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Real-time control-oriented quality modelling in combined urban drainage networks

Sun, Congcong,Joseph Duran, Bernat,Maruejouls, Thibaud,Cembrano Gennari, Gabriela,Meseguer Amela, Jordi,Puig Cayuela, Vicenç,Litrico, Xavier

Abstract

Urban drainage networks (UDN) carry urban wastewater to wastewater treatment plants (WWTP) in order to regenerate it before releasing it to the environment. Combined UDN (CUDN) carry both rain and wastewater together, which can overload the UDN and produce combined sewer overflows (CSO) that pollute the environment. Management of CUDN is receiving increasing attention from both researchers and water managers, in order to meet the high quality standards required for water and environment according to EU Water Framework Directive. Due to the complex dynamics of water quality, integrated control of CUDN and WWTP considering both flows and quality of the conveyed wastewater is a difficult problem. In order to design a real-time control (RTC) taking into account hydraulic and quality variables, the use of conceptual quality models is considered as a suitable option. This paper mainly presents a simplified conceptual quality modelling approach to represent the dynamics of suspended solid in sewers of CUDN oriented to real-time control. A sewer simulator implemented in SWMM (Storm Water Management Model) integrated with a lumped conceptual model for total suspended solid (TSS) is used for calibration and validation. A real example of Perinot sewer network is used as a case study. Discussions about RTC implementation in CUDN are also provided in this paper, where Model Predictive Control (MPC) is proposed as the suitable method to control the integrated water and quality models in CUDN as future motivation.

Full text

Real-Time Con ol-O ien ed Quali y Modelling in Combined U ban D ainage Ne wo ks ? Congcong Sun ∗Be na Joseph-Du an ∗∗ Thibaud Ma uejouls ∗∗∗ Gab iela Cemb ano ∗,∗∗ Jo di Mesegue ∗∗ Vicenc¸ Puig ∗Xa ie Li ico ∗∗∗ ∗Ad anced Con ol Sys ems G oup a he Ins i u de Rob`o ica i In o m`a ica Indus ial (CSIC-UPC), Llo ens i A igas, 4-6, 08028 Ba celona, Spain, (e-mail: [email p o ec ed]). ∗∗ CETaqua, Wa e Technology Cen e, C a. d’Esplugues 75, Co nell`a de Llob ega , 08940 Ba celona, Spain, (e-mail: [email p o ec ed]). ∗∗∗ LyRE, Lyonnaise Resea ch Cen e , Domaine du hau -Ca ´e, Bˆc −C4, 33400 Talence, F ance, (e-mail: [email p o ec ed]). Abs ac : U ban d ainage ne wo ks (UDN) ca y u ban was ewa e o was ewa e ea men plan s (WWTP) in o de o egene a e i be o e eleasing i o he en i onmen . Combined UDN (CUDN) ca y bo h ain and was ewa e oge he , which can o e load he UDN and p oduce combined sewe o e lows (CSO) ha pollu e he en i onmen . Managemen o CUDN is ecei ing inc easing a en ion om bo h esea che s and wa e manage s, in o de o mee he high quali y s anda ds equi ed o wa e and en i onmen acco ding o EU Wa e F amewo k Di ec i e. Due o he complex dynamics o wa e quali y, in eg a ed con ol o CUDN and WWTP conside ing bo h lows and quali y o he con eyed was ewa e is a di icul p oblem. In o de o design a eal- ime con ol (RTC) aking in o accoun hyd aulic and quali y a iables, he use o concep ual quali y models is