-
Notifications
You must be signed in to change notification settings - Fork 85
/
csp_solver_stratified_tes.cpp
1090 lines (851 loc) · 45.7 KB
/
csp_solver_stratified_tes.cpp
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
/**
BSD-3-Clause
Copyright 2019 Alliance for Sustainable Energy, LLC
Redistribution and use in source and binary forms, with or without modification, are permitted provided
that the following conditions are met :
1. Redistributions of source code must retain the above copyright notice, this list of conditions
and the following disclaimer.
2. Redistributions in binary form must reproduce the above copyright notice, this list of conditions
and the following disclaimer in the documentation and/or other materials provided with the distribution.
3. Neither the name of the copyright holder nor the names of its contributors may be used to endorse
or promote products derived from this software without specific prior written permission.
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES,
INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
ARE DISCLAIMED.IN NO EVENT SHALL THE COPYRIGHT HOLDER, CONTRIBUTORS, UNITED STATES GOVERNMENT OR UNITED STATES
DEPARTMENT OF ENERGY, NOR ANY OF THEIR EMPLOYEES, BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY,
OR CONSEQUENTIAL DAMAGES(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY,
WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT
OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
#include "csp_solver_stratified_tes.h"
#include "csp_solver_util.h"
C_storage_node::C_storage_node()
{
m_V_prev = m_T_prev = m_m_prev =
m_V_total = m_V_active = m_V_inactive = m_UA =
m_T_htr = m_max_q_htr = std::numeric_limits<double>::quiet_NaN();
}
void C_storage_node::init(HTFProperties htf_class_in, double V_tank_one_temp, double h_tank, bool lid, double u_tank,
double tank_pairs, double T_htr, double max_q_htr, double V_ini, double T_ini)
{
mc_htf = htf_class_in;
m_V_total = V_tank_one_temp; //[m^3]
double A_cs = m_V_total / (h_tank*tank_pairs); //[m^2] Cross-sectional area of a single tank
double diameter = pow(A_cs / CSP::pi, 0.5)*2.0; //[m] Diameter of a single tank
if (lid)
{// Calculate tank conductance if including top area in losses (top node of stratified tank.)
m_UA = u_tank * (A_cs + CSP::pi*diameter*h_tank)*tank_pairs; //[W/K]
}
if (!lid)
{// Calculate tank conductance if only including sides of node
m_UA = u_tank * (CSP::pi*diameter*h_tank)*tank_pairs; //[W/K]
}
m_T_htr = T_htr;
m_max_q_htr = max_q_htr;
m_V_prev = V_ini;
m_T_prev = T_ini;
m_m_prev = calc_mass_at_prev();
}
double C_storage_node::calc_mass_at_prev()
{
return m_V_prev * mc_htf.dens(m_T_prev, 1.0); //[kg]
}
double C_storage_node::get_m_T_prev()
{
return m_T_prev; //[K]
}
double C_storage_node::get_m_T_calc()
{
return m_T_calc;
}
double C_storage_node::get_m_m_calc() //ARD new getter for current mass
{
return m_m_calc;
}
double C_storage_node::m_dot_available(double f_unavail, double timestep)
{
double rho = mc_htf.dens(m_T_prev, 1.0); //[kg/m^3]
double V = m_m_prev / rho; //[m^3] Volume available in tank (one temperature)
double V_avail = fmax(V - m_V_inactive, 0.0); //[m^3] Volume that is active - need to maintain minimum height (corresponding m_V_inactive)
// "Unavailable" fraction now applied to one temperature tank volume, not total tank volume
double m_dot_avail = fmax(V_avail - m_V_active * f_unavail, 0.0)*rho / timestep; //[kg/s] Max mass flow rate available
return m_dot_avail; //[kg/s]
}
void C_storage_node::converged()
{
// Reset 'previous' timestep values to 'calculated' values
m_V_prev = m_V_calc; //[m^3]
m_T_prev = m_T_calc; //[K]
m_m_prev = m_m_calc; //[kg]
}
void C_storage_node::energy_balance(double timestep /*s*/, double m_dot_in, double m_dot_out, double T_in /*K*/, double T_amb /*K*/,
double &T_ave /*K*/, double & q_heater /*MW*/, double & q_dot_loss /*MW*/)
{
// Get properties from tank state at the end of last time step
double rho = mc_htf.dens(m_T_prev, 1.0); //[kg/m^3]
double cp = mc_htf.Cp(m_T_prev)*1000.0; //[J/kg-K] spec heat, convert from kJ/kg-K
// Calculate ending volume levels
m_m_calc = fmax(0.001, m_m_prev + timestep * (m_dot_in - m_dot_out)); //[kg] Available mass at the end of this timestep, limit to nonzero positive number
m_V_calc = m_m_calc / rho; //[m^3] Available volume at end of timestep (using initial temperature...)
