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September 15, 2026ElectricityOpen Access

Synthetic Load Profile Generation for Residential and Commercial Loads: A Comparative Study of Stochastic Models

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Authors

JJJuan JiménezRIRicardo Isaza-RugetJGJavier Rosero García

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Overview

Comparative study reveals that load typology dictates stochastic model accuracy across residential and commercial demand, indicating that model selection requires typology-specific trade-offs.

Key Points

  • To evaluate and compare the cross-typology transferability of data-driven and bottom-up stochastic models for generating synthetic electrical load profiles in residential and commercial environments.
  • Evaluated three stochastic models: a first-order autoregressive profile (AR(1)), a physically constrained ON/OFF event model, and a nonlinear-least-squares (NLS) calibrated model.
  • Analyzed Class A power-quality records at 10-minute resolution from a single-family home (13 days, N=1,860 samples, skewness 6.56) and an institutional commercial building (9 days, N=1,333 samples, skewness 3.47).
  • Benchmarked models using six distributional statistics (mean, standard deviation, p50, p90, p95, p99), Kolmogorov–Smirnov statistics, root mean square error, and hourly variance profiles.
  • For commercial loads, the simple AR(1) model reproduced all percentiles within 7%, while the NLS-calibrated variant achieved upper-tail errors under 2% at a computational cost roughly 1,000 times higher.
  • For residential loads, no tested model reproduced the distribution center, dispersion, and upper tail simultaneously within a 10% error margin.
  • Residential upper-tail demand showed a trade-off where AR(1) had minimal bias (p99 error: −5.8%) but high variation across realizations (CV = 15.3%), whereas the NLS model achieved precise p95 replication (−0.3% error).

Cite This Study

Jiménez et al. (2026) studied this question.

synapsesocial.com/papers/6aa913a29013453be30a1b8dhttps://doi.org/10.3390/electricity7030105
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