XPowerACADEMY

Level two · L2-EVIDENCE

Evidence of performance

Baseline, adjustments, uncertainty and a reproducible conclusion.

3 languages8 / 6 · chapters · exercisesEdition 2026-09-12 · 2.0 12.09.2026
Contents

Starting asset

Teaching asset M-01 has a specified monthly baseline E = 400 + 12 × HDD + 80 × D, with E in kWh, HDD in heating degree-days and D in operating days. The six-month reporting period totals 1,200 HDD and 120 operating days; actual consumption is 21,000 kWh. The exercise specifies a savings-estimate standard uncertainty of 1,200 kWh.

Outcome: Prepare an evidence package that can be checked independently of its author.

Level-one foundations

L2-EVIDENCE / 01

State a testable claim

A performance claim specifies asset, useful service, period, boundary, unit and comparison method. Record changes in comfort, product quality, output and reliability separately. Lower consumption following a production shutdown requires a different explanation from improved efficiency at unchanged output.

Every figure has an origin: measurement, calculation, assumption or external estimate. Preserve these statuses. Expand “20% savings” into its numerator, denominator, observation window and adjustments. This makes the claim’s meaning testable before any recalculation.

L2-EVIDENCE / 02

Choose the measurement boundary

Equipment-level measurement helps connect an intervention to its effect but requires accounting for interactions with the rest of the asset. A whole-building meter covers the overall result while responding to other load changes. A calibrated model may help when an appropriate baseline is unavailable, provided inputs and validation are explicit.

Method choice depends on effect size, available data and verification purpose. IPMVP provides a framework of measurement and verification options; record the edition and selected option. M-01 illustrates adjustment of baseline consumption to reporting-period conditions.

L2-EVIDENCE / 03

Prepare the time series

Align energy, weather and operating data to identical intervals and a common time zone. Check gaps, duplicates, meter replacement, multiplier changes and impossible values. Preserve raw files and a processing log. Data corrections must be reproducible.

Degree-days require a consistent base temperature and calculation method. Operating days need a stable definition. If within-day operation varies substantially, hours or output may be more suitable predictors. Select predictors for physical relevance and evaluate them on data excluded from model fitting.

L2-EVIDENCE / 04

Calculate the adjusted baseline

M-01 coefficients are supplied by the exercise. Six monthly intercepts give 6 × 400 = 2,400 kWh. Weather contributes 12 × 1,200 = 14,400 kWh. Operation adds 80 × 120 = 9,600 kWh. The adjusted baseline is 26,400 kWh.

A real project estimates and validates coefficients before applying them to the reporting period. Check signs, units and applicability. Extrapolation to temperatures or output outside the observed range needs separate justification. Post-intervention data must not silently refit the original baseline.

E_adjusted = months × intercept + weather_coefficient × HDD + operation_coefficient × days
L2-EVIDENCE / 05

Calculate savings and their value

M-01 savings equal 26,400 − 21,000 = 5,400 kWh, or 20.45% of the adjusted baseline. Dividing by actual consumption would produce a different percentage with a different meaning. State the denominator alongside the result.

For monetary valuation, apply the agreed tariff to the corresponding intervals. With time-varying prices, multiplying annual energy by an average rate can misstate value. Record capacity services, technical costs and deferred replacement separately. Keep energy reduction and cost change visible as distinct measures.

Savings = E_adjusted − E_actual
Savings_rate = Savings / E_adjusted
L2-EVIDENCE / 06

Report uncertainty

Performance estimates contain measurement, baseline-model and processing uncertainty. Combining them depends on correlations and the evaluation method. The exercise supplies aggregate standard uncertainty of 1,200 kWh. Under the assumed normal approximation, 5,400 ± 1.96 × 1,200 gives an interval from 3,048 to 7,752 kWh.

The 1.96 multiplier belongs to this approximation. Small samples, dependent residuals or another model require a suitable method. The lower endpoint can inform an explicitly agreed conservative teaching settlement scenario. It is not a universal payment or certification rule.

Illustrative_interval = Savings ± 1.96 × standard_uncertainty
L2-EVIDENCE / 07

Test an alternative explanation

For every claimed effect, propose another possible cause: warmer weather, shorter hours, another equipment repair, a sensor change or a different product. Identify observations that distinguish explanations. A control asset is useful when conditions are comparable and interactions are understood.