conside ed as a sui able op ion. This pape mainly p esen s a simpli ied concep ual quali y modelling app oach o ep esen he dynamics o suspended solid in sewe s o CUDN o ien ed o eal- ime con ol. A sewe simula o implemen ed in SWMM (S o m Wa e Managemen Model) in eg a ed wi h a lumped concep ual model o o al suspended solid (TSS) is used o calib a ion and alida ion. A eal example o Pe ino sewe ne wo k is used as a case s udy. Discussions abou RTC implemen a ion in CUDN a e also p o ided in his pape , whe e Model P edic i e Con ol (MPC) is p oposed as he sui able me hod o con ol he in eg a ed wa e and quali y models in CUDN as u u e mo i a ion. Keywo ds: CUDN, WWTP, CSO, RTC, concep ual quali y model, SWMM, MPC. 1. INTRODUCTION Combined u ban d ainage ne wo ks (CUDN) a e gene ally de- signed o con ey was ewa e lows o ea men acili ies in d y wea he . Du ing hea y- ain e en s, as soon as capaci ies o u - ban d ainage ne wo ks (UDN) and Was ewa e T ea men Plan (WWTP) a e exceeded, mixed wa e is by-passed o ecei ing bodies p oducing combined sewe o e lows (CSO), which a e iden i ied as pollu ing haza dous o biological species and eco- logical s a us as explained in Becouze e al. (2009); Gaspe i e al. (2008). In o de o op imize o e all objec i es o he comple e u ban d ainage sys em, including he CUDN, he WWTP and he ecei ing en i onmen , and p e en pollu ion o he ecei ing wa e s, an in eg a ed con ol o bo h UDN and WWTP sys ems is equi ed. Since 1970s, he po en ial o using eal- ime con ol (RTC) wi hin CUDNs has been discussed in Bu le e al. (2005); Schilling (1989). Re e ences ha e p o ed ha RTC is a eliable and cos -e ec i e solu ion o CUDNs, which can imp o e he pe o mance o CUDNs minimizing looding and CSO ol- umes, hus p o ec ing he en i onmen as p esen ed in Fu e al. (2010); Bul e e al. (2010); Bu le e al. (2005); Cemb ano ?This esea ch is unded by EU unding o he p ojec LIFE EFFIDRAIN LIFE14 ENV/ES/00080 e al. (2004); Xu e al. (2013); Beeneken e al. (2013); Ga c´ ıa e al. (2015). Among eal- ime con ol me hods, model p edic- i e con ol (MPC), which can compu e op imal con ol ac ions aking in o accoun no only he cu en measu emen s bu also p edic i e beha io s in a ce ain ho izon, has been success ully es ed in wa e supply and also in he con ex o ad anced u ban d ainage ne wo ks by Cemb ano e al. (2004); Puig e al. (2009); Bu le e al. (2005); Pleau e al. (2005). Ne e heless, he majo i y o RTC applied in CUDN ha e only ocused on hyd aulic model and con ol objec i es wi hou conside ing he pollu ing quali y load inside he ca ied wa- e , e.g. Cemb ano e al. (2004). The ew e e ences which conside quali y models du ing he con ol p ocess mos ly use simula ion ools o o e come dealing wi h he complexi y o modelling wa e quali y di ec ly. In Ra hnayake (2015), con ol o CUDNs minimizing CSO is achie ed by using a non-so ed gene ic algo i hm (NSGA) linked wi h s o m wa e manage- men model (SWMM) 5.0. Bu le e al. (2005) op imizes in- eg a ed modelling o he ope a ion and con ol o an in eg a ed u ban d ainage sys em by de eloping a simula ion package SYNOPSIS which in eg a es he sewe sys em (simula ed by KOSIM), ea men plan (simula ed by IAWPRC) and i e model (simula ed by DUFLOW) using di e en so wa es. Fo he pu