Buildings.Fluid.Actuators.BaseClasses
Package with base classes for Buildings.Fluid.Actuators
Information
This package contains base classes that are used to construct the models in Buildings.Fluid.Actuators.
Extends from Modelica.Icons.BasesPackage (Icon for packages containing base classes).
Package Content
Name | Description |
---|---|
ActuatorSignal | Partial model that implements the filtered opening for valves and dampers |
PartialDamperExponential | Partial model for air dampers with exponential opening characteristics |
PartialThreeWayValve | Partial three way valve |
PartialTwoWayValve | Partial model for a two way valve |
PartialTwoWayValveKv | Partial model for a two way valve using a Kv characteristic |
ValveParameters | Model with parameters for valves |
der_equalPercentage | Derivative of valve opening characteristics for equal percentage valve |
equalPercentage | Valve opening characteristics for equal percentage valve |
exponentialDamper | Damper opening characteristics for an exponential damper |
Examples | Collection of models that illustrate model use and test models |
Buildings.Fluid.Actuators.BaseClasses.ActuatorSignal
Partial model that implements the filtered opening for valves and dampers
Information
This model implements the filter that is used to approximate the travel
time of the actuator.
Models that extend this model use the signal
y_actual
to obtain the
current position of the actuator.
See Buildings.Fluid.Actuators.UsersGuide for a description of the filter.
Parameters
Type | Name | Default | Description |
---|---|---|---|
Dynamics | |||
Filtered opening | |||
Boolean | use_inputFilter | true | = true, if opening is filtered with a 2nd order CriticalDamping filter |
Time | riseTime | 120 | Rise time of the filter (time to reach 99.6 % of an opening step) [s] |
Init | init | Modelica.Blocks.Types.Init.I... | Type of initialization (no init/steady state/initial state/initial output) |
Real | y_start | 1 | Initial position of actuator |
Connectors
Type | Name | Description |
---|---|---|
input RealInput | y | Actuator position (0: closed, 1: open) |
output RealOutput | y_actual | Actual actuator position |
Modelica definition
Buildings.Fluid.Actuators.BaseClasses.PartialDamperExponential
Partial model for air dampers with exponential opening characteristics
Information
Partial model for air dampers with exponential opening characteristics. This is the base model for air dampers. The model implements the functions that relate the opening signal and the flow coefficient. The model also defines parameters that are used by different air damper models.
The model is as in ASHRAE 825-RP except that a control signal of
y=0
means the damper is closed, and y=1
means
the damper is open.
This is opposite of the implementation of ASHRAE 825-RP, but used here
for consistency within this library.
For yL < y < yU
, the damper characteristics is:
kd(y) = exp(a+b (1-y))
where kd is the loss coefficient (total pressure drop divided by dynamic pressure) and y is the fractional opening.
Outside this range, the damper characteristics is defined by a quadratic polynomial that
matches the damper resistance at y=0
and y=yL
or
y=yU
and y=1
, respectively.
In addition, the polynomials are such that kd(y) is differentiable in
y and the derivative is continuous.
The damper characteristics is then used to compute the flow coefficient k(y) as:
k(y) = (2 ρ ⁄ kd(y))1/2 A
where A is the face area, which is computed using the nominal
mass flow rate m_flow_nominal
, the nominal velocity
v_nominal
and the density of the medium.
ASHRAE 825-RP lists the following parameter values as typical (note that the
default values in the model correspond to opposed blades).
opposed blades | single blades | |
---|---|---|
yL | 15/90 | 15/90 |
yU | 55/90 | 65/90 |
k1 | 0.2 to 0.5 | 0.2 to 0.5 |
a | -1.51 | -1.51 |
b | 0.105*90 | 0.0842*90 |
(The loss coefficient in fully closed position k0
is computed based on the leakage coefficient
and the coefficient in fully open position.)
References
P. Haves, L. K. Norford, M. DeSimone and L. Mei, A Standard Simulation Testbed for the Evaluation of Control Algorithms & Strategies, ASHRAE Final Report 825-RP, Atlanta, GA.
Extends from Buildings.Fluid.BaseClasses.PartialResistance (Partial model for a hydraulic resistance), Buildings.Fluid.Actuators.BaseClasses.ActuatorSignal (Partial model that implements the filtered opening for valves and dampers).