if ((m_dot_in - m_dot_out) != 0.0)
{
double a_coef = m_dot_in * T_in + m_UA / cp * T_amb;
double b_coef = m_dot_in + m_UA / cp;
double c_coef = (m_dot_in - m_dot_out);
m_T_calc = a_coef / b_coef + (m_T_prev - a_coef / b_coef)*pow((timestep*c_coef / m_m_prev + 1), -b_coef / c_coef);
T_ave = a_coef / b_coef + m_m_prev * (m_T_prev - a_coef / b_coef) / ((c_coef - b_coef)*timestep)*(pow((timestep*c_coef / m_m_prev + 1.0), 1.0 - b_coef / c_coef) - 1.0);
q_dot_loss = m_UA * (T_ave - T_amb) / 1.E6; //[MW]
if (m_T_calc < m_T_htr)
{
q_heater = b_coef * ((m_T_htr - m_T_prev * pow((timestep*c_coef / m_m_prev + 1), -b_coef / c_coef)) /
(-pow((timestep*c_coef / m_m_prev + 1), -b_coef / c_coef) + 1)) - a_coef;
q_heater = q_heater * cp;
q_heater /= 1.E6;
}
else
{
q_heater = 0.0;
return;
}
if (q_heater > m_max_q_htr)
{
q_heater = m_max_q_htr;
}
a_coef += q_heater * 1.E6 / cp;
m_T_calc = a_coef / b_coef + (m_T_prev - a_coef / b_coef)*pow((timestep*c_coef / m_m_prev + 1), -b_coef / c_coef);
T_ave = a_coef / b_coef + m_m_prev * (m_T_prev - a_coef / b_coef) / ((c_coef - b_coef)*timestep)*(pow((timestep*c_coef / m_m_prev + 1.0), 1.0 - b_coef / c_coef) - 1.0);
q_dot_loss = m_UA * (T_ave - T_amb) / 1.E6; //[MW]
}
else // No mass flow rate, tank is idle
{
double b_coef = m_UA / (cp*m_m_prev);
double c_coef = m_UA / (cp*m_m_prev) * T_amb;
m_T_calc = c_coef / b_coef + (m_T_prev - c_coef / b_coef)*exp(-b_coef * timestep);
T_ave = c_coef / b_coef - (m_T_prev - c_coef / b_coef) / (b_coef*timestep)*(exp(-b_coef * timestep) - 1.0);
q_dot_loss = m_UA * (T_ave - T_amb) / 1.E6;
if (m_T_calc < m_T_htr)
{
q_heater = (b_coef*(m_T_htr - m_T_prev * exp(-b_coef * timestep)) / (-exp(-b_coef * timestep) + 1.0) - c_coef)*cp*m_m_prev;
q_heater /= 1.E6; //[MW]
}
else
{
q_heater = 0.0;
return;
}
if (q_heater > m_max_q_htr)
{
q_heater = m_max_q_htr;
}
c_coef += q_heater * 1.E6 / (cp*m_m_prev);
m_T_calc = c_coef / b_coef + (m_T_prev - c_coef / b_coef)*exp(-b_coef * timestep);
T_ave = c_coef / b_coef - (m_T_prev - c_coef / b_coef) / (b_coef*timestep)*(exp(-b_coef * timestep) - 1.0);
q_dot_loss = m_UA * (T_ave - T_amb) / 1.E6; //[MW]
}
}
void C_storage_node::energy_balance_constant_mass(double timestep /*s*/, double m_dot_in, double T_in /*K*/, double T_amb /*K*/,
double &T_ave /*K*/, double & q_heater /*MW*/, double & q_dot_loss /*MW*/)
{
// Get properties from tank state at the end of last time step
double rho = mc_htf.dens(m_T_prev, 1.0); //[kg/m^3]
double cp = mc_htf.Cp(m_T_prev)*1000.0; //[J/kg-K] spec heat, convert from kJ/kg-K
// Calculate ending volume levels
m_m_calc = m_m_prev; //[kg] Available mass at the end of this timestep, same as previous
m_V_calc = m_m_calc / rho; //[m^3] Available volume at end of timestep (using initial temperature...)
//Analytical method to calculate final temperature at end of timestep
double a_coef = m_dot_in / m_m_calc + m_UA / (m_m_calc*cp);
double b_coef = m_dot_in / m_m_calc * T_in + m_UA / (m_m_calc*cp)*T_amb;
m_T_calc = b_coef / a_coef - (b_coef / a_coef - m_T_prev)*exp(-a_coef * timestep);
T_ave = b_coef / a_coef - (b_coef / a_coef - m_T_prev)*exp(-a_coef * timestep / 2); //estimate of average
q_dot_loss = m_UA * (T_ave - T_amb) / 1.E6; //[MW]
q_heater = 0.0; //Assume no heater.
return;
}
C_csp_stratified_tes::C_csp_stratified_tes()
{
m_vol_tank = m_V_tank_active = m_q_pb_design = m_V_tank_hot_ini = std::numeric_limits<double>::quiet_NaN();
m_m_dot_tes_dc_max = m_m_dot_tes_ch_max = std::numeric_limits<double>::quiet_NaN();
}
void C_csp_stratified_tes::init()
{
if (!(ms_params.m_ts_hours > 0.0))
{
m_is_tes = false;
return; // No storage!
}
m_is_tes = true;
// Declare instance of fluid class for FIELD fluid
// Set fluid number and copy over fluid matrix if it makes sense
if (ms_params.m_field_fl != HTFProperties::User_defined && ms_params.m_field_fl < HTFProperties::End_Library_Fluids)
{
if (!mc_field_htfProps.SetFluid(ms_params.m_field_fl))
{
throw(C_csp_exception("Field HTF code is not recognized", "Two Tank TES Initialization"));
}
}
else if (ms_params.m_field_fl == HTFProperties::User_defined)
{
int n_rows = (int)ms_params.m_field_fl_props.nrows();
int n_cols = (int)ms_params.m_field_fl_props.ncols();
if (n_rows > 2 && n_cols == 7)
{
if (!mc_field_htfProps.SetUserDefinedFluid(ms_params.m_field_fl_props))
{
error_msg = util::format(mc_field_htfProps.UserFluidErrMessage(), n_rows, n_cols);
throw(C_csp_exception(error_msg, "Two Tank TES Initialization"));
}
}
else
{
error_msg = util::format("The user defined field HTF table must contain at least 3 rows and exactly 7 columns. The current table contains %d row(s) and %d column(s)", n_rows, n_cols);
throw(C_csp_exception(error_msg, "Two Tank TES Initialization"));
}
}
else
{
throw(C_csp_exception("Field HTF code is not recognized", "Two Tank TES Initialization"));
}
// Declare instance of fluid class for STORAGE fluid.
// Set fluid number and copy over fluid matrix if it makes sense.
