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Flow, head and power for centrifugal pump versus pump rotation speed.  

Flow, head and power for centrifugal pump versus pump rotation speed.  

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In digital signal processing (DSP), FIR digital filter is very important device to deal with particular frequencies of a certain signal to be appropriate for some applications such as communications, sound equalizers, etc. In this paper, FIR filters are adopted to decompose the original sound signal into four signals. Each one is created by one FIR...

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... the pump, the affinity laws that link the pump characteristics (head H, flow Q, and power P) operating at varying speeds n1 (previous speed) and n2 (current speed) are shown in the following equations [8]: Figure 1 illustrates the variation curves of Q, H and P for centrifugal pump depending on the pump rotation speed n [8]. Practically, there are two terms of speed in the induction motor, shaft speed and synchronous speed. ...
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... frequency in interval [0 1] which equals the frequency from 0 to (i.e from 0Hz to 22050Hz). Figure 6 shows the filters outputs when a 500Hz, 750Hz, 1000Hz, 1500Hz, 2000Hz, 2500Hz, 3500Hz and 5000Hz tones are applied as an inputs. The outputs of a 10000Hz tone input is shown in Fig. 7. Figure 8 illustrates the filters outputs with the music input. Fig.6 FIR filters outputs with 500Hz, 750Hz, 1000Hz, 1500Hz, 2000Hz, 2500Hz, 3500Hz and 5000Hz tones input In Figure 6, it can be noted that each filter is allowed to pass only a tone which has the frequency belong to its pass-band frequency region. The output of the fourth filter is zero because there is no tone that carries frequency equals or above 6500Hz . From Figure 7 it can be seen that only the ...
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... and different frequencies according to the filters specifications and the frequencies in musical sound. Figure 9 shows the frequency domain for the input and filters outputs by taking the FFT when applied the same input in the Fig.6. The frequency domain for a 10000Hz tone input and all filters outputs by taking the FFT are presented in Fig. 10. Figure 11 illustrates the frequency domain for filters outputs and input when the same music in Figure 8 is applied as an input. In Figure 9 it can be noted that the input and filters outputs in frequency domain, the signals are illustrated as a number of spikes, each one have a certain power and frequency. Each filter is allowed to ...
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... frequency domain for a 10000Hz tone input and all filters outputs by taking the FFT are presented in Fig. 10. Figure 11 illustrates the frequency domain for filters outputs and input when the same music in Figure 8 is applied as an input. In Figure 9 it can be noted that the input and filters outputs in frequency domain, the signals are illustrated as a number of spikes, each one have a certain power and frequency. ...
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... filter is allowed to any input spike which has a frequency belong to its pass-band frequency region to pass through it. Due to the fourth filter is designed to pass any frequency above 6500Hz, only this filter is allowed to pass a 10000Hz input spike through it as shown in Figure 10. Figure 11 shows the frequency domain for all filter when applied music input, from this Figure, it can be seen that the low frequencies components are passed through first filter, medium frequencies components are passed through the (second and third) filters and high frequencies components are passed through the fourth filter. ...
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... to the fourth filter is designed to pass any frequency above 6500Hz, only this filter is allowed to pass a 10000Hz input spike through it as shown in Figure 10. Figure 11 shows the frequency domain for all filter when applied music input, from this Figure, it can be seen that the low frequencies components are passed through first filter, medium frequencies components are passed through the (second and third) filters and high frequencies components are passed through the fourth filter. Figure 12 shows the speed and voltage of each motor (pump) when apply 500Hz, 750Hz, 1000Hz, 1500Hz, 2000Hz, 2500Hz, 3500Hz and 5000Hz tones as inputs. ...
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... to the fourth filter is designed to pass any frequency above 6500Hz, only this filter is allowed to pass a 10000Hz input spike through it as shown in Figure 10. Figure 11 shows the frequency domain for all filter when applied music input, from this Figure, it can be seen that the low frequencies components are passed through first filter, medium frequencies components are passed through the (second and third) filters and high frequencies components are passed through the fourth filter. Figure 12 shows the speed and voltage of each motor (pump) when apply 500Hz, 750Hz, 1000Hz, 1500Hz, 2000Hz, 2500Hz, 3500Hz and 5000Hz tones as inputs. The speed and voltage of each motor when a 10000Hz tone is applied as input is shown in Figure 13. Figure 14 illustrates the speed and voltage of each motor with the same musical sound input in Fig. 8. From Figure12, it can be seen that each motor have speed and r.m.s voltage directly proportional with the amplitude of the filter output that shown in Fig.6. ...
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... 12 shows the speed and voltage of each motor (pump) when apply 500Hz, 750Hz, 1000Hz, 1500Hz, 2000Hz, 2500Hz, 3500Hz and 5000Hz tones as inputs. The speed and voltage of each motor when a 10000Hz tone is applied as input is shown in Figure 13. Figure 14 illustrates the speed and voltage of each motor with the same musical sound input in Fig. 8. From Figure12, it can be seen that each motor have speed and r.m.s voltage directly proportional with the amplitude of the filter output that shown in Fig.6. ...
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... speed and voltage of each motor when a 10000Hz tone is applied as input is shown in Figure 13. Figure 14 illustrates the speed and voltage of each motor with the same musical sound input in Fig. 8. From Figure12, it can be seen that each motor have speed and r.m.s voltage directly proportional with the amplitude of the filter output that shown in Fig.6. In Figure 13 the fourth motor has a high r.m.s voltage and speed values while all the other motors have almost zero voltage and speed because the fourth filter has been designed as a high-pass filter with a 6500Hz cutoff frequency and this filter output is linked to the fourth AC drive which controls the speed of the fourth motor. ...
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... speed and voltage of each motor when a 10000Hz tone is applied as input is shown in Figure 13. Figure 14 illustrates the speed and voltage of each motor with the same musical sound input in Fig. 8. From Figure12, it can be seen that each motor have speed and r.m.s voltage directly proportional with the amplitude of the filter output that shown in Fig.6. In Figure 13 the fourth motor has a high r.m.s voltage and speed values while all the other motors have almost zero voltage and speed because the fourth filter has been designed as a high-pass filter with a 6500Hz cutoff frequency and this filter output is linked to the fourth AC drive which controls the speed of the fourth motor. In Figure 14 all the motors have variable values of voltage and speed according to the variation of the filters outputs in Fig.8 which are related to these motors. ...
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... Figure 13 the fourth motor has a high r.m.s voltage and speed values while all the other motors have almost zero voltage and speed because the fourth filter has been designed as a high-pass filter with a 6500Hz cutoff frequency and this filter output is linked to the fourth AC drive which controls the speed of the fourth motor. In Figure 14 all the motors have variable values of voltage and speed according to the variation of the filters outputs in Fig.8 which are related to these motors. Figure 15 illustrates the ramp input to represent the control voltage signal in the range from 0 to 2.25V. ...
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... Figure 14 all the motors have variable values of voltage and speed according to the variation of the filters outputs in Fig.8 which are related to these motors. Figure 15 illustrates the ramp input to represent the control voltage signal in the range from 0 to 2.25V. This input is used only to test the simulation of the pump that is driven by a VSD. ...
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... relationship curve between the pump speed and the control voltage signal that is shown in Figure 15 is shown in Fig 16. The speed is directly proportional to the control voltage in the V/F constant method according to the equation (6). Figure 17 shows the parabola curve between the pump speed and the water head from the nozzles of this pump. ...
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... relationship curve between the pump speed and the control voltage signal that is shown in Figure 15 is shown in Fig 16. The speed is directly proportional to the control voltage in the V/F constant method according to the equation (6). Figure 17 shows the parabola curve between the pump speed and the water head from the nozzles of this pump. ...
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... speed is directly proportional to the control voltage in the V/F constant method according to the equation (6). Figure 17 shows the parabola curve between the pump speed and the water head from the nozzles of this pump. This curve is very compatible with the equation (2) which is illustrated in Fig.1. ...
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... speed is directly proportional to the control voltage in the V/F constant method according to the equation (6). Figure 17 shows the parabola curve between the pump speed and the water head from the nozzles of this pump. This curve is very compatible with the equation (2) which is illustrated in Fig.1. ...