Parameters
Type | Name | Default | Description |
---|---|---|---|
replaceable package Medium | PartialMedium | Medium in the component | |
MassFlowRate | m_flow_turbulent | if use_deltaM then deltaM*m_... | Turbulent flow if |m_flow| >= m_flow_turbulent [kg/s] |
Boolean | use_deltaM | true | Set to true to use deltaM for turbulent transition, else ReC is used |
Real | deltaM | 0.3 | Fraction of nominal mass flow rate where transition to turbulent occurs |
Boolean | roundDuct | false | Set to true for round duct, false for square cross section |
Real | ReC | 4000 | Reynolds number where transition to turbulence starts |
Nominal condition | |||
MassFlowRate | m_flow_nominal | Nominal mass flow rate [kg/s] | |
PressureDifference | dp_nominal | dpDamper_nominal + dpFixed_n... | Pressure drop at nominal mass flow rate [Pa] |
PressureDifference | dpDamper_nominal | Pressure drop of fully open damper at nominal mass flow rate [Pa] | |
PressureDifference | dpFixed_nominal | 0 | Pressure drop of duct and resistances other than the damper in series, at nominal mass flow rate [Pa] |
Assumptions | |||
Boolean | allowFlowReversal | true | = false to simplify equations, assuming, but not enforcing, no flow reversal |
Advanced | |||
Diagnostics | |||
Boolean | show_T | false | = true, if actual temperature at port is computed |
Boolean | from_dp | false | = true, use m_flow = f(dp) else dp = f(m_flow) |
Boolean | linearized | false | = true, use linear relation between m_flow and dp for any flow rate |
Boolean | use_constant_density | true | Set to true to use constant density for flow friction |
Dynamics | |||
Filtered opening | |||
Boolean | use_inputFilter | true | = true, if opening is filtered with a 2nd order CriticalDamping filter |
Time | riseTime | 120 | Rise time of the filter (time to reach 99.6 % of an opening step) [s] |
Init | init | Modelica.Blocks.Types.Init.I... | Type of initialization (no init/steady state/initial state/initial output) |
Real | y_start | 1 | Initial position of actuator |
Damper coefficients | |||
Real | a | -1.51 | Coefficient a for damper characteristics [1] |
Real | b | 0.105*90 | Coefficient b for damper characteristics [1] |
Real | yL | 15/90 | Lower value for damper curve [1] |
Real | yU | 55/90 | Upper value for damper curve [1] |
Real | k1 | 0.45 | Loss coefficient for y=1 (pressure drop divided by dynamic pressure) [1] |
Real | l | 0.0001 | Damper leakage, ratio of flow coefficients k(y=0)/k(y=1) |
Connectors
Type | Name | Description |
---|---|---|
FluidPort_a | port_a | Fluid connector a (positive design flow direction is from port_a to port_b) |
FluidPort_b | port_b | Fluid connector b (positive design flow direction is from port_a to port_b) |
input RealInput | y | Actuator position (0: closed, 1: open) |
output RealOutput | y_actual | Actual actuator position |
Modelica definition
Buildings.Fluid.Actuators.BaseClasses.PartialThreeWayValve
Partial three way valve
Information
Partial model of a three way valve. This is the base model for valves
with different opening characteristics, such as linear, equal percentage
or quick opening. The three way valve model consists of a mixer where
valves are placed in two of the flow legs. The third flow leg
has no friction.
The flow coefficient Kv
for flow from port_1 → port_2
is
a parameter.
The flow coefficient for the bypass flow from port_3 → port_2
is computed as
Kv(port_3 → port_2) fraK = ---------------------- Kv(port_1 → port_2)
where 0 < fraK ≤ 1
is a parameter with a default value
of fraK=0.7
.
Since this model uses two way valves to construct a three way valve, see Buildings.Fluid.Actuators.BaseClasses.PartialTwoWayValve for details regarding the valve implementation.
Extends from Buildings.Fluid.BaseClasses.PartialThreeWayResistance (Flow splitter with partial resistance model at each port), Buildings.Fluid.Actuators.BaseClasses.ActuatorSignal (Partial model that implements the filtered opening for valves and dampers), Buildings.Fluid.Actuators.BaseClasses.ValveParameters (Model with parameters for valves).
