# Prediction Of Clean Coal Using Mathematical Models

1141 words - 5 pages

The productivity of a plant depends on the variables presents and how they are controlled or manipulated in order to achieve the desired results with minimum production cost. This can be achieved by modeling mathematical equations to understand the behavior of the process and also predict the behavior of the system if certain changes are introduced. In summary, engineers need to model processes if they are going to design or develop those processes. In the practices of engineering design, models are often applied to predict what will happen in a future situation. However, the predictions are used in ways that have far different consequences than simply anticipating the outcome of an experiment (What Is Mathematical Model). We obtain the response of a system to the sum of the specific inputs by superposing the separate responses of the system to each individual input. This principle is used to predict the response of a system to a complicated input by breaking down the input into a set of simpler inputs that produce known system responses or behaviors.
This research is aimed at finding possible ways of controlling different variables that affect the production (in terms of quantity and quality) of a clean coal product through mathematical equations. The main objectives are to determine the existence of a relationship between the input and output operational variables based on the Plant information. The washability curve is also used based on its accurate information about separation principles. If the Washabilty and Plant raw data yield stable relationships then a mathematical model will be developed. It will assist in predicting the coal quantity and quality based on the feed rate and feed quality. For a Coal plant, the coal ash in the feed must be reduced by regulating the medium density which will in turn allow the gangue material to sink and desired clean coal to float. The feed rate also contribute in attaining the desired product; if the ROM contains a lot of fairly disseminated gangue (middlings) in the coal and highly disseminated gangue (sink) and it is fed at a high rate in the Wemco Drum the separation will be poor (overall yield). This occurs as a result of particles misplacement. Therefore the Plant operators need to know how their decision will impact on the process before executing their thoughts.
The basic idea was to develop the relationship between the variables that would build a model suitable for predictions. The individual input variables (Feed tons, Feed ash and Medium density) are superposed with output variables (Clean coal tons, Clean coal and Yield) to determine how they relate. Some of these variables can be controlled or manipulated eg feed rate and medium density while others are disturbances to the process eg; feed quality. The Feed quality (basically the ash content representing mineral matter) either increases or reduces the coal density depending on its content in the coal. The medium density is regulated in...

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