- quantityQuantity to get
C++ Type:MooseEnum
Controllable:No
Description:Quantity to get
- shaft_connected_component_uoShaft-connected component user object
C++ Type:UserObjectName
Controllable:No
Description:Shaft-connected component user object
ShaftConnectedComponentPostprocessor
This post-processor gets either the torque or the moment of inertia of a component connected to a Shaft.
Input Parameters
- allow_duplicate_execution_on_initialFalseIn the case where this UserObject is depended upon by an initial condition, allow it to be executed twice during the initial setup (once before the IC and again after mesh adaptivity (if applicable).
Default:False
C++ Type:bool
Controllable:No
Description:In the case where this UserObject is depended upon by an initial condition, allow it to be executed twice during the initial setup (once before the IC and again after mesh adaptivity (if applicable).
- execute_onTIMESTEP_ENDThe list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html.
Default:TIMESTEP_END
C++ Type:ExecFlagEnum
Options:XFEM_MARK, FORWARD, ADJOINT, HOMOGENEOUS_FORWARD, ADJOINT_TIMESTEP_BEGIN, ADJOINT_TIMESTEP_END, NONE, INITIAL, LINEAR, LINEAR_CONVERGENCE, NONLINEAR, NONLINEAR_CONVERGENCE, POSTCHECK, TIMESTEP_END, TIMESTEP_BEGIN, MULTIAPP_FIXED_POINT_END, MULTIAPP_FIXED_POINT_BEGIN, MULTIAPP_FIXED_POINT_CONVERGENCE, FINAL, CUSTOM, TRANSFER
Controllable:No
Description:The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html.
- execution_order_group0Execution order groups are executed in increasing order (e.g., the lowest number is executed first). Note that negative group numbers may be used to execute groups before the default (0) group. Please refer to the user object documentation for ordering of user object execution within a group.
Default:0
C++ Type:int
Controllable:No
Description:Execution order groups are executed in increasing order (e.g., the lowest number is executed first). Note that negative group numbers may be used to execute groups before the default (0) group. Please refer to the user object documentation for ordering of user object execution within a group.
- force_postauxFalseForces the UserObject to be executed in POSTAUX
Default:False
C++ Type:bool
Controllable:No
Description:Forces the UserObject to be executed in POSTAUX
- force_preauxFalseForces the UserObject to be executed in PREAUX
Default:False
C++ Type:bool
Controllable:No
Description:Forces the UserObject to be executed in PREAUX
- force_preicFalseForces the UserObject to be executed in PREIC during initial setup
Default:False
C++ Type:bool
Controllable:No
Description:Forces the UserObject to be executed in PREIC during initial setup
Execution Scheduling Parameters
- control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector<std::string>
Controllable:No
Description:Adds user-defined labels for accessing object parameters via control logic.
- enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Controllable:Yes
Description:Set the enabled status of the MooseObject.
- outputsVector of output names where you would like to restrict the output of variables(s) associated with this object
C++ Type:std::vector<OutputName>
Controllable:No
Description:Vector of output names where you would like to restrict the output of variables(s) associated with this object
- use_displaced_meshFalseWhether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Default:False
C++ Type:bool
Controllable:No
Description:Whether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Advanced Parameters
- prop_getter_suffixAn optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
C++ Type:MaterialPropertyName
Unit:(no unit assumed)
Controllable:No
Description:An optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
- use_interpolated_stateFalseFor the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.
Default:False
C++ Type:bool
Controllable:No
Description:For the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.
Material Property Retrieval Parameters
Input Files
- (modules/thermal_hydraulics/test/tests/problems/brayton_cycle/open_brayton_cycle.i)
- (modules/thermal_hydraulics/test/tests/problems/brayton_cycle/closed_brayton_cycle.i)
- (modules/thermal_hydraulics/test/tests/postprocessors/shaft_connected_component_postprocessor/shaft_connected_component_postprocessor.i)
- (modules/thermal_hydraulics/test/tests/problems/brayton_cycle/recuperated_brayton_cycle.i)
References
No citations exist within this document.(modules/thermal_hydraulics/test/tests/problems/brayton_cycle/open_brayton_cycle.i)
# This input file is used to demonstrate a simple open-air Brayton cycle using
# a compressor, turbine, shaft, motor, and generator.
# The flow length is divided into 5 segments as illustrated below, where
# - "(I)" denotes the inlet
# - "(C)" denotes the compressor
# - "(T)" denotes the turbine
# - "(O)" denotes the outlet
# - "*" denotes a fictitious junction
#
# Heated section
# (I)-----(C)-----*--------------*-----(T)-----(O)
# 1 2 3 4 5
#
# Initially the fluid is at rest at ambient conditions, the shaft speed is zero,
# and no heat transfer occurs with the system.
# The transient is controlled as follows:
# * 0 - 100 s: motor ramps up torque linearly from zero
# * 100 - 200 s: motor ramps down torque linearly to zero, HTC ramps up linearly from zero.
# * 200 - 300 s: (no changes; should approach steady condition)
I_motor = 1.0
motor_torque_max = 400.0
I_generator = 1.0
generator_torque_per_shaft_speed = -0.00025
motor_ramp_up_duration = 100.0
motor_ramp_down_duration = 100.0
post_motor_time = 100.0
t1 = ${motor_ramp_up_duration}
t2 = ${fparse t1 + motor_ramp_down_duration}
t3 = ${fparse t2 + post_motor_time}
D1 = 0.15
D2 = ${D1}
D3 = ${D1}
D4 = ${D1}
D5 = ${D1}
A1 = ${fparse 0.25 * pi * D1^2}
A2 = ${fparse 0.25 * pi * D2^2}
A3 = ${fparse 0.25 * pi * D3^2}
A4 = ${fparse 0.25 * pi * D4^2}
A5 = ${fparse 0.25 * pi * D5^2}
L1 = 10.0
L2 = ${L1}
L3 = ${L1}
L4 = ${L1}
L5 = ${L1}
x1 = 0.0
x2 = ${fparse x1 + L1}
x3 = ${fparse x2 + L2}
x4 = ${fparse x3 + L3}
x5 = ${fparse x4 + L4}
x2_minus = ${fparse x2 - 0.001}
x2_plus = ${fparse x2 + 0.001}
x5_minus = ${fparse x5 - 0.001}
x5_plus = ${fparse x5 + 0.001}
