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updated tower control sequences [ci skip]
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JayHuLBL committed Jan 25, 2024
1 parent b7c52aa commit e9ae31a
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Showing 8 changed files with 321 additions and 233 deletions.
Original file line number Diff line number Diff line change
Expand Up @@ -60,6 +60,9 @@ block WSEOperation
annotation (Placement(transformation(extent={{240,140},{280,180}}),
iconTransformation(extent={{100,-20},{140,20}})));

Buildings.Controls.OBC.CDL.Logical.Latch fanCycOff "Cycle off fan"
annotation (Placement(transformation(extent={{100,150},{120,170}})));

protected
Buildings.Controls.OBC.CDL.Logical.And and2
"Check if the fan is at minimum speed and the chiller water supply temperature is lower than the setpoint"
Expand Down Expand Up @@ -87,8 +90,6 @@ protected
annotation (Placement(transformation(extent={{-100,150},{-80,170}})));
Buildings.Controls.OBC.CDL.Logical.Not not1 "Logical not"
annotation (Placement(transformation(extent={{-60,150},{-40,170}})));
Buildings.Controls.OBC.CDL.Logical.Latch fanCycOff "Cycle off fan"
annotation (Placement(transformation(extent={{100,150},{120,170}})));
Buildings.Controls.OBC.CDL.Reals.Switch swi "Logical switch"
annotation (Placement(transformation(extent={{200,150},{220,170}})));
Buildings.Controls.OBC.CDL.Reals.Hysteresis hys3(
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Original file line number Diff line number Diff line change
Expand Up @@ -32,8 +32,8 @@ model StageProcesses
annotation (Placement(transformation(extent={{100,30},{120,50}})));
Buildings.Controls.OBC.CDL.Logical.Pre pre[4] "Tower cell actual status"
annotation (Placement(transformation(extent={{100,-10},{120,10}})));
Buildings.Controls.OBC.CDL.Discrete.ZeroOrderHold zerOrdHol1[4](
final samplePeriod=fill(10, 4)) "Isolation valve actual position"
Buildings.Controls.OBC.CDL.Discrete.ZeroOrderHold zerOrdHol1[4](final
samplePeriod=fill(10, 4)) "Isolation valve actual position"
annotation (Placement(transformation(extent={{100,-50},{120,-30}})));
Buildings.Controls.OBC.CDL.Logical.Pre pre1[4](
pre_u_start={false,true,true,false}) "Tower cell actual status"
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Original file line number Diff line number Diff line change
Expand Up @@ -9,81 +9,69 @@ model Controller "Validation sequence of tower cell controller"
final staVec={0,0.5,1,1.5,2},
final towCelOnSet={0,1,1,2,2})
"Cooling tower staging control, specifies total number of cells and the staging process"
annotation (Placement(transformation(extent={{40,-40},{60,-20}})));
annotation (Placement(transformation(extent={{40,-20},{60,0}})));
Buildings.Controls.OBC.CDL.Logical.Pre pre1[2] "Actual cells status"
annotation (Placement(transformation(extent={{80,-60},{100,-40}})));
annotation (Placement(transformation(extent={{80,-24},{100,-4}})));
Buildings.Controls.OBC.CDL.Discrete.ZeroOrderHold zerOrdHol[2](
final samplePeriod=fill(2, 2)) "Actual isolation valve positions"
annotation (Placement(transformation(extent={{80,-100},{100,-80}})));
annotation (Placement(transformation(extent={{80,-80},{100,-60}})));
