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Advanced Building Simulation

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176 Mahdavi<br />

appropriate correction factors may be derived based on statistical methods and<br />

neural network applications.<br />

2 Second, preparation of complete and valid input data (geometry, materials,<br />

system specifications) for simulation is often a time-consuming and error-prone<br />

task. In the context of self-organizing models, however, such data would be prepared<br />

mostly in an automated (sensor-based) fashion, thus reducing the need for<br />

human intervention toward periodic updating of simulation models.<br />

In the following discussion, we focus on arguably the most daunting problem of the<br />

simulation-based control strategy, namely the rapid growth of the size of the control<br />

state space in all those cases where a realistic number of control devices with multiple<br />

possible positions are to be considered.<br />

Consider a space with n devices that can assume states from s 1 to s n. The total<br />

number, z, of combinations of these states (i.e. the number of necessary simulation<br />

runs at each time-step for an exhaustive modeling of the entire control state space) is<br />

thus given by:<br />

z � s 1, s 2,…, s n<br />

(7.3)<br />

This number represents a computationally insurmountable problem, even for a<br />

modest systems control scenario involving a few spaces and devices: An exhaustive<br />

simulation-based evaluation of all possible control states at any given time-step<br />

is simply beyond the computational capacity of currently available systems. To<br />

address this problem, multiple possibilities must be explored, whereby two general<br />

approaches may be postulated, involving: (i) the reduction of the size of the control<br />

state space region to be explored, (ii) the acceleration of the computational assessment<br />

of alternative control options.<br />

7.4.5.2 The control state space<br />

At a fundamental level, a building’s control state space has as many dimensions as<br />

there are controllable devices. On every dimension, there are as many points as there<br />

are possible states of the respective device. This does not imply, however, that at every<br />

time-step the entire control state space must be subjected to predictive simulations.<br />

The null control state space. Theoretically, at certain time-steps, the size of the<br />

applicable control state space could be reduced to zero. Continuous time-step performance<br />

modeling is not always necessary. As long as the relevant boundary conditions<br />

of systems’ operation have remained either unchanged or have changed only<br />

insignificantly, the building may remain in its previous state. Boundary conditions<br />

denote in this case factors such as outdoor air temperature, outdoor global horizontal<br />

irradiance, user request for change in an environmental condition, dynamic<br />

change in the utility charge price for electricity, etc. Periods of building operation<br />

without significant changes in such factors could reduce the need for simulation and<br />

the associated computational load.<br />

Limiting the control state space. Prior to exhaustive simulation of the theoretically<br />

possible control options, rules may be applied to reduce the size of the control

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