LTO (Landing–Take-off) Emission Modeling using Python

3. LTO (Landing–Take-off) Emission Modeling
Title: LTO Cycle Emission Prediction Models for Commercial Aircraft Using ICAO Standard Data
Focus:
• Derive emission factors for each LTO phase
• Fuel burn modeling
Output: LTO emission calculator or nomograms.
2. ENGINE + LTO RELATIONSHIP GRAPHS (Very useful for modelling papers)
2.1 Scatter Plots
• Fuel flow vs NOx (per mode)
• Fuel flow vs CO₂
• Thrust setting vs emission index
• Engine pressure ratio vs LTO NOx
2.2 Regression / Trendline Plots
• NOx = f(fuel flow) for each mode
• CO₂ = f(thrust rating)
• Taxi time vs emission buildup
2.3 Multi-Scatter Plots
• For comparing phases in a single figure:
o Idle vs Takeoff
o Climb-out vs Approach
o Plot emissions against fuel flow
3. LTO FUEL BURN & TIME-IN-MODE MODELING GRAPHS
3.1 LTO Fuel Burn Maps
• Fuel burn vs aircraft weight
• Fuel burn vs engine rating
• Fuel burn per phase shown as heatmaps or contour plots
3.2 Time-in-Mode Sensitivity Graphs
• Vary taxi time (5, 10, 15, 20 min) vs NOx increase
• Vary approach time vs HC and CO
3.3 Mode-Specific Curves
• Thrust setting vs NOx factor
• Thrust vs fuel flow
• Mode time vs cumulative emissions
4. MODEL VALIDATION & CROSS-COMPARISON GRAPHS
4.1 Predicted vs Actual Comparison
• Scatter plot with 1:1 line
• Evaluate prediction accuracy
4.2 Error Distribution Plots
• Histogram of prediction error
• Error vs thrust
• Error vs fuel flow
4.3 Confidence Band Plots
• Regression with ±95% prediction bands
• Ideal for modelling papers
5. ADVANCED MODELLING & RESEARCH-GRADE GRAPHS
5.1 Emission Surface / 3D Plots
• (a) Thrust × Fuel Flow × Emission factor
• (b) Weight × Taxi Time × NOx
• Very useful for generating nomograms
5.2 Heatmaps
• Phase-wise emission intensities
• Correlation matrix:
o Fuel flow
o Emission index
o Engine pressure ratio
o Thrust level
o LTO total emissions
5.3 PCA / Dimensionality Reduction
• Identify main factors affecting LTO emissions
• Cluster similar LTO patterns of different engines
5.4 K-Means Clustering
Groups based on LTO behaviour:
• Efficient engines
• High-NOx engines
• High fuel burn engines
6. NOMOGRAMS (Unique for this paper)
Nomograms visually estimate LTO emissions by drawing straight lines across the axes.
Nomogram Types:
6.1 Fuel Flow–Emission Index–Emissions Nomogram
Axes:
• Fuel flow
• EINOx / EICO / EIHC
• Emissions per minute
6.2 Thrust Setting–Fuel Flow–Time Nomogram
Used to quickly estimate emissions under different loads.
6.3 Taxi Time Variation Nomogram
Predict:
• NOx
• CO₂
• CO
for different taxi durations.
6.4 Total LTO Cycle Emission Nomogram
Three axes:
• Engine thrust
• Total LTO time
• Total emissions
7. LTO EMISSION CALCULATOR PLOTS
7.1 Calculator Flowchart (Schematic)
• Input: Aircraft + Engine + Taxi time
• Output: Total NOx, CO₂, HC, CO
7.2 Lookup Tables (Graphically)
• LTO emission lookup matrix
• Taxi-time compensation curves
• Fuel flow–emission lookup table as graph
Tools Required (Best to Acceptable)

1. Python
• matplotlib → All standard plots
• seaborn → Heatmaps, statistical plots
• plotly → 3D surface & interactive plots
• scikit-learn → PCA / clustering
• numpy/pandas → Model fitting and dataset processing