“…Many previous works evaluate the techno-economic benefit [25,26,27,28,29,30,31], i.e, the objective functions are performances over a year, or multiple years. Operational performances are evaluated at a much shorter period, such as a day, 24h.…”
This paper develops an optimal control (OC) model of a heat pump water heater (HPWH) supplied by a wind generator-photovoltaic-grid system. The objective function is energy cost minimization, taking into account the time-of-use electricity tariff (TOU), which is an important control parameter. The control variables are the supply switch to the HPWH and the power from the grid, while the hot water temperature inside the tank is the state variable. The model meets both the HPWH's technical and operational constraints in providing hot water at a desired temperature and achieves load shifting. This problem is solved using a mixed integer linear program. The results show a 70.7% cost reduction upon implementation of this intervention. A case study is done and the OC shows significant potential in energy and cost saving when compared to the digital thermostat controller used currently in most HPWHs. The economic analysis is presented in this paper as well. Nomenclature P w (t) wind generator power output (kW) P pv (t) photovoltaic power output (kW) P g (t)grid power (kW) P hp heat pump water heater power demand (kW) COP coefficient of performance u(t) heat pump power supply switch control variable (0 or 1) T (t) hot water temperature inside the tank ( • C) T low and T up lower and upper hot water temperature set points (
“…Many previous works evaluate the techno-economic benefit [25,26,27,28,29,30,31], i.e, the objective functions are performances over a year, or multiple years. Operational performances are evaluated at a much shorter period, such as a day, 24h.…”
This paper develops an optimal control (OC) model of a heat pump water heater (HPWH) supplied by a wind generator-photovoltaic-grid system. The objective function is energy cost minimization, taking into account the time-of-use electricity tariff (TOU), which is an important control parameter. The control variables are the supply switch to the HPWH and the power from the grid, while the hot water temperature inside the tank is the state variable. The model meets both the HPWH's technical and operational constraints in providing hot water at a desired temperature and achieves load shifting. This problem is solved using a mixed integer linear program. The results show a 70.7% cost reduction upon implementation of this intervention. A case study is done and the OC shows significant potential in energy and cost saving when compared to the digital thermostat controller used currently in most HPWHs. The economic analysis is presented in this paper as well. Nomenclature P w (t) wind generator power output (kW) P pv (t) photovoltaic power output (kW) P g (t)grid power (kW) P hp heat pump water heater power demand (kW) COP coefficient of performance u(t) heat pump power supply switch control variable (0 or 1) T (t) hot water temperature inside the tank ( • C) T low and T up lower and upper hot water temperature set points (
“…Girard et al [12] analyzed the applicability of solar-assisted ground-source heat-pumps through the climate data of 19 European cities. Mehrpooya et al [13] optimized the performance of combined solar collector-geothermal heat pump systems by TRNSYS simulation from economical and technical points of view. Besides, the effect of heat exchanger parameters, U-tube size and grout materials, on the ground heat exchanger performance of a hybrid GSHP system in hot-humid climate was also simulated by TRNSYS [14].…”
“…The availability of the solar energy on the earth's surface is around 5000 times of the world's current power requirement [1]. It has found applications in various educational and industrial thermal systems such as for water or air heating, production of steam, drying, water distillation, space cooling and heating, hydrogen production, cooking, electricity production, heat generation for engineering process, integrated power plants, refrigeration and air conditioning [2][3][4][5][6][7][8][9][10][11][12][13][14].…”
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