pose o ope a ing RTC o in eg a ed u ban d ainage sys ems aking in o accoun CSO pollu ion, app op ia e quali y models a e needed. Such models allow o e alua ion o wa e s acco ding o wa e quali y c i e ia as in Ahye e e al. (1998). Because o he inpu da a unce ain y and di icul y in calib a- ion, modelling he gene a ion and anspo a ion o pollu ion in CUDN du ing a s o m e en is complex. The e indeed exis some physically-based models which can p esen quali y dy- namics in CUDN, bu he ma hema ical equa ions a e di icul o be implemen ed wi hin RTC as shown in Rouse (1937); Van Rijn (1984); Macke (1980); Acke s and Whi e (1973). In o de o con on hese challenges, a simpli ied concep ual quali y modelling app oach o ien ed o RTC o dynamics o o al suspended solid (TSS) is p esen ed. The SWMM so - wa e (Rossman (2015)) in eg a ed wi h a lumped concep ual TSS model which depends indi ec ly on physical pa ame e s h ough low and compu a ion o Sain -Venan model, is used o calib a e and alida e he modelling app oach. A eal sewe in Bo deaux, Pe ino sewe ne wo k is used as a case s udy. The emainde o his pape is o ganized as ollows: Sec ion 2 p esen s he SWMM simula o in eg a ed wi h a lumped con- cep ual TSS model, which ep esen s cha ac e is ics o solid dynamics in he sewe . Sec ion 3 p esen s he simpli ied con- cep ual quali y modelling app oach o TSS in sewe s, a discus- sion abou RTC applied in CUDN is also p o ided in he end o Sec ion 3 as mo i a ion o u u e wo k. In Sec ion 4, calib a ion and alida ion o he p oposed simpli ied modelling app oach using SWMM-TSS and he eal-li e case Pe ino sewe ne wo k is p esen ed. Sec ion 5 p esen s he conclusion o his pape . 2. SWMM-TSS BASED ON LUMPED CONCEPTUAL MODEL As a ep esen a i e example o sewe pollu an s, models o solid concen a ion and load a e p esen ed in his pape , which gene ally p esen h ee dynamic beha io s by Be and- K ajewski (2006); Rossman (2015): •Accumula ion o solid sedimen s o e u ban ca chmen ; •Washo o solid sedimen s by ain all; •T ans e , e osion, deposi ion o solids in sewe ne wo ks and e en ion anks. 2.1 Concep o SWMM-TSS Since solids in sewe a e highly d i en by hyd aulics, a new quali y model has been de eloped based on he SWMM 5 sim- ula o ( e sion SWMM5.1.011) ha al eady includes a de ailed desc ip ion o hyd aulics using ull Ba ´ e de Sain Venan equa- ions. The model lib a y has been modi ied by adding equa ions desc ibing solids beha io o he ollowing phenomena: •Hyd ology: The exponen ial build-up model on he ca ch- men was modi ied o ake in o accoun only he impe i- ous a ea a he han he o al a ea. The washo model was eplaced by he one p oposed by M´ e adie (2011); •Sewe : Accumula ion and e osion phenomena a e de- sc ibed using Wiu (1985) ene gy balance based model used by Be and-K ajewski (1993); •S o age uni : Mixing and se ling p ocesses a e inspi ed om he wo k o B ia (1995); Ma u´ ejouls e al. (2012). Fig. 1. Modi ica ions made in he SWMM 5 lib a y model Figu e 1 is he scheme illus a ing he modi ica ions made in he SWMM 5 lib a y model. Whi e boxes a e o exis ing modules in SWMM 5 and g ey boxes a e o added quali y module. 