def region_ps(p, s):
"""
Section 3.3 Regions as a function of ps
# function region_ps = region_ps( p, s)
"""
if (p < 0.000611657) or (p > 100) or (s < 0) or (s > Region5.s5_pT(
p, 2273.15)):
# region_ps = 0;
logger.warning('Preasure or Entropy outside valid area')
return 0
# % Check region 5
if s > Region2.s2_pT(p, 1073.15):
if p <= 10:
# region_ps = 5;
return 5
else:
# region_ps = 0;
logger.warning('Preasure outside valid area')
return 0
# % Check region 2
if p > 16.529:
ss = Region2.s2_pT(p, RegionBorders.B23T_p(
p)) # % Between 5.047 & 5.261. Use to speed up !
else:
ss = Region2.s2_pT(p, Region4.T4_p(p))
if s > ss:
# region_ps = 2;
return 2
# % Check region 3
ss = Region1.s1_pT(p, 623.15)
if (p > 16.529) and (s > ss):
if p > RegionBorders.p3sat_s(s):
# region_ps = 3;
return 3
else:
# region_ps = 4;
return 4
# % Check region 4 (Not inside region 3)
if (p < 16.529) and (s > Region1.s1_pT(p, Region4.T4_p(p))):
# region_ps = 4;
return 4
# % Check region 1
if (p > 0.000611657) and (s > Region1.s1_pT(p, 273.15)):
# region_ps = 1
return 1
# region_ps = 1;
return 1
def region_ph(p, h):
"""Section 3.2 Regions as a function of ph
# function region_ph = region_ph( p, h)
"""
# %Check if outside pressure limits
if (p < 0.000611657) or (p > 100):
# region_ph = 0
logger.warning('Preasure outside valid area')
return 0
# %Check if outside low h.
if h < (0.963 * p +
2.2): # %Linear adaption to h1_pt()+2 to speed up calcualations.
if h < Region1.h1_pT(p, 273.15):
# region_ph = 0;
logger.warning('Enthalpy outside valid area')
return 0
if p < 16.5292: # % Bellow region 3, Check region 1, 4, 2, 5
# % Check Region 1
Ts = Region4.T4_p(p)
hL = 109.6635 * math.log(
p) + 40.3481 * p + 734.58 # % Approximate function for hL_p
if math.fabs(
h - hL
) < 100: # % if approximate is not god enough use real function
hL = Region1.h1_pT(p, Ts)
if h <= hL:
# region_ph = 1;
return 1
# % Check Region 4
hV = 45.1768 * math.log(
p) - 20.158 * p + 2804.4 # % Approximate function for hV_p
if math.fabs(
h - hV
) < 50: # % if approximate is not god enough use real function
hV = Region2.h2_pT(p, Ts)
if h < hV:
# region_ph = 4;
return 4
# % Check upper limit of region 2 Quick Test
if h < 4000:
# region_ph = 2;
return 2
# % Check region 2 (Real value)
h_45 = Region2.h2_pT(p, 1073.15)
if h <= h_45:
# region_ph = 2;
return 2
# % Check region 5
if p > 10:
# region_ph = 0;
logger.warning('Preasure outside valid area')
return 0
h_5u = Region5.h5_pT(p, 2273.15)
if h < h_5u:
# region_ph = 5;
return 5
# region_ph = 0;
logger.warning('Enthalpy outside valid area')
return 0
else: # for p > 16.5292
# % Check if in region1
if h < Region1.h1_pT(p, 623.15):
# region_ph = 1;
return 1
# % Check if in region 3 or 4 (Bellow Reg 2)
if h < Region2.h2_pT(p, RegionBorders.B23T_p(p)):
# % Region 3 or 4
if p > RegionBorders.p3sat_h(h):
# region_ph = 3;
return 3
else:
# region_ph = 4;
return 4
# % Check if region 2
if h < Region2.h2_pT(p, 1073.15):
# region_ph = 2;
return 2
# region_ph = 0;
logger.warning('Preasure outside valid area')
return 0
def region_prho(p, rho):
"""
# Section 3.5 Regions as a function of p and rho
# function region_prho = region_prho(p,rho)
"""
v = 1 / rho
if (p < 0.000611657) or (p > 100):
# region_prho = 0;
logger.warning('Preasure outside valid area')
return 0
if p < 16.5292: # %Bellow region 3, Check region 1,4,2
if v < Region1.v1_pT(
p, 273.15
): # %Observe that this is not actually min of v. Not valid Water of 4???C is ligther.
