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Gas Turbine Handbook : Principles and Practices

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150 <strong>Gas</strong> <strong>Turbine</strong> <strong>H<strong>and</strong>book</strong>: <strong>Principles</strong> <strong>and</strong> <strong>Practices</strong><br />

more to it to determine the total sound power a device emits.<br />

So why is sound power so important? It is primarily used for<br />

the calculation of sound level <strong>and</strong> is used in modeling turbine noise<br />

emissions as well as all other types of equipment. The sound level<br />

at a particular distance is calculated by 5 :<br />

Lp = Lw + D C – A dB (10-4)<br />

where:<br />

D C = the directivity correction based on distance <strong>and</strong> angle between<br />

the source of noise (equipment) <strong>and</strong> the receiver<br />

(where the sound level is desired to be known).<br />

A = the attenuation of the sound between the source <strong>and</strong> the<br />

receiver.<br />

As an analogy, think of a light bulb, which has a power level<br />

of watts (L W ) but the brightness of the light (Lp) is determined by<br />

how far away you are (D C ) <strong>and</strong> whether an object blocks it or if the<br />

light is absorbed (A) by a dark surface. Sound behaves in a similar<br />

manner.<br />

Decibels<br />

Decibels (dB) are a convenient way of h<strong>and</strong>ling very large or<br />

very small scalar values <strong>and</strong> as described above, are a logarithmic<br />

function that requires a special method for combining decibels. In<br />

certain applications the sound levels, in decibels, L1, L2, etc., of two<br />

or more sources are summed. However, pressure <strong>and</strong> energy can be<br />

summed, not decibels, so the decibel levels are converted to energy<br />

levels, summed <strong>and</strong> then put back into decibel form:<br />

Summation = 10 Log [10 (L1/10) +<br />

10 (L2/10) + 10 (L3/10) + …10 (Ln/10) ] dB<br />

(10-5)<br />

Similarly, an average of several measurements is calculated by:<br />

Average = 10 Log {1/n[10 (L1/10) +<br />

10 (L2/10) + 10 (L3/10) + …10 (Ln/10) ]} dB<br />

(10-6)

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