2.2 Sewe Equa ions in SWMM-TSS As p e iously explained, he main addi ion in he model lib a y a e ega ding he sewe accumula ion and e osion model. This model is based on Wiu (1985) ha calcula es a anspo ca- paci y o he low CT depending on he wa e ρeand pa icle densi ies ρn, he wa e eloci y Umand pipe slope I, he pa - icles’ se ling eloci ies Wnacco ding o pa icles’ ac ions Fpn o each pa icle classes and he yield coe icien ηndi ec ly dependen on hyd aulics cha ac e is ics. CT =ρeUmI PN n=1(Fpn(ρn−ρe)Wn ρnηn) (1) The CT is compa ed wi h he TSS a he pipe inle o calcula e he quan i y o TSS ha can se le. The e osion model is based on a i s o de equa ion dependen on he mass o sedimen and a speci ic e osion coe icien o each pa icle classes. 3. SIMPLIFIED CONCEPTUAL MODELLING APPROACH Lumped complex hyd ology models wo k well o simula ing eal dynamics o TSS in sewe ne wo ks, bu o he RTC pu - pose o CUDN, a simple model s uc u e should be p esen ed acco ding o he ollowing p inciples p esen ed by No eys and Cluckie (1997); Cluckie e al. (1999); Puig e al. (2009): •Rep esen a i eness o he main dynamics; •Simplici y, lexibili y, expendabili y and speed; •A ailabili y o on-line calib a ion and op imiza ion. The modelling app oaches p esen ed in his pape a e designed o be used by RTC o p edic he e olu ion o TSS pa ame e s o e a sho ho izon, which p e en he limi a ion o classical modelling app oaches o empo al measu emen campaign. In o de o e alua e TSS discha ges o he ecei ing wa e , pe o ming measu emen s a he ou le o sewe is he mos sui able s a egy. The simpli ied dynamic model o TSS in CUDNs will conside TSS in sewe s and mass balance equa ion in he junc ions. TSS beha io s in de en ion anks, wei s and also WWTP will be pa o u u e esea ch. The leas squa e unc ion is used o measu e pe o mance o hese app oaches. 3.1 Simpli ied Modelling App oaches o Sewe O igina ing om he hyd aulic model o CUDNs as in Cem- b ano e al. (2004); Puig e al. (2009), a sewe unk in a CUDN can be assumed as a wa e ank con aine wi h capaci y o collec wa e based on he di e en be ween ups eam (Qin: m3/s) and downs eam (Qou :m3/s) lows as in Figu e 2. The anspo model o wa e olume (V) inspi ed om linea ank model o hyd aulic anspo will be exp essed as: V(k+1) =V(k)+ ∆ (Qin(k)−cV(k)) (2a) Qou (k)=cV(k) (2b) V Qin, TSSin Qou , TSSou Fig. 2. Tank model o a sewe In a sewe unk, mass conse a ion does no necessa ily apply o he solids because o solid se lemen and e osion. In o de o gene alize anspo model o TSS, an in e media e a iable Xwhich has no di ec physical meanings is used and he in-ou ela ion o TSS can be de ined as: X(k+1) =X(k)+ ∆ (TS S in(k)−cX(k)) (3a) TS S ou (k)=cX(k) (3b) whe e TS S in : TSS (g/m3) en e in o a sewe TS S ou : TSS (g/m3) ou o a sewe k: he cu en ime ∆ : sampling ime c: pa ame e s need calib a ion A e combining he equa ion (3a) and (3b), he ollowing dynamic model o TSS in a sewe is p oduced: Model 1 TS S ou (k+1) =(1 −c)TS S ou (k)+cTS S in(k) (4) By le ing he wo coe icien s o TS S ou and TS S in be inde- penden , a gene aliza ion o Model 1 eadily comes o mind, leading o: Model 2 TS S ou (k+1) =c1TS S ou (k)+c2TS S in(k) (5) Fu he mo e, om he physical cha ac e is ics, in a sewe , he dynamic o TSS is a ec ed by he TSS sedimen , e osion and also ime delays (Figu e 3). A e ha , a new linea delayed exp essions o TSS and