“…Based on Wu et al’s study, mass balances of the co-processing system mainly contain the straw supply, straw storage, algae cultivation process, fast pyrolysis, bio-oil HDT, crude oil distillation unit, FCC, and HDTs for cracked diesel and cracked gasoline. Equations to calculate the mass balance of each process are listed in Table . where su is the supply, in t·m –1 ; gr is the grain production, in t·m –1 ; R sg is the straw grain ratio; dm is the demand, in t·m –1 ; z is the binary variable, 0 or 1; y is the product yield, in %; R i s,FP (ω) is the straw feed ratio of fast pyrolysis in each period, in %; R HDO,FCC and R VGO,FCC are HDO oil co-processing ratio and VGO co-processing ratio, in %; Cap FCC is the capacity of FCC, in t·y –1 ; subscript i represents period set, in month; superscripts s, GF, sg, GtD, D, AtF, a, AG, bms, FP, bo, bg, bc, DtF, boHDT, VGO, FCC, CO, CDU, HDO, CD, CDHDT, CG, and CGHDT denote straw, grain farmland, straw grain ratio, grain farmland to depot, depot, algae, algae growth process, biomass, fast pyrolysis, bio-oil, biogas, biochar, depot to fast pyrolysis, bio-oil hydrotreating process, vacuum gas oil, fluid catalytic cracker, crude oil, crude oil distillation unit, HDO oil, cracked diesel, cracked diesel hydrotreating process, cracked gasoline and cracked gasoline hydrotreating process, respectively.…”