of feeder energy input — 3,698 MWh lost. Decomposition attributed 2.4 percentage points to undersized main conductor at high loading, 2.1 to current unbalance running at 34 percent, 1.1 to reactive flow at 0.91 power factor, 1.9 to distribution transformer losses at above-average density, and the remainder to secondary and service. The remediation sequence was deliberate and cheap first. Phase balancing of 34 laterals and 61 transformer connections cut unbalance from 34 percent to 8 percent. Two switched capacitor banks corrected power factor to 0.98. Transfer of 2.1 MVA of load to an adjacent feeder through an existing tie relieved the first 4 miles of main. Together these took the feeder to 5.5 percent at a cost of $186,000. Reconductoring 4.2 miles of main from 1/0 ACSR to 477 kcmil AAC then took it to 4.1 percent for a further $840,000. Total saving 2,050 MWh per year.
7.9 Loss allocation by delivery voltage
Losses were allocated to service levels for the regulatory filing. A customer served at secondary voltage bears the losses of every element between the delivery point and the service entrance; a customer metered at 138 kV bears almost none. Average Loss Factors by Delivery Voltage (percent of delivered energy)
| Service level | Average loss factor | Marginal loss factor |
|---|---|---|
| Residential secondary | 7.4 | 13.6 |
| Small commercial secondary | 6.6 | 12.1 |
| Large commercial, primary metered | 3.9 | 7.2 |
| Industrial, 12.47 kV primary dedicated | 2.8 | 5.1 |
| Subtransmission, 138 kV metered | 1.6 | 2.9 |
The load-weighted average of these factors is 5.37 percent on a delivered-energy basis, which is identical to 5.10 percent expressed on an input-energy basis — the arithmetic identity 5.10 / (100 − 5.10) = 5.37 confirms the allocation conserves energy and does not create or destroy loss in the allocation step. This check was performed at every allocation stage. Marginal loss factors approximate twice the average for the load-dependent portion, which follows directly from the quadratic loss relationship, and were computed rather than assumed.
7.10 Reconciliation: the validation test
The reconciliation is the study's load-bearing element. Two independent estimates were compared monthly over 24 months and annually. Bottom-Up to Top-Down Reconciliation
| Comparison | Top-down | Bottom-up | Deviation |
|---|---|---|---|
| Annual total loss, percent of input | 6.80 | 6.90 | 0.10 pp |
| Monthly, mean absolute deviation | — | — | 0.30 pp |
| Monthly, worst single month | — | — | 0.90 pp |
| 14 SCADA-metered substations, aggregate | 5.60 | 5.50 | 0.10 pp |
| 14 SCADA-metered substations, worst individual | 8.60 | 8.30 | 0.30 pp |
The bottom-up figure combines the modeled technical loss of 5.10 percent with the independently characterized non-technical estimate of 1.80 percent developed from meter test records, unmetered load audit and diversion case history. That estimate was subsequently refined to 1.70 percent to close the annual balance — the only place in the study where a figure was fitted rather than computed, and it is identified as such in the report so that any reader can see exactly which number carries the accumulated uncertainty of every other. The fourteen substations with revenue-quality metering on both the high side and all feeder heads allowed a closed balance at a scale small enough to be meaningful and large enough to be statistically useful. Agreement within 0.3 percentage points at the worst individual substation, on a population spanning 4.4 percent urban losses to 8.6 percent legacy 4.16 kV losses, is the strongest evidence the study produced that the model represents reality.
