Multi-room building model with its heating system
Hypothesis and equations
Example of the MozartMultizone model with a
heating system including an air-to-water heating pump and 4 hot
water radiators (one per room except for two rooms for
simplification).
There is only one water loop (the heat pump and the four
radiators are in series).
The production (heat pump) and the emission part (hot water
radiators) of the heating system have their own control
strategy:
- all-or-nothing regulation at thea heat pump with an hysteresis
of +/- 2°C around 50°C
- proportionnal integral control for the hot water radiator.
The setting of a PI controller needs two values:
- the gain k
assessing the proptionnal band between the controled value
(radiator mass flow rate => heating power) and the mesured value
(room temperature). Here the raditor must be off (=0) when the room
temperature is two degree above the setpoint and fully opened (=1)
when the temperature is two degree below it. The gain is worth to
0,25 (=(1-0)/(2+2°C)).
- the integrator time constant Ti assessing the duration after
which the integral part has an higher weight then the proportional
part. This duration must be consistent with the inertia of the
system. Here the thermal mass of a room could be assessed in first
order to 20 minutes (the needed time you consider for an usual HVAC
systems to reach a new setpoint). If the intagrator time constant
is too short, the system will go up and down or diverge. In the
default setting of this model, it could seem the case for many
heating periods. But the up and down is not due to the radiator PI
controler but due to the all-or-nothing control of the heat
pump.
Bibliography
none
Instructions for use
The heat pump parameter PumpOperation is set to
"Independant control" because its all-or-none control is on the
water temperature outlet and so the water pump has to run all the
time to let the heat pump know the heating needs at the emittors
(here the hot water radiators).
Known limits / Use precautions
none
Validations
Validated model - Hubert BLERVAQUE 03/2021
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Licensed by EDF under a 3-clause BSD-license
Copyright © EDF 2009 - 2023
BuildSysPro version 3.6.0
Author : Hubert BLERVAQUE [prestation externe] (03/2021)
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