Buildings.Controls.OBC.CDL.Logical.Sources.Pulse wseSta(
final width=0.15,
final period=3600,
final shift=300) "Water side economizer status"
annotation (Placement(transformation(extent={{-80,-70},{-60,-50}})));
annotation (Placement(transformation(extent={{-80,-50},{-60,-30}})));
Buildings.Controls.OBC.CDL.Reals.Sources.Ramp chiStaGen(
final height=1.2,
final duration=3600,
final offset=1) "Generate chiller stage"
annotation (Placement(transformation(extent={{-120,10},{-100,30}})));
annotation (Placement(transformation(extent={{-120,30},{-100,50}})));
Buildings.Controls.OBC.CDL.Conversions.RealToInteger chiStaSet
"Chiller stage setpoint"
annotation (Placement(transformation(extent={{-80,10},{-60,30}})));
annotation (Placement(transformation(extent={{-80,30},{-60,50}})));
Buildings.Controls.OBC.CDL.Logical.Sources.Pulse booPul2(
final width=0.75,
final period=3600) "Boolean pulse"
annotation (Placement(transformation(extent={{-120,-30},{-100,-10}})));
annotation (Placement(transformation(extent={{-120,-10},{-100,10}})));
Buildings.Controls.OBC.CDL.Logical.Not StaTow "Stage tower cells"
annotation (Placement(transformation(extent={{-80,-30},{-60,-10}})));
annotation (Placement(transformation(extent={{-80,-10},{-60,10}})));
Buildings.Controls.OBC.CDL.Reals.Sources.Constant conWatPumSpe[2](
final k=fill(0.5, 2)) "Condenser water pump speed"
annotation (Placement(transformation(extent={{-80,-130},{-60,-110}})));
annotation (Placement(transformation(extent={{-80,-110},{-60,-90}})));
Buildings.Controls.OBC.CDL.Logical.Sources.Constant con1(
final k=false)
"Constant false"
annotation (Placement(transformation(extent={{-120,120},{-100,140}})));
annotation (Placement(transformation(extent={{-120,110},{-100,130}})));
Buildings.Controls.OBC.CDL.Integers.Sources.Constant chiStaSet2(
final k=1)
"Chiller stage setpoint"
annotation (Placement(transformation(extent={{-80,90},{-60,110}})));
Buildings.Controls.OBC.CDL.Integers.Sources.Pulse pul1(
final width=0.001,
final period=3600)
"Block that generates pulse signal of type Integer at simulation start time and has infinite number of periods"
annotation (Placement(transformation(extent={{-120,50},{-100,70}})));
Buildings.Controls.OBC.CDL.Integers.Subtract intSub
"Chiller stage setpoint"
annotation (Placement(transformation(extent={{-40,70},{-20,90}})));
annotation (Placement(transformation(extent={{-80,70},{-60,90}})));
equation
connect(pre1.y, towSta.uTowSta)
annotation (Line(points={{102,-50},{120,-50},{120,-10},{-14,-10},{-14,-39},{
38,-39}}, color={255,0,255}));
annotation (Line(points={{102,-14},{120,-14},{120,10},{-14,10},{-14,-19},{38,
-19}}, color={255,0,255}));
connect(towSta.yIsoVal, zerOrdHol.u)
annotation (Line(points={{62,-30},{72,-30},{72,-90},{78,-90}}, color={0,0,127}));
annotation (Line(points={{62,-10},{70,-10},{70,-70},{78,-70}}, color={0,0,127}));
connect(zerOrdHol.y, towSta.uIsoVal)
annotation (Line(points={{102,-90},{120,-90},{120,-110},{-20,-110},{-20,-37},
{38,-37}}, color={0,0,127}));
annotation (Line(points={{102,-70},{120,-70},{120,-90},{-20,-90},{-20,-17},{
38,-17}}, color={0,0,127}));
connect(chiStaGen.y,chiStaSet. u)
