[TRNSYS-users] SDHW using ETC (Type 71) & Tank with coiled HX (Type 534)

Anas Majdouli majdouli_anas at hotmail.fr
Mon Jun 22 01:54:32 PDT 2015


Hi TRNsys community,

It has been a long while that I am working on this simulation, trying to fix the errors and improve the worksheet. This is a 48 hours SDHW simulation for bath and shower in Singapore. I use Type 99 for ambiant temperature and irradiance (delivered by the lab) and Type 15-6 for the others parameters required for the collector (Type 71). 

Type 14b is used to define a water draw profile. Type 14 is used as a forcing function for the pump in the solar loop. Type 534 contains one immersed coiled HX, and temperature inside is controlled by an aquastat which is linked to an 2 stages auxiliary heater. The parameters of the collector and the tank are from existing brands. For the moment, I only considered a 2.66 m^2 collector. 

I would like to have your feedback on the simulation. Is it working as it supposed to be ? 
The temperature difference between inlet and outlet of the collector seems low. Is it normal ? 
What's more, the inlet temp has the same behavior as the outlet temp (same oscillations). The inlet temp shouldn't be more less variating and colder than the outlet temp because of the heat exchange from the immersed coiled HX to the tank ?

Thank you in advance for your feedback and help. Any comment and/or suggestion is welcomed !

P.S : In the plot, the right axis is set from -15000 to +15000 kJ/kg because of Q-HX which is negative. Indeed, according to the documentation, the output (HX heat transfer) is the rate at which energy is transferred into the specified heat exchanger from heat exchange with the storage tank fluid.

Yours Sincerely,
Anas MAJDOULI
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Solar Energy Research Institute of Singapore (SERIS) - Intern
 		 	   		  
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29.356	298.879
29.389	503.64
29.439	472.67
29.431	332.333
29.492	354.355
29.592	503.542
29.599	432.692
29.58	377.49
29.545	384.153
29.496	454.486
29.434	468.941
29.394	572.802
29.384	780.655
29.411	550.348
29.484	505.024
29.563	910.477
29.721	826.995
29.83	389.185
29.886	368.304
29.971	265.82
30.051	195.687
30.097	194.705
30.136	194.63
30.137	201.134
30.123	208.715
30.031	215.309
29.886	220.657
29.786	232.313
29.751	240.14
29.774	252.585
29.806	267.679
29.826	281.05
29.887	299.543
29.883	330.613
29.902	730.885
29.989	968.704
30.011	1005.705
30.103	914.375
30.238	519.5
30.339	728.501
30.429	914.383
30.507	921.685
30.609	909.808
30.81	975.74
30.98	671.66
30.995	359.365
30.955	318.275
31	615.201
31.085	957.27
31.022	975.638
30.874	916.966
30.778	1005.827
30.685	683.08
30.559	863.369
30.449	1027.602
30.385	1034.422
30.384	969.016
30.495	1076.059
30.621	913.213
30.684	368.952
30.664	337.954
30.549	678.742
30.466	966.775
30.43	1008.106
30.438	1042.558
30.511	1069.025
30.532	1057.428
30.511	1036.933
30.539	534.031
30.547	459.433
30.478	622.237
30.427	473.712
30.402	339.823
30.397	351.145