8. Sensitivity and Scenario Analysis
Sensitivity Results
| Variable | Range tested | Effect on program NPV or ranking |
|---|---|---|
| Real discount rate | 5.0 / 7.0 / 9.0 percent | NPV $16.0M / $10.4M / $6.3M; ranking unchanged |
| Levelized energy price | $28 / $38 / $52 per MWh | Payback 7.9 / 6.4 / 5.1 years; ranking unchanged |
| Load growth | 0.0 / 0.9 / 2.0 percent per year | NPV $8.1M / $10.4M / $14.2M; reconductoring rises |
| Loss factor method | Empirical versus 8,760-hour | Empirical understates by 6.2 percent system, 15 percent worst feeder |
| Load allocation | Connected kVA versus billed kWh | ±0.8 pp per feeder; ±0.1 pp system; feeder ranking shifts |
| DER penetration | 61 / 120 / 180 MW | Net loss benefit 3,100 / 1,800 / 400 MWh per year |
| Non-technical estimate | ±0.4 pp | No effect on technical program; material to filing |
Three conclusions came out of the sensitivity work. First, the recommended program is robust: the measure ranking by benefit-cost ratio does not change across any tested discount rate or energy price, and only load growth reorders it, promoting reconductoring relative to fixed-loss measures because conductor loss grows quadratically with load while core loss does not grow at all. Second, the loss factor method choice matters most exactly where the decisions are hardest — the peaky, poorly performing feeders where the empirical relation is least accurate and where the capital is proposed. Third, the non-technical estimate, which carries the most uncertainty of any number in the study, has no bearing whatever on the engineering program. That separation is deliberate: it means an unresolved argument about theft cannot delay a defensible capital decision.
9. Findings and Root Cause Assessment
Findings Register
| ID | Finding | Severity | Root cause |
|---|---|---|---|
| F-1 | Distribution transformer no-load loss is 1.4 percent of input | High | Aged population, 31 percent pre-standard; median loading 22 percent |
| F-2 | Reported loss drift of 0.9 pp over five years | High | 0.4 pp non-technical, 0.3 pp load growth, 0.2 pp billing artifact |
| F-3 | Fleet average current unbalance of 22 percent | High | No per-phase trending; construction and change-out practice |
| F-4 | Nine 4.16 kV circuits carry 3.1 percent of energy, 8.4 percent of loss | High | Deferred voltage conversion on legacy circuits |
| F-5 | 118 of 386 capacitor banks not operating as designed | Medium | No control verification program; failed units undetected |
| F-6 | Model data quality understated losses by 1.2 pp on first pass | High | GIS connectivity gaps, phasing errors, CIS-GIS mismatch |
| F-7 | Instrument transformer error at low load on 23 installations | Medium | Legacy 0.6-class CTs operating below 10 percent of rating |
| F-8 | Monthly reported losses swing ±1.9 pp with no physical cause | Medium | Billing cycle misalignment; no calendarization |
| F-9 | Two substations run both banks in parallel at 18 percent loading | Medium | Reliability configuration never re-evaluated for loss |
| F-10 | Unmetered load estimated from a decades-old fixed table | Low | No revision process; 0.35 pp of energy affected |
Finding F-2 deserves expansion, because it was the question that triggered the engagement. The 0.9 percentage point drift decomposes into three parts. Roughly 0.4 points is genuine growth in non-technical loss, consistent with the Client's own diversion case volume and with the aging of its instrument transformer population. Roughly 0.3 points is technical, and it is the predictable consequence of load growth on feeders that had not been reinforced: because loss grows with the square of current, a 12 percent load increase on an unchanged feeder raises its losses by 25 percent. Roughly 0.2 points is not a loss at all but a reporting artifact, arising from a change in billing cycle structure that shifted the average lag between energy delivery and energy billing. Finding F-7 concerns measurement, not loss. Current transformers of 0.6 accuracy class meet their rating over a defined current range and degrade outside it; below roughly 10 percent of rated primary current, ratio and phase-angle errors of 1.5 to 3 percent are ordinary. Twenty-three installations — 14 substation and 9 large-customer — were operating routinely below that threshold because the CTs had been sized for a load that never materialized or that had since declined. The energy is delivered; it is simply not counted. This appears in the energy balance as non-technical loss and is corrected by re-ratioing the CTs, not by any change to the network.
