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HVAC SYSTEMS - HFT Stuttgart

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s m sc<br />

s<br />

h , col , i h , ad , i load , i loss , i cc , i fc , i<br />

Page - 23 -<br />

CHAPTER 02<br />

dT<br />

= Q&<br />

+ Q&<br />

− Q&<br />

−Q&<br />

+ Q&<br />

+ Q&<br />

(2.2.1-20)<br />

dt<br />

For the calculation of the energy exchange between the layers from top (i=1) to<br />

bottom (i=n) first the effective mass flows are calculated. For two connections<br />

(supply and return) of the heat source side and two connections (supply and<br />

return) of the load side with typically counter flow arrangement (supply to the<br />

heat source from the bottom and supply to the load from the top), the effective<br />

mass flow between the layers is calculated from the difference between both<br />

mass flows. For the first and the last layer the effective mass flow is zero.<br />

In the developed model ideal stratification charge systems are considered for<br />

both, the heat supply and the return flow of the load. Therefore, in the model<br />

first the temperature profile of the storage tank of the previous time step is<br />

evaluated and compared to the actual heat supply and load return temperature.<br />

The heat supply is then fed into the highest possible node with a temperature<br />

less or equal to the actual heat supply temperature. The load return is fed into<br />

the highest possible node with a temperature equal or grater to the actual load<br />

return temperature. In the model the mass flow control of the heat supply and<br />

load return is controlled by load Boolean switch parameters<br />

h<br />

load<br />

δ (heat supply) and δ (load return).<br />

i<br />

i<br />

Once the two layers with direct mass flow are known the mass flows between<br />

the layers are calculated. From the new mass flows and the inlet temperatures<br />

of the two sources the new temperature of each layer is calculated.<br />

m& = m&<br />

⋅ δ − m&<br />

⋅ δ for i = 2,N (2.2.1-21)<br />

i<br />

h<br />

h<br />

i<br />

load<br />

load<br />

i<br />

m& = 0<br />

for i = 1 and i = N (2.2.1-22)<br />

i<br />

A positive effective mass flow with energy gain from layer i-1 to layer i is<br />

considered by the parameter δi + = 1. For no or negative mass flow δi + = 0. A

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