30.392	406.526
30.372	451.393
30.325	811.084
30.315	1101.069
30.347	1091.749
30.422	1056.039
30.494	1051.514
30.615	759.523
30.714	495.514
30.791	774.84
30.914	1035.874
31.066	656.414
31.232	968.142
31.41	1001.621
31.39	855.296
31.169	387.184
31.014	357.497
30.937	280.311
30.894	247.931
30.814	252.135
30.599	269.048
30.422	289.571
30.227	297.458
30.091	325.98
29.956	626.802
29.771	908.067
29.635	925.158
29.608	923.161
29.628	922.231
29.68	915.641
29.763	917.161
29.891	909.095
29.944	893.033
29.94	891.967
30.012	886.243
30.101	890.322
30.134	871.711
30.1	853.446
30.07	849.6
30.091	853.402
30.074	856.153
30.02	869.106
30.073	870.205
30.121	866.339
30.133	870.46
30.165	880.314
30.253	896.754
30.389	860.311
30.473	903.945
30.583	435.949
30.596	686.194
30.545	383.236
30.452	578.094
30.373	900.151
30.329	913.387
30.297	543.437
30.245	342.659
30.213	274.928
30.195	265.904
30.209	420.71
30.225	702.237
30.264	258.285
30.332	207.234
30.272	208.385
30.206	221.868
30.139	464.681
30.051	676.022
29.936	705.001
29.954	597.557
30.05	784.822
30.165	781.156
30.327	769.047
30.419	770.865
30.357	769.966
30.415	753.573
30.547	532.668
30.653	792.675
30.771	796.904
30.755	793.003
30.634	795.843
30.571	783.241
30.502	721.068
30.494	469.806
30.483	464.762
30.438	274.646
30.377	237.133
30.404	235.07
30.448	245.396
30.395	243.689
30.278	301.697
30.245	401.29
30.269	375.748
30.226	269.014
30.142	230.539
30.113	291.08
30.092	336.894
30.024	475.739
29.965	503.913
29.979	492.35
29.981	474.356
30.04	478.132
30.061	512.651
30.036	547.621
30.057	561.773
30.119	581.33
30.196	597.705
30.267	594.458
30.392	620.916
30.428	630.377
30.39	596.958
30.513	558.552
30.599	586.056
30.571	601.015
30.584	579.803
30.598	609.79
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30.525	476.657
30.493	444.487
30.492	315.318
30.573	489.139
30.658	582.977
30.687	492.857
30.622	461.539
30.558	571.329
30.495	550.235
30.515	558.916
30.516	606.008
30.309	636.603
30.264	646.43
30.294	587.963
30.293	355.71
30.289	380.807
30.268	385.061
30.241	556.015
30.181	541.265
30.128	521.043
30.134	512.721
30.186	510.347
30.21	504.22
30.235	519.566
30.128	513.117
30.051	498.83
30.021	386.397
29.965	494.898
29.966	493.089
30.011	474.27
30.036	491.175
30.032	463.199
30.045	427.095
30.013	323.926
29.986	426.481
30.055	379.476
30.031	246.989
29.94	167.201
29.843	150.731
29.776	146.394
29.757	144.298
29.728	144.818
29.644	142.712
29.584	137.439
29.568	133.865
29.521	135.126
29.452	140.266
29.415	155.859
29.4	187.655
29.391	157.168
29.355	149.326
29.337	151.388
29.364	152.281
29.375	151.27
29.408	150.843
29.452	152.406
29.466	153.167
29.375	154.71
29.289	157.92
29.211	160.604
29.173	160.653
29.17	158.707
29.166	155.618
29.187	152.13
29.196	148.794
29.198	146.968
29.232	146.434
29.242	147.266
29.201	147.728
29.144	147.441
29.078	145.61
29.032	142.794
29.026	139.641
29.05	136.702
29.039	134.506
29.036	133.262
29.065	133.2
29.075	134.214
29.078	134.832
29.049	135.644
29.028	135.944
28.984	134.092
28.954	131.752
28.913	129.95
28.892	128.719
28.91	126.987
28.896	125.1