10. Mitigation Options and Recommendations
Nine measures were carried to full evaluation. Each was modeled individually in the 8,760-hour case, then in combination, so that interaction effects were captured rather than assumed additive. The savings tabulated below are the in-combination values, which total 3.1 percent less than the arithmetic sum of the same measures modeled standalone, because phase balancing and capacitor correction both reduce the current that reconductoring would otherwise have to carry. Loss Reduction Options Compared
| Measure | Capital | Annual MWh / peak MW | PV of avoided loss | Payback |
|---|---|---|---|---|
| Reconductor 6 worst feeders, 1/0 ACSR to 477 kcmil | $4,100,000 | 7,900 / 2.42 | $5.74M | 8.9 yr |
| Feeder reconfiguration and load transfer, 12 feeders | $380,000 | 3,150 / 0.97 | $1.30M | 2.1 yr |
| Phase balancing, 240 lateral and transformer moves | $620,000 | 4,300 / 1.32 | $2.29M | 2.5 yr |
| Voltage conversion 4.16 kV to 12.47 kV, 9 circuits | $5,120,000 | 6,400 / 1.83 | $4.54M | 14.0 yr |
| Capacitor additions and volt-var optimization | $1,450,000 | 4,600 / 1.42 | $2.86M | 5.4 yr |
| Conservation voltage reduction, 42 feeders | $980,000 | 1,050 / 0.22 | $0.50M | 17.9 yr |
| Distribution transformer replacement and right-sizing | $1,320,000 | 9,900 / 1.30 | $5.75M | 2.8 yr |
| Substation transformer replacement, evaluated by TOC | $260,000 | 1,900 / 0.31 | $1.15M | 2.8 yr |
| Seasonal single-bank operation, 6 substations | $110,000 | 1,840 / 0.21 | $0.59M | 1.3 yr |
| Program total | $14,340,000 | 41,040 / 10.00 | $24.72M | 6.4 yr |
The peak megawatt figures are measure-level and non-coincident. Applying the measured coincidence factor of 0.86 between measure-level peak loss reduction and system peak gives 8.6 MW of coincident peak reduction, which is the quantity used for capacity valuation throughout. Failing to make this distinction is one of the most common errors in loss economics and typically overstates capacity benefit by 10 to 20 percent. Two measures require honest qualification. Voltage conversion returns a 14.0-year simple payback and a present value below its capital cost on loss benefit alone. It was retained in the recommended program because the nine 4.16 kV circuits are approaching end of asset life independently, because conversion relieves a capacity constraint at two substations that would otherwise require separate investment, and because those benefits are real but were not monetized in this table. Presented on loss economics alone, the measure does not stand up, and the study says so. Conservation voltage reduction returns a 17.9-year payback on loss benefit, and on that basis alone would be rejected. Its actual justification lies elsewhere. CVR reduces customer consumption on voltage-sensitive load; at a measured CVR factor of 0.72 and an average voltage reduction of 2.4 percent across the 42 candidate feeders carrying 1,180,000 MWh, it delivers approximately 20,400 MWh per year of consumption reduction. That quantity is deliberately excluded from the 41,040 MWh loss saving, because consumption reduction and loss reduction are different things and adding them is double counting of the worst kind. The measure was recommended, with its economics presented separately and correctly labeled. The recommendation was to execute all nine measures over a six-year program, sequenced by benefit-cost ratio: the fast-payback operational measures in Phase 1 (Months 12 to 24), the transformer programs continuously from Month 12, and the capital-intensive reconductoring and voltage conversion in Phase 2 from Month 30 onward as budget allowed. Sequencing cheap measures first is not only financially sensible but technically necessary: balancing and capacitor correction change the currents against which reconductoring is sized, and doing them in the reverse order would have oversized the conductor.
11. Implementation Support and Field Validation
Phase 1 was executed between Month 12 and Month 24 and comprised capacitor control repair and replacement across all 118 defective banks, phase balancing at 240 locations, feeder reconfiguration on 12 feeders, and conversion of six substations to seasonal single-bank operation. Keentel supplied the work packages, the switching order sequences, the per-location phasing instructions and the acceptance test criteria, and updated the models as work was completed. Six feeders were instrumented for validation with permanent per-phase power quality monitoring at the feeder head and additional monitoring at two mid-feeder locations, recording for three months before and twelve months after the work. Measured savings were normalized to the pre-work load level and weather using the same 8,760-hour framework, so that the comparison is of loss at equivalent load rather than of raw energy. Field Validation: Predicted Versus Measured
| Feeder | Predicted MWh/yr | Measured MWh/yr | Deviation |
|---|---|---|---|
| Feeder 142 (worst feeder, Phase 1 only) | 1,490 | 1,430 | −4.0 percent |
| Feeder 118 | 640 | 690 | +7.8 percent |
| Feeder 097 | 410 | 375 | −8.5 percent |
| Feeder 063 | 520 | 545 | +4.8 percent |
| Feeder 155 | 300 | 285 | −5.0 percent |
| Feeder 021 | 470 | 500 | +6.4 percent |
| Aggregate | 3,830 | 3,825 | −0.1 percent |
Individual feeder deviations of up to 8.5 percent are larger than the aggregate deviation of 0.1 percent, and this is the expected behavior of a model calibrated on population statistics. Per-feeder error is dominated by the secondary and service equivalent, which is the least directly observable element of the model; that error is close to random across feeders and cancels in aggregate. The study documented this explicitly so that no reader would take a per-feeder prediction as carrying the same confidence as a system-level one. The measured aggregate result also confirmed the loss factor treatment. Had the empirical loss factor approximation been used instead of the 8,760-hour calculation, predicted savings on these six feeders would have been 3,570 MWh against a measured 3,825, an understatement of 6.7 percent consistent with the system-wide 6.2 percent gap identified in Section 6.2.
