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### type214

Course: TRNLIB 16, Fall 2009
School: Wisconsin
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Word Count: 602

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214: Component Three-Way Valve with Actuator by HVACSIM+ General Description This component represents a valve with two inlet ports and one outlet port. The position of the valve is determined by an input control signal, C. Port 1 of the valve is closed when C=0 and open when C=1. The sixth parameter, MODE, determines the inherent characteristics of the two inlet ports. If MODE=0, both ports are linear....

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214: Component Three-Way Valve with Actuator by HVACSIM+ General Description This component represents a valve with two inlet ports and one outlet port. The position of the valve is determined by an input control signal, C. Port 1 of the valve is closed when C=0 and open when C=1. The sixth parameter, MODE, determines the inherent characteristics of the two inlet ports. If MODE=0, both ports are linear. If MODE=1, port 1 is exponential (equal percentage) and port 2 is linear. If MODE=2, both ports are exponential. As discussed in section 4.0 of reference [1], the actual behavior of the valve model in a system simulation will depend on the valve's authority over the system. Nomenclature C - requested relative valve position (0 < C < 1) Ca - relative actuator position (0 <= Ca <= 1) Ch1 - relative opening of port 1 (0 <= Ch <= 1) Ch2 - relative opening of port 2 (0 <= Ch <= 1) hys - fraction of actuator's range over which Ch remains constant when actuator's direction of travel reverses K1 - flow resistance parameter for inlet port 1, when port 1 is open (Ch=1) K2 - flow resistance parameter for inlet port 2, when port 2 is open (Ch=0) MODE - determines port 1 / port 2 inherent characteristics: 0 => linear / linear 1 => exponential / linear 2 => exponential / exponential w1 - mass flow rate at inlet port 1 w2 - mass flow rate at inlet port 2 w3 - mass flow rate at outlet port 3 y - leakage parameter: fractional leakage when DeltaP = 1. Toll - actuator time constant Mathematical Description The relationship between the input control signal, C, and the actuator position, Ca, is defined by: d(Ca)/dt = (C - Ca) / Toll This differential equation is solved by MODSIM, the main HVACSIM+ program, unless the time constant, Toll, is less than one second, in which case the following solution is used: IF (Toll/Deltat) < OR 0.05 | Css - C- | < 10^(-10) THEN Ca = C ELSE Ca = C - (C - Ca-)*exp(-Deltat/Toll) where Ca- is the value of Ca one time step ago. The actuator position differs from the valve position due to hysteresis effects, which are determined by the utility function HYSTER (described in section 3.2 of reference [1]). Ch1 = HYSTER(Ca, hys) Ch2 = 1. - Ch1 The outlet flow rate is the sum of the inlet flow rates, and the outlet temperature is a weighted average of the inlet temperatures: w3 = w1 + w2 T3 = (w1*T1 + w2*T2) / w3 Calculation of the inlet pressures depends upon the mode. Mode = 0: P1 = P3 + sign(w1)*K1*w1^2*[(1 - y)*Ch1 + y]^(-2) P2 = P3 + sign(w2)*K2*w2^2*[(1 - y)*Ch2 + y]^(-2) Mode = 1: P1 = P3 + sign(w1)*K1*w1^2*y^(-2*Ch2) P2 = P3 + sign(w2)*K2*w2^2*[(1 - y)*Ch2 + y]^(-2) Mode = 2: P1 = P3 + sign(w1)*K1*w1^2*y^(-2*Ch2) P2 = P3 + sign(w2)*K2*w2^2*y^(-2*Ch1) Component 515 Configuration InputsDescription 1w1- mass flow rate, inlet port 1 2w2- mass flow rate, inlet port 2 3P3- pressure at outlet 4T1- temperature, inlet port 1 5T2- temperature, inlet port 2 6C- input control signal (0 <= C <= 1) 7Ca- actuator rel...

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