Economic Load Dispatch main doc

Algorithm

1. Start
   Initialize all required variables and data structures.

2. Input Generator Data
   • For each generator:
     • Read min & max capacities
     • Read cost coefficients: a, b, c
3. Input User Requirements
   • Read total power demand
   • Set tolerance for acceptable error
   • Set maximum number of iterations

4. Initialize Lambda
   Set an initial value for lambda (e.g. 0.0)

5. Repeat Until Convergence or Max Iteration
   For each iteration:
   • For each generator:
     • Compute power using lambda and cost coefficients
     • Clamp power within [min_capacity, max_capacity]
   • Calculate total generated power

   • Check if $

     power_{total} - demand

     < tolerance$:

     • If yes, exit loop (converged)
     • Else, adjust lambda based on error
6. Output Results
   • Final lambda value
   • Power output for each generator
   • Total cost (optional)
7. End

Flowchart

flowchart TD
   A[Start] --> B[Initialize variables and data structures]
   B --> C[Input Generator Data]
   C --> D["Read min & max capacities and cost coefficients (a, b, c)"]
   D --> E[Input User Requirements]
   E --> F[Read total power demand, tolerance, max iterations]
   F --> G["Initialize Lambda (e.g. λ = 0.0)"]
   G --> H{Repeat Until Converged or Max Iterations}
   
   H --> I[For each generator:<br>Compute power using λ and cost coefficients]
   I --> J[Clamp power within min & max limits]
   J --> K[Calculate total generated power]
   K --> L{"Is |Total Power - Demand| < Tolerance?"}
   
   L -- Yes --> M["Converged: Exit Loop"]
   L -- No --> N[Adjust Lambda based on error]
   N --> H

   M --> O[Output Results:<br>Final λ, Generator Outputs, Total Cost]
   O --> P[End]