12. Results and Value Delivered
Outcomes Scorecard
| Metric | Before | After program |
|---|---|---|
| Technical losses, percent of energy input | 5.10 | 3.90 |
| Total reported losses, percent of energy input | 6.80 | 5.60 |
| Total losses including metering remediation | 6.80 | 5.30 |
| Annual loss energy | 232,560 MWh | 191,520 MWh |
| Technical loss at system peak | 40.9 MW | 32.3 MW |
| Worst feeder annual loss | 9.2 percent | 4.1 percent |
| Fleet average current unbalance | 22 percent | 9 percent |
| Capacitor banks operating as designed | 268 of 386 | 386 of 386 |
| Program net present value at 7 percent real | — | $10.4M |
| Program benefit-cost ratio | — | 1.72 |
| Annual CO2 avoided | — | 17,200 metric tons |
Beyond the numbers, four deliverables carried value the table does not capture. The reconciled loss model became the Client's evidentiary basis for its line loss factors, and the filing support package — methodology narrative, data lineage, allocation derivation and sensitivity record — was constructed so that every number in the filing can be traced to a source measurement. The prioritized capital program replaced nine competing project proposals with a single ranked list built on one set of economic assumptions. The A and B factors were adopted as the Client's standard transformer purchasing evaluation, applied to every subsequent procurement. And the Python reconciliation pipeline was handed over with documentation and training, so that the annual loss report is now produced internally in approximately three staff-weeks rather than being reconstructed from scratch each time it is demanded. The CO2 figure uses a marginal emission rate of 0.42 metric tons per MWh applied to the 41,040 MWh of avoided loss energy. Over the 30-year evaluation horizon this is approximately 516,000 metric tons. The consumption reduction from conservation voltage reduction would add a further 8,570 metric tons per year and is again reported separately rather than combined.
13. Lessons Learned and Engineering Insights
Data quality is the study. The difference between a 3.9 percent and a 5.1 percent modeled loss on the same system was entirely data remediation — connectivity, phasing, conductor coding and transformer records. Any loss study quoted without an explicit data remediation phase should be treated as an estimate of the GIS, not of the network. A useful diagnostic is that an unremediated model almost always understates loss, because missing connectivity removes load and missing phasing removes unbalance, and both errors point the same way. The cheap measures are the good measures, and they are the ones nobody does. Phase balancing, capacitor control repair and feeder reconfiguration together cost $2.45 million of the $14.34 million program and deliver 12,050 MWh of the 41,040 MWh saving — 17 percent of the capital for 29 percent of the benefit. They are unglamorous, they generate no asset, and they are consistently deferred in favor of visible construction. A loss study's most reliable contribution is to make the economics of the unglamorous work explicit enough to survive a budget review. No-load loss is invisible and enormous. Distribution transformer core loss does not show up on any feeder loading report, does not vary with load, and is not attributable to any single asset large enough to attract attention. It was nonetheless the largest single component in this system. Utilities systematically underweight it because their planning processes are organized around peak loading, and no-load loss is precisely the quantity that peak loading does not reveal. Separate the arguments you can win from the arguments you cannot. The non-technical loss figure is the most contestable number in any loss study, and if the technical program depends on it the program becomes hostage to that argument. Structuring the study so the engineering conclusions are independent of the non-technical residual was a deliberate choice, and it allowed the capital program to proceed while the revenue protection question remained open. Calendarize before you conclude anything from a monthly series. The Client had spent years trying to interpret month-to-month loss variation that was almost entirely a billing-cycle artifact. A one-time prorating correction, costing a few days of work, turned an uninterpretable series into a usable one and would have saved considerable prior effort had it been done first. Predict at the level you validated at. The model reproduced aggregate savings within 0.1 percent and individual feeder savings only within 8.5 percent. Both are legitimate results of the same model, and communicating the difference clearly is part of the deliverable. A client who is allowed to believe that a per-feeder prediction carries system-level confidence will eventually be disappointed by a correct model.
