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Advanced Building Simulation

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172 Mahdavi<br />

7.4.2 Approach<br />

Modern buildings allow, in principle, for multiple ways to achieve desired environmental<br />

conditions. For example, to provide a certain illuminance level in an office,<br />

daylight, electrical light, or a combination thereof can be used. The choice of the<br />

system(s) and the associated control strategies represent a nontrivial problem<br />

since there is no deterministic procedure for deriving a necessary (unique) state of<br />

the building’s control systems from a given set of objective functions (e.g. desirable<br />

environmental conditions for the inhabitants, energy and cost-effectiveness of the<br />

operation, minimization of environmental impact).<br />

<strong>Simulation</strong>-based control can potentially provide a remedy for this problem (Mahdavi<br />

1997a, 2001a; Mahdavi et al. 1999a, 2000). Instead of a direct mapping attempt from<br />

the desirable value of an objective function to a control systems state, the simulationbased<br />

control adopts an “if-then” query approach. In order to realize a simulation-based<br />

building systems control strategy, the building must be supplemented with a multi-aspect<br />

virtual model that runs parallel to the building’s actual operation. While the real building<br />

can only react to the actual contextual conditions (e.g. local weather conditions, sky<br />

luminance distribution patterns), occupancy interventions, and building control operations,<br />

the simulation-based virtual model allows for additional operations: (a) the virtual<br />

model can move backward in time so as to analyze the building’s past behavior and/or<br />

to calibrate the program toward improved predictive potency; (b) the virtual model can<br />

move forward in time so as to predict the building’s response to alternative control scenarios.<br />

Thus, alternative control schemes may be evaluated, and ranked according to<br />

appropriate objective functions pertaining to indoor climate, occupancy comfort, as well<br />

as environmental and economic considerations.<br />

7.4.3 Process<br />

To illustrate the simulation-based control process in simple terms, we shall consider<br />

four process steps (cp. Table 7.4):<br />

1 The first step identifies the building’s control state at time t i within the applicable<br />

control state space (i.e. the space of all theoretically possible control states).<br />

For clarity of illustration, Table 7.4 shows the control state space as a threedimensional<br />

space. However, the control state space has as many dimensions as<br />

there are distinct controllable devices in a building.<br />

2 The second step identifies the region of the control state space to be explored in<br />

terms of possible alternative control states at time t i�1.<br />

3 The third step involves the simulation-based prediction and comparative ranking<br />

of the values of pertinent performance indicators for the corpus of alternative<br />

identified in the second step.<br />

4 The fourth step involves the execution of the control action, resulting in the<br />

transition of control state of the building to a new position at time t i�1.<br />

7.4.4 An illustrative example<br />

Let us go through the steps introduced in Section 7.4.3 using a demonstrative experiment<br />

regarding daylighting control in an office space in the previously mentioned IW

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