n_elems1 = 10
n_elems2 = ${n_elems1}
n_elems3 = ${n_elems1}
n_elems4 = ${n_elems1}
n_elems5 = ${n_elems1}
A_ref_comp = ${fparse 0.5 * (A1 + A2)}
V_comp = ${fparse A_ref_comp * 1.0}
I_comp = 1.0
A_ref_turb = ${fparse 0.5 * (A4 + A5)}
V_turb = ${fparse A_ref_turb * 1.0}
I_turb = 1.0
c0_rated_comp = 351.6925137
rho0_rated_comp = 1.146881112
rated_mfr = 0.25
speed_rated_rpm = 96000
speed_rated = ${fparse speed_rated_rpm * 2 * pi / 60.0}
speed_initial = 0
eff_comp = 0.79
eff_turb = 0.843
T_hot = 1000
T_ambient = 300
p_ambient = 1e5
[GlobalParams]
orientation = '1 0 0'
gravity_vector = '0 0 0'
initial_p = ${p_ambient}
initial_T = ${T_ambient}
initial_vel = 0
initial_vel_x = 0
initial_vel_y = 0
initial_vel_z = 0
fp = fp_air
closures = closures
f = 0
scaling_factor_1phase = '1 1 1e-5'
scaling_factor_rhoV = 1
scaling_factor_rhouV = 1
scaling_factor_rhovV = 1
scaling_factor_rhowV = 1
scaling_factor_rhoEV = 1e-5
rdg_slope_reconstruction = none
[]
[Functions]
[motor_torque_fn]
type = PiecewiseLinear
x = '0 ${t1} ${t2}'
y = '0 ${motor_torque_max} 0'
[]
[motor_power_fn]
type = ParsedFunction
expression = 'torque * speed'
symbol_names = 'torque speed'
symbol_values = 'motor_torque shaft:omega'
[]
[generator_torque_fn]
type = ParsedFunction
expression = 'slope * t'
symbol_names = 'slope'
symbol_values = '${generator_torque_per_shaft_speed}'
[]
[generator_power_fn]
type = ParsedFunction
expression = 'torque * speed'
symbol_names = 'torque speed'
symbol_values = 'generator_torque shaft:omega'
[]
[htc_wall_fn]
type = PiecewiseLinear
x = '0 ${t1} ${t2}'
y = '0 0 1e3'
[]
[]
[FluidProperties]
[fp_air]
type = IdealGasFluidProperties
emit_on_nan = none
[]
[]
[Closures]
[closures]
type = Closures1PhaseSimple
[]
[]
[Components]
[shaft]
type = Shaft
connected_components = 'motor compressor turbine generator'
initial_speed = ${speed_initial}
[]
[motor]
type = ShaftConnectedMotor
inertia = ${I_motor}
torque = 0 # controlled
[]
[generator]
type = ShaftConnectedMotor
inertia = ${I_generator}
torque = generator_torque_fn
[]
[inlet]
type = InletStagnationPressureTemperature1Phase
input = 'pipe1:in'
p0 = ${p_ambient}
T0 = ${T_ambient}
[]
[pipe1]
type = FlowChannel1Phase
position = '${x1} 0 0'
length = ${L1}
n_elems = ${n_elems1}
A = ${A1}
[]
[compressor]
type = ShaftConnectedCompressor1Phase
position = '${x2} 0 0'
inlet = 'pipe1:out'
outlet = 'pipe2:in'
A_ref = ${A_ref_comp}
volume = ${V_comp}
omega_rated = ${speed_rated}
mdot_rated = ${rated_mfr}
c0_rated = ${c0_rated_comp}
rho0_rated = ${rho0_rated_comp}
speeds = '0.5208 0.6250 0.7292 0.8333 0.9375'
Rp_functions = 'rp_comp1 rp_comp2 rp_comp3 rp_comp4 rp_comp5'
eff_functions = 'eff_comp1 eff_comp2 eff_comp3 eff_comp4 eff_comp5'
min_pressure_ratio = 1.0
speed_cr_I = 0
inertia_const = ${I_comp}
inertia_coeff = '${I_comp} 0 0 0'
# assume no shaft friction
speed_cr_fr = 0
tau_fr_const = 0
tau_fr_coeff = '0 0 0 0'
[]
[pipe2]
type = FlowChannel1Phase
position = '${x2} 0 0'
length = ${L2}
n_elems = ${n_elems2}
A = ${A2}
[]
[junction2_3]
type = JunctionOneToOne1Phase
connections = 'pipe2:out pipe3:in'
[]
[pipe3]
type = FlowChannel1Phase
position = '${x3} 0 0'
length = ${L3}
n_elems = ${n_elems3}
A = ${A3}
[]
[junction3_4]
type = JunctionOneToOne1Phase
connections = 'pipe3:out pipe4:in'
[]
[pipe4]
type = FlowChannel1Phase
position = '${x4} 0 0'
length = ${L4}
n_elems = ${n_elems4}
A = ${A4}
[]
[turbine]
type = ShaftConnectedCompressor1Phase
position = '${x5} 0 0'
inlet = 'pipe4:out'
outlet = 'pipe5:in'
A_ref = ${A_ref_turb}
volume = ${V_turb}
treat_as_turbine = true
omega_rated = ${speed_rated}
mdot_rated = ${rated_mfr}
c0_rated = ${c0_rated_comp}
rho0_rated = ${rho0_rated_comp}
speeds = '0 0.5208 0.6250 0.7292 0.8333 0.9375'
Rp_functions = 'rp_turb0 rp_turb1 rp_turb2 rp_turb3 rp_turb4 rp_turb5'
eff_functions = 'eff_turb1 eff_turb1 eff_turb2 eff_turb3 eff_turb4 eff_turb5'
min_pressure_ratio = 1.0
speed_cr_I = 0
inertia_const = ${I_turb}
inertia_coeff = '${I_turb} 0 0 0'
# assume no shaft friction
speed_cr_fr = 0
tau_fr_const = 0
tau_fr_coeff = '0 0 0 0'
[]
[pipe5]
type = FlowChannel1Phase
position = '${x5} 0 0'
length = ${L5}
n_elems = ${n_elems5}
A = ${A5}
[]
[outlet]
type = Outlet1Phase
input = 'pipe5:out'
p = ${p_ambient}
[]
[heating]
type = HeatTransferFromSpecifiedTemperature1Phase
flow_channel = pipe3
T_wall = ${T_hot}
Hw = htc_wall_fn
[]
[]
[ControlLogic]
[motor_ctrl]
type = TimeFunctionComponentControl
component = motor
parameter = torque
function = motor_torque_fn
[]
[]
[Postprocessors]
[heating_rate]
type = ADHeatRateConvection1Phase
block = 'pipe3'
T = T
T_wall = T_wall
Hw = Hw
P_hf = P_hf
execute_on = 'INITIAL TIMESTEP_END'
[]
[motor_torque]
type = RealComponentParameterValuePostprocessor
component = motor
parameter = torque
execute_on = 'INITIAL TIMESTEP_END'
[]
[motor_power]
type = FunctionValuePostprocessor
function = motor_power_fn
execute_on = 'INITIAL TIMESTEP_END'
indirect_dependencies = 'motor_torque shaft:omega'
[]
[generator_torque]
type = ShaftConnectedComponentPostprocessor
quantity = torque
shaft_connected_component_uo = generator:shaftconnected_uo
execute_on = 'INITIAL TIMESTEP_END'
[]
[generator_power]
type = FunctionValuePostprocessor
function = generator_power_fn
execute_on = 'INITIAL TIMESTEP_END'
indirect_dependencies = 'generator_torque shaft:omega'
[]
[shaft_speed]
type = ScalarVariable
variable = 'shaft:omega'
execute_on = 'INITIAL TIMESTEP_END'
[]
[p_in_comp]
type = PointValue
variable = p
point = '${x2_minus} 0 0'
execute_on = 'INITIAL TIMESTEP_END'
[]
[p_out_comp]
type = PointValue
variable = p
point = '${x2_plus} 0 0'
execute_on = 'INITIAL TIMESTEP_END'
[]
[p_ratio_comp]
type = ParsedPostprocessor
pp_names = 'p_in_comp p_out_comp'
expression = 'p_out_comp / p_in_comp'
execute_on = 'INITIAL TIMESTEP_END'
[]
[p_in_turb]
type = PointValue
variable = p
point = '${x5_minus} 0 0'
execute_on = 'INITIAL TIMESTEP_END'
[]
[p_out_turb]
type = PointValue
variable = p
point = '${x5_plus} 0 0'
execute_on = 'INITIAL TIMESTEP_END'
[]
[p_ratio_turb]
type = ParsedPostprocessor
pp_names = 'p_in_turb p_out_turb'
expression = 'p_in_turb / p_out_turb'
execute_on = 'INITIAL TIMESTEP_END'
[]
[mfr_comp]
type = ADFlowJunctionFlux1Phase
boundary = pipe1:out