if (ms_params.m_tes_fl != HTFProperties::User_defined && ms_params.m_tes_fl < HTFProperties::End_Library_Fluids)
{
if (!mc_store_htfProps.SetFluid(ms_params.m_tes_fl))
{
throw(C_csp_exception("Storage HTF code is not recognized", "Two Tank TES Initialization"));
}
}
else if (ms_params.m_tes_fl == HTFProperties::User_defined)
{
int n_rows = (int)ms_params.m_tes_fl_props.nrows();
int n_cols = (int)ms_params.m_tes_fl_props.ncols();
if (n_rows > 2 && n_cols == 7)
{
if (!mc_store_htfProps.SetUserDefinedFluid(ms_params.m_tes_fl_props))
{
error_msg = util::format(mc_store_htfProps.UserFluidErrMessage(), n_rows, n_cols);
throw(C_csp_exception(error_msg, "Two Tank TES Initialization"));
}
}
else
{
error_msg = util::format("The user defined storage HTF table must contain at least 3 rows and exactly 7 columns. The current table contains %d row(s) and %d column(s)", n_rows, n_cols);
throw(C_csp_exception(error_msg, "Two Tank TES Initialization"));
}
}
else
{
throw(C_csp_exception("Storage HTF code is not recognized", "Two Tank TES Initialization"));
}
bool is_hx_calc = true;
if (ms_params.m_tes_fl != ms_params.m_field_fl)
is_hx_calc = true;
else if (ms_params.m_field_fl != HTFProperties::User_defined)
is_hx_calc = false;
else
{
is_hx_calc = !mc_field_htfProps.equals(&mc_store_htfProps);
}
if (ms_params.m_is_hx != is_hx_calc)
{
if (is_hx_calc)
mc_csp_messages.add_message(C_csp_messages::NOTICE, "Input field and storage fluids are different, but the inputs did not specify a field-to-storage heat exchanger. The system was modeled assuming a heat exchanger.");
else
mc_csp_messages.add_message(C_csp_messages::NOTICE, "Input field and storage fluids are identical, but the inputs specified a field-to-storage heat exchanger. The system was modeled assuming no heat exchanger.");
ms_params.m_is_hx = is_hx_calc;
}
// Calculate thermal power to PC at design
m_q_pb_design = ms_params.m_W_dot_pc_design / ms_params.m_eta_pc_factor*1.E6; //[Wt] - using pc efficiency factor for cold storage ARD
// Convert parameter units
ms_params.m_hot_tank_Thtr += 273.15; //[K] convert from C
ms_params.m_cold_tank_Thtr += 273.15; //[K] convert from C
ms_params.m_T_field_in_des += 273.15; //[K] convert from C
ms_params.m_T_field_out_des += 273.15; //[K] convert from C
ms_params.m_T_tank_hot_ini += 273.15; //[K] convert from C
ms_params.m_T_tank_cold_ini += 273.15; //[K] convert from C
double Q_tes_des = m_q_pb_design / 1.E6 * ms_params.m_ts_hours; //[MWt-hr] TES thermal capacity at design
double d_tank_temp = std::numeric_limits<double>::quiet_NaN();
double q_dot_loss_temp = std::numeric_limits<double>::quiet_NaN();
two_tank_tes_sizing(mc_store_htfProps, Q_tes_des, ms_params.m_T_field_out_des, ms_params.m_T_field_in_des,
ms_params.m_h_tank_min, ms_params.m_h_tank, ms_params.m_tank_pairs, ms_params.m_u_tank,
m_V_tank_active, m_vol_tank, d_tank_temp, q_dot_loss_temp);
// 5.13.15, twn: also be sure that hx is sized such that it can supply full load to power cycle, in cases of low solar multiples
double duty = m_q_pb_design * fmax(1.0, ms_params.m_solarm); //[W] Allow all energy from the field to go into storage at any time
if (ms_params.m_ts_hours > 0.0)
{
mc_hx.init(mc_field_htfProps, mc_store_htfProps, duty, ms_params.m_dt_hot, ms_params.m_T_field_out_des, ms_params.m_T_field_in_des);
}
// Do we need to define minimum and maximum thermal powers to/from storage?
// The 'duty' definition should allow the tanks to accept whatever the field and/or power cycle can provide...
// Calculate initial storage values
int n_nodes = ms_params.m_ctes_type; //local variable for number of nodes
double V_node_ini = m_V_tank_active / n_nodes; //[m^3] Each node has equal volume
double T_hot_ini = ms_params.m_T_tank_hot_ini; //[K]
double T_cold_ini = ms_params.m_T_tank_cold_ini; //[K]
double dT_node_ini = (T_hot_ini - T_cold_ini); //[K] spacing in temperature to initialize
// Initialize nodes. For these tanks disregard active versus inactive volume. Use active volume.
double h_node = ms_params.m_h_tank / n_nodes; //Height of each section of tank equal divided equally
//Cold node (bottom)
mc_node_n.init(mc_store_htfProps, V_node_ini, h_node, false,
ms_params.m_u_tank, ms_params.m_tank_pairs, ms_params.m_cold_tank_Thtr, ms_params.m_cold_tank_max_heat,
V_node_ini, T_cold_ini);
switch (n_nodes)
{
case 6:
mc_node_five.init(mc_store_htfProps, V_node_ini, h_node, false,
ms_params.m_u_tank, ms_params.m_tank_pairs, ms_params.m_cold_tank_Thtr, ms_params.m_cold_tank_max_heat,
V_node_ini, T_cold_ini+(n_nodes-5.0)/(n_nodes-1.0)*dT_node_ini); //Assume equal spacing between initial temperatures
case 5:
mc_node_four.init(mc_store_htfProps, V_node_ini, h_node, false,
ms_params.m_u_tank, ms_params.m_tank_pairs, ms_params.m_cold_tank_Thtr, ms_params.m_cold_tank_max_heat,
V_node_ini, T_cold_ini + (n_nodes - 4.0) / (n_nodes - 1.0)*dT_node_ini);
case 4:
mc_node_three.init(mc_store_htfProps, V_node_ini, h_node, false,
ms_params.m_u_tank, ms_params.m_tank_pairs, ms_params.m_cold_tank_Thtr, ms_params.m_cold_tank_max_heat,
V_node_ini, T_cold_ini + (n_nodes - 3.0) / (n_nodes - 1.0)*dT_node_ini);
case 3:
mc_node_two.init(mc_store_htfProps, V_node_ini, h_node, false,
ms_params.m_u_tank, ms_params.m_tank_pairs, ms_params.m_cold_tank_Thtr, ms_params.m_cold_tank_max_heat,
V_node_ini, T_cold_ini + (n_nodes - 2.0) / (n_nodes - 1.0)*dT_node_ini);
}
// Hot node (top)
mc_node_one.init(mc_store_htfProps, V_node_ini, h_node, true,
ms_params.m_u_tank, ms_params.m_tank_pairs, ms_params.m_hot_tank_Thtr, ms_params.m_hot_tank_max_heat,
V_node_ini, T_hot_ini);
}
bool C_csp_stratified_tes::does_tes_exist()
{
return m_is_tes;
}
double C_csp_stratified_tes::get_hot_temp()
{
return mc_node_one.get_m_T_prev(); //[K]
}
double C_csp_stratified_tes::get_cold_temp()
{
return mc_node_n.get_m_T_prev(); //[K]
}
double C_csp_stratified_tes::get_hot_mass()
{
return mc_node_one.get_m_m_calc(); // [kg]
}
double C_csp_stratified_tes::get_cold_mass()
{
return mc_node_n.get_m_m_calc(); //[kg]
}
double C_csp_stratified_tes::get_hot_mass_prev()
{
return mc_node_one.calc_mass_at_prev(); // [kg]
}
double C_csp_stratified_tes::get_cold_mass_prev()
{
return mc_node_n.calc_mass_at_prev(); //[kg]
}
double C_csp_stratified_tes::get_physical_volume()
{
return m_vol_tank; //[m^3]
}
double C_csp_stratified_tes::get_hot_massflow_avail(double step_s) //[kg/sec]
{
return mc_node_one.m_dot_available(0, step_s);
}
double C_csp_stratified_tes::get_cold_massflow_avail(double step_s) //[kg/sec]
{
return mc_node_n.m_dot_available(0, step_s);
}
double C_csp_stratified_tes::get_initial_charge_energy()
{
//MWh
return m_q_pb_design * ms_params.m_ts_hours * m_V_tank_hot_ini / m_vol_tank * 1.e-6;
}
double C_csp_stratified_tes::get_min_charge_energy()
{
//MWh
return 0.; //ms_params.m_q_pb_design * ms_params.m_ts_hours * ms_params.m_h_tank_min / ms_params.m_h_tank*1.e-6;
}
double C_csp_stratified_tes::get_max_charge_energy()
{
//MWh
//double cp = mc_store_htfProps.Cp(ms_params.m_T_field_out_des); //[kJ/kg-K] spec heat at average temperature during discharge from hot to cold
// double rho = mc_store_htfProps.dens(ms_params.m_T_field_out_des, 1.);
// double fadj = (1. - ms_params.m_h_tank_min / ms_params.m_h_tank);
// double vol_avail = m_vol_tank * ms_params.m_tank_pairs * fadj;
// double e_max = vol_avail * rho * cp * (ms_params.m_T_field_out_des - ms_params.m_T_field_in_des) / 3.6e6; //MW-hr
// return e_max;
return m_q_pb_design * ms_params.m_ts_hours / 1.e6;
}
double C_csp_stratified_tes::get_degradation_rate()
{
//calculates an approximate "average" tank heat loss rate based on some assumptions. Good for simple optimization performance projections.
