D. Annexe and . Code, xy : équations continues d'un microgrid générique La fonction F _xy est celle qui représente les équations continues d'un microgrid générique

. Elle-retourne-un-vecteur-y-contenant, pour chaque DER : Le couple référence (? ref sur la Figure 2.31)

, La vitesse de rotation ?

, L'état intégrale du PID de la partie mécanique

, Le courant de référence ; La tension du DER

, L'état intégrale du PID de la partie électrique

, état de charge de la batterie dans le cas d'un producteur renouvelable Les entrées de la fonction sont : r le vecteur y à l'instant précédent

, contenant tous les paramètres mécanique et électrique de chaque DER ; P ratedG la taille de chaque GE ; P ratedP V la taille de chaque producteur renouvelable

, Matrices pour dX = AX+BU / Y = CX+DU 56 connectDER = [ConnectG;ConnectPV]; 57 58 Rg = [RgG; RgPV]; 59 Cg = [CG; CPV]; 60 VectUc = zeros(nbDER,1); % Tension aux bornes de la capacite 61 VectIref = zeros(nbDER,1), 55 %% Partie tension

, Bv = zeros

, Cv = zeros(nbDER * 2+1,nbDER)

=. Dv,

, DivisionRg = zeros(nbDER, vol.1

, 68 for i=1:nbDER 69 if connectDER(i), p.0

, DivisionRg(i) = 0

, Rg(i) = Inf, p.73

. Divisionrg, Rg(i), issue.1

, 74 end 75 end 76 SUMdivRg = sum(DivisionRg)

, Dv(1,1) = -1/SUMdivRg, pp.1-81

, Cv, issue.1 1

, :nbDER+1)) 85 for k=1:nbDER 86 for j=1:nbDER 87 if j =k 88, p.83

, Cv(k+1,j) = -1/(Rg(k) * Rg(j) * SUMdivRg)

, Cv(k+1,k) = (SUMdivRg-1/Rg(k))/(Rg(k) * SUMdivRg)

, Dv(k+1,1) = 1/(Rg(k) * SUMdivRg)

, 96 for k=1:nbDER 97

, Cv, vol.98, issue.1, p.99

, 100 %--dUc/dt = (iref -i)/Cg 101 for k=1:nbDER 102

=. Av, Cg, issue.k+1

, 103

, Bv(k,1) = -Dv(k+1,1)/Cg(k)

, BvCg, vol.1

, VectUc(i) = r((i-1) * 7+6)

, 110 end 111 for i=1:nbPV 112

, VectUc(i+nbG) = r(nbG * 7+(i-1) * 8+6)

, 113 end 114 for i=1:nbG 115

, VectIref(i) = r((i-1) * 7+5)

, 116 end 117 for i=1:nbPV 118

, VectIref(i+nbG) = r(nbG * 7+(i-1) * 8+5)

, VectI = [iload;VectIref

, Cas particulier dependant des connexions 124 connectDER = [ConnectG;ConnectPV]; 125 for i=1:nbDER 126 if connectDER(i)==0

, Cv, issue.1 0

, Cv, issue.i+1 0

, Dv, issue.i+1 0

, Av, issue.0

, Av(i, issue.0

, Bv(i,1) = 0, pp.134-135

, 136 ImaxG = 1.2 * IbaseG; 137 ImaxPV = 1.2 * IbasePV

. %%-partie-mecanique, Matrices pour dX = AX+BU / Y = CX+DU 140 D1 = [D1G; D1PV]; 141 D2 = [D2G; D2PV]. * connectDER; 142 Spring = [SpringG; SpringPV]. * connectDER, J = [JG; JPV, vol.1431, issue.144

, 145 Vect_thw = zeros(nbDER * 2,1)

=. Aw,

, Bw = zeros, vol.2

, D2, vol.148

, 150 %--dtheta/dt & dw/dt 151 for k=1:nbDER 152

, Bw, vol.1, issue.1

, Bw, pp.1-2

, Bw(k+nbDER,k+1) = 1/J(k)

, 155 for j=1:nbDER 156

, Aw(k,j) = -Spring(j)/SumD2Connect, p.158

. Aw, , p.2

. Aw,

, 165 end 166 end 167 end 168

, Vecteur d'etat (X : Vect_thw) & Vecteur d'entree (U : VectC) 170 for i=1:nbG 171

, Vect_thw(i) = r((i-1) * 7+4)