28.867	122.769
28.891	119.747
28.907	116.542
28.881	113.87
28.865	114.008
28.833	120.49
28.795	121.139
28.759	114.106
28.777	110.912
28.815	110.292
28.801	109.103
28.763	107.531
28.736	106.221
28.735	105.614
28.745	105.298
28.76	104.029
28.722	101.393
28.722	98.698
28.73	97.014
28.739	96.19
28.72	95.064
28.659	94.155
28.61	92.873
28.608	91.44
28.611	89.826
28.622	88.501
28.608	87.239
28.554	85.849
28.516	84.638
28.526	83.788
28.531	82.219
28.523	79.41
28.494	77.799
28.443	76.456
28.411	75.187
28.397	74.118
28.388	73.857
28.4	75.839
28.397	77.858
28.409	78.296
28.438	79.021
28.469	78.115
28.506	75.929
28.55	72.764
28.561	73.38
28.501	71.537
28.461	68.615
28.464	65.95
28.481	63.748
28.472	61.603
28.435	59.981
28.418	58.382
28.424	56.468
28.429	54.148
28.412	52.188
28.38	49.897
28.343	47.402
28.297	44.926
28.269	42.26
28.234	39.595
28.199	37.059
28.175	34.54
28.159	32.665
28.153	30.784
28.124	29.116
28.077	27.345
28.029	25.511
27.983	23.852
27.958	22.296
27.944	21.209
27.936	20.527
27.926	19.424
27.906	18.02
27.891	16.403
27.878	15.042
27.863	14.307
27.847	13.778
27.843	12.239
27.82	10.936
27.795	9.902
27.778	8.885
27.762	8.019
27.747	6.852
27.746	5.956
27.738	5.003
27.726	4.243
27.711	3.13
27.706	2.713
27.7	2.287
27.686	1.813
27.668	1.843
27.662	1.758
27.644	1.357
27.628	0.996
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27.616	0.689
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25.169	0.022
25.167	0.179
25.166	0.218
25.166	0.357
25.167	0.461
25.166	0.171
25.156	0.12
25.145	0.093
25.143	0.138
25.142	0.23
25.145	0.155
25.145	0.187
25.141	0.072
25.134	0.174
25.135	0.201
25.142	0.13
25.143	0.26
25.14	0.227
25.145	0.224
25.144	0.249
25.139	0.158
25.135	0.119
25.132	0.113
25.132	-0.032
25.132	0.49
25.132	0.264
25.124	0.127
25.123	0.312
25.127	0.286
25.129	0.116
25.122	0.371
25.123	0.216
25.125	0.304
25.122	0.356
25.121	0.268
25.12	-0.002
25.118	0.207
25.116	0.147
25.108	0.179
25.105	0.146
25.104	0.208
25.104	0.18
25.104	-0.142
25.101	0.213
25.1	0.25
25.099	0.247
25.097	0.186
25.089	0.173
25.088	0.119
25.087	0.039
25.082	0.327
25.078	0.344
25.073	0.098
25.062	0.08
25.059	0.156
25.062	0.225
25.058	0.232
25.053	0.169
25.043	0.141
25.034	0.118
25.029	0.185
25.026	0.025
25.021	0.262
25.015	0.134
25.009	0.035
25.006	0.129
25.005	0.202
25.003	0.206
25.001	0.195
24.998	0.226
25.001	0.16
24.994	0.176
24.993	0.311
24.99	0.008
24.986	0.24
24.98	0.296
24.977	0.199
24.98	0.199
24.979	0.026
24.974	0.262
24.968	0.243
24.963	0.118
24.964	0.092
24.959	0.294
24.948	0.182
24.945	0.214
24.944	0.262
24.948	0.238
24.95	0.29
24.948	0.207
24.948	0.149
24.947	0.012
24.944	0.351
24.946	0.007
24.943	-0.035
24.94	0.315
24.937	0.16
24.935	0.304
24.93	0.13
24.928	0.304
24.926	0.224
24.923	0.222
24.927	0.247
24.937	-0.031
24.945	0.198
24.951	0.239
24.955	0.2
24.958	0.218
24.96	0.07
24.961	0.093
24.956	0.342
24.948	0.132
24.94	0.19
24.933	0.153
24.924	0.252
24.909	0.048
24.894	0.329
24.883	0.36
24.883	0.167
24.884	0.269
24.884	0.121
24.881	0.439
24.88	0.332
24.874	0.357
24.867	0.059
24.872	0.207
24.877	0.078