connection_index = 0
equation = mass
junction = compressor
[]
[mfr_turb]
type = ADFlowJunctionFlux1Phase
boundary = pipe4:out
connection_index = 0
equation = mass
junction = turbine
[]
[]
[Preconditioning]
[pc]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
scheme = 'bdf2'
end_time = ${t3}
dt = 0.1
abort_on_solve_fail = true
solve_type = NEWTON
nl_rel_tol = 1e-50
nl_abs_tol = 1e-11
nl_max_its = 15
l_tol = 1e-4
l_max_its = 10
[]
[Outputs]
[csv]
type = CSV
file_base = 'open_brayton_cycle'
execute_vector_postprocessors_on = 'INITIAL'
[]
[console]
type = Console
show = 'shaft_speed p_ratio_comp p_ratio_turb compressor:pressure_ratio turbine:pressure_ratio'
[]
[]
[Functions]
# compressor pressure ratio
[rp_comp1]
type = PiecewiseLinear
data_file = 'rp_comp1.csv'
x_index_in_file = 0
y_index_in_file = 1
format = columns
extrap = true
[]
[rp_comp2]
type = PiecewiseLinear
data_file = 'rp_comp2.csv'
x_index_in_file = 0
y_index_in_file = 1
format = columns
extrap = true
[]
[rp_comp3]
type = PiecewiseLinear
data_file = 'rp_comp3.csv'
x_index_in_file = 0
y_index_in_file = 1
format = columns
extrap = true
[]
[rp_comp4]
type = PiecewiseLinear
data_file = 'rp_comp4.csv'
x_index_in_file = 0
y_index_in_file = 1
format = columns
extrap = true
[]
[rp_comp5]
type = PiecewiseLinear
data_file = 'rp_comp5.csv'
x_index_in_file = 0
y_index_in_file = 1
format = columns
extrap = true
[]
# compressor efficiency
[eff_comp1]
type = ConstantFunction
value = ${eff_comp}
[]
[eff_comp2]
type = ConstantFunction
value = ${eff_comp}
[]
[eff_comp3]
type = ConstantFunction
value = ${eff_comp}
[]
[eff_comp4]
type = ConstantFunction
value = ${eff_comp}
[]
[eff_comp5]
type = ConstantFunction
value = ${eff_comp}
[]
# turbine pressure ratio
[rp_turb0]
type = ConstantFunction
value = 1
[]
[rp_turb1]
type = PiecewiseLinear
data_file = 'rp_turb1.csv'
x_index_in_file = 0
y_index_in_file = 1
format = columns
extrap = true
[]
[rp_turb2]
type = PiecewiseLinear
data_file = 'rp_turb2.csv'
x_index_in_file = 0
y_index_in_file = 1
format = columns
extrap = true
[]
[rp_turb3]
type = PiecewiseLinear
data_file = 'rp_turb3.csv'
x_index_in_file = 0
y_index_in_file = 1
format = columns
extrap = true
[]
[rp_turb4]
type = PiecewiseLinear
data_file = 'rp_turb4.csv'
x_index_in_file = 0
y_index_in_file = 1
format = columns
extrap = true
[]
[rp_turb5]
type = PiecewiseLinear
data_file = 'rp_turb5.csv'
x_index_in_file = 0
y_index_in_file = 1
format = columns
extrap = true
[]
# turbine efficiency
[eff_turb1]
type = ConstantFunction
value = ${eff_turb}
[]
[eff_turb2]
type = ConstantFunction
value = ${eff_turb}
[]
[eff_turb3]
type = ConstantFunction
value = ${eff_turb}
[]
[eff_turb4]
type = ConstantFunction
value = ${eff_turb}
[]
[eff_turb5]
type = ConstantFunction
value = ${eff_turb}
[]
[]
(modules/thermal_hydraulics/test/tests/problems/brayton_cycle/closed_brayton_cycle.i)
# This input file is used to demonstrate a simple closed, air Brayton cycle using
# a compressor, turbine, shaft, motor, and generator.
# The flow length is divided into 6 segments as illustrated below, where
# - "(C)" denotes the compressor
# - "(T)" denotes the turbine
# - "*" denotes a fictitious junction
#
# Heated section Cooled section
# *-----(C)-----*--------------*-----(T)-----*--------------*
# 1 2 3 4 5 6
#
# Initially the fluid is at rest at ambient conditions, the shaft speed is zero,
# and no heat transfer occurs with the system.
# The transient is controlled as follows:
# * 0 - 100 s: motor ramps up torque linearly from zero
# * 100 - 200 s: motor ramps down torque linearly to zero, HTC ramps up linearly from zero.
# * 200 - 300 s: (no changes; should approach steady condition)
I_motor = 1.0
motor_torque_max = 400.0
I_generator = 1.0
generator_torque_per_shaft_speed = -0.00025
motor_ramp_up_duration = 100.0
motor_ramp_down_duration = 100.0
post_motor_time = 100.0
t1 = ${motor_ramp_up_duration}
t2 = ${fparse t1 + motor_ramp_down_duration}
t3 = ${fparse t2 + post_motor_time}
D1 = 0.15
D2 = ${D1}
D3 = ${D1}
D4 = ${D1}
D5 = ${D1}
D6 = ${D1}
A1 = ${fparse 0.25 * pi * D1^2}
A2 = ${fparse 0.25 * pi * D2^2}
A3 = ${fparse 0.25 * pi * D3^2}
A4 = ${fparse 0.25 * pi * D4^2}
A5 = ${fparse 0.25 * pi * D5^2}
A6 = ${fparse 0.25 * pi * D6^2}
L1 = 10.0
L2 = ${L1}
L3 = ${L1}
L4 = ${L1}
L5 = ${L1}
L6 = ${L1}
x1 = 0.0
x2 = ${fparse x1 + L1}
x3 = ${fparse x2 + L2}
x4 = ${fparse x3 + L3}
x5 = ${fparse x4 + L4}
x6 = ${fparse x5 + L5}
x2_minus = ${fparse x2 - 0.001}
x2_plus = ${fparse x2 + 0.001}
x5_minus = ${fparse x5 - 0.001}
x5_plus = ${fparse x5 + 0.001}
n_elems1 = 10
n_elems2 = ${n_elems1}
n_elems3 = ${n_elems1}
n_elems4 = ${n_elems1}
n_elems5 = ${n_elems1}
n_elems6 = ${n_elems1}
A_ref_comp = ${fparse 0.5 * (A1 + A2)}
V_comp = ${fparse A_ref_comp * 1.0}
I_comp = 1.0
A_ref_turb = ${fparse 0.5 * (A4 + A5)}
V_turb = ${fparse A_ref_turb * 1.0}
I_turb = 1.0
c0_rated_comp = 351.6925137
rho0_rated_comp = 1.146881112
rated_mfr = 0.25
speed_rated_rpm = 96000
speed_rated = ${fparse speed_rated_rpm * 2 * pi / 60.0}
speed_initial = 0
eff_comp = 0.79
eff_turb = 0.843
T_hot = 1000
T_cold = 300
T_ambient = 300
p_ambient = 1e5
[GlobalParams]
orientation = '1 0 0'
gravity_vector = '0 0 0'
initial_p = ${p_ambient}
initial_T = ${T_ambient}
initial_vel = 0
initial_vel_x = 0
initial_vel_y = 0
initial_vel_z = 0
fp = fp_air
closures = closures
f = 0
scaling_factor_1phase = '1 1 1e-5'
scaling_factor_rhoV = 1
scaling_factor_rhouV = 1
scaling_factor_rhovV = 1
scaling_factor_rhowV = 1
scaling_factor_rhoEV = 1e-5
rdg_slope_reconstruction = none
[]
[Functions]
[motor_torque_fn]
type = PiecewiseLinear
x = '0 ${t1} ${t2}'
y = '0 ${motor_torque_max} 0'
[]
[motor_power_fn]
type = ParsedFunction
expression = 'torque * speed'
symbol_names = 'torque speed'
symbol_values = 'motor_torque shaft:omega'
[]
[generator_torque_fn]
type = ParsedFunction
expression = 'slope * t'
symbol_names = 'slope'
symbol_values = '${generator_torque_per_shaft_speed}'
[]
[generator_power_fn]
type = ParsedFunction
expression = 'torque * speed'
symbol_names = 'torque speed'
symbol_values = 'generator_torque shaft:omega'
[]
[htc_wall_fn]
type = PiecewiseLinear
x = '0 ${t1} ${t2}'
y = '0 0 1e3'
[]
[]
[FluidProperties]
[fp_air]