, Vect_thw(i+nbG+nbPV) = r((i-1) * 7+2)

, 173 end 174 for i=1:nbPV 175

, Vect_thw(i+nbG) = r(nbG * 7+(i-1) * 8+4)

, Vect_thw(i+2 * nbG+nbPV) = r(nbG * 7+(i-1) * 8+2)

, 177 end 178 for i=1:nbG 179

, VectCref(i) = r((i-1) * 7+1)

, 180 end 181 for i=1:nbPV 182

, VectCref(i+nbG) = r(nbG * 7+(i-1) * 8+1)

, 183 end 184 VectC = [Cload, VectCref

, Cas particulier dependant des connexions 187 for i=1:nbDER 188 if connectDER(i), p.0

. Aw, [1:nbDER+i-1 nbDER+i+1:end],i) = 0

. Aw, [1:nbDER+i-1 nbDER+i+1:end],i+nbDER) = 0

, Aw(i, issue.0

, Aw(i+nbDER,[1:nbDER+i-1 nbDER+i+1:end]) = 0

, Bw(i, issue.0

, Bw(i+nbDER,[1:i i+2:end]) = 0

, [1:nbDER+i-1 nbDER+i+1:end],i+1) = 0, Bw, vol.196

, 201 %% Partie mecanique 202

, 203 %--Saturation de la production des renouvelables 204 Clim_min = zeros(nbPV,1)

, 205 Clim_max = zeros(nbPV,1)

, 206 for j=1:nbPV 207 if ONPV(j), p.0

, Clim_max, issue.0

, Clim_min, issue.0

, ) * 8+8)>0.02 && r(7 * nbG+(j-1) * 8+8)<0.90), pp.210-217

, Clim_max(j) = CbasePV(j)

, ) * 8+8)>0.90 && r(7 * nbG+(j-1) * 8+8)<0.98), pp.213-220

, Clim_min(j) = -CbasePV(j)/90

, Clim_max(j) = CbasePV(j)

, 216 elseif r(7 * nbG+(j-1) * 8+8)?0, p.2

, Clim_max

, Clim_min, issue.0

, Clim_max(j) = CbasePV(j)

, VectCref(i+nbG) = r(nbG * 7+(i-1) * 8+1)

, 228 end 229 for i=1:nbG 230

, VectCref(i) = r((i-1) * 7+1)

, 231 end 232 VectC = [Cload, VectCref

=. Derstatef, *. Aw, +. Vect_thw, *. Bw, =. Vectc-derstateu et al.,

, Partie mecanique (frequence & puissance active) 244 for i=1:nbG 245 if ONG(i)==0

, 246 y((i-1) * 7+1) = 0

, 247 y((i-1) * 7+2) = 0

, 248 y((i-1) * 7+3) = 0

, 249 y((i-1) * 7+4) = 0, p.251

, i-1) * 7+1)/CbaseG(i

=. Gain and . Cbaseg,

*. , [r((i-1) * 7+1) * (-1-Droop_fP * (kpGov+kiGov * tauGov))/CbaseG(i) ... 254 + r((i-1) * 7+2) * (-kpGov-kiGov * tauGov)/(50 * pi), ) * 7+3) + (kpGov+kiGov * tauGov) * (1+df0G(i)), pp.255-256

, DerStatef(nbDER+i) * (-kpGov * tauGov-kdGov)/(50 * pi)] * Gain

, 257 y((i-1) * 7+2) = DerStatef(nbDER+i)

, i-1) * 7+2) * kiGov/(50 * pi) + (1+df0G(i)) * kiGov -... kiGov * Droop_fP * r((i-1) * 7+1)/CbaseG(i

, 259 y((i-1) * 7+4) = DerStatef(i)

, if ConnectG(i)==0

, 262 y((i-1) * 7+4) = 0, pp.264-265

, 267 \%--GE -Tension & Puissance reactive 268 for i=1:nbG 269 if ONG(i), p.0

, 270 y((i-1) * 7+5) = 0

, 271 y((i-1) * 7+6) = 0

, 272 y((i-1) * 7+7) = 0, p.274

=. Gain and . Ibaseg,

*. , [r((i-1) * 7+5) * (-1-KdroopAVR * (kpAVR+kiAVR * tauAVR))/IbaseG(i) ... 276 + r((i-1) * 7+6) * (-kpAVR-kiAVR * tauAVR)/400, ) * 7+7) + (kpAVR+kiAVR * tauAVR) * (1+dv0G(i)) ... 278 + DerStateU(i) * (-kpAVR * tauAVR-kdAVR)/400] * Gain, pp.275-276

