如何解决'numpy.float64' 对象不能解释为整数，Python 中的 ODE 求解
我正在做一个热 Simulink 工作，我收到一条错误消息，说“'numpy.float64' 对象不能被解释为一个整数”。我找不到那个错误以及如何解决这个问题。
首先我读取一个文本文档并为初始条件创建一个数组。(ycut)
然后我正在使用“odeint”进行模拟。实际上我正在转换 MATLAB 代码，它具有 ODE45 微分方程求解器。它在 python 中的等价物是 odeint。 我阅读了许多与错误“'numpy.float64' 对象不能被解释为整数”和 odeint 相关的文档，但无法捕获错误。
import numpy as np
import pandas as pd
import matplotlib
from math import sqrt
from scipy.integrate import odeint
ICHG = 1 #charge or ICHG=-1 discharge
print(ICHG)
df2 = pd.read_csv(ycut_file,sep=r'\s{2,}',engine='python',header=None,names=['Value'])
ycut = df2.to_numpy().flatten()
**Output:**
ycut: [-4.000000e+01 5.500000e+02 -4.000000e+01 5.500000e+02 -4.000000e+01
5.500000e+02 -4.000000e+01 5.500000e+02 -4.000000e+01 5.500000e+02
-4.000000e+01 5.500000e+02 -4.000000e+01 5.500000e+02 -4.000000e+01
5.500000e+02 -4.000000e+01 5.500000e+02 -4.000000e+01 5.500000e+02
-4.000000e+01 5.500000e+02 -4.000000e+01 5.500000e+02 -4.000000e+01
5.500000e+02 -4.000000e+01 5.500000e+02 -4.000000e+01 5.500000e+02
-4.000000e+01 5.500000e+02 -4.000000e+01 5.500000e+02 -4.000000e+01
5.500000e+02 -3.999990e+01 5.500001e+02 -3.999980e+01 5.500003e+02
-3.999950e+01 5.500011e+02 -3.999840e+01 5.500034e+02 -3.999540e+01
5.500098e+02 -3.998740e+01 5.500267e+02 -3.996830e+01 5.500675e+02
-3.992660e+01 5.501580e+02 -3.984240e+01 5.503420e+02 -3.968600e+01
5.506877e+02 -3.941640e+01 5.512901e+02 -3.898240e+01 5.522699e+02
-3.832740e+01 5.537646e+02 -3.739550e+01 5.559138e+02 -3.613990e+01
5.588393e+02 -3.453170e+01 5.626245e+02 -3.256610e+01 5.672970e+02
-3.026550e+01 5.728186e+02 -2.767850e+01 5.790859e+02 -2.487450e+01
5.859400e+02 -2.193520e+01 5.931861e+02 -1.894460e+01 6.006170e+02
-1.597890e+01 6.080382e+02 -1.309800e+01 6.152899e+02 -1.034030e+01
6.222625e+02 -7.719300e+00 6.289058e+02 -5.224500e+00 6.352294e+02
-2.824200e+00 6.412981e+02 -4.698000e-01 6.472213e+02 1.899100e+00
6.531412e+02 4.350000e+00 6.592214e+02 6.956000e+00 6.656405e+02
9.798900e+00 6.725974e+02 1.298260e+01 6.803386e+02 1.666380e+01
6.892234e+02 2.110970e+01 6.998522e+02 2.679910e+01 7.132907e+02
3.458400e+01 7.314356e+02 4.593790e+01 7.575796e+02 6.331840e+01
7.972448e+02 9.068090e+01 8.593479e+02 1.355955e+02 9.271171e+02]
def EPCMchg(x,t,NSTAGES,Tf1,Tf2,Tf3,Hf1,Hf2,Hf3,TankD,TankH,deltaz,porosity,dp,Cpf,kf,rhof,Cpb,kb,rhob,ufluid,mdotsaltflow,hotHTF):
#Models an encapsulated Thermal Energy Storage system with multiple salt PCM Assumed salt properties
#for NaNO3 with freezing temp=frzHTF
#(650F),cold HTF fluid from steam generator=coldHTF (550f),and hot temp from solar=hotHTF (1050F).