double d_tank = sqrt(m_vol_tank / ((double)ms_params.m_tank_pairs * ms_params.m_h_tank * 3.14159));
double e_loss = ms_params.m_u_tank * 3.14159 * ms_params.m_tank_pairs * d_tank * (ms_params.m_T_field_in_des + ms_params.m_T_field_out_des - 576.3)*1.e-6; //MJ/s -- assumes full area for loss, Tamb = 15C
return e_loss / (m_q_pb_design * ms_params.m_ts_hours * 3600.); //s^-1 -- fraction of heat loss per second based on full charge
}
void C_csp_stratified_tes::discharge_avail_est(double T_cold_K, double step_s, double &q_dot_dc_est, double &m_dot_field_est, double &T_hot_field_est)
{
double f_storage = 0.0; // for now, hardcode such that storage always completely discharges
double m_dot_tank_disch_avail = mc_node_one.m_dot_available(f_storage, step_s); //[kg/s]
double T_hot_ini = mc_node_one.get_m_T_prev(); //[K]
if (ms_params.m_is_hx)
{
double eff, T_cold_tes;
eff = T_cold_tes = std::numeric_limits<double>::quiet_NaN();
mc_hx.hx_discharge_mdot_tes(T_hot_ini, m_dot_tank_disch_avail, T_cold_K, eff, T_cold_tes, T_hot_field_est, q_dot_dc_est, m_dot_field_est);
// If above method fails, it will throw an exception, so if we don't want to break here, need to catch and handle it
}
else
{
double cp_T_avg = mc_store_htfProps.Cp(0.5*(T_cold_K + T_hot_ini)); //[kJ/kg-K] spec heat at average temperature during discharge from hot to cold
q_dot_dc_est = m_dot_tank_disch_avail * cp_T_avg * (T_hot_ini - T_cold_K)*1.E-3; //[MW]
m_dot_field_est = m_dot_tank_disch_avail;
T_hot_field_est = T_hot_ini;
}
m_m_dot_tes_dc_max = m_dot_tank_disch_avail * step_s; //[kg/s]
}
void C_csp_stratified_tes::charge_avail_est(double T_hot_K, double step_s, double &q_dot_ch_est, double &m_dot_field_est, double &T_cold_field_est)
{
double f_ch_storage = 0.0; // for now, hardcode such that storage always completely charges
double m_dot_tank_charge_avail = mc_node_three.m_dot_available(f_ch_storage, step_s); //[kg/s]
double T_cold_ini = mc_node_three.get_m_T_prev(); //[K]
if (ms_params.m_is_hx)
{
double eff, T_hot_tes;
eff = T_hot_tes = std::numeric_limits<double>::quiet_NaN();
mc_hx.hx_charge_mdot_tes(T_cold_ini, m_dot_tank_charge_avail, T_hot_K, eff, T_hot_tes, T_cold_field_est, q_dot_ch_est, m_dot_field_est);
// If above method fails, it will throw an exception, so if we don't want to break here, need to catch and handle it
}
else
{
double cp_T_avg = mc_store_htfProps.Cp(0.5*(T_cold_ini + T_hot_K)); //[kJ/kg-K] spec heat at average temperature during charging from cold to hot
q_dot_ch_est = m_dot_tank_charge_avail * cp_T_avg * (T_hot_K - T_cold_ini) *1.E-3; //[MW]
m_dot_field_est = m_dot_tank_charge_avail;
T_cold_field_est = T_cold_ini;
}
m_m_dot_tes_ch_max = m_dot_tank_charge_avail * step_s; //[kg/s]
}
void C_csp_stratified_tes::discharge_full(double timestep /*s*/, double T_amb /*K*/, double T_htf_cold_in /*K*/, double & T_htf_hot_out /*K*/, double & m_dot_htf_out /*kg/s*/, C_csp_tes::S_csp_tes_outputs &outputs)
{
// This method calculates the hot discharge temperature on the HX side (if applicable) during FULL DISCHARGE. If no heat exchanger (direct storage),
// the discharge temperature is equal to the average (timestep) hot tank outlet temperature
// Inputs are:
// 2) inlet temperature on the HX side (if applicable). If no heat exchanger, the inlet temperature is the temperature
// of HTF directly entering the cold tank.