24.877	0.185
24.873	0.072
24.869	0.189
24.859	0.185
24.861	0.068
24.864	0.274
24.866	0.072
24.864	0.215
24.856	0.191
24.846	0.252
24.844	0.235
24.834	0.195
24.823	0.327
24.825	0.299
24.829	0.135
24.83	0.206
24.83	0.191
24.828	0.334
24.823	0.134
24.819	0.118
24.817	0.15
24.816	0.037
24.813	0.147
24.81	0.19
24.816	0.231
24.818	0.232
24.819	0.195
24.819	0.181
24.815	0.439
24.812	0.226
24.815	0.334
24.814	0.296
24.808	0.19
24.799	0.2
24.8	0.214
24.802	0.197
24.805	0.454
24.807	0.157
24.802	0.206
24.795	0.226
24.792	0.429
24.793	0.201
24.794	0.191
24.788	0.346
24.782	0.241
24.785	0.238
24.789	0.206
24.796	0.197
24.803	0.159
24.8	0.238
24.78	0.319
24.779	0.363
24.784	0.39
24.792	0.198
24.786	0.517
24.791	0.381
24.802	0.292
24.809	0.607
24.81	0.585
24.804	0.854
24.8	1.112
24.806	0.945
24.807	1.237
24.805	1.549
24.806	1.627
24.806	2.153
24.809	2.192
24.809	2.453
24.801	2.787
24.802	3.403
24.802	4.666
24.801	5.369
24.801	6.175
24.8	6.817
24.799	7.627
24.797	8.549
24.794	9.551
24.795	10.105
24.793	11.015
24.791	12.006
24.791	12.752
24.781	13.808
24.782	15.377
24.782	17.048
24.783	18.042
24.765	18.424
24.747	18.939
24.748	19.709
24.735	20.711
24.723	22.635
24.716	24.429
24.72	26.627
24.72	28.876
24.738	31.615
24.754	34.685
24.754	38.91
24.753	44.706
24.769	46.588
24.779	41.774
24.793	39.183
24.813	36.837
24.831	33.586
24.845	34.064
24.842	35.896
24.83	37.011
24.832	39.301
24.85	41.894
24.861	44.489
24.881	46.162
24.901	47.194
24.917	45.207
24.931	44.53
24.936	40.812
24.939	39.606
24.941	41.655
24.942	44.28
24.949	47.598
24.949	46.237
24.957	45.009
24.971	46.747
24.975	53.483
24.985	66.336
24.991	83.223
25.004	94.229
25.023	79.452
25.043	76.212
25.056	76.451
25.068	76.971
25.082	68.328
25.086	60.993
25.1	62.231
25.113	66.472
25.119	81.021
25.14	94.863
25.162	114.037
25.19	111.528
25.213	113.819
25.235	147.553
25.272	156.984
25.318	157.448
25.385	159.533
25.439	170.981
25.488	171.469
25.534	174.202
25.576	174.37
25.631	188.978
25.674	187.441
25.721	188.424
25.772	194.258
25.827	203.523
25.915	218.607
26.024	226.759
26.103	225.372
26.153	223.45
26.159	214.792
26.148	198.06
26.139	250.798
26.143	276.624
26.189	273.598
26.266	282.686
26.369	305.259
26.446	322.974
26.53	313.242
26.649	306.379
26.786	336.549
26.9	296.344
26.909	266.327
26.9	262.752
26.875	245.526
26.877	270.678
26.904	213.633
26.916	207.647
26.877	171.138
26.81	293.263
26.806	259.035
26.827	159.043
26.852	235.662
26.888	322.238
26.915	274.654
26.907	161.837
26.862	158.703
26.823	283.334
26.766	312.214
26.74	197.507
26.746	334.029
26.777	281.755
26.802	263.04
26.838	181.787
26.897	269.064
26.956	358.419
27.013	340.673
26.977	337.491
26.918	410.358
26.932	328.234
26.999	292.888
27.073	396.742
27.109	414.083
27.142	429.708
27.186	337.858
27.251	427.789
27.368	449.093
27.465	383.888
27.542	440.104
27.635	280.152
27.659	517.819
27.648	381.416
27.623	465.126
27.684	476.202
27.788	523.791
27.908	434.211
28.027	375.694
28.044	423.471
28.062	524.679
28.092	556.994
28.056	418.543
27.944	432.746
27.892	476.128
27.906	494.745
27.935	452.703