annotation (Line(points={{-98,20},{-82,20}}, color={0,0,127}));
annotation (Line(points={{-98,40},{-82,40}}, color={0,0,127}));
connect(booPul2.y,StaTow. u)
annotation (Line(points={{-98,-20},{-82,-20}}, color={255,0,255}));
connect(chiStaSet.y, towSta.uChiStaSet) annotation (Line(points={{-58,20},{24,
20},{24,-23},{38,-23}}, color={255,127,0}));
connect(StaTow.y, towSta.uTowStaCha) annotation (Line(points={{-58,-20},{-40,-20},
{-40,-25},{38,-25}}, color={255,0,255}));
connect(wseSta.y, towSta.uWse) annotation (Line(points={{-58,-60},{-34,-60},{-34,
-27},{38,-27}}, color={255,0,255}));
connect(conWatPumSpe.y, towSta.uConWatPumSpe) annotation (Line(points={{-58,-120},
{-26,-120},{-26,-33},{38,-33}}, color={0,0,127}));
connect(towSta.yTowSta, pre1.u) annotation (Line(points={{62,-34},{68,-34},{68,
-50},{78,-50}}, color={255,0,255}));
connect(con1.y, towSta.uEnaPla) annotation (Line(points={{-98,130},{0,130},{0,
-29},{38,-29}}, color={255,0,255}));
connect(pul1.y, intSub.u2) annotation (Line(points={{-98,60},{-48,60},{-48,74},
{-42,74}}, color={255,127,0}));
connect(chiStaSet2.y, intSub.u1) annotation (Line(points={{-58,100},{-52,100},
{-52,86},{-42,86}}, color={255,127,0}));
connect(intSub.y, towSta.uChiSta) annotation (Line(points={{-18,80},{20,80},{20,
-21},{38,-21}}, color={255,127,0}));
annotation (Line(points={{-98,0},{-82,0}}, color={255,0,255}));
connect(chiStaSet.y, towSta.uChiStaSet) annotation (Line(points={{-58,40},{20,
40},{20,-3},{38,-3}}, color={255,127,0}));
connect(StaTow.y, towSta.uTowStaCha) annotation (Line(points={{-58,0},{-40,0},
{-40,-5},{38,-5}}, color={255,0,255}));
connect(wseSta.y, towSta.uWse) annotation (Line(points={{-58,-40},{-34,-40},{-34,
-7},{38,-7}}, color={255,0,255}));
connect(conWatPumSpe.y, towSta.uConWatPumSpe) annotation (Line(points={{-58,-100},
{-26,-100},{-26,-13},{38,-13}}, color={0,0,127}));
connect(towSta.yTowSta, pre1.u) annotation (Line(points={{62,-14},{78,-14}},
color={255,0,255}));
connect(con1.y, towSta.uEnaPla) annotation (Line(points={{-98,120},{0,120},{0,
-9},{38,-9}}, color={255,0,255}));
connect(chiStaSet2.y, towSta.uChiSta) annotation (Line(points={{-58,80},{30,80},
{30,-1},{38,-1}}, color={255,127,0}));
annotation (experiment(
StopTime=3600,
Tolerance=1e-06),
Expand All @@ -94,7 +82,50 @@ annotation (experiment(
This example validates
<a href=\"modelica://Buildings.Controls.OBC.ASHRAE.PrimarySystem.ChillerPlant.Towers.Staging.Controller\">
Buildings.Controls.OBC.ASHRAE.PrimarySystem.ChillerPlant.Towers.Staging.Controller</a>.
It shows the process of staging tower cells when there is chiller stage
setpoint change and the enabling-disabling waterside economizer.
</p>
<ul>
<li>
At begining, the current chiller stage is 1 and it starts to staging up tower cell 1.
During the begining stage, according to the vector <code>staVec</code> current plant
stage is 1 (the 3rd element of vector <code>staVec</code>). Thus according to the
vector <code>towCelOnSet</code>,
the total number of cell is 1. It takes 90 seconds to fully open the isolation
valve 1 (<code>yIsoVal[1]=1</code>) and then the cell 1 becomes enabled
(<code>uTowSta[1]=true</code>) at 90 seconds.
