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4.7. System calculation<br />

4.7 System calculation<br />

Most calculations are done in the respective component modules as<br />

described in chapter 3, but calculations concerning more than one<br />

component (or just very simple components - merely consisting <strong>of</strong> an<br />

efficiency) have been places in the main system file. These calculations<br />

will be described in the following sections.<br />

Inverter<br />

The power produced by the SOFC (Ẇ SOFC ) is delivered by direct current<br />

(DC), but for many applications alternating current (AC) is more desirable.<br />

It is assumed that the other components in the system (blower, fan <strong>and</strong><br />

pumps) are driven by AC power.<br />

An inverter converts DC to AC which introduces a power loss. The<br />

efficiency <strong>of</strong> the inverter is specified by η inver t which is estimated to 95%.<br />

4.7.1 Efficiencies<br />

When looking at the system it is convenient to know how much energy<br />

that is available in each point <strong>of</strong> the gas stream (<strong>fuel</strong>, air <strong>and</strong> exhaust gas).<br />

For this the ”energy flow rate”, ∆Ḣ, is used 13 . It is defined as how much<br />

enthalpy the gas contains in a given point relative to when it is totally<br />

combusted at the reference temperature (T re f = 25 ◦ C, in non-condensed<br />

state):<br />

∆Ḣ j = Ḣ j − Ḣ f ull y combusted at Tre f<br />

(4.5)<br />

∆Ḣ is calculated in point 0 to 24 (figure 4.1 page 80). The sum <strong>of</strong> all<br />

incoming gases to the system (point 0, 1 <strong>and</strong> 11) is called ∆Ḣ i .<br />

SOFC<br />

The gross AC <strong>and</strong> the net AC power delivered by the SOFC stack (without<br />

deductions for ABS pump or cooling tower fan) is calculated respectively<br />

13 Caution! This has another reference than the normal enthalpy flow rate Ḣ as<br />

defined in equation 3.1 page 43<br />

97

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