# Coupled Electric and Hydraulic Control of a PRS Turbine in a Real Transport Water Network

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## Abstract

**:**

## 1. Introduction

## 2. PRS Turbine

_{V}= 0.98, ξ = 2.1 and g is the gravitational acceleration.

_{rmax}is the maximum inlet angle, equal to 110°, and α is the angle between the particle velocity and the tangent direction at the runner inlet (Figure 2), approximately equal to 15°. The third equation is the optimality condition of the velocity ratio V

_{r}, defined as the ratio between the tangent component of the inlet velocity and the runner rotational velocity at the same inlet surface, that is:

_{r}= 1.7.

## 3. Electrical Energy Production and Velocity Regulation

## 4. Study Case: Gela-Aragona Aqueduct

_{set}is set, the flap position is found by comparing the measure of the flow meter with its target value; if the device is used in “passive” mode, the flap position is found by comparing the pressure measured by the downstream or upstream pressure gauge with its pressure target value. In both cases, the runner rotational velocity is optimized by maximizing the electrical power P

_{i}coming out of the inverter, according to the Q

_{set}or H

_{set}values, calculated by the Equation (5):

_{out,i}and are respectively the voltage and the current coming out of the inverter and cosϕ is the power factor.

## 5. PRS Turbine Application Results

## 6. Conclusions

## Author Contributions

## Funding

## Acknowledgments

## Conflicts of Interest

## References

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**Figure 9.**Flow rate and pressure in the manometers showed in Figure 7.

**Figure 10.**Flow rate and pressure in the manometers showed in Figure 7.

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**MDPI and ACS Style**

Sinagra, M.; Aricò, C.; Tucciarelli, T.; Amato, P.; Fiorino, M.
Coupled Electric and Hydraulic Control of a PRS Turbine in a Real Transport Water Network. *Water* **2019**, *11*, 1194.
https://doi.org/10.3390/w11061194

**AMA Style**

Sinagra M, Aricò C, Tucciarelli T, Amato P, Fiorino M.
Coupled Electric and Hydraulic Control of a PRS Turbine in a Real Transport Water Network. *Water*. 2019; 11(6):1194.
https://doi.org/10.3390/w11061194

**Chicago/Turabian Style**

Sinagra, Marco, Costanza Aricò, Tullio Tucciarelli, Pietro Amato, and Michele Fiorino.
2019. "Coupled Electric and Hydraulic Control of a PRS Turbine in a Real Transport Water Network" *Water* 11, no. 6: 1194.
https://doi.org/10.3390/w11061194