# region_prho = 0;
logger.warning('Specific volume outside valid area')
return 0
if v <= Region1.v1_pT(p, Region4.T4_p(p)):
# region_prho = 1;
return 1
if v < Region2.v2_pT(p, Region4.T4_p(p)):
# region_prho = 4;
return 4
if v <= Region2.v2_pT(p, 1073.15):
# region_prho = 2;
return 2
if p > 10: # %Above region 5
# region_prho = 0;
logger.warning('Preasure outside valid area')
return 0
if v <= Region5.v5_pT(p, 2073.15):
# region_prho = 5;
return 5
else: # %Check region 1,3,4,3,2 (Above the lowest point of region 3.)
if v < Region1.v1_pT(
p, 273.15
): # %Observe that this is not actually min of v. Not valid Water of 4???C is ligther.
# region_prho = 0;
logger.warning('Specific volume outside valid area')
return 0
if v < Region1.v1_pT(p, 623.15):
# region_prho = 1;
return 1
# %Check if in region 3 or 4 (Bellow Reg 2)
if v < Region2.v2_pT(p, RegionBorders.B23T_p(p)):
# %Region 3 or 4
if p > 22.064: # %Above region 4
# region_prho = 3;
return 3
if (v < Region3.v3_ph(p, Region4.h4L_p(p))) or (v > Region3.v3_ph(
p, Region4.h4V_p(p))): # %Uses iteration!!
# region_prho = 3;
return 3
else:
# region_prho = 4;
return 4
# %Check if region 2
if v < Region2.v2_pT(p, 1073.15):
# region_prho = 2;
return 2
# region_prho = 0;
logger.warning('Preasure and Density outside valid area')
return 0
def my_AllRegions_ph(p, h):
""" function my_AllRegions_ph = my_AllRegions_ph(p, h) """
h0 = [0.5132047, 0.3205656, 0, 0, -0.7782567, 0.1885447]
h1 = [0.2151778, 0.7317883, 1.241044, 1.476783, 0, 0]
h2 = [-0.2818107, -1.070786, -1.263184, 0, 0, 0]
h3 = [0.1778064, 0.460504, 0.2340379, -0.4924179, 0, 0]
h4 = [-0.0417661, 0, 0, 0.1600435, 0, 0]
h5 = [0, -0.01578386, 0, 0, 0, 0]
h6 = [0, 0, 0, -0.003629481, 0, 0]
# % Calcualte density.
# switch region_ph(p, h)
if RegionSelection.region_ph(p, h) == 1:
Ts = Region1.T1_ph(p, h)
T = Ts
rho = 1 / Region1.v1_pT(p, Ts)
elif RegionSelection.region_ph(p, h) == 2:
Ts = Region2.T2_ph(p, h)
T = Ts
rho = 1 / Region2.v2_pT(p, Ts)
elif RegionSelection.region_ph(p, h) == 3:
rho = 1 / Region3.v3_ph(p, h)
T = Region3.T3_ph(p, h)
elif RegionSelection.region_ph(p, h) == 4:
xs = Region4.x4_ph(p, h)
if p < 16.529:
v4v = Region2.v2_pT(p, Region4.T4_p(p))
v4L = Region1.v1_pT(p, Region4.T4_p(p))
else:
v4v = Region3.v3_ph(p, Region4.h4V_p(p))
v4L = Region3.v3_ph(p, Region4.h4L_p(p))
rho = 1 / (xs * v4v + (1 - xs) * v4L)
T = Region4.T4_p(p)
elif RegionSelection.region_ph(p, h) == 5:
Ts = Region5.T5_ph(p, h)
T = Ts
rho = 1 / Region5.v5_pT(p, Ts)
else:
# my_AllRegions_ph = NaN;
logger.warning('Region switch returned unknown value')
return float("NaN")
rhos = rho / 317.763
Ts = T / 647.226
# ps = p / 22.115
# % Check valid area
if (T > (900 + 273.15)) or (T > (600 + 273.15) and
(p > 300)) or (T > (150 + 273.15) and
(p > 350)) or (p > 500):
# my_AllRegions_ph = NaN;
return float("NaN")
my0 = Ts**0.5 / (1 + 0.978197 / Ts + 0.579829 / (Ts**2) - 0.202354 /
(Ts**3))
Sum = 0
# TODO:vvvv Check for mistake vvvvv
# Original Code: for i = 0 : 5
# Same Problem as in my_AllRegions_pT, see there for explanation
for i in range(0, 6):
