modelReservoir

Information

Reservoir Model

Simple model of the reservoir with different options for modeling the water source of a hydropower system.

Figure: Reservoir model schematic.

Model Variants

• Default (Simple): Container with an initial water level of H_0. The water level will vary according to the outlet volume flow rate.
• useLevel: The water level is determined by the level input signal, allowing external control of the (varying) reservoir levels.
• useInflow: Reservoir starts with an initial water level of H_0 but uses the inflow input as additional water source (can also be negative to simulate evaporation or other losses).

Governing Equations

Simplified Model: In the simple case with constant or slowly varying reservoir level, the reservoir outlet pressure is simply:

$$ p_\mathrm{o} = p_\mathrm{atm} + \rho g H $$

Detailed Model: For a detailed model with dynamics and inflow, the mass and momentum balances are:

$$ H\frac{\mathrm{d}\dot{m}}{\mathrm{d}t} = \frac{\rho}{A}\dot{V}^2 + A(p_\mathrm{atm}-p_\mathrm{o}) + \rho gHA - F_\mathrm{f,r} $$

$$ \frac{\mathrm{d}m}{\mathrm{d}t} = \dot{m}_\mathrm{i} - \dot{m}_\mathrm{o} $$

where ṁ is the reservoir mass flow rate, A is the cross-sectional area, p_atm and p_o are atmospheric and outlet pressures, and F_f,r is the friction term (typically small for large reservoirs).

Parameters

Connectors

Components