14. Keentel Capability Summary
- System-wide technical loss studies across transmission, subtransmission, primary and secondary distribution
- Top-down energy balance construction, billing calendarization and unbilled energy assessment
- Bottom-up 8,760-hour time-series loss modeling in CYME and Milsoft, with PSS®E for the transmission and subtransmission layer
- GIS and CIS data quality assessment, connectivity and phasing remediation, and model-to-field benchmarking
- Load research design, class load shape development and AMI interval data integration
- Loss allocation by delivery voltage and rate class, average and marginal loss factor derivation
- Loss capitalization factor development (A-factor and B-factor) and transformer total owning cost evaluation
- Distribution transformer fleet analysis, right-sizing assessment and DOE efficiency compliance evaluation
- Phase balancing, feeder reconfiguration, capacitor placement and volt-var optimization studies
- Conservation voltage reduction assessment and CVR factor measurement
- Distributed generation loss impact assessment across penetration and siting scenarios
- Economic ranking of loss reduction programs, NPV and benefit-cost analysis, and sensitivity assessment
- Regulatory filing support packages, methodology documentation and data lineage
- Python-based reconciliation and reporting frameworks delivered for client self-service
- Field instrumentation planning, measurement and verification of realized savings
15. Frequently Asked Questions
Because an energy balance tells you the size of the problem and nothing about its shape. It cannot distinguish a watt lost in a transformer core from a watt lost to diversion, and those two watts require entirely different responses. More practically, an energy balance cannot be acted on: you cannot rank capital projects, set loss factors by rate class, or evaluate a transformer purchase from a single system-level percentage. The engineering model supplies the decomposition. The energy balance supplies the check that the decomposition is honest. Neither is sufficient alone, and a study that produces one without the other should be viewed with suspicion. In this engagement the two estimates started 1.2 percentage points apart, and closing that gap forced the discovery of the data quality problems that turned out to matter most.
As a screening tool and a sanity check, yes. As the basis of a capital decision, no. The relationship is an empirical curve fit to a population of load shapes that may or may not resemble yours, and it has no physical derivation. On this system it understated load-dependent energy losses by 6.2 percent overall and by 15 percent on the peaky residential feeders where the capital was actually proposed — that is, it was least accurate exactly where accuracy mattered most. If you have interval data at the feeder head, and almost every utility now does, there is no defensible reason to use an approximation instead of computing the loss factor directly from 8,760 hourly solutions. We still compute the empirical value and report it, because a large divergence between the two is a useful indicator that something unusual is happening to the load shape.
We do not claim to know them. We claim to have bounded them. The non-technical figure is a residual: measured total loss minus modeled technical loss. Its accuracy is therefore limited by the accuracy of both other quantities, and every modeling error the study failed to catch lands in it. What makes the residual credible rather than arbitrary is the reconciliation evidence — agreement within 0.3 percentage points at fourteen independently metered substations spanning a wide range of loss performance. That evidence constrains how wrong the technical model can be, and therefore how wrong the residual can be. We also characterized the residual against independent indicators: meter test failure rates, instrument transformer loading, unmetered load audit and diversion case history. Characterization is not measurement, and the report says so plainly.
Because it runs five and a half times longer, in effect. No-load loss is present every hour the unit is energized — 8,760 hours a year, at full magnitude, regardless of whether the transformer is serving any load. Load loss varies with the square of loading, so a unit peaking at 65 percent of nameplate with a loss factor of 0.30 produces the equivalent of only about 1,110 full-load-loss hours per year. Multiply that duty ratio by the same energy and capacity prices and you get the A-to-B ratio, which came out at 5.5 for this Client. The ratio is not universal — it moves with load factor, peak loading and the relative value of energy versus capacity — which is exactly why the factors should be derived for your system rather than borrowed.