27.889	259.89
27.828	314.354
27.809	276.848
27.769	370.723
27.726	558.023
27.726	537.889
27.759	544.04
27.772	412.535
27.759	584.085
27.77	287.662
27.815	263.502
27.84	250.892
27.847	220.712
27.791	190.112
27.736	175.773
27.732	168.261
27.64	184.542
27.534	265.994
27.474	241.377
27.424	150.004
27.414	300.48
27.454	244.456
27.473	132.145
27.486	130.503
27.463	145.446
27.414	253.881
27.413	560.712
27.457	172.345
27.501	451.678
27.594	348.526
27.682	334.597
27.751	166.878
27.746	190.024
27.733	616.237
27.774	637.442
27.81	640.314
27.852	644.87
27.866	673.812
27.915	712.955
28.036	727.227
28.183	531.839
28.298	698.521
28.368	697.724
28.342	370.537
28.379	340.249
28.474	430.927
28.534	480.16
28.531	441.174
28.426	715.136
28.4	425.03
28.415	253.97
28.406	558.772
28.433	531.499
28.369	374.585
28.31	320.886
28.289	282.956
28.222	343.551
28.207	284.521
28.21	352.967
28.203	572.179
28.163	545.475
28.184	699.854
28.231	717.966
28.264	757.61
28.345	603.565
28.457	582.163
28.559	326.258
28.529	365.023
28.519	795.646
28.567	724.484
28.662	670.312
28.784	264.852
28.892	320.005
28.92	693.261
28.923	513.743
28.879	298.192
28.806	549.329
28.827	863.547
28.893	873.519
29	870.355
29.155	753.241
29.29	868.554
29.373	288.776
29.341	215.205
29.331	239.669
29.291	261.514
29.197	291.804
29.1	662.114
29.113	844.699
29.152	337.495
29.108	811.197
29.092	861.287
29.14	809.219
29.223	906.326
29.195	888.668
29.147	872.466
29.119	861.875
29.132	741.619
29.237	869.322
29.41	867.027
29.479	917.252
29.547	434.581
29.538	329.676
29.557	766.233
29.528	451.156
29.514	935.296
29.588	664.627
29.703	937.886
29.786	944.465
29.735	550.921
29.706	944.527
29.796	967.06
29.886	628.586
29.871	408.095
29.79	292.2
29.768	294.322
29.763	710.979
29.762	402.254
29.708	508.243
29.615	560.881
29.623	614.206
29.685	536.955
29.762	884.49
29.859	887.576
29.949	914.315
30.065	861.198
30.119	771.654
30.19	766.003
30.185	841.587
30.119	846.789
30.046	870.955
30.035	870.996
30.059	895.044
30.059	889.159
30.047	887.857
30.089	893.71
30.166	887.777
30.279	894.066
30.46	908.634
30.586	932.47
30.624	904.957
30.551	917.097
30.374	930.684
30.256	919.493
30.198	894.656
30.142	954.498
30.113	961.492
30.078	971.126
30.024	976.011
30.019	992.704
29.995	1005.847
29.99	1019.985
29.963	1039.593
29.988	1051.586
30.058	1013.297
30.112	854.364
30.22	1008.524
30.236	928.599
30.307	537.53
30.434	604.407
30.593	771.901
30.737	363.255
30.851	387.489
30.861	848.099
30.749	938.049
30.66	585.982
30.638	481.747
30.629	306.379
30.551	294.508
30.487	322.966
30.412	264.863
30.338	229.593
30.343	233.574
30.352	255.165
30.333	302.064
30.358	314.44
30.382	339.094
30.414	365.062
30.388	417.309
30.391	951.714
30.496	1128.618
30.623	1112.514
30.577	650.284
30.616	743.12
30.656	453.092
30.61	364.852
30.559	346.937
30.498	389.798
30.407	489.837
30.328	1028.073
30.301	920.592
30.283	770.927
30.287	440.045
30.204	342.888
30.073	314.645
29.919	291.786
29.683	291.424
29.542	295.881
29.447	306.164
29.325	324.214
29.247	341.217
29.23	408.734
29.215	638.96
29.189	837.091
29.186	975.601
