Reservoir Simulation with Precipitation and Constraints

This MATLAB code simulates the behavior of a reservoir system over a given time period

Reservoir Simulation with Precipitation and Constraints

This MATLAB code simulates the behavior of a reservoir system over a given

time period, accounting for factors such as precipitation, linear

reservoir coefficients, upper and lower storage limits, and the presence

of negative and imaginary numbers. The simulation tracks the changes in

storage and outflow values for each reservoir over time.

Parameters:

- x: Number of reservoirs in the system.

- S0: Initial storage value for each reservoir.

- dt: Time step duration in days.

- R0: Precipitation rate in mm/day.

- A: Linear reservoir coefficient in 1/day.

- Q0: Initial outflow value in mm/day.

- Vmax: Upper storage limit for each reservoir.

- up: Maximum outflow value that triggers reduced precipitation.

- lo: Minimum storage limit that terminates the simulation.

Variables:

- A1: Randomized linear coefficients for each reservoir.

- S1: Randomized initial storage values for each reservoir.

- Q1: Randomized initial outflow values for each reservoir.

- N1: Exponent vector for calculating outflow from storage.

- nu01: Storage and outflow values over time for each reservoir.

- y: Precipitation factor that controls precipitation.

- w: Time step index during simulation.

- z: Reservoir index during simulation.

- negative_found: Flag indicating if negative storage values were encountered.

- imaginary_found: Flag indicating if imaginary numbers were encountered.

Simulation Process:

The code iterates through time steps, updating the storage and outflow

values for each reservoir using the given parameters. It also checks for

conditions such as reaching maximum storage, falling below minimum storage,

and encountering imaginary numbers. If storage becomes negative, it is set

to zero. The simulation stops when the outflow drops below a threshold.