type = IdealGasFluidProperties
emit_on_nan = none
[]
[]
[Closures]
[closures]
type = Closures1PhaseSimple
[]
[]
[Components]
[shaft]
type = Shaft
connected_components = 'motor compressor turbine generator'
initial_speed = ${speed_initial}
[]
[motor]
type = ShaftConnectedMotor
inertia = ${I_motor}
torque = 0 # controlled
[]
[generator]
type = ShaftConnectedMotor
inertia = ${I_generator}
torque = generator_torque_fn
[]
[pipe1]
type = FlowChannel1Phase
position = '${x1} 0 0'
length = ${L1}
n_elems = ${n_elems1}
A = ${A1}
[]
[compressor]
type = ShaftConnectedCompressor1Phase
position = '${x2} 0 0'
inlet = 'pipe1:out'
outlet = 'pipe2:in'
A_ref = ${A_ref_comp}
volume = ${V_comp}
omega_rated = ${speed_rated}
mdot_rated = ${rated_mfr}
c0_rated = ${c0_rated_comp}
rho0_rated = ${rho0_rated_comp}
speeds = '0.5208 0.6250 0.7292 0.8333 0.9375'
Rp_functions = 'rp_comp1 rp_comp2 rp_comp3 rp_comp4 rp_comp5'
eff_functions = 'eff_comp1 eff_comp2 eff_comp3 eff_comp4 eff_comp5'
min_pressure_ratio = 1.0
speed_cr_I = 0
inertia_const = ${I_comp}
inertia_coeff = '${I_comp} 0 0 0'
# assume no shaft friction
speed_cr_fr = 0
tau_fr_const = 0
tau_fr_coeff = '0 0 0 0'
[]
[pipe2]
type = FlowChannel1Phase
position = '${x2} 0 0'
length = ${L2}
n_elems = ${n_elems2}
A = ${A2}
[]
[junction2_3]
type = JunctionOneToOne1Phase
connections = 'pipe2:out pipe3:in'
[]
[pipe3]
type = FlowChannel1Phase
position = '${x3} 0 0'
length = ${L3}
n_elems = ${n_elems3}
A = ${A3}
[]
[junction3_4]
type = JunctionOneToOne1Phase
connections = 'pipe3:out pipe4:in'
[]
[pipe4]
type = FlowChannel1Phase
position = '${x4} 0 0'
length = ${L4}
n_elems = ${n_elems4}
A = ${A4}
[]
[turbine]
type = ShaftConnectedCompressor1Phase
position = '${x5} 0 0'
inlet = 'pipe4:out'
outlet = 'pipe5:in'
A_ref = ${A_ref_turb}
volume = ${V_turb}
treat_as_turbine = true
omega_rated = ${speed_rated}
mdot_rated = ${rated_mfr}
c0_rated = ${c0_rated_comp}
rho0_rated = ${rho0_rated_comp}
speeds = '0 0.5208 0.6250 0.7292 0.8333 0.9375'
Rp_functions = 'rp_turb0 rp_turb1 rp_turb2 rp_turb3 rp_turb4 rp_turb5'
eff_functions = 'eff_turb1 eff_turb1 eff_turb2 eff_turb3 eff_turb4 eff_turb5'
min_pressure_ratio = 1.0
speed_cr_I = 0
inertia_const = ${I_turb}
inertia_coeff = '${I_turb} 0 0 0'
# assume no shaft friction
speed_cr_fr = 0
tau_fr_const = 0
tau_fr_coeff = '0 0 0 0'
[]
[pipe5]
type = FlowChannel1Phase
position = '${x5} 0 0'
length = ${L5}
n_elems = ${n_elems5}
A = ${A5}
[]
[junction5_6]
type = JunctionOneToOne1Phase
connections = 'pipe5:out pipe6:in'
[]
[pipe6]
type = FlowChannel1Phase
position = '${x6} 0 0'
length = ${L6}
n_elems = ${n_elems6}
A = ${A6}
[]
[junction6_1]
type = JunctionOneToOne1Phase
connections = 'pipe6:out pipe1:in'
[]
[heating]
type = HeatTransferFromSpecifiedTemperature1Phase
flow_channel = pipe3
T_wall = ${T_hot}
Hw = htc_wall_fn
[]
[cooling]
type = HeatTransferFromSpecifiedTemperature1Phase
flow_channel = pipe6
T_wall = ${T_cold}
Hw = htc_wall_fn
[]
[]
[ControlLogic]
[motor_ctrl]
type = TimeFunctionComponentControl
component = motor
parameter = torque
function = motor_torque_fn
[]
[]
[Postprocessors]
[heating_rate]
type = ADHeatRateConvection1Phase
block = 'pipe3'
T = T
T_wall = T_wall
Hw = Hw
P_hf = P_hf
execute_on = 'INITIAL TIMESTEP_END'
[]
[cooling_rate]
type = ADHeatRateConvection1Phase
block = 'pipe6'
T = T
T_wall = T_wall
Hw = Hw
P_hf = P_hf
execute_on = 'INITIAL TIMESTEP_END'
[]
[motor_torque]
type = RealComponentParameterValuePostprocessor
component = motor
parameter = torque
execute_on = 'INITIAL TIMESTEP_END'
[]
[motor_power]
type = FunctionValuePostprocessor
function = motor_power_fn
execute_on = 'INITIAL TIMESTEP_END'
indirect_dependencies = 'motor_torque shaft:omega'
[]
[generator_torque]
type = ShaftConnectedComponentPostprocessor
quantity = torque
shaft_connected_component_uo = generator:shaftconnected_uo
execute_on = 'INITIAL TIMESTEP_END'
[]
[generator_power]
type = FunctionValuePostprocessor
function = generator_power_fn
execute_on = 'INITIAL TIMESTEP_END'
indirect_dependencies = 'generator_torque shaft:omega'
[]
[shaft_speed]
type = ScalarVariable
variable = 'shaft:omega'
execute_on = 'INITIAL TIMESTEP_END'
[]
[p_in_comp]
type = PointValue
variable = p
point = '${x2_minus} 0 0'
execute_on = 'INITIAL TIMESTEP_END'
[]
[p_out_comp]
type = PointValue
variable = p
point = '${x2_plus} 0 0'
execute_on = 'INITIAL TIMESTEP_END'
[]
[p_ratio_comp]
type = ParsedPostprocessor
pp_names = 'p_in_comp p_out_comp'
expression = 'p_out_comp / p_in_comp'
execute_on = 'INITIAL TIMESTEP_END'
[]
[p_in_turb]
type = PointValue
variable = p
point = '${x5_minus} 0 0'
execute_on = 'INITIAL TIMESTEP_END'
[]
[p_out_turb]
type = PointValue
variable = p
point = '${x5_plus} 0 0'
execute_on = 'INITIAL TIMESTEP_END'
[]
[p_ratio_turb]
type = ParsedPostprocessor
pp_names = 'p_in_turb p_out_turb'
expression = 'p_in_turb / p_out_turb'
execute_on = 'INITIAL TIMESTEP_END'
[]
[mfr_comp]
type = ADFlowJunctionFlux1Phase
boundary = pipe1:out
connection_index = 0
equation = mass
junction = compressor
[]
[mfr_turb]
type = ADFlowJunctionFlux1Phase
boundary = pipe4:out
connection_index = 0
equation = mass
junction = turbine
[]
[]
[Preconditioning]
[pc]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
scheme = 'bdf2'
end_time = ${t3}
dt = 0.1
abort_on_solve_fail = true
solve_type = NEWTON
nl_rel_tol = 1e-50
nl_abs_tol = 1e-11
nl_max_its = 15
l_tol = 1e-4
l_max_its = 10
[]
[Outputs]
[csv]
type = CSV
file_base = 'closed_brayton_cycle'
execute_vector_postprocessors_on = 'INITIAL'
[]
[console]
type = Console
show = 'shaft_speed p_ratio_comp p_ratio_turb compressor:pressure_ratio turbine:pressure_ratio'
[]
[]
[Functions]
# compressor pressure ratio
[rp_comp1]
type = PiecewiseLinear
data_file = 'rp_comp1.csv'
x_index_in_file = 0
y_index_in_file = 1
format = columns
extrap = true
[]
[rp_comp2]
type = PiecewiseLinear
data_file = 'rp_comp2.csv'
x_index_in_file = 0
y_index_in_file = 1
format = columns
extrap = true
[]
[rp_comp3]
type = PiecewiseLinear
data_file = 'rp_comp3.csv'
x_index_in_file = 0
y_index_in_file = 1
format = columns
extrap = true
[]
[rp_comp4]
type = PiecewiseLinear
data_file = 'rp_comp4.csv'
x_index_in_file = 0
y_index_in_file = 1
format = columns
extrap = true
[]
