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PhD Thesis - Energy Systems Research Unit - University of Strathclyde

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5.9 Instantaneous Space and Water Heating System Model<br />

Space and water heating systems are provided here to allow the use <strong>of</strong> remaining<br />

fuels and excess electricity to help meet the demands for heat and hot water.<br />

Considered here are space heaters, which have an instantaneous action,<br />

instantaneous water heaters, and water heaters with some storage, which are<br />

capable <strong>of</strong> providing a full tank <strong>of</strong> hot water or more within a half hour period,<br />

depending on their rated power. Larger hot water storage systems will be<br />

considered later in this chapter.<br />

This basic type <strong>of</strong> heating is simple to model, as efficiency <strong>of</strong> the plant does not<br />

vary significantly with partial load, and is not subject to minimum loads. This is<br />

due to the way in which a heating system is controlled – when the thermostatic<br />

control determines that heating is required, the heater is turned on at its full rated<br />

power, and turned <strong>of</strong>f again when the correct temperature is reached. Therefore,<br />

the efficiency always remains the efficiency at rated power, and the heat<br />

supplied is the heat required. The information required to model instantaneous<br />

space or water heater performance is the number <strong>of</strong> heaters, their rated power<br />

and efficiency, and the type <strong>of</strong> fuel to be used. If a liquid fuel is being used, the<br />

lower heating value (kJ/kg) and density (kg/m 3 ) <strong>of</strong> the fuel are also required.<br />

The lower heating value only is required for a solid fuel. An example <strong>of</strong> the<br />

heating system definition window for this type <strong>of</strong> system can be seen in<br />

Appendix 1, Figure A1.49.<br />

The maximum heat or hot water that may be supplied is equal to the rated power<br />

<strong>of</strong> the heater multiplied by the number <strong>of</strong> heaters. If demand is greater than this,<br />

there will be a residual demand, and the heaters will run at full load. If demand<br />

is less, the heater will supply only the required amount. The amount <strong>of</strong> fuel<br />

required is then calculated using Equations 5.33, 5.35 or 5.36 as appropriate,<br />

multiplied by the number <strong>of</strong> heaters. If there is not enough fuel, the amount <strong>of</strong><br />

heat that can be supplied with the available fuel is calculated, and the user is<br />

alerted that there was not enough fuel to run the heater at the desired capacity.<br />

The pr<strong>of</strong>ile shown on matching is a graph <strong>of</strong> percentage heater loading with<br />

time. Figure 5.22 gives a graphical representation <strong>of</strong> this procedure for a system<br />

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