Datasets:
MOH/Oil ratio-1 float64 7 9 ⌀ | Temp-1
(C) int64 80 100 ⌀ | R. Time-1 (hr)
float64 3.5 8 ⌀ | MOH/Oil ratio-2 float64 3.04 4 ⌀ | Temp-2
(C) int64 40 80 ⌀ | R. Time-2 (hr)
float64 0.5 1.5 ⌀ | CONV, y (%) float64 82 99.6 ⌀ |
|---|---|---|---|---|---|---|
7 | 80 | 3.5 | 3.04 | 40 | 0.5 | 81.95 |
7 | 80 | 3.5 | 3.04 | 40 | 0.75 | 85.18 |
7 | 80 | 3.5 | 3.04 | 40 | 1 | 87.13 |
7 | 80 | 3.5 | 3.04 | 40 | 1.25 | 88.46 |
7 | 80 | 3.5 | 3.04 | 40 | 1.5 | 89.45 |
7 | 80 | 3.5 | 3.04 | 48 | 0.5 | 86.33 |
7 | 80 | 3.5 | 3.04 | 48 | 0.75 | 88.79 |
7 | 80 | 3.5 | 3.04 | 48 | 1 | 90.26 |
7 | 80 | 3.5 | 3.04 | 48 | 1.25 | 91.27 |
7 | 80 | 3.5 | 3.04 | 48 | 1.5 | 92.01 |
7 | 80 | 3.5 | 3.04 | 56 | 0.5 | 89.5 |
7 | 80 | 3.5 | 3.04 | 56 | 0.75 | 91.39 |
7 | 80 | 3.5 | 3.04 | 56 | 1 | 92.52 |
7 | 80 | 3.5 | 3.04 | 56 | 1.25 | 93.28 |
7 | 80 | 3.5 | 3.04 | 56 | 1.5 | 93.85 |
7 | 80 | 3.5 | 3.04 | 64 | 0.5 | 91.81 |
7 | 80 | 3.5 | 3.04 | 64 | 0.75 | 93.28 |
7 | 80 | 3.5 | 3.04 | 64 | 1 | 94.15 |
7 | 80 | 3.5 | 3.04 | 64 | 1.25 | 94.75 |
7 | 80 | 3.5 | 3.04 | 64 | 1.5 | 95.18 |
7 | 80 | 3.5 | 3.04 | 72 | 0.5 | 93.52 |
7 | 80 | 3.5 | 3.04 | 72 | 0.75 | 94.67 |
7 | 80 | 3.5 | 3.04 | 72 | 1 | 95.35 |
7 | 80 | 3.5 | 3.04 | 72 | 1.25 | 95.82 |
7 | 80 | 3.5 | 3.04 | 72 | 1.5 | 96.16 |
7 | 80 | 3.5 | 3.04 | 80 | 0.5 | 94.79 |
7 | 80 | 3.5 | 3.04 | 80 | 0.75 | 95.7 |
7 | 80 | 3.5 | 3.04 | 80 | 1 | 96.25 |
7 | 80 | 3.5 | 3.04 | 80 | 1.25 | 96.62 |
7 | 80 | 3.5 | 3.04 | 80 | 1.5 | 96.89 |
7 | 80 | 3.5 | 3.28 | 40 | 0.5 | 85.12 |
7 | 80 | 3.5 | 3.28 | 40 | 0.75 | 88.29 |
7 | 80 | 3.5 | 3.28 | 40 | 1 | 90.16 |
7 | 80 | 3.5 | 3.28 | 40 | 1.25 | 91.43 |
7 | 80 | 3.5 | 3.28 | 40 | 1.5 | 92.35 |
7 | 80 | 3.5 | 3.28 | 48 | 0.5 | 89.39 |
7 | 80 | 3.5 | 3.28 | 48 | 0.75 | 91.74 |
7 | 80 | 3.5 | 3.28 | 48 | 1 | 93.11 |
7 | 80 | 3.5 | 3.28 | 48 | 1.25 | 94.02 |
7 | 80 | 3.5 | 3.28 | 48 | 1.5 | 94.68 |
7 | 80 | 3.5 | 3.28 | 56 | 0.5 | 92.4 |
7 | 80 | 3.5 | 3.28 | 56 | 0.75 | 94.12 |
7 | 80 | 3.5 | 3.28 | 56 | 1 | 95.12 |
7 | 80 | 3.5 | 3.28 | 56 | 1.25 | 95.77 |
7 | 80 | 3.5 | 3.28 | 56 | 1.5 | 96.24 |
7 | 80 | 3.5 | 3.28 | 64 | 0.5 | 94.5 |
7 | 80 | 3.5 | 3.28 | 64 | 0.75 | 95.77 |
7 | 80 | 3.5 | 3.28 | 64 | 1 | 96.48 |
7 | 80 | 3.5 | 3.28 | 64 | 1.25 | 96.95 |
7 | 80 | 3.5 | 3.28 | 64 | 1.5 | 97.28 |
7 | 80 | 3.5 | 3.28 | 72 | 0.5 | 95.97 |
7 | 80 | 3.5 | 3.28 | 72 | 0.75 | 96.89 |
7 | 80 | 3.5 | 3.28 | 72 | 1 | 97.4 |