[rp_comp5]
type = PiecewiseLinear
data_file = 'rp_comp5.csv'
x_index_in_file = 0
y_index_in_file = 1
format = columns
extrap = true
[]
# compressor efficiency
[eff_comp1]
type = ConstantFunction
value = ${eff_comp}
[]
[eff_comp2]
type = ConstantFunction
value = ${eff_comp}
[]
[eff_comp3]
type = ConstantFunction
value = ${eff_comp}
[]
[eff_comp4]
type = ConstantFunction
value = ${eff_comp}
[]
[eff_comp5]
type = ConstantFunction
value = ${eff_comp}
[]
# turbine pressure ratio
[rp_turb0]
type = ConstantFunction
value = 1
[]
[rp_turb1]
type = PiecewiseLinear
data_file = 'rp_turb1.csv'
x_index_in_file = 0
y_index_in_file = 1
format = columns
extrap = true
[]
[rp_turb2]
type = PiecewiseLinear
data_file = 'rp_turb2.csv'
x_index_in_file = 0
y_index_in_file = 1
format = columns
extrap = true
[]
[rp_turb3]
type = PiecewiseLinear
data_file = 'rp_turb3.csv'
x_index_in_file = 0
y_index_in_file = 1
format = columns
extrap = true
[]
[rp_turb4]
type = PiecewiseLinear
data_file = 'rp_turb4.csv'
x_index_in_file = 0
y_index_in_file = 1
format = columns
extrap = true
[]
[rp_turb5]
type = PiecewiseLinear
data_file = 'rp_turb5.csv'
x_index_in_file = 0
y_index_in_file = 1
format = columns
extrap = true
[]
# turbine efficiency
[eff_turb1]
type = ConstantFunction
value = ${eff_turb}
[]
[eff_turb2]
type = ConstantFunction
value = ${eff_turb}
[]
[eff_turb3]
type = ConstantFunction
value = ${eff_turb}
[]
[eff_turb4]
type = ConstantFunction
value = ${eff_turb}
[]
[eff_turb5]
type = ConstantFunction
value = ${eff_turb}
[]
[]
(modules/thermal_hydraulics/test/tests/postprocessors/shaft_connected_component_postprocessor/shaft_connected_component_postprocessor.i)
# Tests ShaftConnectedComponentPostprocessor
[Components]
[motor]
type = ShaftConnectedMotor
inertia = 1
torque = 2
[]
[shaft]
type = Shaft
connected_components = 'motor'
initial_speed = 0
[]
[]
[Postprocessors]
[motor_inertia]
type = ShaftConnectedComponentPostprocessor
shaft_connected_component_uo = motor:shaftconnected_uo
quantity = inertia
execute_on = 'INITIAL'
[]
[motor_torque]
type = ShaftConnectedComponentPostprocessor
shaft_connected_component_uo = motor:shaftconnected_uo
quantity = torque
execute_on = 'INITIAL'
[]
[]
[Problem]
solve = false
[]
[Executioner]
type = Transient
num_steps = 0
[]
[Outputs]
csv = true
execute_on = 'INITIAL'
[]
(modules/thermal_hydraulics/test/tests/problems/brayton_cycle/recuperated_brayton_cycle.i)
# This input file models an open, recuperated Brayton cycle with a PID
# controlled start up using a coupled motor.
#
# Heat is supplied to the system by a volumetric heat source, and a second heat
# source is used to model a recuperator. The recuperator transfers heat from the
# turbine exhaust gas to the compressor outlet gas.
#
# Initially the fluid and heat structures are at rest at ambient conditions,
# and the shaft speed is zero.
# The transient is controlled as follows:
# * 0 - 2000 s: Motor increases shaft speed to approx. 85,000 RPM by PID control
# * 1000 - 8600 s: Power in main heat source increases from 0 - 104 kW
# * 2000 - 200000 s: Torque supplied by turbine increases to steady state level
# as working fluid temperature increases. Torque supplied by
# the motor is ramped down to 0 N-m transitioning shaft control
# to the turbine at its rated speed of 96,000 RPM.
I_motor = 1.0
I_generator = 1.0
generator_torque_per_shaft_speed = -0.00025
motor_ramp_up_duration = 3605
motor_ramp_down_duration = 1800
post_motor_time = 2160000
t1 = ${motor_ramp_up_duration}
t2 = ${fparse t1 + motor_ramp_down_duration}
t3 = ${fparse t2 + post_motor_time}
D1 = 0.15
D2 = ${D1}
D3 = ${D1}
D4 = ${D1}
D5 = ${D1}
D6 = ${D1}
D7 = ${D1}
D8 = ${D1}
A1 = ${fparse 0.25 * pi * D1^2}
A2 = ${fparse 0.25 * pi * D2^2}
A3 = ${fparse 0.25 * pi * D3^2}
A4 = ${fparse 0.25 * pi * D4^2}
A5 = ${fparse 0.25 * pi * D5^2}
A6 = ${fparse 0.25 * pi * D6^2}
A7 = ${fparse 0.25 * pi * D7^2}
A8 = ${fparse 0.25 * pi * D8^2}
recuperator_width = 0.15
L1 = 5.0
L2 = ${L1}
L3 = ${fparse 2 * L1}
L4 = ${fparse 2 * L1}
L5 = ${L1}
L6 = ${L1}
L7 = ${fparse L1 + recuperator_width}
L8 = ${L1}
x1 = 0.0
x2 = ${fparse x1 + L1}
x3 = ${fparse x2 + L2}
x4 = ${x3}
x5 = ${fparse x4 - L4}
x6 = ${x5}
x7 = ${fparse x6 + L6}
x8 = ${fparse x7 + L7}
y1 = 0
y2 = ${y1}
y3 = ${y2}
y4 = ${fparse y3 - L3}
y5 = ${y4}
y6 = ${fparse y5 + L5}
y7 = ${y6}
y8 = ${y7}
x1_out = ${fparse x1 + L1 - 0.001}
x2_in = ${fparse x2 + 0.001}
y5_in = ${fparse y5 + 0.001}
x6_out = ${fparse x6 + L6 - 0.001}
x7_in = ${fparse x7 + 0.001}
y8_in = ${fparse y8 + 0.001}
y8_out = ${fparse y8 + L8 - 0.001}
hot_leg_in = ${y8_in}
hot_leg_out = ${y8_out}
cold_leg_in = ${fparse y3 - 0.001}
cold_leg_out = ${fparse y3 - (L3/2) - 0.001}
n_elems1 = 5
n_elems2 = ${n_elems1}
n_elems3 = ${fparse 2 * n_elems1}
n_elems4 = ${fparse 2 * n_elems1}
n_elems5 = ${n_elems1}
n_elems6 = ${n_elems1}
n_elems7 = ${n_elems1}
n_elems8 = ${n_elems1}
A_ref_comp = ${fparse 0.5 * (A1 + A2)}
V_comp = ${fparse A_ref_comp * 1.0}
I_comp = 1.0
A_ref_turb = ${fparse 0.5 * (A4 + A5)}
V_turb = ${fparse A_ref_turb * 1.0}
I_turb = 1.0
c0_rated_comp = 351.6925137
rho0_rated_comp = 1.146881112
rated_mfr = 0.25
speed_rated_rpm = 96000
speed_rated = ${fparse speed_rated_rpm * 2 * pi / 60.0}
speed_initial = 0
eff_comp = 0.79
eff_turb = 0.843
T_ambient = 300
p_ambient = 1e5
hs_power = 105750
[GlobalParams]
gravity_vector = '0 0 0'
initial_p = ${p_ambient}
initial_T = ${T_ambient}
initial_vel = 0
initial_vel_x = 0
initial_vel_y = 0
initial_vel_z = 0
fp = fp_air
closures = closures
f = 0
scaling_factor_1phase = '1 1 1e-5'
scaling_factor_rhoV = 1
scaling_factor_rhouV = 1e-2
scaling_factor_rhovV = 1e-2
scaling_factor_rhowV = 1e-2
scaling_factor_rhoEV = 1e-5
scaling_factor_temperature = 1e-2
rdg_slope_reconstruction = none
[]
[FluidProperties]
[fp_air]
type = IdealGasFluidProperties
emit_on_nan = none
[]
[]
[SolidProperties]
[steel]
type = ThermalFunctionSolidProperties
rho = 8050
k = 45
cp = 466
[]
[]
[Closures]
[closures]
type = Closures1PhaseSimple
[]
[]
[Functions]
##########################
# Motor
##########################
# Functions for control logic that determines when to shut off the PID system
[is_tripped_fn]
type = ParsedFunction
symbol_names = 'motor_torque turbine_torque'