double q_heater_cold, q_heater_hot, q_dot_loss_cold, q_dot_loss_hot, T_cold_ave;
q_heater_cold = q_heater_hot = q_dot_loss_cold = q_dot_loss_hot = T_cold_ave = std::numeric_limits<double>::quiet_NaN();
// If no heat exchanger, no iteration is required between the heat exchanger and storage tank models
if (!ms_params.m_is_hx)
{
m_dot_htf_out = m_m_dot_tes_dc_max / timestep; //[kg/s]
// Call energy balance on hot tank discharge to get average outlet temperature over timestep
mc_node_one.energy_balance(timestep, 0.0, m_dot_htf_out, 0.0, T_amb, T_htf_hot_out, q_heater_hot, q_dot_loss_hot);
// Call energy balance on cold tank charge to track tank mass and temperature
mc_node_three.energy_balance(timestep, m_dot_htf_out, 0.0, T_htf_cold_in, T_amb, T_cold_ave, q_heater_cold, q_dot_loss_cold);
}
else
{ // Iterate between field htf - hx - and storage
}
outputs.m_q_heater = q_heater_cold + q_heater_hot;
outputs.m_W_dot_rhtf_pump = m_dot_htf_out * ms_params.m_htf_pump_coef / 1.E3; //[MWe] Pumping power for Receiver HTF, convert from kW/kg/s*kg/s
outputs.m_q_dot_loss = q_dot_loss_cold + q_dot_loss_hot;
outputs.m_T_hot_ave = T_htf_hot_out;
outputs.m_T_cold_ave = T_cold_ave;
outputs.m_T_hot_final = mc_node_one.get_m_T_calc(); //[K]
outputs.m_T_cold_final = mc_node_three.get_m_T_calc(); //[K]
// Calculate thermal power to HTF
double T_htf_ave = 0.5*(T_htf_cold_in + T_htf_hot_out); //[K]
double cp_htf_ave = mc_field_htfProps.Cp(T_htf_ave); //[kJ/kg-K]
outputs.m_q_dot_dc_to_htf = m_dot_htf_out * cp_htf_ave*(T_htf_hot_out - T_htf_cold_in) / 1000.0; //[MWt]
outputs.m_q_dot_ch_from_htf = 0.0; //[MWt]
}
bool C_csp_stratified_tes::discharge(double timestep /*s*/, double T_amb /*K*/, double m_dot_htf_in /*kg/s*/, double T_htf_cold_in /*K*/, double & T_htf_hot_out /*K*/, C_csp_tes::S_csp_tes_outputs &outputs)
{
// This method calculates the hot discharge temperature on the HX side (if applicable). If no heat exchanger (direct storage),
// the discharge temperature is equal to the average (timestep) hot tank outlet temperature.
// Inputs are:
// 1) Required hot side mass flow rate on the HX side (if applicable). If no heat exchanger, then the mass flow rate
// is equal to the hot tank exit mass flow rate (and cold tank fill mass flow rate)
// 2) inlet temperature on the HX side (if applicable). If no heat exchanger, the inlet temperature is the temperature
// of HTF directly entering the cold tank.
double q_heater_cold, q_heater_hot, q_dot_loss_cold, q_dot_loss_hot, T_cold_ave;
q_heater_cold = q_heater_hot = q_dot_loss_cold = q_dot_loss_hot = T_cold_ave = std::numeric_limits<double>::quiet_NaN();
// If no heat exchanger, no iteration is required between the heat exchanger and storage tank models
if (!ms_params.m_is_hx)
{
if (m_dot_htf_in > m_m_dot_tes_dc_max / timestep)
{
outputs.m_q_heater = std::numeric_limits<double>::quiet_NaN();
outputs.m_W_dot_rhtf_pump = std::numeric_limits<double>::quiet_NaN();
outputs.m_q_dot_loss = std::numeric_limits<double>::quiet_NaN();
outputs.m_q_dot_dc_to_htf = std::numeric_limits<double>::quiet_NaN();
outputs.m_q_dot_ch_from_htf = std::numeric_limits<double>::quiet_NaN();
outputs.m_T_hot_ave = std::numeric_limits<double>::quiet_NaN();
outputs.m_T_cold_ave = std::numeric_limits<double>::quiet_NaN();
outputs.m_T_hot_final = std::numeric_limits<double>::quiet_NaN();
outputs.m_T_cold_final = std::numeric_limits<double>::quiet_NaN();
return false;
}
// Call energy balance on hot tank discharge to get average outlet temperature over timestep
mc_node_one.energy_balance(timestep, 0.0, m_dot_htf_in, 0.0, T_amb, T_htf_hot_out, q_heater_hot, q_dot_loss_hot);
// Call energy balance on cold tank charge to track tank mass and temperature
mc_node_three.energy_balance(timestep, m_dot_htf_in, 0.0, T_htf_cold_in, T_amb, T_cold_ave, q_heater_cold, q_dot_loss_cold);
}
else
{ // Iterate between field htf - hx - and storage
}
outputs.m_q_heater = q_heater_cold + q_heater_hot; //[MWt]
outputs.m_W_dot_rhtf_pump = m_dot_htf_in * ms_params.m_htf_pump_coef / 1.E3; //[MWe] Pumping power for Receiver HTF, convert from kW/kg/s*kg/s
outputs.m_q_dot_loss = q_dot_loss_cold + q_dot_loss_hot; //[MWt]
outputs.m_T_hot_ave = T_htf_hot_out; //[K]
outputs.m_T_cold_ave = T_cold_ave; //[K]
outputs.m_T_hot_final = mc_node_one.get_m_T_calc(); //[K]
outputs.m_T_cold_final = mc_node_three.get_m_T_calc(); //[K]
// Calculate thermal power to HTF
double T_htf_ave = 0.5*(T_htf_cold_in + T_htf_hot_out); //[K]
double cp_htf_ave = mc_field_htfProps.Cp(T_htf_ave); //[kJ/kg-K]
outputs.m_q_dot_dc_to_htf = m_dot_htf_in * cp_htf_ave*(T_htf_hot_out - T_htf_cold_in) / 1000.0; //[MWt]
outputs.m_q_dot_ch_from_htf = 0.0; //[MWt]
return true;
}
bool C_csp_stratified_tes::charge(double timestep /*s*/, double T_amb /*K*/, double m_dot_htf_in /*kg/s*/, double T_htf_hot_in /*K*/, double & T_htf_cold_out /*K*/, C_csp_tes::S_csp_tes_outputs &outputs)
{
// This method calculates the cold charge return temperature on the HX side (if applicable). If no heat exchanger (direct storage),
// the return charge temperature is equal to the average (timestep) cold tank outlet temperature.