29.211	997.162
29.247	725.949
29.295	303.407
29.356	298.879
29.389	503.64
29.439	472.67
29.431	332.333
29.492	354.355
29.592	503.542
29.599	432.692
29.58	377.49
29.545	384.153
29.496	454.486
29.434	468.941
29.394	572.802
29.384	780.655
29.411	550.348
29.484	505.024
29.563	910.477
29.721	826.995
29.83	389.185
29.886	368.304
29.971	265.82
30.051	195.687
30.097	194.705
30.136	194.63
30.137	201.134
30.123	208.715
30.031	215.309
29.886	220.657
29.786	232.313
29.751	240.14
29.774	252.585
29.806	267.679
29.826	281.05
29.887	299.543
29.883	330.613
29.902	730.885
29.989	968.704
30.011	1005.705
30.103	914.375
30.238	519.5
30.339	728.501
30.429	914.383
30.507	921.685
30.609	909.808
30.81	975.74
30.98	671.66
30.995	359.365
30.955	318.275
31	615.201
31.085	957.27
31.022	975.638
30.874	916.966
30.778	1005.827
30.685	683.08
30.559	863.369
30.449	1027.602
30.385	1034.422
30.384	969.016
30.495	1076.059
30.621	913.213
30.684	368.952
30.664	337.954
30.549	678.742
30.466	966.775
30.43	1008.106
30.438	1042.558
30.511	1069.025
30.532	1057.428
30.511	1036.933
30.539	534.031
30.547	459.433
30.478	622.237
30.427	473.712
30.402	339.823
30.397	351.145
30.392	406.526
30.372	451.393
30.325	811.084
30.315	1101.069
30.347	1091.749
30.422	1056.039
30.494	1051.514
30.615	759.523
30.714	495.514
30.791	774.84
30.914	1035.874
31.066	656.414
31.232	968.142
31.41	1001.621
31.39	855.296
31.169	387.184
31.014	357.497
30.937	280.311
30.894	247.931
30.814	252.135
30.599	269.048
30.422	289.571
30.227	297.458
30.091	325.98
29.956	626.802
29.771	908.067
29.635	925.158
29.608	923.161
29.628	922.231
29.68	915.641
29.763	917.161
29.891	909.095
29.944	893.033
29.94	891.967
30.012	886.243
30.101	890.322
30.134	871.711
30.1	853.446
30.07	849.6
30.091	853.402
30.074	856.153
30.02	869.106
30.073	870.205
30.121	866.339
30.133	870.46
30.165	880.314
30.253	896.754
30.389	860.311
30.473	903.945
30.583	435.949
30.596	686.194
30.545	383.236
30.452	578.094
30.373	900.151
30.329	913.387
30.297	543.437
30.245	342.659
30.213	274.928
30.195	265.904
30.209	420.71
30.225	702.237
30.264	258.285
30.332	207.234
30.272	208.385
30.206	221.868
30.139	464.681
30.051	676.022
29.936	705.001
29.954	597.557
30.05	784.822
30.165	781.156
30.327	769.047
30.419	770.865
30.357	769.966
30.415	753.573
30.547	532.668
30.653	792.675
30.771	796.904
30.755	793.003
30.634	795.843
30.571	783.241
30.502	721.068
30.494	469.806
30.483	464.762
30.438	274.646
30.377	237.133
30.404	235.07
30.448	245.396
30.395	243.689
30.278	301.697
30.245	401.29
30.269	375.748
30.226	269.014
30.142	230.539
30.113	291.08
30.092	336.894
30.024	475.739
29.965	503.913
29.979	492.35
29.981	474.356
30.04	478.132
30.061	512.651
30.036	547.621
30.057	561.773
30.119	581.33
30.196	597.705
30.267	594.458
30.392	620.916
30.428	630.377
30.39	596.958
30.513	558.552
30.599	586.056
30.571	601.015
30.584	579.803
30.598	609.79
30.549	558.523
30.525	476.657
30.493	444.487
30.492	315.318
30.573	489.139
30.658	582.977
30.687	492.857
30.622	461.539
30.558	571.329
30.495	550.235
30.515	558.916
30.516	606.008
30.309	636.603