symbol_values = 'motor_torque turbine_torque'
expression = 'turbine_torque > motor_torque'
[]
[PID_tripped_constant_value]
type = ConstantFunction
value = 1
[]
[PID_tripped_status_fn]
type = ParsedFunction
symbol_values = 'PID_trip_status'
symbol_names = 'PID_trip_status'
expression = 'PID_trip_status'
[]
[time_fn]
type = ParsedFunction
expression = t
[]
# Shutdown function which ramps down the motor once told by the control logic
[motor_torque_fn_shutdown]
type = ParsedFunction
symbol_values = 'PID_trip_status time_trip'
symbol_names = 'PID_trip_status time_trip'
expression = 'if(PID_trip_status = 1, max(2.4 - (2.4 * ((t - time_trip) / 35000)),0.0), 1)'
[]
# Generates motor power curve
[motor_power_fn]
type = ParsedFunction
expression = 'torque * speed'
symbol_names = 'torque speed'
symbol_values = 'motor_torque shaft:omega'
[]
##########################
# Generator
##########################
# Generates generator torque curve
[generator_torque_fn]
type = ParsedFunction
expression = 'slope * t'
symbol_names = 'slope'
symbol_values = '${generator_torque_per_shaft_speed}'
[]
# Generates generator power curve
[generator_power_fn]
type = ParsedFunction
expression = 'torque * speed'
symbol_names = 'torque speed'
symbol_values = 'generator_torque shaft:omega'
[]
##########################
# Reactor
##########################
# Ramps up reactor power when activated by control logic
[power_fn]
type = PiecewiseLinear
x = '0 1000 8600'
y = '0 0 ${hs_power}'
[]
##########################
# Compressor
##########################
# compressor pressure ratios
[rp_comp1]
type = PiecewiseLinear
data_file = 'rp_comp1.csv'
x_index_in_file = 0
y_index_in_file = 1
format = columns
extrap = true
[]
[rp_comp2]
type = PiecewiseLinear
data_file = 'rp_comp2.csv'
x_index_in_file = 0
y_index_in_file = 1
format = columns
extrap = true
[]
[rp_comp3]
type = PiecewiseLinear
data_file = 'rp_comp3.csv'
x_index_in_file = 0
y_index_in_file = 1
format = columns
extrap = true
[]
[rp_comp4]
type = PiecewiseLinear
data_file = 'rp_comp4.csv'
x_index_in_file = 0
y_index_in_file = 1
format = columns
extrap = true
[]
[rp_comp5]
type = PiecewiseLinear
data_file = 'rp_comp5.csv'
x_index_in_file = 0
y_index_in_file = 1
format = columns
extrap = true
[]
# compressor efficiencies
[eff_comp1]
type = ConstantFunction
value = ${eff_comp}
[]
[eff_comp2]
type = ConstantFunction
value = ${eff_comp}
[]
[eff_comp3]
type = ConstantFunction
value = ${eff_comp}
[]
[eff_comp4]
type = ConstantFunction
value = ${eff_comp}
[]
[eff_comp5]
type = ConstantFunction
value = ${eff_comp}
[]
##########################
# Turbine
##########################
# turbine pressure ratios
[rp_turb0]
type = ConstantFunction
value = 1
[]
[rp_turb1]
type = PiecewiseLinear
data_file = 'rp_turb1.csv'
x_index_in_file = 0
y_index_in_file = 1
format = columns
extrap = true
[]
[rp_turb2]
type = PiecewiseLinear
data_file = 'rp_turb2.csv'
x_index_in_file = 0
y_index_in_file = 1
format = columns
extrap = true
[]
[rp_turb3]
type = PiecewiseLinear
data_file = 'rp_turb3.csv'
x_index_in_file = 0
y_index_in_file = 1
format = columns
extrap = true
[]
[rp_turb4]
type = PiecewiseLinear
data_file = 'rp_turb4.csv'
x_index_in_file = 0
y_index_in_file = 1
format = columns
extrap = true
[]
[rp_turb5]
type = PiecewiseLinear
data_file = 'rp_turb5.csv'
x_index_in_file = 0
y_index_in_file = 1
format = columns
extrap = true
[]
# turbine efficiency
[eff_turb1]
type = ConstantFunction
value = ${eff_turb}
[]
[eff_turb2]
type = ConstantFunction
value = ${eff_turb}
[]
[eff_turb3]
type = ConstantFunction
value = ${eff_turb}
[]
[eff_turb4]
type = ConstantFunction
value = ${eff_turb}
[]
[eff_turb5]
type = ConstantFunction
value = ${eff_turb}
[]
[]
[Components]
# system inlet pulling air from the open atmosphere
[inlet]
type = InletStagnationPressureTemperature1Phase
input = 'pipe1:in'
p0 = ${p_ambient}
T0 = ${T_ambient}
[]
# Inlet pipe
[pipe1]
type = FlowChannel1Phase
position = '${x1} ${y1} 0'
orientation = '1 0 0'
length = ${L1}
n_elems = ${n_elems1}
A = ${A1}
[]
# Compressor as defined in MAGNET PCU document (Guillen 2020)
[compressor]
type = ShaftConnectedCompressor1Phase
position = '${x2} ${y2} 0'
inlet = 'pipe1:out'
outlet = 'pipe2:in'
A_ref = ${A_ref_comp}
volume = ${V_comp}
omega_rated = ${speed_rated}
mdot_rated = ${rated_mfr}
c0_rated = ${c0_rated_comp}
rho0_rated = ${rho0_rated_comp}
# Determines which compression ratio curve and efficiency curve to use depending on ratio of speed/rated_speed
speeds = '0.5208 0.6250 0.7292 0.8333 0.9375'
Rp_functions = 'rp_comp1 rp_comp2 rp_comp3 rp_comp4 rp_comp5'
eff_functions = 'eff_comp1 eff_comp2 eff_comp3 eff_comp4 eff_comp5'
min_pressure_ratio = 1.0
speed_cr_I = 0
inertia_const = ${I_comp}
inertia_coeff = '${I_comp} 0 0 0'
# assume no shaft friction
speed_cr_fr = 0
tau_fr_const = 0
tau_fr_coeff = '0 0 0 0'
[]
# Outlet pipe from the compressor
[pipe2]
type = FlowChannel1Phase
position = '${x2} ${y2} 0'
orientation = '1 0 0'
length = ${L2}
n_elems = ${n_elems2}
A = ${A2}
[]
# 90 degree connection between pipe 2 and 3
[junction2_cold_leg]
type = VolumeJunction1Phase
connections = 'pipe2:out cold_leg:in'
position = '${x3} ${y3} 0'
volume = ${fparse A2*0.1}
[]
# Cold leg of the recuperator
[cold_leg]
type = FlowChannel1Phase
position = '${x3} ${y3} 0'
orientation = '0 -1 0'
length = ${fparse L3/2}
n_elems = ${fparse n_elems3/2}
A = ${A3}
[]
# Recuperator which transfers heat from exhaust gas to reactor inlet gas to improve thermal efficency
[recuperator]
type = HeatStructureCylindrical
orientation = '0 -1 0'
position = '${x3} ${y3} 0'
length = ${fparse L3/2}
widths = ${recuperator_width}
n_elems = ${fparse n_elems3/2}
n_part_elems = 2
names = recuperator
solid_properties = steel
solid_properties_T_ref = '300'
inner_radius = ${D1}
[]
# heat transfer from recuperator to cold leg
[heat_transfer_cold_leg]
type = HeatTransferFromHeatStructure1Phase
flow_channel = cold_leg
hs = recuperator
hs_side = OUTER
Hw = 10000
[]
# heat transfer from hot leg to recuperator
[heat_transfer_hot_leg]
type = HeatTransferFromHeatStructure1Phase
flow_channel = hot_leg
hs = recuperator
hs_side = INNER
Hw = 10000
[]
[junction_cold_leg_3]