// The method returns FALSE if the input mass flow rate 'm_dot_htf_in' * timestep is greater than the allowable charge
// Inputs are:
// 1) Required cold side mass flow rate on the HX side (if applicable). If no heat exchanger, then the mass flow rate
// is equal to the cold tank exit mass flow rate (and hot tank fill mass flow rate)
// 2) Inlet temperature on the HX side (if applicable). If no heat exchanger, the inlet temperature is the temperature
// of HTF directly entering the hot tank
double q_heater_cold, q_heater_hot, q_dot_loss_cold, q_dot_loss_hot, T_hot_ave;
q_heater_cold = q_heater_hot = q_dot_loss_cold = q_dot_loss_hot = T_hot_ave = std::numeric_limits<double>::quiet_NaN();
// If no heat exchanger, no iteration is required between the heat exchanger and storage tank models
if (!ms_params.m_is_hx)
{
if (m_dot_htf_in > m_m_dot_tes_ch_max / timestep)
{
outputs.m_q_dot_loss = std::numeric_limits<double>::quiet_NaN();
outputs.m_q_heater = std::numeric_limits<double>::quiet_NaN();
outputs.m_T_hot_ave = std::numeric_limits<double>::quiet_NaN();
outputs.m_T_cold_ave = std::numeric_limits<double>::quiet_NaN();
outputs.m_T_hot_final = std::numeric_limits<double>::quiet_NaN();
outputs.m_T_cold_final = std::numeric_limits<double>::quiet_NaN();
return false;
}
// Call energy balance on cold tank discharge to get average outlet temperature over timestep
mc_node_three.energy_balance(timestep, 0.0, m_dot_htf_in, 0.0, T_amb, T_htf_cold_out, q_heater_cold, q_dot_loss_cold);
// Call energy balance on hot tank charge to track tank mass and temperature
mc_node_one.energy_balance(timestep, m_dot_htf_in, 0.0, T_htf_hot_in, T_amb, T_hot_ave, q_heater_hot, q_dot_loss_hot);
}
else
{ // Iterate between field htf - hx - and storage
}
outputs.m_q_heater = q_heater_cold + q_heater_hot; //[MW] Storage thermal losses
outputs.m_W_dot_rhtf_pump = m_dot_htf_in * ms_params.m_htf_pump_coef / 1.E3; //[MWe] Pumping power for Receiver HTF, convert from kW/kg/s*kg/s
outputs.m_q_dot_loss = q_dot_loss_cold + q_dot_loss_hot; //[MW] Heating power required to keep tanks at a minimum temperature
outputs.m_T_hot_ave = T_hot_ave; //[K] Average hot tank temperature over timestep
outputs.m_T_cold_ave = T_htf_cold_out; //[K] Average cold tank temperature over timestep
outputs.m_T_hot_final = mc_node_one.get_m_T_calc(); //[K] Hot temperature at end of timestep
outputs.m_T_cold_final = mc_node_three.get_m_T_calc(); //[K] Cold temperature at end of timestep
// Calculate thermal power to HTF
double T_htf_ave = 0.5*(T_htf_hot_in + T_htf_cold_out); //[K]
double cp_htf_ave = mc_field_htfProps.Cp(T_htf_ave); //[kJ/kg-K]
outputs.m_q_dot_ch_from_htf = m_dot_htf_in * cp_htf_ave*(T_htf_hot_in - T_htf_cold_out) / 1000.0; //[MWt]
outputs.m_q_dot_dc_to_htf = 0.0; //[MWt]
return true;
}
bool C_csp_stratified_tes::charge_discharge(double timestep /*s*/, double T_amb /*K*/, double m_dot_hot_in /*kg/s*/, double T_hot_in /*K*/, double m_dot_cold_in /*kg/s*/, double T_cold_in /*K*/, C_csp_tes::S_csp_tes_outputs &outputs)
{
// ARD This is for simultaneous charge and discharge. If no heat exchanger (direct storage),
// the return charge temperature is equal to the average (timestep) cold tank outlet temperature.
// The method returns FALSE if the input mass flow rate 'm_dot_htf_in' * timestep is greater than the allowable charge
// Inputs are:
// 1) (Assumes no heat exchanger) The cold tank exit mass flow rate (and hot tank fill mass flow rate)
// 2) The temperature of HTF directly entering the hot tank.
// 3) The hot tank exit mass flow rate (and cold tank fill mass flow rate)
// 4) The temperature of the HTF directly entering the cold tank.
double q_heater_cold, q_heater_hot, q_dot_loss_cold, q_dot_loss_hot, T_hot_ave, T_cold_ave;
q_heater_cold = q_heater_hot = q_dot_loss_cold = q_dot_loss_hot = T_hot_ave = T_cold_ave = std::numeric_limits<double>::quiet_NaN();
// If no heat exchanger, no iteration is required between the heat exchanger and storage tank models
if (!ms_params.m_is_hx)
{
if (m_dot_hot_in > m_m_dot_tes_ch_max / timestep)
{
outputs.m_q_dot_loss = std::numeric_limits<double>::quiet_NaN();
outputs.m_q_heater = std::numeric_limits<double>::quiet_NaN();
outputs.m_T_hot_ave = std::numeric_limits<double>::quiet_NaN();
outputs.m_T_cold_ave = std::numeric_limits<double>::quiet_NaN();
outputs.m_T_hot_final = std::numeric_limits<double>::quiet_NaN();
outputs.m_T_cold_final = std::numeric_limits<double>::quiet_NaN();
return false;
}
// Call energy balance on cold tank discharge to get average outlet temperature over timestep
mc_node_three.energy_balance(timestep, m_dot_cold_in, m_dot_hot_in, T_cold_in, T_amb, T_cold_ave, q_heater_cold, q_dot_loss_cold);
// Call energy balance on hot tank charge to track tank mass and temperature
mc_node_one.energy_balance(timestep, m_dot_hot_in, m_dot_cold_in, T_hot_in, T_amb, T_hot_ave, q_heater_hot, q_dot_loss_hot);
}
else
{ // Iterate between field htf - hx - and storage
}
outputs.m_q_heater = q_heater_cold + q_heater_hot; //[MW] Storage thermal losses
outputs.m_W_dot_rhtf_pump = m_dot_hot_in * ms_params.m_htf_pump_coef / 1.E3; //[MWe] Pumping power for Receiver HTF, convert from kW/kg/s*kg/s
outputs.m_q_dot_loss = q_dot_loss_cold + q_dot_loss_hot; //[MW] Heating power required to keep tanks at a minimum temperature
outputs.m_T_hot_ave = T_hot_ave; //[K] Average hot tank temperature over timestep
outputs.m_T_cold_ave = T_cold_ave; //[K] Average cold tank temperature over timestep
outputs.m_T_hot_final = mc_node_one.get_m_T_calc(); //[K] Hot temperature at end of timestep
outputs.m_T_cold_final = mc_node_three.get_m_T_calc(); //[K] Cold temperature at end of timestep
// Calculate thermal power to HTF
double T_htf_ave = 0.5*(T_hot_in + T_cold_ave); //[K]
double cp_htf_ave = mc_field_htfProps.Cp(T_htf_ave); //[kJ/kg-K]
outputs.m_q_dot_ch_from_htf = m_dot_hot_in * cp_htf_ave*(T_hot_in - T_cold_ave) / 1000.0; //[MWt]
outputs.m_q_dot_dc_to_htf = 0.0; //[MWt]
return true;
}
bool C_csp_stratified_tes::recirculation(double timestep /*s*/, double T_amb /*K*/, double m_dot_cold_in /*kg/s*/, double T_cold_in /*K*/, C_csp_tes::S_csp_tes_outputs &outputs)
{
// This method calculates the average (timestep) cold tank outlet temperature when recirculating cold fluid for further cooling.