</li>
<li>
At 300 seconds, the waterside economizer is enabled. Thus the current plant stage
is 1.5 (the 4th element of vector <code>staVec</code>). Thus according to the
vector <code>towCelOnSet</code>, the total number of cell is 2. It takes 90
seconds to fully open the isolation valve 2 (<code>yIsoVal[2]=1</code>) and
then the cell 2 becomes enabled (<code>uTowSta[2]=true</code>) at 390 seconds.
</li>
<li>
At 840 seconds, the waterside economizer becomes disabled. Thus the current
plant stage changes to 1 (the 3rd element of vector <code>staVec</code>).
Thus according to the vector <code>towCelOnSet</code>, the total number of
cell is 1. The isolation valve 2 becomes closed (<code>yIsoVal[2]=0</code>)
and the cell 2 becomes disabled (<code>uTowSta[2]=false</code>) at 840
seconds.
</li>
<li>
At 1500 seconds, the chiller stage setpoint changes to 2 and the current stage
is still 1. Therefore the chiller plant begins staging up. However, the plant
staging up process has not yet been into the step of staging up the tower
(<code>uTowStaCha=false</code>). Thus there is no change to the tower cells
and their valves.
</li>
<li>
At 2700 seconds, it is still in the plant staging up process and it now requires
staging up tower cells. The plant stage is 2 (the 5th element of vector
<code>staVec</code>). Thus according to the vector <code>towCelOnSet</code>,
the total number of cell is 2. It takes 90 seconds to fully open the isolation
valve 2 (<code>yIsoVal[2]=1</code>) and then the cell 2 becomes enabled
(<code>uTowSta[2]=true</code>) at 2790 seconds.
</li>
</ul>
</html>", revisions="<html>
<ul>
<li>
Expand Down
Original file line number Diff line number Diff line change
@@ -1,4 +1,4 @@
last-generated=2021-08-31
last-generated=2024-01-24
statistics-simulation=
{
"linear": " ",
Expand All @@ -7,7 +7,8 @@ statistics-simulation=
"numerical Jacobians": "0"
}
time=[0e+00, 3.6e+03]
wseOpe.uFanSpe=[1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.007777750492096e-01, 1.027777791023254e-01, 1.047777757048607e-01, 1.067777797579765e-01, 1.087777763605118e-01, 1.107777804136276e-01, 1.127777770161629e-01, 1.147777810692787e-01, 1.16777777671814e-01, 1.187777742743492e-01, 1.207777783274651e-01, 1.227777749300003e-01, 1.247777789831161e-01, 1.26777783036232e-01, 1.287777721881866e-01, 1.307777762413025e-01, 1.327777802944183e-01, 1.347777843475342e-01, 1.367777734994888e-01, 1.387777775526047e-01, 1.407777816057205e-01, 1.427777707576752e-01, 1.44777774810791e-01, 1.467777788639069e-01, 1.487777829170227e-01, 1.507777720689774e-01, 1.527777761220932e-01, 1.54777780175209e-01, 1.567777842283249e-01, 1.587777733802795e-01, 1.607777774333954e-01, 1.627777814865112e-01, 1.647777706384659e-01, 1.667777746915817e-01, 1.687777787446976e-01, 1.707777827978134e-01, 1.727777719497681e-01, 1.747777760028839e-01, 1.767777800559998e-01, 1.787777841091156e-01, 1.807777732610703e-01, 1.827777773141861e-01, 1.847777813673019e-01, 1.867777705192566e-01, 1.887777745723724e-01, 1.907777786254883e-01, 1.927777826786041e-01, 1.947777718305588e-01, 1.967777758836746e-01, 1.987777799367905e-01, 2.007777839899063e-01, 2.02777773141861e-01]
wseOpe.uFanSpe=[1.089999973773956e-01, 1.967327892780304e-01, 3.266838192939758e-01, 4.958842098712921e-01, 7.026888728141785e-01, 9.448598623275757e-01, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 9.951465129852294e-01, 9.555287361145017e-01, 8.783133029937744e-01, 7.657405734062195e-01, 6.206079721450806e-01, 4.462264478206635e-01, 2.463681846857071e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 3.666619956493414e-01, 9.611662030220032e-01, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00]