type = JunctionOneToOne1Phase
connections = 'cold_leg:out pipe3:in'
[]
[pipe3]
type = FlowChannel1Phase
position = '${x3} ${fparse y3 - (L3/2)} 0'
orientation = '0 -1 0'
length = ${fparse L3/2}
n_elems = ${fparse n_elems3/2}
A = ${A3}
[]
# 90 degree connection between pipe 3 and 4
[junction3_4]
type = VolumeJunction1Phase
connections = 'pipe3:out pipe4:in'
position = '${x4} ${y4} 0'
volume = ${fparse A3*0.1}
[]
# Pipe through the "reactor core"
[pipe4]
type = FlowChannel1Phase
position = '${x4} ${y4} 0'
orientation = '-1 0 0'
length = ${L4}
n_elems = ${n_elems4}
A = ${A4}
[]
# "Reactor Core" and it's associated heat transfer to pipe 4
[reactor]
type = HeatStructureCylindrical
orientation = '-1 0 0'
position = '${x4} ${y4} 0'
length = ${L4}
widths = 0.15
n_elems = ${n_elems4}
n_part_elems = 2
names = core
solid_properties = steel
solid_properties_T_ref = '300'
[]
[total_power]
type = TotalPower
power = 0
[]
[heat_generation]
type = HeatSourceFromTotalPower
power = total_power
hs = reactor
regions = core
[]
[heat_transfer]
type = HeatTransferFromHeatStructure1Phase
flow_channel = pipe4
hs = reactor
hs_side = OUTER
Hw = 10000
[]
# 90 degree connection between pipe 4 and 5
[junction4_5]
type = VolumeJunction1Phase
connections = 'pipe4:out pipe5:in'
position = '${x5} ${y5} 0'
volume = ${fparse A4*0.1}
[]
# Pipe carrying hot gas back to the PCU
[pipe5]
type = FlowChannel1Phase
position = '${x5} ${y5} 0'
orientation = '0 1 0'
length = ${L5}
n_elems = ${n_elems5}
A = ${A5}
[]
# 90 degree connection between pipe 5 and 6
[junction5_6]
type = VolumeJunction1Phase
connections = 'pipe5:out pipe6:in'
position = '${x6} ${y6} 0'
volume = ${fparse A5*0.1}
[]
# Inlet pipe to the turbine
[pipe6]
type = FlowChannel1Phase
position = '${x6} ${y6} 0'
orientation = '1 0 0'
length = ${L6}
n_elems = ${n_elems6}
A = ${A6}
[]
# Turbine as defined in MAGNET PCU document (Guillen 2020) and (Wright 2006)
[turbine]
type = ShaftConnectedCompressor1Phase
position = '${x7} ${y7} 0'
inlet = 'pipe6:out'
outlet = 'pipe7:in'
A_ref = ${A_ref_turb}
volume = ${V_turb}
# A turbine is treated as an "inverse" compressor, this value determines if component is to be treated as turbine or compressor
# If treat_as_turbine is omitted, code automatically assumes it is a compressor
treat_as_turbine = true
omega_rated = ${speed_rated}
mdot_rated = ${rated_mfr}
c0_rated = ${c0_rated_comp}
rho0_rated = ${rho0_rated_comp}
# Determines which compression ratio curve and efficiency curve to use depending on ratio of speed/rated_speed
speeds = '0 0.5208 0.6250 0.7292 0.8333 0.9375'
Rp_functions = 'rp_turb0 rp_turb1 rp_turb2 rp_turb3 rp_turb4 rp_turb5'
eff_functions = 'eff_turb1 eff_turb1 eff_turb2 eff_turb3 eff_turb4 eff_turb5'
min_pressure_ratio = 1.0
speed_cr_I = 0
inertia_const = ${I_turb}
inertia_coeff = '${I_turb} 0 0 0'
# assume no shaft friction
speed_cr_fr = 0
tau_fr_const = 0
tau_fr_coeff = '0 0 0 0'
[]
# Outlet pipe from turbine
[pipe7]
type = FlowChannel1Phase
position = '${x7} ${y7} 0'
orientation = '1 0 0'
length = ${L7}
n_elems = ${n_elems7}
A = ${A7}
[]
# 90 degree connection between pipe 7 and 8
[junction7_hot_leg]
type = VolumeJunction1Phase
connections = 'pipe7:out hot_leg:in'
position = '${x8} ${y8} 0'
volume = ${fparse A7*0.1}
[]
# Hot leg of the recuperator
[hot_leg]
type = FlowChannel1Phase
position = '${x8} ${y8} 0'
orientation = '0 1 0'
length = ${L8}
n_elems = ${n_elems8}
A = ${A8}
[]
# System outlet dumping exhaust gas to the atmosphere
[outlet]
type = Outlet1Phase
input = 'hot_leg:out'
p = ${p_ambient}
[]
# Roatating shaft connecting motor, compressor, turbine, and generator
[shaft]
type = Shaft
connected_components = 'motor compressor turbine generator'
initial_speed = ${speed_initial}
[]
# 3-Phase electircal motor used for system start-up, controlled by PID
[motor]
type = ShaftConnectedMotor
inertia = ${I_motor}
torque = 0 # controlled
[]
# Electric generator supplying power to the grid
[generator]
type = ShaftConnectedMotor
inertia = ${I_generator}
torque = generator_torque_fn
[]
[]
# Control logics which govern startup of the motor, startup of the "reactor core", and shutdown of the motor
[ControlLogic]
# Sets desired shaft speed to be reached by motor NOTE: SHOULD BE SET LOWER THAN RATED TURBINE RPM
[set_point]
type = GetFunctionValueControl
function = ${fparse speed_rated_rpm - 9000}
[]
# PID with gains determined by iterative process NOTE: Gain values are system specific
[initial_motor_PID]
type = PIDControl
set_point = set_point:value
input = shaft_RPM
initial_value = 0
K_p = 0.0011
K_i = 0.00000004
K_d = 0
[]
# Determines when the PID system should be running and when it should begin the shutdown cycle. If needed: PID output, else: shutdown function
[logic]
type = ParsedFunctionControl
function = 'if(motor+0.5 > turb, PID, shutdown_fn)'
symbol_names = 'motor turb PID shutdown_fn'
symbol_values = 'motor_torque turbine_torque initial_motor_PID:output motor_torque_fn_shutdown'
[]
# Takes the output generated in [logic] and applies it to the motor torque
[motor_PID]
type = SetComponentRealValueControl
component = motor
parameter = torque
value = logic:value
[]
# Determines when to turn on heat source
[power_logic]
type = ParsedFunctionControl
function = 'power_fn'
symbol_names = 'power_fn'
symbol_values = 'power_fn'
[]
# Applies heat source to the total_power block
[power_applied]
type = SetComponentRealValueControl
component = total_power
parameter = power
value = power_logic:value
[]
[]
[Controls]
# Enables set_PID_tripped
[PID_trip_status]
type = ConditionalFunctionEnableControl
conditional_function = is_tripped_fn
enable_objects = 'AuxScalarKernels::PID_trip_status_aux'
execute_on = 'TIMESTEP_END'
[]
# Enables set_time_PID
[time_PID]
type = ConditionalFunctionEnableControl
conditional_function = PID_tripped_status_fn
disable_objects = 'AuxScalarKernels::time_trip_aux'
execute_on = 'TIMESTEP_END'
[]
[]
[AuxVariables]
# Creates a variable that will later be set to the time when tau_turbine > tau_motor
[time_trip]
order = FIRST
family = SCALAR
[]
# Creates variable which indicates if tau_turbine > tau_motor....... If tau_motor > tau_turbine, 0, else 1
[PID_trip_status]
order = FIRST
family = SCALAR
initial_condition = 0