// This warm tank is idle and its state is also determined.
// The method returns FALSE if the input mass flow rate 'm_dot_htf_in' * timestep is greater than the allowable charge
// Inputs are:
// 1) The cold tank exit mass flow rate
// 2) The inlet temperature of HTF directly entering the cold tank
double q_heater_cold, q_heater_hot, q_dot_loss_cold, q_dot_loss_hot, T_hot_ave, T_cold_ave;
q_heater_cold = q_heater_hot = q_dot_loss_cold = q_dot_loss_hot = T_hot_ave = T_cold_ave = std::numeric_limits<double>::quiet_NaN();
// If no heat exchanger, no iteration is required between the heat exchanger and storage tank models
if (!ms_params.m_is_hx)
{
if (m_dot_cold_in > m_m_dot_tes_ch_max / timestep) //Is this necessary for recirculation mode? ARD
{
outputs.m_q_dot_loss = std::numeric_limits<double>::quiet_NaN();
outputs.m_q_heater = std::numeric_limits<double>::quiet_NaN();
outputs.m_T_hot_ave = std::numeric_limits<double>::quiet_NaN();
outputs.m_T_cold_ave = std::numeric_limits<double>::quiet_NaN();
outputs.m_T_hot_final = std::numeric_limits<double>::quiet_NaN();
outputs.m_T_cold_final = std::numeric_limits<double>::quiet_NaN();
return false;
}
// Call energy balance on cold tank discharge to get average outlet temperature over timestep
mc_node_three.energy_balance(timestep, m_dot_cold_in, m_dot_cold_in, T_cold_in, T_amb, T_cold_ave, q_heater_cold, q_dot_loss_cold);
// Call energy balance on hot tank charge to track tank mass and temperature while idle
mc_node_one.energy_balance(timestep, 0.0, 0.0, 0.0, T_amb, T_hot_ave, q_heater_hot, q_dot_loss_hot);
}
else
{ // Iterate between field htf - hx - and storage
}
outputs.m_q_heater = q_heater_cold + q_heater_hot; //[MW] Storage thermal losses
outputs.m_W_dot_rhtf_pump = m_dot_cold_in * ms_params.m_htf_pump_coef / 1.E3; //[MWe] Pumping power for Receiver HTF, convert from kW/kg/s*kg/s
outputs.m_q_dot_loss = q_dot_loss_cold + q_dot_loss_hot; //[MW] Heating power required to keep tanks at a minimum temperature
outputs.m_T_hot_ave = T_hot_ave; //[K] Average hot tank temperature over timestep
outputs.m_T_cold_ave = T_cold_ave; //[K] Average cold tank temperature over timestep
outputs.m_T_hot_final = mc_node_one.get_m_T_calc(); //[K] Hot temperature at end of timestep
outputs.m_T_cold_final = mc_node_three.get_m_T_calc(); //[K] Cold temperature at end of timestep
// Calculate thermal power to HTF
double T_htf_ave = 0.5*(T_cold_in + T_cold_ave); //[K]
double cp_htf_ave = mc_field_htfProps.Cp(T_htf_ave); //[kJ/kg-K]
outputs.m_q_dot_ch_from_htf = m_dot_cold_in * cp_htf_ave*(T_cold_in - T_cold_ave) / 1000.0; //[MWt]
outputs.m_q_dot_dc_to_htf = 0.0; //[MWt]
return true;
}
bool C_csp_stratified_tes::stratified_tanks(double timestep /*s*/, double T_amb /*K*/, double m_dot_cond /*kg/s*/, double T_cond_out /*K*/, double m_dot_rad /*kg/s*/, double T_rad_out /*K*/, C_csp_tes::S_csp_tes_outputs &outputs)
{
// ARD This is completing the energy balance on a stratified tank. Uses nodal model in Duffie & Beckman. 3-6 nodes accomodated by this code.
// Inputs are:
// 1) The mass flow rate through condenser
// 2) The temperature of HTF directly entering from the condenser to top node
// 3) The mass flow rate through radiator field/HX
// 4) The temperature of the HTF directly entering from the radiator to bottom node
// Determine mass flow rates for each node and mass-averaged inlet temperature for each node
int n_nodes = ms_params.m_ctes_type; //Number of nodes specified in input (3-5)
int n_last = n_nodes - 1; //Zero based index of last node
double T_node_prev[6] = {}; //Temperatures of each node at previous converged timestep. Initialize to zero.
