Table 1 State equations of the HCMHR general system

\({S}_{{y}_{0}}^{{P}_{i}}=\frac{1}{2}{S}_{{y}_{52}}^{{P}_{oc}}\) (1)

\({S}_{{t}_{n}}^{{P}_{i}}=0.98NC\left({t}_{n}\right)+{S}_{{t}_{n-1}}^{{P}_{i}}\) (2)

\({S}_{{t}_{n}}^{{P}_{d}}=0.98\left({S}_{{t}_{n-1}}^{{P}_{d}}+0.3{S}_{{t}_{n+{d}_{1}}}^{{P}_{i}}\right)\) (3)

\({S}_{{t}_{n}}^{{P}_{tr}}={S}_{{t}_{n-1}}^{{P}_{tr}}+0.3{S}_{{t}_{n+{d}_{2}}}^{{P}_{d}}\)(4)

\({S}_{{t}_{n}}^{{P}_{oc}}=0.7{S}_{{t}_{n}}^{{P}_{i}}+\frac{1}{2}{S}_{{t}_{n+{d}_{3}}}^{{P}_{tr}}\) (5)