#Intermediate Calculations of parameters used in differential equations
# Surface area of Tank for calculating Mass veLocity of fluid
pi = 3.14159
atank = pi*TankD*TankD/4 #ft^2
#Volume of each element of height deltaz
deltaV = pi*TankD*TankD*deltaz/4 # ft^3
#Properties of heat transfer fluid used in differential eqns
rhocpf=rhof*Cpf*porosity # btu/ft3/F
#Particle surface area per unit volume ft2/ft3
dparticle=dp/304.8 #[ft] dp mm particle
av=(6/dparticle) #ft2/ft3
#heat transfer coefficnet inside particle (use a simple thermal conductivit/particle radius
hsl0=kb/dparticle #heat transfer coeff particle solid,Btu/h/ft2/F
#heat transfer coefficnet of liquid inside particle (use a simple thermal conductivit/particle radius
#150% of solid to account for convection
hl0=hsl0*1.5 #heat transfer coeff particle liquid,Btu/h/ft2/F
#Input fluid Temperature at top of the tank during charging from the solar field
prevTf= hotHTF #deg F
#Bottom Salt 1 is the bottom,NSTAGES=top
rany =NSTAGES+1
#xdot = np.zeros(rany)
for STAGE in range(rany,-1):
HbSTAGE = x[2*STAGE-1] #Solid Enthalpy (btu/lb)
TfSTAGE = x[2*STAGE] # FLuid Temperature,F
#[ Tf,Hf,dh ] = saltstage( STAGE )
#Bottom Stages
Tf,dh=Tf1,0
#Middle stages
if STAGE > NSTAGES/3:
Tf,dh=Tf3,Cpb*(Tf-Tf1)
#Top stages
if STAGE > 2 * (NSTAGES/3):
Tf,dh=Tf2,Cpb*(Tf-Tf1)
# Determine conditions inside capsules (molten,solid or fractional
#solid
if HbSTAGE<(Hf+dh):
xsolid=1-(HbSTAGE-dh)/Hf #fraction solidification inside capsule
if xsolid<=0:
xsolid=0
else:
xsolid=1
TbSTAGE=Tf
hsl=hsl0/sqrt(xsolid) #heat transfer coeff of solid varies as sqrt of soli farction
hl=hl0/(1-sqrt(xsolid)) #heat transfer coeff of liquid remaining
u=1/((1/ufluid)+(1/hsl)+(1/hl))
uav=u*av
tauconst=(mdotsaltflow*Cpf/atank)/rhocpf #constnts in diff equations
aconst=uav/rhocpf #constnts in diff equations
cconst=uav/rhob/(1-porosity) #constnts in diff equations
#solid cooling
if HbSTAGE<dh:
xsolid=1
TbSTAGE = Tf+(HbSTAGE-dh)/Cpf
hsl=hsl0/sqrt(xsolid)
u=1/((1/ufluid)+(1/hsl))
uav=u*av
tauconst=(mdotsaltflow*Cpf/atank)/rhocpf
aconst=uav/rhocpf
cconst=uav/rhob/(1-porosity)
# sensible heat in liquid free convection hl=90
if HbSTAGE>(Hf+dh):
xsolid=0
TbSTAGE=Tf+(HbSTAGE-Hf-dh)/Cpf
hl=hl0/(1-sqrt(xsolid))
u=1/((1/ufluid)+(1/hl))
uav=u*av
tauconst=(mdotsaltflow*Cpf/atank)/rhocpf
aconst=uav/rhocpf
cconst=uav/rhob/(1-porosity)
xdot[2*STAGE-1] = cconst*(TfSTAGE - TbSTAGE) # capsule enthalpy
xdot[2*STAGE] = tauconst*(prevTf - TfSTAGE)+ aconst * (TbSTAGE-TfSTAGE) #HTF Temp
#PREPARE FOR NEXT STAGE :
prevTf = TfSTAGE
xs[STAGE]=xsolid
xs4=xs
xdot = xdot
return xs4,xdot;
## Start simulation:
t_final=4.0
tspan = np.linspace(0,t_final)
tspan
**Output:**
<class 'numpy.ndarray'>
array([0.,0.08163265,0.16326531,0.24489796,0.32653061,0.40816327,0.48979592,0.57142857,0.65306122,0.73469388,0.81632653,0.89795918,0.97959184,1.06122449,1.14285714,1.2244898,1.30612245,1.3877551,1.46938776,1.55102041,1.63265306,1.71428571,1.79591837,1.87755102,1.95918367,2.04081633,2.12244898,2.20408163,2.28571429,2.36734694,2.44897959,2.53061224,2.6122449,2.69387755,2.7755102,2.85714286,2.93877551,3.02040816,3.10204082,3.18367347,3.26530612,3.34693878,3.42857143,3.51020408,3.59183673,3.67346939,3.75510204,3.83673469,3.91836735,4. ])
if ICHG == 1:
[tchg,ychg]=odeint(EPCMchg,ycut,tspan,args=(NSTAGES,hotHTF))
plt.plot(tchg,ychg)
plt.show()
**Output:**
---------------------------------------------------------------------------
TypeError Traceback (most recent call last)
<ipython-input-13-4b38269782f5> in <module>
1 #call ode45 with function EPCMchg to charge
2 if ICHG == 1:
----> 3 [tchg,hotHTF))
4 plt.plot(tchg,ychg)
5 plt.show()
C:\ProgramData\Anaconda3\lib\site-packages\scipy\integrate\odepack.py in odeint(func,y0,args,Dfun,col_deriv,full_output,ml,mu,rtol,atol,tcrit,h0,hmax,hmin,ixpr,mxstep,mxhnil,mxordn,mxords,printmessg,tfirst)
239 t = copy(t)
240 y0 = copy(y0)
--> 241 output = _odepack.odeint(func,242 full_output,243 ixpr,<ipython-input-11-6746119c69d3> in EPCMchg(x,hotHTF)
26 rany =NSTAGES+1
27 #xdot = np.zeros(rany)
---> 28 for STAGE in range(rany,-1):
29 HbSTAGE = x[2*STAGE-1] #Solid Enthalpy (btu/lb)
30 TfSTAGE = x[2*STAGE] # FLuid Temperature,F
TypeError: 'numpy.float64' object cannot be interpreted as an integer
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