T_node_prev[n_last] = mc_node_n.get_m_T_prev();//Bottom node
switch (n_nodes) //Use switch to determine how many other nodes to access
{
case 6:
T_node_prev[4] = mc_node_five.get_m_T_prev();
case 5:
T_node_prev[3] = mc_node_four.get_m_T_prev();
case 4:
T_node_prev[2] = mc_node_three.get_m_T_prev();
case 3:
T_node_prev[1] = mc_node_two.get_m_T_prev();
}
T_node_prev[0] = mc_node_one.get_m_T_prev(); //Top node
int F_C_node[6] = {}; //Condenser control function determining which node condenser return water goes to
int F_C_down[6] = {};
int F_R_node[6] = {}; //Radiator control function determining which node radiator return water goes to
int F_R_up[6] = {};
double m_dot_in_node[6] = {};//Mass flow rate into & out of each node
double T_in_node[6] = {}; //Mass averaged inlet water temperature
double T_node_ave[6] = {};
double q_heater[6] = {};
double q_dot_loss[6] = {};
//Set control function for condenser return flow
if (T_cond_out > T_node_prev[0])
{
F_C_node[0] = 1;
}
for (int n = 1; n != n_last; ++n)
{
if ( (T_node_prev[n-1] >= T_cond_out) && (T_cond_out > T_node_prev[n]) )
{
F_C_node[n] = 1;
}
}
if (T_node_prev[n_last-1] >= T_cond_out)
{
F_C_node[n_last] = 1;
}
//Set control function for radiator return flow
if (T_rad_out > T_node_prev[0])
{
F_R_node[0] = 1;
}
for (int n = 1; n != n_last; ++n)
{
if ((T_node_prev[n-1] >= T_rad_out) && (T_rad_out > T_node_prev[n]))
{
F_R_node[n] = 1;
}
}
if (T_node_prev[n_last-1] >= T_rad_out)
{
F_R_node[n_last] = 1;
}
//Set mass flow rates for each node
for (int j = 1; j != n_last + 1; ++j) //Loop through all nodes below top node
{
F_R_up[0] = F_R_up[0] + F_R_node[j];
}
m_dot_in_node[0] = F_C_node[0] * m_dot_cond + F_C_down[0] * m_dot_cond + F_R_node[0] * m_dot_rad + F_R_up[0] * m_dot_rad; // Top node mass flow rate in
T_in_node[0] = (F_C_node[0] * m_dot_cond*T_cond_out + F_R_node[0] * m_dot_rad*T_rad_out + F_R_up[0] * m_dot_rad*T_node_prev[1]) / (0.001 + m_dot_in_node[0]); //Top node mass-averaged temperature in
for (int n = 1; n != n_last; ++n) //Loop through all nodes except top and bottom
{
for (int i = 0; i != n; ++i) //Loop through all nodes above
{
F_C_down[n] = F_C_down[n] + F_C_node[i];
}
for (int j = (n+1); j != n_last+1; ++j) //Loop through all nodes below
{
F_R_up[n] = F_R_up[n] + F_R_node[j];
}
m_dot_in_node[n] = F_C_node[n] * m_dot_cond + F_C_down[n] * m_dot_cond + F_R_node[n] * m_dot_rad + F_R_up[n] * m_dot_rad;
T_in_node[n] = (F_C_node[n] * m_dot_cond*T_cond_out + F_C_down[n] * m_dot_cond*T_node_prev[n - 1] + F_R_node[n] * m_dot_rad*T_rad_out + F_R_up[n] * m_dot_rad*T_node_prev[n + 1]) / (0.001 + m_dot_in_node[n]);
}
for (int i = 0; i != n_last; ++i) //Loop through all nodes above bottom node
{
F_C_down[n_last] = F_C_down[n_last] + F_C_node[i];
}
m_dot_in_node[n_last] = F_C_node[n_last] * m_dot_cond + F_C_down[n_last] * m_dot_cond + F_R_node[n_last] * m_dot_rad; //Bottom node
T_in_node[n_last] = (F_C_node[n_last] * m_dot_cond*T_cond_out + F_C_down[n_last] * m_dot_cond*T_node_prev[n_last - 1] + F_R_node[n_last] * m_dot_rad*T_rad_out) / (0.001 + m_dot_in_node[n_last]);
// Call energy balance on top node
mc_node_n.energy_balance_constant_mass(timestep, m_dot_in_node[n_last], T_in_node[n_last], T_amb, T_node_ave[n_last], q_heater[n_last], q_dot_loss[n_last]);
switch (n_nodes)
{
case 6:
mc_node_five.energy_balance_constant_mass(timestep, m_dot_in_node[4], T_in_node[4], T_amb, T_node_ave[4], q_heater[4], q_dot_loss[4]);
case 5:
mc_node_four.energy_balance_constant_mass(timestep, m_dot_in_node[3], T_in_node[3], T_amb, T_node_ave[3], q_heater[3], q_dot_loss[3]);
case 4:
mc_node_three.energy_balance_constant_mass(timestep, m_dot_in_node[2], T_in_node[2], T_amb, T_node_ave[2], q_heater[2], q_dot_loss[2]);
case 3:
mc_node_two.energy_balance_constant_mass(timestep, m_dot_in_node[1], T_in_node[1], T_amb, T_node_ave[1], q_heater[1], q_dot_loss[1]);
}
mc_node_one.energy_balance_constant_mass(timestep, m_dot_in_node[0], T_in_node[0], T_amb, T_node_ave[0], q_heater[0], q_dot_loss[0]);
outputs.m_q_heater = q_heater[0] +q_heater[1] + q_heater[2] + q_heater[4]+q_heater[5]; //[MW] Storage thermal losses
//outputs.m_W_dot_rhtf_pump = m_dot_cond * ms_params.m_htf_pump_coef / 1.E3; //[MWe] Pumping power for Receiver HTF, convert from kW/kg/s*kg/s
outputs.m_q_dot_loss = q_dot_loss[0] + q_dot_loss[1]+q_dot_loss[2]+q_dot_loss[3]+q_dot_loss[4]+q_dot_loss[5]; //[MW] Heating power required to keep tanks at a minimum temperature
outputs.m_T_hot_ave = T_node_ave[0]; //[K] Average hot tank temperature over timestep
outputs.m_T_cold_ave = T_node_ave[n_last]; //[K] Average cold tank temperature over timestep
outputs.m_T_hot_final = mc_node_one.get_m_T_calc(); //[K] Hot temperature at end of timestep
outputs.m_T_cold_final = mc_node_n.get_m_T_calc(); //[K] Cold temperature at end of timestep
// Calculate thermal power to HTF - CHECK THESE FOR COLD STORAGE?
//double T_htf_ave = 0.5*(T_cond_out + T_node_ave[2]); //[K]
//double cp_htf_ave = mc_field_htfProps.Cp(T_htf_ave); //[kJ/kg-K]
//outputs.m_q_dot_ch_from_htf = m_dot_cond * cp_htf_ave*(T_cond_out - T_node_ave[2]) / 1000.0; //[MWt]
//outputs.m_q_dot_dc_to_htf = 0.0; //[MWt]
return true;
}
void C_csp_stratified_tes::charge_full(double timestep /*s*/, double T_amb /*K*/, double T_htf_hot_in /*K*/, double & T_htf_cold_out /*K*/, double & m_dot_htf_out /*kg/s*/, C_csp_tes::S_csp_tes_outputs &outputs)
{
// This method calculates the cold charge return temperature and mass flow rate on the HX side (if applicable) during FULL CHARGE. If no heat exchanger (direct storage),
// the charge return temperature is equal to the average (timestep) cold tank outlet temperature
// Inputs are:
// 1) inlet temperature on the HX side (if applicable). If no heat exchanger, the inlet temperature is the temperature
// of HTF directly entering the hot tank.
double q_heater_cold, q_heater_hot, q_dot_loss_cold, q_dot_loss_hot, T_hot_ave;
q_heater_cold = q_heater_hot = q_dot_loss_cold = q_dot_loss_hot = T_hot_ave = std::numeric_limits<double>::quiet_NaN();
// If no heat exchanger, no iteration is required between the heat exchanger and storage tank models
if (!ms_params.m_is_hx)
{
m_dot_htf_out = m_m_dot_tes_ch_max / timestep; //[kg/s]
// Call energy balance on hot tank charge to track tank mass and temperature
mc_node_one.energy_balance(timestep, m_dot_htf_out, 0.0, T_htf_hot_in, T_amb, T_hot_ave, q_heater_hot, q_dot_loss_hot);