*CNET*(*t*) Cost of power exchange *ConsT*(*t*) Fuel consumption of micro-turbine *PNET*(*t*) Exchanged power *KTh*,*<sup>T</sup>* Constant that relates *PT* and *PTT PriceNET*(*t*) Price of power exchange *α<sup>B</sup>* Boiler efficiency *PT*(*t*) Electrical power of micro-turbine *ConsB*(*t*) Fuel consumption of boiler *PWPP*(*t*) Electrical power of waste power plant *Pricegas* Price of natural gas *PWT*(*t*) Electrical power of wind turbine *uT*(*t*) Status of micro-turbine (0 or 1) *PINV*,*AC*(*t*) Electrical AC power of inverter *PriceOM*,*<sup>T</sup>* Price of micro-turbine O&M *PREC*,*AC*(*t*) Electrical AC power of rectifier *ST* Start/stop rate of micro-turbine *PED*(*t*) Electrical power demand *ERT* Emission rate of micro-turbine *PTT*(*t*) Thermal power of micro-turbine *ERB* Emission rate of boiler *PTFC*(*t*) Thermal power of fuel cell *αFC* Fuel cell efficiency *PB*(*t*) Thermal power of boiler *αref* Reformer efficiency *PTS*(*t*) Charging/discharging of thermal storage *HHVmethane* Higher heating value of methane *PTD*(*t*) Thermal power demand *ConsFC*(*t*) Fuel consumption of fuel cell *ET*(*t*) Emissions of micro-turbine *KTh*,*FC* Constant that relates *PFC* and *PTFC EFC*(*t*) Emissions of fuel cell *VES*(*t*) Quantity of electrical storage *EWPP*(*t*) Emissions of waste power plant *VES*,*Ch*(*t*) Charging energy of electrical storage *EB*(*t*) Emissions of boiler *VES*,*dch*(*t*) Discharging energy of electrical storage *Cf* ,*T*(*t*) Fuel cost of micro-turbine *i*(*t*), *f*(*t*), *c*(*t*) Data vector of cell block, forget, and input gates at time *t COM*,*T*(*t*) O&M cost of micro-turbine *bi*, *b f* , *bc*, *bo* Bias vector for cell block, forget, input, and output gates *CS*,*T*(*t*) Start/stop cost of micro-turbine *o*(*t*) Data vector of output gate at time *t Cf* . *FC*(*t*) Fuel cost of fuel cell *s*(*t*) State vector of current layer at state *t COM*,*FC*(*t*) O&M cost of fuel cell *s*(*t*) *<sup>l</sup>* State vector of layer *l* at state *t CS*,*FC*(*t*) Start/stop cost of fuel cell *Whi*, *Whϕ*, *Whγ*, *Who* Weight vector for output of previous state input gate, forget gate, cell block, and output gate *Cf* ,*WPP*(*t*) Fuel cost of waste power plant *Wi*, *Wiϕ*, *Wiγ*, *Wio* Weight vector for input of current state input gate, forget gate, cell block, and output gate *COM*,*WPP*(*t*) O&M cost of waste power plant Δ*t* Period of time *CS*,*WPP*(*t*) Start/Stop cost of waste power plant *ub*(*t*) Status of boiler (0 or 1) *COM*,*WT*(*t*) O&M cost of wind turbine *Vtank*(*t*) Amount of stored hydrogen *COM*,*TS*(*t*) O&M cost of thermal storage *EH*<sup>2</sup> (*t*) Charging/discharging output of the HT *COM*,*HT*(*t*) O&M cost of hydrogen tank *PINV*,*DC*(*t*) Electrical DC power of inverter *COM*,*ES*(*t*) O&M cost of electrical storage *PREC*,*DC*(*t*) Electrical DC power of rectifier *α<sup>T</sup>* Micro-turbine efficiency *αINV* Inverter efficiency

*HHVgas* Higher heating value of gas *αREC* Rectifier efficiency

### **Abbreviations**

184
