- Monte Carlo Simulations:
- Generate random samples representing different EV charging scenarios based on probability distributions of charging patterns (e.g., Gaussian distributions).
- For each sample, simulate the EV charging load on the distribution system using MATLAB.
- Perform load flow analysis for each scenario to calculate the voltage profiles throughout the system.
- Aggregate the results from multiple simulations to analyze the probabilistic impact on voltage profiles, considering voltage violations or deviations from desired levels.
- Probabilistic Load Flow Analysis:
- Define probability distributions for key parameters affecting EV charging, such as charging demand, plug-in times, and charging durations.
- Utilize MATLAB's probabilistic load flow analysis tools or develop custom algorithms to solve load flow equations considering uncertain parameters.
- Generate multiple scenarios by sampling from the defined probability distributions.
- Solve load flow equations for each scenario to determine voltage profiles under different charging conditions.
- Analyze the ensemble of results to understand the probabilistic impact on distribution system voltage profiles, including voltage violations and system reliability metrics.