The minimum set is a GIS export with connectivity, conductor and transformer attributes; CIS billing at the account level with the account-to-transformer linkage; AMI interval data if you have it; SCADA feeder head and substation bank histories for the study year; wholesale settlement meter data for all sources; and your unbilled and company-use estimating basis. Load research data if it exists. A typical system of this size runs eleven months: roughly three on data acquisition and remediation, three on model build and benchmarking, three on analysis and economics, and two on reporting and filing support. The data remediation phase is the one that varies most and the one most often underestimated. If your GIS connectivity is clean and your CIS-to-transformer linkage is above 95 percent, the schedule compresses considerably.
Usually not directly, and this is worth being blunt about. Planning models are built and maintained for peak-load voltage and loading checks, and they are entirely fit for that purpose. A loss study asks different questions of the same model: it needs correct phasing because unbalance drives loss quadratically, correct connectivity because missing sections silently delete load, correct conductor coding because resistance is the whole point, and correct transformer sizes because no-load loss scales with them. None of those errors necessarily degrade a peak-load voltage check, so they survive for years unnoticed. We start from the Client's models — it would be wasteful not to — but we audit them against the criteria a loss study requires, and we report what we found.
It depends on penetration and location, and the answer changes over time, which is why we model it as a scenario rather than an input. At low penetration with dispersed siting, generation displaces current that would otherwise flow the length of the feeder, and losses fall. As penetration rises, reverse flow begins in light-load hours, and beyond the point where net reverse current exceeds what load alone would have drawn, losses rise again. On this system the net benefit was about 3,100 MWh per year at 61 MW, falling to roughly 400 MWh at 180 MW under the clustered siting pattern the interconnection queue implied. The practical guidance is not to book distributed generation as a loss reduction measure in a capital plan, because the utility does not control the variables that determine its sign.
By reporting them separately and refusing to add them. CVR primarily reduces customer consumption on voltage-sensitive load; its effect on network losses is small and can even be adverse, because constant-power load draws more current at reduced voltage. In this study CVR contributed 1,050 MWh of genuine loss reduction and approximately 20,400 MWh of consumption reduction, and only the first figure appears in the 41,040 MWh program total. This makes CVR look poor on loss economics, with a 17.9-year payback, and we present it that way because it is true. The measure was still recommended, justified on the consumption benefit, which is a real benefit accruing to a different account. Combining the two would have inflated the loss program's apparent performance and undermined the filing.
That was the design constraint, not an afterthought. Three things make a loss study defensible before a commission. First, the results must be traceable: every number in the filing must connect through a documented chain to a source measurement, and we deliver the data lineage as a deliverable rather than a narrative. Second, the allocation must conserve energy — the loss factors assigned to rate classes must reconcile to the system total, and we check this identity at every allocation step and show the check. Third, the uncertainty must be stated, including which figure carries the accumulated residual, because an intervenor will find it and it is far better that you named it first. The reconciliation evidence at the substation level is what converts the study from an assertion into a demonstration.
Rarely the first answer, and on this system it was the last. Feeder 142 was at 9.2 percent, and decomposition showed 2.1 points from current unbalance and 1.1 points from poor power factor before any conductor question arose. Phase balancing, two capacitor banks and a load transfer through an existing tie took it to 5.5 percent for $186,000. Only then was reconductoring evaluated, and it was sized against the reduced currents the cheap measures had already produced. Reconductoring first would have cost the same $840,000, delivered less, and locked in an oversized conductor. The general rule is to fix current magnitude and current distribution before you change impedance, because the cheap measures change the design basis of the expensive one.
The program was scoped deliberately at achievable rather than optimal. A theoretical optimum on this system — perfectly balanced feeders, every transformer right-sized, full volt-var optimization, all legacy voltage converted — would take technical losses to roughly 3.2 percent, but it requires touching essentially every asset and it prices out at several times the recommended program with paybacks well past useful asset life. The recommended target of 3.9 percent represents the measures that clear a benefit-cost ratio above 1.0 at the Client's own discount rate with realistic execution rates. Field validation of the first phase came in within 0.1 percent of prediction in aggregate, which supports the achievability claim for the measures actually executed. We do not present the theoretical optimum as a target, only as a bound.