7 | 80 | 3.5 | 3.28 | 72 | 1.25 | 97.73 |
7 | 80 | 3.5 | 3.28 | 72 | 1.5 | 97.96 |
7 | 80 | 3.5 | 3.28 | 80 | 0.5 | 96.98 |
7 | 80 | 3.5 | 3.28 | 80 | 0.75 | 97.65 |
7 | 80 | 3.5 | 3.28 | 80 | 1 | 98.01 |
7 | 80 | 3.5 | 3.28 | 80 | 1.25 | 98.24 |
7 | 80 | 3.5 | 3.28 | 80 | 1.5 | 98.4 |
7 | 80 | 3.5 | 3.52 | 40 | 0.5 | 87.6 |
7 | 80 | 3.5 | 3.52 | 40 | 0.75 | 90.56 |
7 | 80 | 3.5 | 3.52 | 40 | 1 | 92.27 |
7 | 80 | 3.5 | 3.52 | 40 | 1.25 | 93.39 |
7 | 80 | 3.5 | 3.52 | 40 | 1.5 | 94.19 |
7 | 80 | 3.5 | 3.52 | 48 | 0.5 | 91.57 |
7 | 80 | 3.5 | 3.52 | 48 | 0.75 | 93.66 |
7 | 80 | 3.5 | 3.52 | 48 | 1 | 94.83 |
7 | 80 | 3.5 | 3.52 | 48 | 1.25 | 95.59 |
7 | 80 | 3.5 | 3.52 | 48 | 1.5 | 96.12 |
7 | 80 | 3.5 | 3.52 | 56 | 0.5 | 94.23 |
7 | 80 | 3.5 | 3.52 | 56 | 0.75 | 95.67 |
7 | 80 | 3.5 | 3.52 | 56 | 1 | 96.46 |
7 | 80 | 3.5 | 3.52 | 56 | 1.25 | 96.97 |
7 | 80 | 3.5 | 3.52 | 56 | 1.5 | 97.32 |
7 | 80 | 3.5 | 3.52 | 64 | 0.5 | 95.97 |
7 | 80 | 3.5 | 3.52 | 64 | 0.75 | 96.96 |
7 | 80 | 3.5 | 3.52 | 64 | 1 | 97.49 |
7 | 80 | 3.5 | 3.52 | 64 | 1.25 | 97.82 |
7 | 80 | 3.5 | 3.52 | 64 | 1.5 | 98.05 |
7 | 80 | 3.5 | 3.52 | 72 | 0.5 | 97.11 |
7 | 80 | 3.5 | 3.52 | 72 | 0.75 | 97.78 |
7 | 80 | 3.5 | 3.52 | 72 | 1 | 98.13 |
7 | 80 | 3.5 | 3.52 | 72 | 1.25 | 98.35 |
7 | 80 | 3.5 | 3.52 | 72 | 1.5 | 98.5 |
7 | 80 | 3.5 | 3.52 | 80 | 0.5 | 97.84 |
7 | 80 | 3.5 | 3.52 | 80 | 0.75 | 98.3 |
7 | 80 | 3.5 | 3.52 | 80 | 1 | 98.53 |
7 | 80 | 3.5 | 3.52 | 80 | 1.25 | 98.67 |
7 | 80 | 3.5 | 3.52 | 80 | 1.5 | 98.77 |
7 | 80 | 3.5 | 3.76 | 40 | 0.5 | 89.5 |
7 | 80 | 3.5 | 3.76 | 40 | 0.75 | 92.19 |
7 | 80 | 3.5 | 3.76 | 40 | 1 | 93.7 |
7 | 80 | 3.5 | 3.76 | 40 | 1.25 | 94.67 |
7 | 80 | 3.5 | 3.76 | 40 | 1.5 | 95.35 |
7 | 80 | 3.5 | 3.76 | 48 | 0.5 | 93.09 |
7 | 80 | 3.5 | 3.76 | 48 | 0.75 | 94.89 |
7 | 80 | 3.5 | 3.76 | 48 | 1 | 95.88 |
7 | 80 | 3.5 | 3.76 | 48 | 1.25 | 96.5 |
7 | 80 | 3.5 | 3.76 | 48 | 1.5 | 96.92 |
Two-Stage Transesterification Operating-Parameter Dataset (21,001 records)
A tabular dataset mapping six manipulated operating parameters of a two-stage alkali-catalysed transesterification process to the resulting biodiesel conversion rate (%). It was built as a sensitivity-analysis sweep over the process operating envelope and is intended as a benchmark for surrogate modelling, static optimisation (RSM / Bayesian optimisation), and reinforcement learning for continuous process control.