30.264	646.43
30.294	587.963
30.293	355.71
30.289	380.807
30.268	385.061
30.241	556.015
30.181	541.265
30.128	521.043
30.134	512.721
30.186	510.347
30.21	504.22
30.235	519.566
30.128	513.117
30.051	498.83
30.021	386.397
29.965	494.898
29.966	493.089
30.011	474.27
30.036	491.175
30.032	463.199
30.045	427.095
30.013	323.926
29.986	426.481
30.055	379.476
30.031	246.989
29.94	167.201
29.843	150.731
29.776	146.394
29.757	144.298
29.728	144.818
29.644	142.712
29.584	137.439
29.568	133.865
29.521	135.126
29.452	140.266
29.415	155.859
29.4	187.655
29.391	157.168
29.355	149.326
29.337	151.388
29.364	152.281
29.375	151.27
29.408	150.843
29.452	152.406
29.466	153.167
29.375	154.71
29.289	157.92
29.211	160.604
29.173	160.653
29.17	158.707
29.166	155.618
29.187	152.13
29.196	148.794
29.198	146.968
29.232	146.434
29.242	147.266
29.201	147.728
29.144	147.441
29.078	145.61
29.032	142.794
29.026	139.641
29.05	136.702
29.039	134.506
29.036	133.262
29.065	133.2
29.075	134.214
29.078	134.832
29.049	135.644
29.028	135.944
28.984	134.092
28.954	131.752
28.913	129.95
28.892	128.719
28.91	126.987
28.896	125.1
28.867	122.769
28.891	119.747
28.907	116.542
28.881	113.87
28.865	114.008
28.833	120.49
28.795	121.139
28.759	114.106
28.777	110.912
28.815	110.292
28.801	109.103
28.763	107.531
28.736	106.221
28.735	105.614
28.745	105.298
28.76	104.029
28.722	101.393
28.722	98.698
28.73	97.014
28.739	96.19
28.72	95.064
28.659	94.155
28.61	92.873
28.608	91.44
28.611	89.826
28.622	88.501
28.608	87.239
28.554	85.849
28.516	84.638
28.526	83.788
28.531	82.219
28.523	79.41
28.494	77.799
28.443	76.456
28.411	75.187
28.397	74.118
28.388	73.857
28.4	75.839
28.397	77.858
28.409	78.296
28.438	79.021
28.469	78.115
28.506	75.929
28.55	72.764
28.561	73.38
28.501	71.537
28.461	68.615
28.464	65.95
28.481	63.748
28.472	61.603
28.435	59.981
28.418	58.382
28.424	56.468
28.429	54.148
28.412	52.188
28.38	49.897
28.343	47.402
28.297	44.926
28.269	42.26
28.234	39.595
28.199	37.059
28.175	34.54
28.159	32.665
28.153	30.784
28.124	29.116
28.077	27.345
28.029	25.511
27.983	23.852
27.958	22.296
27.944	21.209
27.936	20.527
27.926	19.424
27.906	18.02
27.891	16.403
27.878	15.042
27.863	14.307
27.847	13.778
27.843	12.239
27.82	10.936
27.795	9.902
27.778	8.885
27.762	8.019
27.747	6.852
27.746	5.956
27.738	5.003
27.726	4.243
27.711	3.13
27.706	2.713
27.7	2.287
27.686	1.813
27.668	1.843
27.662	1.758
27.644	1.357
27.628	0.996
27.626	1.117
27.616	0.689
27.608	0.811
27.592	0.585
27.576	0.441
27.561	0.469
27.564	0.518
27.554	0.407
27.552	0.187
27.55	0.296
27.551	0.221
27.554	0.085
27.534	0.237
27.522	0.095
27.521	0.185
27.505	0.329
27.489	0.048
27.49	0.032
27.462	0.238
27.432	0.113
27.41	0.255
27.397	0.37
27.38	0.104
27.371	0.039
27.359	0.237
27.342	0.184
27.335	0.179
27.342	0.197
27.347	0.275
27.328	0.21
27.316	-0.059
27.319	0.176
27.329	0.192
27.329	0.155
27.315	0.248
27.295	0.257
27.29	0.136
27.279	0.141
27.263	0.155
27.254	0.186
27.246	0.372
27.229	0.149
27.204	0.345
27.187	0.233
27.18	0.148
27.159	0.215
27.147	0.253
27.141	0.124
27.134	0.09