Slowly, and not fast enough to ignore. Every new distribution transformer purchased must meet the applicable efficiency levels at 10 CFR Part 431 Subpart K, so the fleet improves through normal attrition. But distribution transformer service life routinely exceeds forty years, and 31 percent of this Client's population predated any efficiency standard, mandatory or voluntary. At natural replacement rates the legacy population takes decades to clear, and every year of delay is a full year of the no-load loss differential, which is the most expensive kind. The recommended program accelerates replacement only for the worst-performing and most oversized units — 11,500 of 70,400 — at an incremental cost above the like-for-like replacements already budgeted. Right-sizing at the moment of change-out costs almost nothing and is routinely skipped because the crew carries a like-for-like spare.
Yes, and that was an explicit objective. The Python reconciliation pipeline, the calendarization routine, the model update procedure and the allocation methodology were handed over with documentation and training. The annual cycle now takes roughly three staff-weeks and consists of refreshing the data feeds, re-running the reconciliation, updating the models for the year's construction, and regenerating the loss factors. What we would recommend against is skipping the periodic full rebuild. Data quality degrades continuously, and after four or five annual cycles the accumulated GIS and CIS drift is enough to warrant a fresh audit and benchmarking exercise. The annual process tracks; the periodic rebuild verifies. Confusing the two is how a loss model becomes stale without anyone noticing.
16. Glossary of Terms and Abbreviations
| TermDefinition | |
|---|---|
| A-factor | Present value of one kilowatt of no-load loss over equipment life, dollars per kW |
| AMI | Advanced metering infrastructure; interval-recording customer metering |
| B-factor | Present value of one kilowatt of load loss at rated load, dollars per kW |
| Billing calendarization | Prorating cycle-based billing to calendar months for energy balance use |
| CIS | Customer information system; source of billed energy and account records |
| Coincidence factor | Ratio of coincident system peak reduction to the sum of non-coincident reductions |
| Connected kVA allocation | Assigning feeder energy in proportion to transformer nameplate rating |
| CVR | Conservation voltage reduction; reducing service voltage to lower consumption |
| CVR factor | Percent consumption change per percent voltage change |
| DER | Distributed energy resource; generation or storage on the distribution system |
| Energy balance | Source energy minus billed minus unbilled equals total loss |
| Fixed loss | See no-load loss; present whenever equipment is energized |
| GIS | Geographic information system; source of network connectivity and asset data |
| Load-dependent loss | Series or I²R loss varying with the square of current |
| Load factor | Ratio of average demand to peak demand over a period |
| Loss factor | Ratio of average power loss to peak power loss over a period |
| Marginal loss factor | Incremental loss per incremental unit of delivered energy; roughly twice average |
| No-load loss | Core, magnetizing and dielectric loss, independent of load |
| Non-technical loss | Loss not explained by physics; theft, meter error, unmetered and billing error |
| Right-sizing | Replacing an oversized transformer with a correctly rated unit |
| SCADA | Supervisory control and data acquisition; source of feeder and bank histories |
| Technical loss | Loss arising from the physics of current flow through system impedance |
| TOC | Total owning cost; purchase price plus capitalized loss value |
| Unbalance | Deviation of phase currents from their average, expressed as a percentage |
| Unbilled energy | Delivered energy not billed in the period; company use, street lighting, cabinets |
| VVO | Volt-var optimization; coordinated control of regulators and capacitor banks |
| 8,760-hour study | Time-series simulation of every hour of a year rather than a peak snapshot |
17. Confidentiality and Use Statement
This case study has been prepared for informational purposes. All client identities, project locations, contract details, and proprietary data have been withheld or generalized. Technical parameters, study results, and figures presented are representative of work performed by Keentel Engineering Solutions and have been adapted so that no individual project, owner, or facility can be identified. Nothing in this document constitutes a design recommendation for any specific installation. Any reuse of the methodologies described requires project-specific engineering analysis by a qualified professional engineer.