wa e olume can be de ined as: Model 3 TS S ou (k)=c cT S S in(k−d)+ep(6a) Qou (k)= cQin(k−d0) (6b) whe e d: delay o TSS inside a sewe d0: delay o low inside a sewe c c, c,ep: pa ame e s need calib a ion Fig. 3. TSS model in a sewe Using hese modelling me hodologies, simpli ied models o TSS inside a sewe a e c ea ed, which allow on-line model calib a ions and eal- ime con ol o sewe ne wo ks. Fo each sewe , he pa ame e s c,c1,c2,c c,d, c and epneed o be calib a ed by GAMS using his o ic o eal- ime da a om eleme y sys ems. Emphasized on TSS modelling app oach, c, c1,c2,c c,dand epa e will be calib a ed. 3.2 Simpli ied Modelling App oaches o Junc ion Junc ions in a sewe ne wo k co espond o he poin s whe e wa e lows and also TSS a e me ged o spli . These elemen s i mass balance ela ions. When TSS comes in o a junc ion in he sewe ne wo k, he dynamics o TSS is modelled as equali y cons ain s ela ed o ups eam (TSS mass en e s in o his junc ion) and downs eam (TSS mass exi s om his junc ion). Fo di e en junc ions, he e could exis di e en numbe s o b anches (mo e han wo). Take a h ee b anches junc ion as an example (as shown in Figu e 4), he exp ession o he mass conse a ion o TSS can be w i en as (i is conside ed ha he junc ion does no add a signi ican delay): TS S in3(k)Qin3(k)=TS S ou 1(k)Qou 1(k)+TS S ou 2(k)Qou 2(k) (7) Fig. 4. TSS model in a junc ion 3.3 Model Pe o mance E alua ion In o de o alida e and compa e implemen a ions o hese p o- posed modelling app oaches, he leas squa e unc ion is used o e alua e model pe o mance o calib a ed alue using hese simpli ied model compa ing wi h simula ed esul s p oduced by lumped model o SWMM-TSS. FC = K X k=1 (V(k)−R(k))2(8) whe e V: calib a ed alue using simpli ied model R: simula ed alue using SWMM-TSS K: ime s eps Besides ha , he i ing a e be ween he calib a ed alue wi h simpli ied model and he simula ed alue wi h SWMM-TSS is de ined using Nash Su cli e model e iciency coe icien as explained in Nash (1970): V=PK k=1V(k) PK k=1k(9a) FCTS S =100             1−qPK k=1(R(k)−V(k))2 qPK k=1(R(k)−V(k))2             (9b) 3.4 Real- ime con ol o CUDN While s a e-o - he-a implemen a ions o RTC in UDN a e based only on hyd aulic a iables, he in eg a ed con ol o CUDNs and WWTP mus ake in o accoun quali y a iables in o de o minimize he o e all pollu ing load o he ecei ing en i onmen . The main ideas behind his in eg a ed con ol a e: •con olling he wa e de en ion and di e sion in he u ban d ainage ne wo k, so as o minimize TSS in he e luen s o he sys ems; • aking in o accoun he a iabili y in WWTP capaci y, acco ding o he in luen low and TSS concen a ion. The p ocess o CUDN con ol is also highly dependen on ain all scena ios which equi e ain p edic ions. Conside ing hese cha ac e is ic o CUDN con ol, MPC has been accep ed o ha e ad anced ad an ages in con olling u ban d ainage wa e sys ems as in Cemb ano e al. (2004); Xu e al. (2013). MPC can gene a e op imal con ol ac ions by op imizing he objec i e unc ion a e e y con ol s ep. Besides ha , MPC can p edic he u u e beha io o he sys em h ough using an in e nal model o e a ini e p edic ion ho izon. In CUDN, s a e o space o MPC can be p esen ed as in Xu e al. (2013): x(k+1) = (x(k),u(k),d(k)) (10) whe e xis a ec o o ne wo k s a es (e.g. wa e olume and TSS mass in a ank); uis a ec o o con ol a iables such as low ac oss a commanded ga e; dis a ec o o dis u bances ela ed o ain in ensi y and uno . Con inued e o s a e ocused on he in eg a ed con ol o CUDN which in ol es wa e quan i y and quali y using easible modelling app oaches o imp o ing pe o mance o CUDN like in Bu le e al. (2005); Van olleghem e al. (2005). 