A strong baseline fit does not establish causation. Examine the intervention, timing and concurrent changes. Where required data is missing, narrow the conclusion to the observed change with stated uncertainty. Plan the next experiment to address a specific evidence gap.

L2-EVIDENCE / 08

Package evidence for handover

The package contains raw data, a variable dictionary, processing description, versioned model, result calculation, uncertainty, change log and claim limitations. Separate calibration and validation data. Record preparation date and the owner of each source.

A reviewer should reproduce the result without oral instructions from its author. Correct errors through a new version with a change history. The next season adds another observation period. Real-asset materials can become a teaching case after authorized de-identification and checking reuse rights.

Calculation laboratory

Compare measured consumption with a baseline adjusted to reporting-period conditions. Then test how uncertainty changes the strength of the conclusion.

Status: teaching example

Calculated result

Coefficients and aggregate standard uncertainty are supplied in the exercise. S ± 1.96u assumes a suitable normal approximation. It does not replace residual, covariance, missing-data and model-fitness analysis. JSON contains the six original teaching months; changing fields does not refit the model.

Exercises

01 · Monthly intercept

Why does the six-month M-01 intercept contribution equal 2,400 kWh?

Method and reference result

400 kWh applies to each month: 6 × 400 = 2,400. Adding 400 once would understate baseline by 2,000 kWh.

02 · Baseline and effect

Reproduce the adjusted baseline, savings and percentage.

Method and reference result

26,400 kWh; 5,400 kWh; 20.45% of adjusted baseline.

03 · Result interval

Apply the specified 1,200 kWh standard uncertainty and normal approximation.

Method and reference result

Half-width is 2,352 kWh. Interval: 3,048 to 7,752 kWh.

04 · When the sign is unresolved

Increase standard uncertainty to 3,000 kWh. How does the conclusion change?

Method and reference result

The interval from −480 to 11,280 kWh includes zero. A positive effect is unresolved at the chosen approximation level.

05 · Inapplicable baseline

A new asset operates continuously, while the baseline model was fitted to single-shift operation. What is required?

Method and reference result

Check applicability, collect new observations, choose an appropriate predictor and independently validate the revised model. Direct coefficient transfer needs justification.

06 · Incomplete data

Five reporting-month days are missing, including a cold period. Propose a treatment.

Method and reference result

First seek recovery from the primary source. If estimating the gap, specify the method, test bias, increase uncertainty and separately show the contribution of estimated values.

Field project

Prepare a protocol for a real intervention: claim, boundary, baseline and reporting periods, data dictionary, raw series, reproducible processing, model validation and uncertainty evaluation. Add at least three alternative explanations for the observed change.

Another agent must recalculate the result and identify claim limitations. Practical defence requires an implemented project’s data and verification that the useful service was preserved. M-01 supports method practice and alone does not establish real-asset competence.

How the work is assessed

Academy teaching rubric: 100 points maximum. The calculation defence requires at least 80 points and all mandatory checks. Practical assessment additionally requires an implemented project and measurements. This page prepares the work; it does not issue certificates automatically.

MeasureOutcomePoints
Problem and boundariesAsset, useful service, units and constraints are defined.20
Calculation and dataThe main result is reproducible and inputs are traceable.25
Result verificationMeasurement, comparison and uncertainty match the claim.20
Adverse conditionsFailure, changed conditions and recovery are examined.15
Operational handoverOwners, acceptance programme and actionable instructions are present.10
Transfer to a new assetNew conditions and required adaptations are demonstrated.10

Mandatory checks

Units and boundaries are consistent. Every material input has a source. Assumptions and measurements are identified separately. An adverse scenario is tested. The submitted result is reproducible. Practical claims are backed by implemented work.

Project workbook

Fill in your asset details. Keep the downloaded file and pass it to a reviewer with the evidence.

Agent assignment

Study the book and prerequisites. Reproduce the reference calculation. Solve the exercises before reading the methods. Prepare a project for a new asset. Return inputs with units and provenance, calculation, applicability limits, an adverse scenario, a measurement plan and questions for the human. Give the package to another agent for independent checking.

Download assignment · TXT

Books and primary sources

External material supports method study. Mention does not imply partnership or external Academy accreditation.

After implementation

After one month, check metering and operating conditions. After a season changes, review the forecast and limits. Verify the final claim over its complete stated period. Add new observations to the project history and use them to develop the next exercise.