Application of optimization techniques to solar heating and cooling

Conference · Sat Jan 01 04:00:00 EST 1977 · J. Energy; (United States)

OSTI ID:7305273

Anderson, L B; Rauch, H E

Lockheed is designing a solar heating and cooling system for the city of Santa Clara's new community center. Water heated by solar collectors is used to heat the building in winter and cool the building in summer (using absorption cycle water chillers). This paper shows how optimization techniques can be applied to the operation of a solar driven heating and cooling system such as the Santa Clara facility and outlines practical problems encountered in the design. In the optimization problem the loss function includes not only the cost of heating and cooling but also the equivalent cost of discomfort involved when the temperature is not held at its desired value. The discomfort is assumed to be a quadratic function of temperature. An interesting feature of the resulting optimization problem is a region of singular control because the Hamiltonian is linear in the heating and cooling variable. An optimal control strategy is derived, and numerical examples are presented to show desired building temperatures throughout the day which minimize the sum of energy consumption and the discomfort factor. Additional analysis derives the necessary conditions for the optimal operation of the separate components involved in a solar driven heating and cooling system.

• Research Organization: Lockheed Palo Alto Research Lab., Palo Alto, CA
• OSTI ID: 7305273
• Conference Information: Journal Name: J. Energy; (United States) Journal Volume: 1:1
• Country of Publication: United States
• Language: English

Related Subjects

14 SOLAR ENERGY
140901* -- Solar Thermal Utilization-- Space Heating & Cooling
AIR CONDITIONERS
APPLIANCES
COMMUNITIES
COST
DESIGN
ELECTRIC APPLIANCES
ENERGY STORAGE
GAS APPLIANCES
HEAT STORAGE
HEATING
HEATING SYSTEMS
MATHEMATICAL MODELS
OPTIMIZATION
SENSIBLE HEAT STORAGE
SOLAR AIR CONDITIONERS
SOLAR COOLING SYSTEMS
SOLAR HEATING
SOLAR HEATING SYSTEMS
SOLAR SPACE HEATING
SPACE HEATING
STORAGE