4. MODEL CALIBRATION AND VALIDATION The eal case s udy o he sewe ne wo k o Pe ino in Louis Fa gue ca chmen o Bo deaux Me opole co e s a o al a ea o 260 ha ha is mainly esiden ial. The sewe leng h is 3 km wi h an a e age slope o 0.007, qui e cons an o e he whole ca chmen . I includes a e en ion ank sepa a ed in h ee hyd aulically connec ed bodies o a o al s o age olume o 35000 m3. E en i he slope is gene ally low, he e is no sedimen issues on he sewe epo ed om he ope a o s. Rain scena ios used o calib a ion and alida ion come om he eal ain all measu ed a F ance in he yea o 2007 as show in Figu e 6. Rain scena ios T1, T2 in di e en ime s age o he yea 2007 which ep esen di e en ain densi ies a e selec ed o p oduce TSS aining da a using SWMM-TSS in o de o calib a e he p oposed simpli ied models. A e achie ing calib a ed TSS models, ano he wo di e en ain scena ios V1, V2 a e applied in SWMM-TSS o p oduce TSS da a o alida ing he wo king o hese p oduced simpli ied models. Fig. 5. SWMM con igu a ion o he Pe ino case s udy Fig. 6. Rain Scena io o Pe ino in he yea o 2007 The selec ed ain scena ios a e he ain all in he ollowing ime s ages (whe e he ime use o ma MM/DD/YYYY HH : MM :S S ): T1 : 10/10/2007 00:00:00-10/11/2007 00:00:00 T2 : 12/02/2007 00:00:00-12/03/2007 00:00:00 V1 : 02/10/2007 00:00:00-02/11/2007 00:00:00 V2 : 07/08/2007 00:00:00-07/09/2007 00:00:00 4.1 Model Calib a ion Fo each elemen s in CUDN, on-line calib a ion is needed. Se he sampling and epo ime o SWMM-TSS as 5 minu es, an eceden d y days as 10. A e applying T1, T2 ain scena ios in o Pe ino case, he TSS beha io s du ing hese ain all a e p oduced, which is he aining da a o calib a e he concep ual models. Taken condui APERI2.1 (as shown in Figu e 5) in he ups eam o Pe ino ne wo k as an example, whe e TS S in ep esen s TSS en e s in o condui APERI2.1, TS S ou ep esen s TSS ou o his elemen . Table 1 p o ides de ail pa ame e s calib a ed o Table 1. Calib a ed Pa ame e s c c1c2c c epd T1 0.26 0.73 0.26 0.87 45.11 2 T2 0.20 0.80 0.20 0.80 72.77 2 he h ee models o condui APERI2.1 in T1 and T2 ain sce- na ios. Figu e 7 and Figu e 8 show he pe o mances compa - isons be ween calib a ed models (TS S ou Model in he igu es) and simula ed alue using SWMM-TSS(TS S ou S WMM in he igu es) in T1 and T2 ain all scena ios. These esul s con i m ha , all he models ha e conside able pe o mance. Model 2 wo ks be e han o he wo models. Model 3 has low i ing pe o mance bu he changing ends o TSS is simila wi h ha in SWMM-TSS, which has meaning du ing he con ol p ocess. 