Citations

... Also, there are some other definitions like, the fountain is an architectural piece which jets water into the air to produce a dramatic effect used to decorate city parks, hotels, and private outdoors for entertainment and attraction [5]. Musical or dancing fountain is achieved by synchronizing light and water to the rhythm of the music to produce a theatrical spectacle [6]. ...
Chapter
History of fountains go far back thousands of years ago. In old times, people used fountains as a water source and for cooling. Over the years, fountains have become used to decorate the cities, for entertainment purposes as well as a source of water. In the recent few years the fountains have been developed into multimedia shows with light, RGB led light, music and other special effects. Today, it is almost unimaginable, even for a smaller town, not to have one or more fountains in its center. Also, fountains have become very popular in major shopping malls, restaurants as well as in personal yards. The reason for such a wide distribution of fountains is the experience of looking at water flow in any sense. For a nicer effect as well as for night time, today's fountains are made mainly in combination with LED lighting of different colors. This way we get unique scenes the flow of water illuminated by the bright light of different colors. For fuller atmosphere fountains are combined with background music. Music is selected using a smart device and the RGB led lighting is synchronized with the rhythm of that music. In this paper, a musical fountain was designed. The control of the musical fountain is realized using Bluetooth communication and a smart device. Also, the experimental analysis for the designed musical fountain is performed.
Chapter
In recent years in the countries of Southeastern Europe, it has been an increasing demand and launch of complex land consolidation projects. If we consider the complicated process of such activities but also the particular restriction of financial resources, it raises the fundamental question which is how to implement land consolidation projects in these conditions and which cadastral municipalities to give priority. For this research, it has been used and applied appropriate mathematical models which are: TOPSIS (The Technique for Order of Preference by Similarity to Ideal Solution), ELECTRE (Elimination et Choix Traduisan la Real), SAW (Simple Additive Weighting) and AHP (Analytical Hierarchical Process) method. For the cadastral municipalities ranking purposes, it has been created special logarithm and software which can significantly contribute to the economic process, regarding the process of the automatization of the land consolidation projects. Additionally, the results which have been achieved justify the application of the mathematical models, not only in Serbia but also in the region where are at the moment a lot of the land consolidation projects.