27.126	0.149
27.111	0.099
27.081	0.277
27.065	0.23
27.071	0.352
27.07	0.117
27.054	0.054
27.05	0.218
27.043	0.143
27.024	0.202
27.002	0.209
26.996	0.057
26.979	-0.067
26.966	0.179
26.961	0.15
26.945	0.094
26.934	0.143
26.924	0.153
26.919	0.038
26.919	-0.028
26.911	0.149
26.891	0.192
26.867	0.315
26.855	0.316
26.853	-0.063
26.847	0.273
26.849	0.128
26.849	0.122
26.841	0.113
26.829	0.073
26.82	0.107
26.81	0.201
26.808	0.118
26.801	0.092
26.796	0.218
26.798	0.101
26.79	0.182
26.783	0.146
26.777	0.194
26.775	0.156
26.761	0.141
26.757	0.253
26.751	0.16
26.745	0.425
26.742	0.155
26.742	0.001
26.733	0.258
26.728	0.002
26.73	0.316
26.717	0.173
26.702	0.267
26.7	0.164
26.703	0.177
26.702	0.059
26.689	0.148
26.676	0.29
26.671	0.128
26.66	0.085
26.658	0.362
26.656	0.281
26.647	0.132
26.634	0.159
26.629	0.203
26.617	0.135
26.597	0.242
26.585	0.203
26.581	0.263
26.578	0.131
26.574	0.067
26.582	0.417
26.589	-0.005
26.576	0.007
26.566	0.166
26.56	-0.015
26.559	0.186
26.558	0.129
26.544	0.013
26.535	0.108
26.524	0.377
26.505	0.114
26.5	0.019
26.506	0.001
26.505	0.31
26.492	0.259
26.47	0.261
26.453	0.338
26.437	0.378
26.418	0.203
26.401	0.183
26.384	0.288
26.374	0.272
26.368	0.292
26.36	0.369
26.348	0.182
26.335	0.175
26.323	0.028
26.311	0.213
26.304	0.222
26.305	0.181
26.31	0.24
26.316	0.197
26.311	0.141
26.31	-0.008
26.295	0.275
26.288	0.226
26.295	-0.069
26.31	0.021
26.327	0.223
26.334	0
26.328	-0.028
26.326	0.228
26.326	0.174
26.316	0.032
26.311	0.129
26.309	0.333
26.307	0.153
26.305	0.09
26.306	0.162
26.301	0.196
26.298	0.225
26.289	0.094
26.276	0.297
26.275	0.215
26.267	0.13
26.256	-0.11
26.245	0.271
26.231	0.053
26.217	0.201
26.206	0.199
26.193	-0.023
26.189	0.191
26.179	0.165
26.164	0.235
26.158	0.091
26.141	0.265
26.13	0.114
26.125	0.151
26.128	0.125
26.13	0.078
26.139	0.028
26.141	0.065
26.14	0.127
26.128	0.234
26.125	-0.036
26.14	-0.036
26.149	0.199
26.16	0.226
26.17	0.246
26.177	0.005
26.179	0.185
26.172	0.283
26.17	0.475
26.164	0.05
26.156	0.046
26.16	0.202
26.154	0.297
26.14	0.208
26.123	0.332
26.123	0.23
26.124	0.256
26.11	0.255
26.112	0.235
26.106	0.157
26.11	0.263
26.116	0.191
26.121	0.439
26.13	0.117
26.13	0.098
26.126	0.137
26.126	0.208
26.125	0.083
26.114	0.272
26.112	0.261
26.111	0.169
26.104	0.177
26.096	0.11
26.079	0.259
26.075	0.103
26.064	0.161
26.055	0.167
26.052	0.283
26.045	0.015
26.038	0.308
26.029	0.099
26.032	0.294
26.024	-0.001
26.013	0.099
26.006	0.035
26.011	0.09
26.017	0.088
26.017	0.384
26.019	0.099
26.023	0.28
26.026	0.111
26.037	-0.007
26.04	0.342
26.039	0.198
26.029	0.053
26.014	0.148
26.008	-0.016
25.999	0.094
25.998	0.015
26.005	-0.019
26.008	0.104
26.011	0.193
26.017	0.172
26.02	0.211
26.022	0.097
26.026	0.188
26.028	0.008
26.032	0.207
26.029	0.193
26.025	0.166
26.024	0.113
26.008	0.268
26.001	0.268
25.991	0.166
25.984	0.106
25.976	0.05
25.97	0.073
25.972	0.145
25.979	0.063
25.976	0.136
25.97	0.114
25.96	0.27
25.95	0.321
25.949	0.164
25.955	-0.07
25.949	0.211
25.952	0.056
25.949	0.27
25.939	0.033
25.942	0.244



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