Parameters
Type | Name | Default | Description |
---|---|---|---|
replaceable package Medium | PartialMedium | Medium in the component | |
Real | fraK | 0.7 | Fraction Kv(port_3→port_2)/Kv(port_1→port_2) |
Real | l[2] | {0.0001,0.0001} | Valve leakage, l=Kv(y=0)/Kv(y=1) |
Flow Coefficient | |||
CvTypes | CvData | Buildings.Fluid.Types.CvType... | Selection of flow coefficient |
Real | Kv | Kv (metric) flow coefficient [m3/h/(bar)^(1/2)] | |
Real | Cv | Cv (US) flow coefficient [USG/min/(psi)^(1/2)] | |
Area | Av | Av (metric) flow coefficient [m2] | |
Pressure-flow linearization | |||
Real | deltaM | 0.02 | Fraction of nominal flow rate where linearization starts, if y=1 |
Nominal condition | |||
MassFlowRate | m_flow_nominal | Nominal mass flow rate [kg/s] | |
PressureDifference | dpValve_nominal | Nominal pressure drop of fully open valve, used if CvData=Buildings.Fluid.Types.CvTypes.OpPoint [Pa] | |
PressureDifference | dpFixed_nominal[2] | {0,0} | Nominal pressure drop of pipes and other equipment in flow legs at port_1 and port_3 [Pa] |
Dynamics | |||
Conservation equations | |||
Dynamics | energyDynamics | Modelica.Fluid.Types.Dynamic... | Type of energy balance: dynamic (3 initialization options) or steady state |
MassFlowRate | mDyn_flow_nominal | m_flow_nominal | Nominal mass flow rate for dynamic momentum and energy balance [kg/s] |
Nominal condition | |||
Time | tau | 10 | Time constant at nominal flow for dynamic energy and momentum balance [s] |
Filtered opening | |||
Boolean | use_inputFilter | true | = true, if opening is filtered with a 2nd order CriticalDamping filter |
Time | riseTime | 120 | Rise time of the filter (time to reach 99.6 % of an opening step) [s] |
Init | init | Modelica.Blocks.Types.Init.I... | Type of initialization (no init/steady state/initial state/initial output) |
Real | y_start | 1 | Initial position of actuator |
Initialization | |||
AbsolutePressure | p_start | Medium.p_default | Start value of pressure [Pa] |
Temperature | T_start | Medium.T_default | Start value of temperature [K] |
MassFraction | X_start[Medium.nX] | Medium.X_default | Start value of mass fractions m_i/m [kg/kg] |
ExtraProperty | C_start[Medium.nC] | fill(0, Medium.nC) | Start value of trace substances |
ExtraProperty | C_nominal[Medium.nC] | fill(1E-2, Medium.nC) | Nominal value of trace substances. (Set to typical order of magnitude.) |
Advanced | |||
Boolean | from_dp | true | = true, use m_flow = f(dp) else dp = f(m_flow) |
PortFlowDirection | portFlowDirection_1 | Modelica.Fluid.Types.PortFlo... | Flow direction for port_1 |
PortFlowDirection | portFlowDirection_2 | Modelica.Fluid.Types.PortFlo... | Flow direction for port_2 |
PortFlowDirection | portFlowDirection_3 | Modelica.Fluid.Types.PortFlo... | Flow direction for port_3 |
Boolean | verifyFlowReversal | false | =true, to assert that the flow does not reverse when portFlowDirection_* does not equal Bidirectional |
MassFlowRate | m_flow_small | m_flow_nominal*1e-4 | Small mass flow rate for checking flow reversal [kg/s] |
Boolean | linearized[2] | {false,false} | = true, use linear relation between m_flow and dp for any flow rate |
Nominal condition | |||
Density | rhoStd | Medium.density_pTX(101325, 2... | Inlet density for which valve coefficients are defined [kg/m3] |
Connectors
Type | Name | Description |
---|---|---|
FluidPort_a | port_1 | First port, typically inlet |
FluidPort_b | port_2 | Second port, typically outlet |
FluidPort_a | port_3 | Third port, can be either inlet or outlet |
input RealInput | y | Actuator position (0: closed, 1: open) |
output RealOutput | y_actual | Actual actuator position |
Modelica definition
Buildings.Fluid.Actuators.BaseClasses.PartialTwoWayValve
Partial model for a two way valve
Information
Partial model for a two way valve. This is the base model for valves with different opening characteristics, such as linear, equal percentage, quick opening or pressure-independent.
To prevent the derivative d/dP (m_flow)
to be infinite near
the origin, this model linearizes the pressure drop versus flow relation
ship. The region in which it is linearized is parameterized by
m_turbulent_flow = deltaM * m_flow_nominal
Because the parameterization contains Kv_SI
, the values for
deltaM
and dp_nominal
need not be changed if the valve size
changes.
In contrast to the model in
Modelica.Fluid, this model uses the parameter Kv_SI
,
which is the flow coefficient in SI units, i.e.,
it is the ratio between mass flow rate in kg/s
and square root
of pressure drop in Pa
.