wseOpe.TChiWatSup=[2.8025e+02, 2.803126525878906e+02, 2.803743591308594e+02, 2.804340515136719e+02, 2.804908752441406e+02, 2.805438842773438e+02, 2.8059228515625e+02, 2.8063525390625e+02, 2.806721496582031e+02, 2.807024230957031e+02, 2.807255249023438e+02, 2.807411499023438e+02, 2.807490234375e+02, 2.807490234375e+02, 2.807411499023438e+02, 2.807255249023438e+02, 2.807024230957031e+02, 2.806721496582031e+02, 2.8063525390625e+02, 2.8059228515625e+02, 2.805438842773438e+02, 2.804908752441406e+02, 2.804340515136719e+02, 2.803743591308594e+02, 2.803126525878906e+02, 2.8025e+02, 2.801873474121094e+02, 2.801256408691406e+02, 2.800659484863281e+02, 2.800091247558594e+02, 2.799561157226562e+02, 2.7990771484375e+02, 2.7986474609375e+02, 2.798278503417969e+02, 2.797975769042969e+02, 2.797744750976562e+02, 2.797588500976562e+02, 2.797509765625e+02, 2.797509765625e+02, 2.797588500976562e+02, 2.797744750976562e+02, 2.797975769042969e+02, 2.798378295898438e+02, 2.799047546386719e+02, 2.799777221679688e+02, 2.800561218261719e+02, 2.801391296386719e+02, 2.802259521484375e+02, 2.803156433105469e+02, 2.804073486328125e+02, 2.805e+02, 2.805926513671875e+02, 2.806843566894531e+02, 2.807740478515625e+02, 2.808608703613281e+02, 2.809438781738281e+02, 2.810222778320312e+02, 2.810952453613281e+02, 2.811621704101562e+02, 2.81222412109375e+02, 2.812755432128906e+02, 2.813211364746094e+02, 2.813590087890625e+02, 2.813890075683594e+02, 2.814111328125e+02, 2.81425537109375e+02, 2.814324035644531e+02, 2.814321594238281e+02, 2.814252624511719e+02, 2.814122619628906e+02, 2.813938903808594e+02, 2.813708801269531e+02, 2.813440551757812e+02, 2.813143310546875e+02, 2.812826538085938e+02, 2.8125e+02, 2.812173461914062e+02, 2.811856689453125e+02, 2.811559448242188e+02, 2.811291198730469e+02, 2.811061096191406e+02, 2.810877380371094e+02, 2.810747375488281e+02, 2.810678405761719e+02, 2.810675964355469e+02, 2.81074462890625e+02, 2.810888671875e+02, 2.811109924316406e+02, 2.811409912109375e+02, 2.811788635253906e+02, 2.812244567871094e+02, 2.81277587890625e+02, 2.813378295898438e+02, 2.814047546386719e+02, 2.814777221679688e+02, 2.815561218261719e+02, 2.816391296386719e+02, 2.817259521484375e+02, 2.818156433105469e+02, 2.819073486328125e+02, 2.82e+02]
wseOpe.TChiWatSupSet=[2.801499938964844e+02, 2.801499938964844e+02]
wseOpe.ySpeSet=[1.899999976158142e-01, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 6.637661457061703e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00]
wseOpe.ySpeSet=[1.089999973773956e-01, 1.998019963502884e-01, 3.30860048532486e-01, 5.011300444602966e-01, 7.089499831199646e-01, 9.520659446716309e-01, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 9.945697188377379e-01, 9.538825154304502e-01, 8.75652015209198e-01, 7.621346116065979e-01, 6.161425709724426e-01, 4.41000372171402e-01, 2.404923141002655e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 1.000000014901161e-01, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 3.825346827507055e-01, 9.783401489257812e-01, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00]
wseOpe.fanCycOff.y=[0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00, 0e+00]
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