[]
[]
[AuxScalarKernels]
# Creates variable from time_fn which indicates when tau_turbine > tau_motor
[time_trip_aux]
type = FunctionScalarAux
function = time_fn
variable = time_trip
execute_on = 'TIMESTEP_END'
[]
# Overwrites variable PID_trip_status to the value from PID_tripped_constant_value (changes 0 to 1)
[PID_trip_status_aux]
type = FunctionScalarAux
function = PID_tripped_constant_value
variable = PID_trip_status
execute_on = 'TIMESTEP_END'
enable = false
[]
[]
[Postprocessors]
# Indicates when tau_turbine > tau_motor
[trip_time]
type = ScalarVariable
variable = time_trip
execute_on = 'TIMESTEP_END'
[]
##########################
# Motor
##########################
[motor_torque]
type = RealComponentParameterValuePostprocessor
component = motor
parameter = torque
execute_on = 'INITIAL TIMESTEP_END'
[]
[motor_power]
type = FunctionValuePostprocessor
function = motor_power_fn
execute_on = 'INITIAL TIMESTEP_END'
[]
##########################
# generator
##########################
[generator_torque]
type = ShaftConnectedComponentPostprocessor
quantity = torque
shaft_connected_component_uo = generator:shaftconnected_uo
execute_on = 'INITIAL TIMESTEP_END'
[]
[generator_power]
type = FunctionValuePostprocessor
function = generator_power_fn
execute_on = 'INITIAL TIMESTEP_END'
[]
##########################
# Shaft
##########################
# Speed in rad/s
[shaft_speed]
type = ScalarVariable
variable = 'shaft:omega'
execute_on = 'INITIAL TIMESTEP_END'
[]
# speed in RPM
[shaft_RPM]
type = ParsedPostprocessor
pp_names = 'shaft_speed'
expression = '(shaft_speed * 60) /( 2 * ${fparse pi})'
execute_on = 'INITIAL TIMESTEP_END'
[]
##########################
# Compressor
##########################
[comp_dissipation_torque]
type = ElementAverageValue
variable = dissipation_torque
block = 'compressor'
execute_on = 'INITIAL TIMESTEP_END'
[]
[comp_isentropic_torque]
type = ElementAverageValue
variable = isentropic_torque
block = 'compressor'
execute_on = 'INITIAL TIMESTEP_END'
[]
[comp_friction_torque]
type = ElementAverageValue
variable = friction_torque
block = 'compressor'
execute_on = 'INITIAL TIMESTEP_END'
[]
[compressor_torque]
type = ParsedPostprocessor
pp_names = 'comp_dissipation_torque comp_isentropic_torque comp_friction_torque'
expression = 'comp_dissipation_torque + comp_isentropic_torque + comp_friction_torque'
[]
[p_in_comp]
type = PointValue
variable = p
point = '${x1_out} ${y1} 0'
execute_on = 'INITIAL TIMESTEP_END'
[]
[p_out_comp]
type = PointValue
variable = p
point = '${x2_in} ${y2} 0'
execute_on = 'INITIAL TIMESTEP_END'
[]
[p_ratio_comp]
type = ParsedPostprocessor
pp_names = 'p_in_comp p_out_comp'
expression = 'p_out_comp / p_in_comp'
execute_on = 'INITIAL TIMESTEP_END'
[]
[T_in_comp]
type = PointValue
variable = T
point = '${x1_out} ${y1} 0'
execute_on = 'INITIAL TIMESTEP_END'
[]
[T_out_comp]
type = PointValue
variable = T
point = '${x2_in} ${y2} 0'
execute_on = 'INITIAL TIMESTEP_END'
[]
[T_ratio_comp]
type = ParsedPostprocessor
pp_names = 'T_in_comp T_out_comp'
expression = '(T_out_comp - T_in_comp) / T_out_comp'
execute_on = 'INITIAL TIMESTEP_END'
[]
[mfr_comp]
type = ADFlowJunctionFlux1Phase
boundary = pipe1:out
connection_index = 0
equation = mass
junction = compressor
[]
##########################
# turbine
##########################
[turb_dissipation_torque]
type = ElementAverageValue
variable = dissipation_torque
block = 'turbine'
execute_on = 'INITIAL TIMESTEP_END'
[]
[turb_isentropic_torque]
type = ElementAverageValue
variable = isentropic_torque
block = 'turbine'
execute_on = 'INITIAL TIMESTEP_END'
[]
[turb_friction_torque]
type = ElementAverageValue
variable = friction_torque
block = 'turbine'
execute_on = 'INITIAL TIMESTEP_END'
[]
[turbine_torque]
type = ParsedPostprocessor
pp_names = 'turb_dissipation_torque turb_isentropic_torque turb_friction_torque'
expression = 'turb_dissipation_torque + turb_isentropic_torque + turb_friction_torque'
[]
[p_in_turb]
type = PointValue
variable = p
point = '${x6_out} ${y6} 0'
execute_on = 'INITIAL TIMESTEP_END'
[]
[p_out_turb]
type = PointValue
variable = p
point = '${x7_in} ${y7} 0'
execute_on = 'INITIAL TIMESTEP_END'
[]
[p_ratio_turb]
type = ParsedPostprocessor
pp_names = 'p_in_turb p_out_turb'
expression = 'p_in_turb / p_out_turb'
execute_on = 'INITIAL TIMESTEP_END'
[]
[T_in_turb]
type = PointValue
variable = T
point = '${x6_out} ${y6} 0'
execute_on = 'INITIAL TIMESTEP_END'
[]
[T_out_turb]
type = PointValue
variable = T
point = '${x7_in} ${y7} 0'
execute_on = 'INITIAL TIMESTEP_END'
[]
[mfr_turb]
type = ADFlowJunctionFlux1Phase
boundary = pipe6:out
connection_index = 0
equation = mass
junction = turbine
[]
##########################
# Recuperator
##########################
[cold_leg_in]
type = PointValue
variable = T
point = '${x3} ${cold_leg_in} 0'
execute_on = 'INITIAL TIMESTEP_END'
[]
[cold_leg_out]
type = PointValue
variable = T
point = '${x3} ${cold_leg_out} 0'
execute_on = 'INITIAL TIMESTEP_END'
[]
[hot_leg_in]
type = PointValue
variable = T
point = '${x8} ${hot_leg_in} 0'
execute_on = 'INITIAL TIMESTEP_END'
[]
[hot_leg_out]
type = PointValue
variable = T
point = '${x8} ${hot_leg_out} 0'
execute_on = 'INITIAL TIMESTEP_END'
[]
##########################
# Reactor
##########################
[reactor_inlet]
type = PointValue
variable = T
point = '${x4} ${y4} 0'
execute_on = 'INITIAL TIMESTEP_END'
[]
[reactor_outlet]
type = PointValue
variable = T
point = '${x5} ${y5_in} 0'
execute_on = 'INITIAL TIMESTEP_END'
[]
[]
[Executioner]
type = Transient
scheme = 'bdf2'
end_time = ${t3}
[TimeStepper]
type = IterationAdaptiveDT
dt = 0.01
growth_factor = 1.1
cutback_factor = 0.9
[]
dtmin = 1e-5
dtmax = 1000
steady_state_detection = true
steady_state_start_time = 200000
solve_type = NEWTON
nl_rel_tol = 1e-8
nl_abs_tol = 1e-8
nl_max_its = 15
l_tol = 1e-4
l_max_its = 10
petsc_options_iname = '-pc_type'
petsc_options_value = ' lu '
[]
[Outputs]
[e]
type = Exodus
file_base = 'recuperated_brayton_cycle_out'
[]
[csv]
type = CSV
file_base = 'recuperated_brayton_cycle'
execute_vector_postprocessors_on = 'INITIAL'
[]
[console]
type = Console
show = 'shaft_speed p_ratio_comp p_ratio_turb pressure_ratio pressure_ratio'
[]
[]