Options
This model allows different parameterization of the flow resistance. The different parameterizations are described in Buildings.Fluid.Actuators.BaseClasses.ValveParameters.
Implementation
The two way valve models are implemented using this partial model, as opposed to using different functions for the valve opening characteristics, because each valve opening characteristics has different parameters.
Extends from Buildings.Fluid.BaseClasses.PartialResistance (Partial model for a hydraulic resistance), Buildings.Fluid.Actuators.BaseClasses.ValveParameters (Model with parameters for valves), Buildings.Fluid.Actuators.BaseClasses.ActuatorSignal (Partial model that implements the filtered opening for valves and dampers).
Parameters
Type | Name | Default | Description |
---|---|---|---|
replaceable package Medium | PartialMedium | Medium in the component | |
MassFlowRate | m_flow_turbulent | deltaM*abs(m_flow_nominal) | Turbulent flow if |m_flow| >= m_flow_turbulent [kg/s] |
Real | l | 0.0001 | Valve leakage, l=Kv(y=0)/Kv(y=1) |
Real | kFixed | if dpFixed_nominal > Modelic... | Flow coefficient of fixed resistance that may be in series with valve, k=m_flow/sqrt(dp), with unit=(kg.m)^(1/2). |
Nominal condition | |||
MassFlowRate | m_flow_nominal | Nominal mass flow rate [kg/s] | |
PressureDifference | dp_nominal | dpValve_nominal + dpFixed_no... | Pressure drop at nominal mass flow rate [Pa] |
PressureDifference | dpValve_nominal | Nominal pressure drop of fully open valve, used if CvData=Buildings.Fluid.Types.CvTypes.OpPoint [Pa] | |
PressureDifference | dpFixed_nominal | 0 | Pressure drop of pipe and other resistances that are in series [Pa] |
Flow Coefficient | |||
CvTypes | CvData | Buildings.Fluid.Types.CvType... | Selection of flow coefficient |
Real | Kv | Kv (metric) flow coefficient [m3/h/(bar)^(1/2)] | |
Real | Cv | Cv (US) flow coefficient [USG/min/(psi)^(1/2)] | |
Area | Av | Av (metric) flow coefficient [m2] | |
Pressure-flow linearization | |||
Real | deltaM | 0.02 | Fraction of nominal flow rate where linearization starts, if y=1 |
Assumptions | |||
Boolean | allowFlowReversal | true | = false to simplify equations, assuming, but not enforcing, no flow reversal |
Advanced | |||
Diagnostics | |||
Boolean | show_T | false | = true, if actual temperature at port is computed |
Boolean | from_dp | false | = true, use m_flow = f(dp) else dp = f(m_flow) |
Boolean | linearized | false | = true, use linear relation between m_flow and dp for any flow rate |
Nominal condition | |||
Density | rhoStd | Medium.density_pTX(101325, 2... | Inlet density for which valve coefficients are defined [kg/m3] |
Dynamics | |||
Filtered opening | |||
Boolean | use_inputFilter | true | = true, if opening is filtered with a 2nd order CriticalDamping filter |
Time | riseTime | 120 | Rise time of the filter (time to reach 99.6 % of an opening step) [s] |
Init | init | Modelica.Blocks.Types.Init.I... | Type of initialization (no init/steady state/initial state/initial output) |
Real | y_start | 1 | Initial position of actuator |
Connectors
Type | Name | Description |
---|---|---|
FluidPort_a | port_a | Fluid connector a (positive design flow direction is from port_a to port_b) |
FluidPort_b | port_b | Fluid connector b (positive design flow direction is from port_a to port_b) |
input RealInput | y | Actuator position (0: closed, 1: open) |
output RealOutput | y_actual | Actual actuator position |
Modelica definition
Buildings.Fluid.Actuators.BaseClasses.PartialTwoWayValveKv
Partial model for a two way valve using a Kv characteristic
Information
Partial model for valves with different opening characteristics, such as linear, equal percentage or quick opening. This partial extends from Buildings.Fluid.Actuators.BaseClasses.PartialTwoWayValve and also contains the governing equations for these three two way valve models.
Implementation
Models that extend this model need to provide a binding equation
for the flow function phi
.
An example of such a code can be found in
Buildings.Fluid.Actuators.Valves.TwoWayLinear.
Extends from Buildings.Fluid.Actuators.BaseClasses.PartialTwoWayValve (Partial model for a two way valve).
