# Optimal Scheduling of Hydro-PV-Wind Hybrid System Considering CHP and BESS Coordination
## Nomenclature  
### Abbreviations  
WG wind generator  
PV photovoltaic  
CHP combined heat and power  
BESS battery energy storage system  
EV electric vehicles  
CVaR conditional value at risk  
LHSSR Latin hypercube sampling and scene reduction  
**Symbols**  
\(C\) total cost [RMB]  
\(C_{CHP}^{b,s,t}\) total cost of the \(g\)th generator at \(t\) moment in s scenario [RMB]  
\begin{table}
\begin{tabular}{l l} \hline \hline
**Coefficient of Risk Aversion** & **Objective/RMB** \\ \hline
0.1 & 123,301 \\
0.2 & 135,335 \\
0.3 & 147,366 \\
0.5 & 171,423 \\
0.8 & 207,519 \\ \hline \hline \end{tabular}
\end{table}
Table 13: Components of the hybrid energy system.  
\(C_{BESS}^{t,s}\) cost of depreciation at \(t\) moment in \(s\) scenario [RMB]  
\(C_{gtid}^{t,s}\) purchase cost from power grid at \(t\) moment in \(s\) scenario [RMB]  
evt charging time [h]  
\(F_{CHP}^{t,s}\) operating cost of the \(g\)th generator at \(t\) moment in \(s\) scenario [RMB]  
\(I_{T}\) light intensity [W/m\({}^{2}\)]  
\(k\) temperature coefficient  
\(NS\) number of scenarios  
\(NT\) dispatching cycle  
\(NG\) number of CHP unit  
\(p_{h}^{t,s}\) water turbine power at \(t\) moment in \(s\) scenario [kW]  
\(p_{h}^{\min}\) minimum power of water turbine [kW]  
\(p_{h}^{\max}\) maximum power of water turbine [kW]  
\(P_{W}\) output power of wind turbine [kW]  
\(P_{r}\) rated power output of wind turbine [kW]  
\(P_{solar}\) power output of PV [kW]  
\(P_{sc}\) maximum power output of PV Under standard conditions [kW]  
\(P_{CHP}^{t,s,k}\) output power of \(g\)th generator at \(t\) moment in \(s\) scenario [kW]  
\(P_{discharge}^{t,s}\) discharging power at \(t\) moment in \(s\) scenario [kW]  
\(p_{charge}^{t,s}\) charging power at \(t\) moment in \(s\) scenario [kW]  
\(p_{BESS}^{t,s}\) output power of BESS at \(t\) moment in \(s\) scenario [kW]  
\(p_{sc}^{t,s}\) charging power of EV at \(t\) moment in \(s\) scenario [kW]  
\(p_{grid}^{t,s}\) tie-line power at \(t\) moment in \(s\) scenario [kW]  
\(Q^{t,s}\) water consumption of generating at \(t\) moment in \(s\) scenario [m\({}^{3}\)]  
\(R^{t}\) volume of water flowing into the reservoir at \(t\) moment [m\({}^{3}\)]  
\(R^{s}_{u}\) ramp rate of the \(g\)th generator  
\(S^{t,s}\) volume of overflow at \(t\) moment in \(s\) scenario [m\({}^{3}\)]  
\(S^{g}\) boot cost of the \(g\)th generator at \(t\) moment in \(s\) scenario [RMB]  
\(SoC_{BESS}^{t,s}\) state of charge of the battery bank in BESS [%]  
\(SoC_{ev}^{t,s}\) state of charge of the battery bank in EV [%]  
\(T_{c}\) operating temperature of PV [\({}^{\circ}\)C]  
\(T_{a}\) environment temperature [\({}^{\circ}\)C]  
\(T\) reference temperature [\({}^{\circ}\)C]  
\(T_{CHP}^{t,s}\) heat load at \(t\) moment in \(s\) scenario  
\(T_{demand}^{t,s}\) actual heat load of \(g\)th generator at \(t\) moment in \(s\) scenario  
\(T_{sur}^{t,s}\) Heat dissipation of \(g\)th generator at \(t\) moment in \(s\) scenario  
\(Vol^{t,s}\) volume of water stored in the reservoir at \(t\) moment in \(s\) scenario [m\({}^{3}\)]  
\(v_{r}\) rated wind speed of wind turbine [m/s]  
\(v_{ci}\) cut-in wind speed of wind turbine [m/s]  
\(v_{co}\) cut-out wind speed of wind turbine [m/s]  
\(y^{g,t}\) boot prompt variable of the \(g\)th generator at \(t\) moment, [0,1]  
\(z^{g,t}\) stop prompt variable of the \(g\)th generator at \(t\) moment, [0,1]  
\(u_{h}^{g,t}\) operating state of the \(g\)th turbine at \(t\) moment, [0,1]  
\(u_{CHP}^{t,s}\) operating state of the \(g\)th generator at \(t\) moment, [0,1]  
\(\delta_{CHP}\) heat-power ratio  
\(\theta\) depreciation per unit power  
\(\eta_{BESS}^{c}\) charging efficiency about BESS  
\(\eta_{BESS}^{c}\) discharging efficiency  
\(\eta_{ev}^{c}\) charging efficiency about EV  
\(\pi^{s}\) the probability of \(s\) scenario  
\(\beta\) coefficient of risk aversion  
\(\lambda^{t}\) electricity price at \(t\) moment  
\(\tau^{s}\) auxiliary variable of CVaR  
\(\varepsilon\) auxiliary variable of CVaR