This is the dataset accompanying the paper "A Hybrid LSTM-DDPG Framework for Operating-Parameter Optimisation of a Two-Stage Transesterification Process."
Dataset structure
21,001 rows × 7 columns. No missing values, no duplicate rows.
| Column | Description | Unit | Min | Max | Levels |
|---|---|---|---|---|---|
MOH/Oil ratio-1 |
Methanol-to-oil molar ratio, stage 1 | mol/mol | 7.0 | 9.0 | 4 |
Temp-1 (C) |
Reaction temperature, stage 1 | °C | 80 | 100 | 5 |
R. Time-1 (hr) |
Reaction time, stage 1 | h | 3.5 | 8.0 | 7 |
MOH/Oil ratio-2 |
Methanol-to-oil molar ratio, stage 2 | mol/mol | 3.035 | 4.0 | 5 (+1) |
Temp-2 (C) |
Reaction temperature, stage 2 | °C | 40 | 80 | 6 (+1) |
R. Time-2 (hr) |
Reaction time, stage 2 | h | 0.5 | 1.5 | 5 (+1) |
CONV, y (%) |
Target — biodiesel conversion rate | % | 81.95 | 99.58 | continuous |
Design of experiments
The first 21,000 rows form a complete full-factorial grid: 4 × 5 × 7 = 140 stage-1 settings crossed with 5 × 6 × 5 = 150 stage-2 settings. Every stage-1 combination appears with all 150 stage-2 combinations, so the design is fully balanced and orthogonal.
Row 21,001 is a single off-grid point (MeOH/oil-2 = 3.835, T2 = 75 °C, t2 = 1.055 h, conversion = 99.26%) appended outside the factorial lattice. Users who require a strictly rectangular design should drop it; users benchmarking against the source paper should keep it, since all reported statistics use the full 21,001 records.
Target distribution
Mean conversion is 95.73%, with the third quartile at 98.35%. The response surface is strongly monotone in the stage-1 alcohol-to-oil ratio, which dominates the variance; stage-2 variables have comparatively narrow optimal windows. The maximum conversion of 99.583% occurs at the upper corner of the envelope (9.0 mol/mol, 100 °C, 8.0 h / 4.0 mol/mol, 80 °C, 1.5 h) — this value acts as a hard ceiling for any surrogate-based optimiser trained on the data.
Usage
import pandas as pd
df = pd.read_csv("Dataset.csv")
X = df.iloc[:, :6].values # six manipulated variables
y = df.iloc[:, 6].values # conversion rate (%)
To reproduce the split used in the paper: remove outliers with a 3 × IQR filter,
then split 70/15/15 with random_state=42, fitting StandardScaler on the
training partition only.
Intended uses
- Regression / soft-sensor benchmarking on a smooth, low-dimensional, noise-free response surface.
- Static optimisation baselines (response surface methodology, Bayesian optimisation, genetic algorithms).
- A nearest-neighbour or learned surrogate environment for reinforcement learning in continuous action spaces, avoiding the cost of physical reactor interaction.
- Ablation studies comparing one-shot optimisation against sequential decision-making under simulated constraint changes and feedstock drift.
Limitations and caveats
- Simulation-derived, not experimental. Values come from a sensitivity analysis of the process, not from wet-lab measurement. Absolute conversion figures should not be treated as validated plant data.
- Noise-free and deterministic. Each parameter combination maps to exactly one conversion value. Models trained here will not encounter the measurement noise, catalyst deactivation, or feedstock variability of a real reactor.
- Single feedstock. The grid varies operating conditions only; feedstock composition, free-fatty-acid content, and catalyst loading are held fixed.
- Extrapolation is unsupported. Nearest-neighbour or interpolating surrogates are trustworthy only inside the convex hull of the grid. Optimisers cannot discover conversions above 99.583% and any such result is an artefact.
- Coarse grid spacing. With only 4–7 levels per variable, gradients near the optimum are resolved coarsely.
Citation
@inproceedings{butarbutar2026hybrid,
title = {A Hybrid {LSTM-DDPG} Framework for Operating-Parameter
Optimisation of a Two-Stage Transesterification Process},
author = {Butarbutar, Chardinal Martin and
Widada, Bartolomeus Priya Perkasa Utama and
Putra, Cendra Devayana and
Putri, Berliana Devianti and
Taipabu, Ikhsan},
booktitle = {TBA},
year = {2026}
}
Contact
Cendra Devayana Putra — putracendra@unesa.ac.id (Surabaya State University)
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