0 50 100 150 200 250 200 300 400 500 600 700 Time S eps [5min] TSS Concen a ion [mg/l] Model 1 i ing = 93.3504%, Model 2 i ing = 93.4646%,Model 3 i ing = 62.1974% TSSin SWMM TSSou SWMM TSSou Model 1 TSSou Model 2 TSSou Model 3 Fig. 7. Calib a ion pe o mance o T1 0 50 100 150 200 250 200 250 300 350 400 450 500 Time S eps [5min] TSS Concen a ion [mg/l] Model 1 i ing = 98.0939%, Model 2 i ing = 98.2986%,Model 3 i ing = 89.0995% TSSin SWMM TSSou SWMM TSSou Model 1 TSSou Model 2 TSSou Model 3 Fig. 8. Calib a ion pe o mance o T2 4.2 Model Valida ion In o de o alida e u he he p oposed calib a ed models, ain scena ios V1 and V2 a e applied o he models calib a ed in T1 and T2 sepa a ely. Figu e 9, 10, 11 and 12 p o ide he alida ion pe o mance using V1 and V2 ain scena ios o he p oduced models by T1 and T2. The i ing compa isons p o- ided om hese igu es shows ha , compa ing wi h simula ion esul s om SWMM-TSS, all he p oposed models a e wo king well using he calib a ed models. Table 2 wi h de ailed i ing pe o mances o bo h he calib a- ion and alida ion scena ios con i m hese conclusions. 5. CONCLUSIONS This pape p oposed simpli ied concep ual modelling ap- p oaches o ep esen ing dynamic beha io s o TSS in sewe ne wo ks, which a e o ien ed o be in ol ed in o he in eg a ed 0 50 100 150 200 250 200 300 400 500 600 700 800 900 Time S eps [5min] TSS Concen a ion [mg/l] Model 1 i ing = 96.5059%, Model 2 i ing = 96.4982%,Model 3 i ing = 91.213% TSSin SWMM TSSou SWMM TSSou Model 1 TSSou Model 2 TSSou Model 3 Fig. 9. V1 alida ion pe o mance o T1 0 50 100 150 200 250 500 1000 1500 2000 2500 3000 3500 4000 Time S eps [5min] TSS Concen a ion [mg/l] Model 1 i ing = 65.5939%, Model 2 i ing = 65.4938%,Model 3 i ing = 54.6964% TSSin SWMM TSSou SWMM TSSou Model 1 TSSou Model 2 TSSou Model 3 Fig. 10. V2 alida ion pe o mance o T1 0 50 100 150 200 250 200 300 400 500 600 700 800 900 Time S eps [5min] TSS Concen a ion [mg/l] Model 1 i ing = 95.5693%, Model 2 i ing = 95.5597%,Model 3 i ing = 90.8331% TSSin SWMM TSSou SWMM TSSou Model 1 TSSou Model 2 TSSou Model 3 Fig. 11. V1 alida ion pe o mance o T2 0 50 100 150 200 250 500 1000 1500 2000 2500 3000 3500 4000 Time S eps [5min] TSS Concen a ion [mg/l] Model 1 i ing = 63.6791%, Model 2 i ing = 63.6013%,Model 3 i ing = 44.358% TSSin SWMM TSSou SWMM TSSou Model 1 TSSou Model 2 TSSou Model 3 Fig. 12. V2 alida ion pe o mance o T2 RTC con olle o CUDN and WWTP o en i onmen al p o- ec ion. The SWMM is used o p oduce ealis ic simula ed da a o calib a ion and alida ion. The Pe ino sewe ne wo k, which is a eal li e example, is used as a case s udy. The applica ion and alida ion esul s o he p oposed modelling app oaches ha e p o ed ha , he simpli ied concep ual model P ep in s o he 20 h IFAC Wo ld Cong ess Toulouse, F ance, July 9-14, 2017 Table 2. Pe o mance Compa isons Tes /Valida e Scena ios Model 1 Model 2 Model 3 T1 93.35% 93.46% 62.20% V1 96.51% 96.50% 91.21% V2 65.59% 65.49% 54.70% T2 98.09% 98.30% 89.10% V1 95.57% 95.56% 90.83% V2 63.68% 63.60% 44.36% can cap u e he main cha ac e is ics o TSS e olu ion in sewe ne wo ks wi h equa ions ha a e simple enough o be used o in eg a ed RTC con ol o CUDN. This wo k is pa o a esea ch p ojec aimed o design Model P edic i e Con ol o bo h wa e quan i y and quali y models in CUDN. ACKNOWLEDGEMENTS The au ho s wish o hank he suppo ecei ed by he Eu o- pean Commission esea ch g an o p ojec LIFE EFFIDRAIN (LIFE14 ENV/ES/000860), hank Aig¨ ues de Ba celona o he inancial and echnical suppo . 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