Water Start Up Time Model Validation Test

This report is an Oregon Institute of Technology thesis project completed in partial fulfillment for the Masters of Science in Renewable Energy Engineering degree. The testing and research done for this report, investigate the phenomena of water start up time in the spiral case of hydro units. Water start up time is defined as the time it takes for water to accelerate from zero to rated velocity. From analysis of the literature there shows no published article of water start up time being measured and compared to theoretically calculated values. However a multiplier is used to create a buffer in the estimations of water start up time to use in the engineering and selection of governors for hydro units. The multiplier has also been widely used in computer model simulations which causes a dependence of this multiplier. In 2013 an article was published which challenges the hypothesis that water start up time has been over hypothesized and that the multiplier would be of a smaller value than what was hypothesized which would mean that the governing ability is more than what was expected. This proposal of a higher governing ability would mean that the hydro facilities that are currently standing has a higher stability rating than what was initially thought. The higher stability would allow for increased penetration of renewables onto the electrical grid. The lack of actual water start up time measurements as well as the infeasibility of testing on an actual hydro unit meant that a model would need to be designed, built, and tested.

The model had two testing parameters that were examined. One of the parameters was flow rate that was controlled by the number of wicket gates that was installed into the system and the other was the reference height from the forebay to tail water. There were one hundred results from the test trials. The data from the trials showed a trend for the multiplier which was not constant as previously hypothesized and instead illustrated a parabolic trend that tapers into a linear digression. This result means that the range of testing was insufficient and the height range in which the trials were taking placed was subjected to higher variability. The results showed that the multiplier used in water start up time is not a constant and is variable based on the water level. The previous hypothesis stating that the water start up time is faster is false. In accordance with the results the trend showed that the actual water start up time is slower than what is hypothesized. This means at lower water levels the hypothesized governing ability is actually less than what is calculated to be using the current method of water start up time calculation for spiral cases.

The theoretical analysis showed that with increased water level and flow rate showed that the multiplier has less effect on water start up time. The value of the water start up time tapering off from the experimental data shows that the trend for water start up time for both theoretical and experimental share similarities. An increased testing range of the water level in the trials will hypothetically lower the variability of the multiplier and in turn conform to a linear equation. The linear equation is shown to approach zero with increased head in which a static value can be achieved for a specified range.