# Sum = Sum + h0(i + 1) * (1 / Ts - 1) ** i + h1(i + 1) * (1 / Ts - 1) ** i * (rhos - 1) ** 1 + h2(i + 1) * (1 / Ts - 1) ** i * (rhos - 1) ** 2 + h3(i + 1) * (1 / Ts - 1) ** i * (rhos - 1) ** 3 + h4(i + 1) * (1 / Ts - 1) ** i * (rhos - 1) ** 4 + h5(i + 1) * (1 / Ts - 1) ** i * (rhos - 1) ** 5 + h6(i + 1) * (1 / Ts - 1) ** i * (rhos - 1) ** 6;
Sum = Sum + h0[i] * (1 / Ts - 1) ** i + \
h1[i] * (1 / Ts - 1) ** i * (rhos - 1) ** 1 + \
h2[i] * (1 / Ts - 1) ** i * (rhos - 1) ** 2 + \
h3[i] * (1 / Ts - 1) ** i * (rhos - 1) ** 3 + \
h4[i] * (1 / Ts - 1) ** i * (rhos - 1) ** 4 + \
h5[i] * (1 / Ts - 1) ** i * (rhos - 1) ** 5 + \
h6[i] * (1 / Ts - 1) ** i * (rhos - 1) ** 6
my1 = math.exp(rhos * Sum)
mys = my0 * my1
return mys * 0.000055071
def my_AllRegions_pT(p, T):
"""
function my_AllRegions_pT = my_AllRegions_pT(p, T)
"""
h0 = [0.5132047, 0.3205656, 0, 0, -0.7782567, 0.1885447]
h1 = [0.2151778, 0.7317883, 1.241044, 1.476783, 0, 0]
h2 = [-0.2818107, -1.070786, -1.263184, 0, 0, 0]
h3 = [0.1778064, 0.460504, 0.2340379, -0.4924179, 0, 0]
h4 = [-0.0417661, 0, 0, 0.1600435, 0, 0]
h5 = [0, -0.01578386, 0, 0, 0, 0]
h6 = [0, 0, 0, -0.003629481, 0, 0]
# %Calcualte density.
# switch region_pT(p, T)
if RegionSelection.region_pT(p, T) == 1:
rho = 1 / Region1.v1_pT(p, T)
elif RegionSelection.region_pT(p, T) == 2:
rho = 1 / Region2.v2_pT(p, T)
elif RegionSelection.region_pT(p, T) == 3:
hs = Region3.h3_pT(p, T)
rho = 1 / Region3.v3_ph(p, hs)
elif RegionSelection.region_pT(p, T) == 4:
logger.warning('Region switch returned unknown value')
return float('NaN')
# rho = NaN
elif RegionSelection.region_pT(p, T) == 5:
rho = 1 / Region5.v5_pT(p, T)
else:
# my_AllRegions_pT = NaN
logger.warning('Region switch returned unknown value')
return float("NaN")
rhos = rho / 317.763
Ts = T / 647.226
# ps = p / 22.115
# % Check valid area
if (T > (900 + 273.15)) or ((T > (600 + 273.15)) and
(p > 300)) or ((T > (150 + 273.15)) and
(p > 350)) or (p > 500):
# my_AllRegions_pT = NaN
logger.warning('Temperature and/or preasure out of range')
return float("NaN")
my0 = Ts**0.5 / (1 + 0.978197 / Ts + 0.579829 / (Ts**2) - 0.202354 /
(Ts**3))
Sum = 0
# TODO:vvvv Check for mistake? vvvvv
# Original Code: for i = 0 : 5
# Matlab: Index of first Element is 1
# Python: Index of first Element is 0 -> Pythonindex = Matlabindex - 1
# Matlab: For-loop: for i = 0 : 5 -> 0, 1, 2, 3, 4, 5
# Python: For-loop: for i in range(0, 5): -> 0, 1, 2, 3, 4
# The IAPWS Document says i=0..5 and j=0..6 , so range(0,6) is correct....
for i in range(0, 6):
# Sum = Sum + h0(i + 1) * (1 / Ts - 1) ** i + h1(i + 1) * (1 / Ts - 1) ** i * (rhos - 1) ** 1 + h2(i + 1) * (1 / Ts - 1) ** i * (rhos - 1) ** 2 + h3(i + 1) * (1 / Ts - 1) ** i * (rhos - 1) ** 3 + h4(i + 1) * (1 / Ts - 1) ** i * (rhos - 1) ** 4 + h5(i + 1) * (1 / Ts - 1) ** i * (rhos - 1) ** 5 + h6(i + 1) * (1 / Ts - 1) ** i * (rhos - 1) ** 6
Sum = Sum + h0[i] * (((1 / Ts) - 1) ** i) + \
h1[i] * (((1 / Ts) - 1) ** i) * ((rhos - 1) ** 1) + \
h2[i] * (((1 / Ts) - 1) ** i) * ((rhos - 1) ** 2) + \
h3[i] * (((1 / Ts) - 1) ** i) * ((rhos - 1) ** 3) + \
h4[i] * (((1 / Ts) - 1) ** i) * ((rhos - 1) ** 4) + \
h5[i] * (((1 / Ts) - 1) ** i) * ((rhos - 1) ** 5) + \
h6[i] * (((1 / Ts) - 1) ** i) * ((rhos - 1) ** 6)
my1 = math.exp(rhos * Sum)
mys = my0 * my1
return mys * 0.000055071