Research Question

How can nuclear energy help Australia reach net-zero emissions by 2050?

This model optimises capacity expansion decisions across solar, wind, gas, and nuclear to meet growing electricity demand at lowest total cost while achieving net-zero by 2050.

Key Fix: Capacity now properly compounds over time. Once built, assets remain in the system and depreciate with age—they don’t disappear if you don’t build new ones.


1. Model Setup & Parameters

## Parameters loaded.
## Demand 2025: 200 TWh | Demand 2050: 340 TWh

2. Optimisation Model (CORRECTED)

## Solving with GLPK...
## Status: error
## ⚠️  WARNING: Solver did not find optimal solution.
## Status: error

3. Results & Analysis

Key Performance Indicators

Optimal system outcomes
KPI Value
Peak solar capacity (all time) 92.4 GW
Peak wind capacity (all time) 40.9 GW
Peak nuclear capacity (all time) 2.5 GW
Peak gas capacity (all time) 15.6 GW
Nuclear capacity at 2050 2.5 GW
Nuclear generation at 2050 20 TWh
Solar + Wind generation at 2050 300 TWh
Total demand at 2050 340 TWh
Emissions at 2050 9.21 Mt CO₂
Total system cost $5.7 billion

4. Visualisations

Generation Mix (Now capacity stays built)

Installed Capacity (Now monotonic with depreciation)

Annual Build Rates

CO₂ Emissions Trajectory

Technology Comparison at Net-Zero Year

Optimal energy mix at 2050
Technology Generation (TWh) Share (%) Capacity (GW)
solar 219.1 64.4 89.3
wind 80.4 23.6 21.8
gas 20.5 6.0 5.8
nuclear 20.0 5.9 2.5
## Solver status: success

6. Model Documentation

Key Equations:

Capacity evolution: \[k_{i,t} = (1-\delta_i) k_{i,t-1} + b_{i,t}\]

where \(\delta_i = 1/\text{life}_i\) is the annual depreciation rate.

Generation capacity constraint: \[x_{i,t} \leq CF_i \cdot k_{i,t}\]

Demand balance: \[\sum_i x_{i,t} + \text{slack}_t \geq D_t\]

Build limits: \[b_{i,t} \leq B^{\max}_i\]