, 279 y((i-1) * 7+6) = DerStateU(i)

, 280 y((i-1) * 7+7) = -r((i-1) * 7+6) * kiAVR/400 + (1+dv0G(i)) * kiAVR -... kiAVR * KdroopAVR * r((i-1) * 7+5)/IbaseG(i)

, 281 282 end 283 end 284

\. , Partie mecanique (frequence & Puissance active) 288 for i=1:nbPV 289 if ONPV(i)==0

, 290 y(7 * nbG+(i-1) * 8+1) = 0

, 291 y(7 * nbG+(i-1) * 8+2) = 0

, 292 y(7 * nbG+(i-1) * 8+3) = 0

, 293 y(7 * nbG+(i-1) * 8+4) = 0

, 294 y(7 * nbG+(i-1) * 8+8) = 0, p.296

=. Droop_fp, * nbG+(i-1) * 8+1)/CbasePV(i)

=. Gain and . Cbasepv,

*. , [r(7 * nbG+(i-1) * 8+1) * (-1-Droop_fP * (kpGov+kiGov * tauGov))/CbasePV(i), pp.298-305

, i-1) * 8+2) * (-kpGov-kiGov * tauGov)/(50 * pi, 1) * 8+3) + (kpGov+kiGov * tauGov) * (1+df0PV(i))

, DerStatef(nbDER+nbG+i) * (-kpGov * tauGov-kdGov)/(50 * pi)] * Gain; 302 y(7 * nbG+(i-1) * 8+2) = DerStatef(nbDER+nbG+i)

, ) * 8+3) = -r(7 * nbG+(i-1) * 8+2) * kiGov, 50 * pi) + ... (1+df0PV(i)) * kiGov -kiGov * Droop_fP * r(7 * nbG+(i-1) * 8+1)/CbasePV, pp.303-310

, 304 y(7 * nbG+(i-1) * 8+4) = DerStatef(nbG+i)

, if ConnectPV(i)==0

, 307 y(7 * nbG+(i-1) * 8+4) = 0

\. Du and S. , ) * 8+8)>0.02 && r(7 * nbG+(i-1) * 8+8)<0.98), pp.311-318

, 313 elseif r(7 * nbG+(i-1) * 8+8)?0, p.2

, 50 * pi)-TorquePV)/(StorageSize_sec * CbasePV

, TorquePV)-TorquePV)/(StorageSize_sec * CbasePV

1. D. Code-f-xy:, . Équations-continues-d-'un-microgrid, and . Générique, ) * 8+8)?0.01) || (dSOC(i)>0 && ... r(7 * nbG+(i-1) * 8+8)?1), pp.318-318

, * nbG+(i-1) * 8+8) = 0; 320 else 321 y(7 * nbG+(i-1) * 8+8) = dSOC(i)

, 322 end 323 end 324 end 325

, \%--Renouvelables -Tension & puissance reactive 328 for i=1:nbPV 329 if ONPV(i), p.0

, 330 y(7 * nbG+(i-1) * 8+5) = 0

, 331 y(7 * nbG+(i-1) * 8+6) = 0

, 332 y(7 * nbG+(i-1) * 8+7) = 0, p.334

=. Gain and . Ibasepv,

*. , [r(7 * nbG+(i-1) * 8+5) * (-1-KdroopAVR * (kpAVR+kiAVR * tauAVR))/IbasePV(i), pp.335-342

, ) * 8+6) * (-kpAVR-kiAVR * tauAVR)/400, ) * 8+7) + (kpAVR+kiAVR * tauAVR) * (1+dv0PV(i)) ... 338 + DerStateU(nbG+i) * (-kpAVR * tauAVR-kdAVR)/400] * Gain, pp.7-8

, 339 y(7 * nbG+(i-1) * 8+6) = DerStateU(nbG+i)

, ) * 8+7) = -r(7 * nbG+(i-1) * 8+6) * kiAVR/400 + ... (1+dv0PV(i)) * kiAVR -kiAVR * KdroopAVR * r(7 * nbG+(i-1) * 8+5)/IbasePV(i), pp.340-347

, 341 342 end 343 end 344

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