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Fig. 3. FOS maximum seeking algorithm Require: a, b, tol 1: n=N %Given tol find N %Perform the first two experiments Gas cooler %with arguments p and q i.e. f(p); f(q) 2: p=b−Fn−1|b−a| IHX Compressor Fn 3: q=a+Fn−1|b−a| 5: fq=f(q) 6: n=n−1 7: repeat %Perform one experiment with argument p or q 8: if fp > fq then Fn 4: fp=f(p) 9: b=q EXV 10: q=p 11: p = b − Fn−1 |b − a| 12: fq=fp Fn Receiver Evaporator Fig. 4. R744 heat pump configuration. R744 heatpump Fan 13: fp = f(p) 14: else 15: a=p 16: p=q 17: q = a + Fn−1 |b − a| 18: fp=fq Fn 19: fq = f(q) 20: end if 21: n=n−1 22: untiln>2 %Perform last experiment with argument p or q 23: iffp>fqthen 24: b=q 25: q=p 26: p = b − 2 ∗ tol 27: fq = fp 28: fp = f(p) 29: else 30: a=p 31: p=q 32: q = a + 2 ∗ tol 33: fp = fq 34: fq = f(q) 35: end if %Final step evaluating final interval of uncertainty 36: iffp>fqthen 37: b=q 38: else 39: a=p 40: end if 41: return Air valve cabin Vehicle All simulation experiments had the same ambient conditions representing a hot summer day. The ambient air temperature was 40 ◦C and at the start of the experiment the cabin air was at temperature of 58.5◦C and cabin metal mass was 45◦C. The first experiment (Fig. 7) consisted of vehicle cabin cool Solar heat flow air Fig. 5. R744 heat pump with vehicle cabin and HVAC equipment. down to a reference temperature of 26 ◦C and then searching the optimal high-side pressure using Fibonacci method. The temperature setpoint was constant during the simulation and after settling the cabin temperature was almost equal with maximum error of 0.15 ◦C during the optimum searching. The air valve was completely closed, what means that all cabin air was recirculated and no fresh air was supplied into the vehicle cabin. The second experiment was simulated under the same initial conditions as the first one, only the air valve was completely opened (all cabin air was exhausted outside and only fresh air Fresh xˆ = (a − b)/2PDF Image | high-side pressure of R744 automotive heat pump using Fibonacci search
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