Parameters
Type | Name | Default | Description |
---|---|---|---|
replaceable package Medium | PartialMedium | Medium in the component | |
Real | l | 0.0001 | Valve leakage, l=Kv(y=0)/Kv(y=1) |
Real | kFixed | if dpFixed_nominal > Modelic... | Flow coefficient of fixed resistance that may be in series with valve, k=m_flow/sqrt(dp), with unit=(kg.m)^(1/2). |
Nominal condition | |||
MassFlowRate | m_flow_nominal | Nominal mass flow rate [kg/s] | |
PressureDifference | dpValve_nominal | Nominal pressure drop of fully open valve, used if CvData=Buildings.Fluid.Types.CvTypes.OpPoint [Pa] | |
PressureDifference | dpFixed_nominal | 0 | Pressure drop of pipe and other resistances that are in series [Pa] |
Flow Coefficient | |||
CvTypes | CvData | Buildings.Fluid.Types.CvType... | Selection of flow coefficient |
Real | Kv | Kv (metric) flow coefficient [m3/h/(bar)^(1/2)] | |
Real | Cv | Cv (US) flow coefficient [USG/min/(psi)^(1/2)] | |
Area | Av | Av (metric) flow coefficient [m2] | |
Pressure-flow linearization | |||
Real | deltaM | 0.02 | Fraction of nominal flow rate where linearization starts, if y=1 |
Assumptions | |||
Boolean | allowFlowReversal | true | = false to simplify equations, assuming, but not enforcing, no flow reversal |
Advanced | |||
Diagnostics | |||
Boolean | show_T | false | = true, if actual temperature at port is computed |
Boolean | from_dp | false | = true, use m_flow = f(dp) else dp = f(m_flow) |
Boolean | linearized | false | = true, use linear relation between m_flow and dp for any flow rate |
Nominal condition | |||
Density | rhoStd | Medium.density_pTX(101325, 2... | Inlet density for which valve coefficients are defined [kg/m3] |
Dynamics | |||
Filtered opening | |||
Boolean | use_inputFilter | true | = true, if opening is filtered with a 2nd order CriticalDamping filter |
Time | riseTime | 120 | Rise time of the filter (time to reach 99.6 % of an opening step) [s] |
Init | init | Modelica.Blocks.Types.Init.I... | Type of initialization (no init/steady state/initial state/initial output) |
Real | y_start | 1 | Initial position of actuator |
Connectors
Type | Name | Description |
---|---|---|
FluidPort_a | port_a | Fluid connector a (positive design flow direction is from port_a to port_b) |
FluidPort_b | port_b | Fluid connector b (positive design flow direction is from port_a to port_b) |
input RealInput | y | Actuator position (0: closed, 1: open) |
output RealOutput | y_actual | Actual actuator position |
Modelica definition
Buildings.Fluid.Actuators.BaseClasses.ValveParameters
Model with parameters for valves
Information
Model that computes the flow coefficients of valves. This base class allows the following modeling options, which have been adapted from the valve implementation in Modelica.Fluid to specify the valve flow coefficient in fully open conditions:
CvData = Buildings.Fluid.Types.CvTypes.Av
: the flow coefficient is given by the metricAv
coefficient (m^2).CvData = Buildings.Fluid.Types.CvTypes.Kv
: the flow coefficient is given by the metricKv
coefficient (m^3/h).CvData = Buildings.Fluid.Types.CvTypes.Cv
: the flow coefficient is given by the USCv
coefficient (USG/min).CvData = Buildings.Fluid.Types.CvTypes.OpPoint
: the flow is computed from the nominal operating point specified bydp_nominal
andm_flow_nominal
.
The treatment of parameters Kv
and Cv
is
explained in detail in the
Users Guide.
In contrast to the model in
Modelica.Fluid, this model uses the protected parameter Kv_SI
,
which is the flow coefficient in SI units, i.e.,
it is the ratio between mass flow rate in kg/s
and square root
of pressure drop in Pa
.
The value of Kv_SI
is computed based on the parameters
Av
,
Kv
,
Cv
, or, if
CvData = Buildings.Fluid.Types.CvTypes.OpPoint
, based on
m_flow_nominal
and dpValve_nominal
.
Conversely, if
CvData <> Buildings.Fluid.Types.CvTypes.OpPoint
, then
dpValve_nominal
is computed based on
Av
,
Kv
, or
Cv
, and the nominal mass flow rate m_flow_nominal
.
