.AixLib.Fluid.Movers.PumpsPolynomialBased.PumpHeadControlled

Information

Overview

Simple model for a pump that sets pump speed (headUnbound) and can compute pump power and efficiency from polynomial functions. Pump speed (n) will be calculated from volume flow rate and pump head n=f(Q,H). Pump head (pressure difference in meter water column) is limited by pumpParam.maxMinHeight. This is used in 2Dtable maxMinTable. Those curves are normally derived from an electronic power limitation of a pump.

On-/Off Switch

The pump can be switched on/off by a boolean input (pumpBus.onOff_Input, TRUE = On). The switch between on and off is not filtered.

Controlling the pump (pumpBus.dp_Input)

The pump must be controlled by setting the pump head (pumpBus.dp_Input). dp_Input must be given in meter water column. This is an idealized pump that can maintain the given pump pressure difference at all times. The hydraulic network's pressure difference will then determine the resulting volume flow. The idealized calculation in this model maybe advantegous in terms of speed in comparison to the red pump that will compute pressure head from volume flow rate and pump speed via polynomial functions. To make the two pumps exchangeable also the controllers must be exchangeable.

Power and Efficiency calculation

The power and the efficiency of the pump can be calculated, with the help of polynomial aproximations. Only use them if you have correct / complete data about the pump. The efficiency calculation depends on pump power. Pump power depends on correct pump speed. Therefore, in this model, the pump speed (n) will be approximated from volume flow rate (v_dot_m3_h) and pump head (head) using the inverse of the ABC formula. Only for this simple case of a quadratic polynomial the equation H=f(Q,N) can be inverted to the form N=f(Q,H). If you use more coefficients in the polynomial (cHQN) the inversion makes no sense and the calculated pump speed will probably be wrong leading to a useless power usage assumption. Therefore, an assertion will check if parameter 'calculatePower' was set true but the corresponding coefficients in pumpParam.cHQN ([3,1], [2,2] and [1,3]) are all zero OR if there are more than those 3 coefficients defined in cHQN. 

See the examples under package "Examples".

Hints

Qnom, the nominal or design volume flow rate of the pump, is given in m³/h and should be selected by the engineer. A good default value would be 67 % of Qmax .The default value, however, is set to 0.5*max(pumpParam.maxMinSpeedCurves[:, 1]). max(pumpParam.maxMinSpeedCurves[:, 1]) is the maximum value found in column 1 of table maxMinSpeedCurves. This however, is more than the real maximum volume flow rate of the pump as the the table is extended by additional rows for proper extrapolation of table values. In order to compensate for this excess value Qnom is by default only at 50 % of the maxMinSpeedCurves value. Please refer to the referenceDataQHPN matrix to find the real Qmax value. A simple alternative for the given assumption could be to introduce a parameter Qmax in the pump record that contains the exact value.

Assumption and limitations

Note assumptions such as a specific definition ranges for the model, possible medium models, allowed combinations with other models etc. There might be limitations of the model such as reduced accuracy under specific circumstances. Please note all those limitations you know of so a potential user won't make too serious mistakes

Dynamics

Describe which states and dynamics are present in the model and which parameters may be used to influence them. This need not be added in partial classes.

Validation

Describe whether the validation was done using analytical validation, comparative model validation or empirical validation.

Contents

NameDescription
 efficiencyCharacteristiceta = f(H, Q, P)

Revisions


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