Tank level (thermal energy)

The tank's counterpart of get_storage_level(): the level in kWh thermal at the start of each slot, starting from init, with S[t+1] = max(k * S[t] + (cop[t] * power[t] + backup[t] - heat_demand[t]) * dt, 0) and k = (1 - loss/100)^dt, dt being the time resolution in hours. Level 0 is the inlet temperature: an empty tank gives no more heat, and the demand it cannot serve is unmet heat.

Usage

get_tank_level(
  power,
  heat_demand,
  cop,
  init,
  loss = 0,
  time_resolution = 60,
  backup = 0
)

Arguments

power

numeric vector, compressor electric power (kW), such as the result of add_tank_optimization()

heat_demand

numeric vector, heat demand (kW thermal)

cop

numeric vector, coefficient of performance (heat per electric kWh)

init

numeric, level before the first slot (in kWh, not %)

loss

numeric, standing loss of the level (% per hour)

time_resolution

numeric, time resolution of the time-series (in minutes)

backup

numeric, backup heater power (kW electric = kW thermal): attr(result, "backup_kw") of add_tank_optimization(), or 0 without a backup heater

Value

numeric vector of the level (kWh), rounded to 2 decimals