Organic Rankine Cycle Solar-Thermal Powerplants

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Organic Rankine Cycle Solar-Thermal Powerplants ( organic-rankine-cycle-solar-thermal-powerplants )

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166 The explicitly discretized versions of equations B.1 and B.2 can be simplified by adding the following constraint: ρAε∆x m ∆t= f c = f [B.7] Constraining the time step in this way has the effect of eliminating the convective energy transfer terms from the energy balance. The details of this derivation are shown by McMahan [2006]. Equations [B.1], [B.2] and [B.7] yield fluid and solid nodal energy balances of the following form: Tf,(i,t+∆t) =Tf,(i−1,t) −hAnode(Tf,(i−1,t) −Ts,(i,t)) [B.8] m& f C f Ts,(i,t+∆t) =Ts,(i,t) +hAnode∆t(Tf,(i−1,t) −Ts,(i,t)) [B.9] msCs Type 994 further simplifies equations [B.8] and [B.9] by assuming an effectively infinite overall fluid-solid heat transfer coefficient. That is, the fluid and solid are in thermal equilibrium at every point in the computational domains:Tf ,(i+1,t+∆t) =Ts,(i,t+∆t) . With this simplification equations [B.8] and [B.9] become a single equation: Tf,(i,t+∆t) =Ts,(i−1,t+∆t) =Tf,(i−1,t)m&fCp,f∆t+Ts,(i,t)msCp,s [B.10] m& f C p , f ∆ t + m s C p , s Equation [B.10] is then integrated forward in time to determine temperature as a function of location and time within the storage system. Equation B.7 requires that Type 994 operate on a different timescale than TRNSYS. In order to accommodate these disparate time steps, the number of time steps taken by Type 994 (InternalTimesteps) during each TRNSYS time step is defined by the following expression: InternalTimesteps = ∆tTRNSYS [B.11] ∆t994 To accommodate the different time steps used by Type 994 and TRNSYS the outputs returned to TRNSYS are the integrated averages over the smaller time steps taken by Type 994. Material and transport properties are based on user input. Temperature-correlated properties that are calculated at each node and time step are available for a number of potential storage fluids: FluidNumber 1 Nitrate Salt 2 CaloriaTM HT-43 3 Hitec XL 4 Therminol VP-1 5 Hitec 6 Dowtherm Q 7 Dowtherm RP 8 Xceltherm®600 m& f m& f

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