GAMS OPF: EV Load Shifting

Job ID: 39864871

Budget: $30 – $250 USD

I want to translate the methodology in Chapter 6 of Soroudi’s “Power System Optimization” into a working GAMS model for the IEEE-24 bus test system. The study must cover both AC and DC optimal power-flow formulations, begin with the classic load-shedding set-up, and then show how the problem can be relaxed into load-shifting by introducing a fleet of Plug-in Hybrid Electric Vehicles (PHEVs) that charge and discharge to balance the system.

Here’s the flow I have in mind:

• Build the base IEEE-24 bus data set, validate that the OPF in GAMS reproduces the textbook results for load shedding.
• Extend the model with a bi-directional PHEV module (aggregate battery size, charging/discharging efficiency, availability profile) so that spilled load is instead shifted across the day.
• Provide runs for both AC-OPF and DC-OPF variants, clearly commenting any extra constraints or variable transformations.
• Produce concise output tables and plots: hourly bus voltages, generator dispatch, PHEV power profile, total curtailed vs shifted load, and system cost comparison.

Deliverables
– Well-commented .gms files for each scenario (AC, DC, with/without PHEVs)
– A short read-me explaining how to execute the models on any recent GAMS release (30.x or similar) and interpret the results
– A brief report (Word file or Markdown) summarising assumptions, key equations, and the numerical findings that demonstrate the improvement achieved by load shifting with PHEVs.
- all curves that shown the voltages and the power flow .
- curves show the charging, discharging and the price of charging , discharging of electric vehicles energy.
- the power also and the prices of the loads grid.

If something in the book is ambiguous, include a note on how you resolved it. All data, plots and code must run end-to-end without manual edits on my side.