Therefore, if
CvData <> Buildings.Fluid.Types.CvTypes.OpPoint
,
then specifying a value for dpValve_nominal
is a syntax error.
Parameters
Type | Name | Default | Description |
---|---|---|---|
Flow Coefficient | |||
CvTypes | CvData | Buildings.Fluid.Types.CvType... | Selection of flow coefficient |
Real | Kv | Kv (metric) flow coefficient [m3/h/(bar)^(1/2)] | |
Real | Cv | Cv (US) flow coefficient [USG/min/(psi)^(1/2)] | |
Area | Av | Av (metric) flow coefficient [m2] | |
Pressure-flow linearization | |||
Real | deltaM | 0.02 | Fraction of nominal flow rate where linearization starts, if y=1 |
Nominal condition | |||
MassFlowRate | m_flow_nominal | Nominal mass flow rate [kg/s] | |
PressureDifference | dpValve_nominal | Nominal pressure drop of fully open valve, used if CvData=Buildings.Fluid.Types.CvTypes.OpPoint [Pa] | |
Advanced | |||
Nominal condition | |||
Density | rhoStd | Inlet density for which valve coefficients are defined [kg/m3] |
Modelica definition
Buildings.Fluid.Actuators.BaseClasses.der_equalPercentage
Derivative of valve opening characteristics for equal percentage valve
Information
This function computes the derivative of the opening characteristics of an equal percentage valve.
The function is the derivative of Buildings.Fluid.Actuators.BaseClasses.equalPercentage.
Extends from Modelica.Icons.Function (Icon for functions).
Inputs
Type | Name | Default | Description |
---|---|---|---|
Real | y | Valve opening signal, y=1 is fully open | |
Real | R | Rangeability, R=50...100 typically | |
Real | l | Valve leakage, l=Kv(y=0)/Kv(y=1) | |
Real | delta | Range of significant deviation from equal percentage law | |
Real | der_y | Derivative of valve opening signal |
Outputs
Type | Name | Description |
---|---|---|
Real | der_phi | Derivative of ratio actual to nominal mass flow rate, dphi/dy |
Modelica definition
Buildings.Fluid.Actuators.BaseClasses.equalPercentage
Valve opening characteristics for equal percentage valve
Information
This function computes the opening characteristics of an equal percentage valve.
The function is used by the model Buildings.Fluid.Actuators.Valves.TwoWayEqualPercentage.
For y < delta/2
, the valve characteristics is linear. For y > 3*delta/2
the valve characteristics is equal percentage. In between, a cubic spline is used to ensure
that the valve characteristics is once continuously differentiable with respect to y
.
Extends from Modelica.Icons.Function (Icon for functions).
Inputs
Type | Name | Default | Description |
---|---|---|---|
Real | y | Valve opening signal, y=1 is fully open | |
Real | R | Rangeability, R=50...100 typically | |
Real | l | Valve leakage, l=Kv(y=0)/Kv(y=1) | |
Real | delta | Range of significant deviation from equal percentage law |
Outputs
Type | Name | Description |
---|---|---|
Real | phi | Ratio actual to nominal mass flow rate, phi=Cv(y)/Cv(y=1) |
Modelica definition
Buildings.Fluid.Actuators.BaseClasses.exponentialDamper
Damper opening characteristics for an exponential damper
Information
This function computes the opening characteristics of an exponential damper.
The function is used by the model Buildings.Fluid.Actuators.Dampers.Exponential.
For yL < y < yU
, the damper characteristics is
kd(y) = exp(a+b (1-y)).
Outside this range, the damper characteristic is defined by a quadratic polynomial.
Note that this implementation returns sqrt(kd(y)) instead of kd(y). This is done for numerical reason since otherwise kd(y) may be an iteration variable, which may cause a lot of warnings and slower convergence if the solver attempts kd(y) < 0 during the iterative solution procedure.
Extends from Modelica.Icons.Function (Icon for functions).
Inputs
Type | Name | Default | Description |
---|---|---|---|
Real | y | Control signal, y=0 is closed, y=1 is open | |
Real | a | Coefficient a for damper characteristics | |
Real | b | Coefficient b for damper characteristics | |
Real | cL[3] | Polynomial coefficients for curve fit for y < yl | |
Real | cU[3] | Polynomial coefficients for curve fit for y > yu | |
Real | yL | Lower value for damper curve | |
Real | yU | Upper value for damper curve |
Outputs
Type | Name | Description |
---|---|---|
Real | kThetaSqRt | Square root of loss coefficient, sqrt(pressure drop/dynamic pressure) |