Effect Mechanism of Penstock on Stability and Regulation Quality of Turbine Regulating System
This paper studies the effect mechanism of water inertia and head loss of penstock on stability and regulation quality of turbine regulating system with surge tank or not and proposes the construction method of equivalent model of regulating system. Firstly, the complete linear mathematical model of...
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Series: | Mathematical Problems in Engineering |
Online Access: | http://dx.doi.org/10.1155/2014/349086 |
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doaj-3fb639fd1eb74684b3eb0f8fc56a381f2020-11-25T00:00:41ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472014-01-01201410.1155/2014/349086349086Effect Mechanism of Penstock on Stability and Regulation Quality of Turbine Regulating SystemWencheng Guo0Jiandong Yang1Jieping Chen2Yi Teng3State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, ChinaState Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, ChinaState Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, ChinaState Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, ChinaThis paper studies the effect mechanism of water inertia and head loss of penstock on stability and regulation quality of turbine regulating system with surge tank or not and proposes the construction method of equivalent model of regulating system. Firstly, the complete linear mathematical model of regulating system is established. Then, the free oscillation equation and time response of the frequency that describe stability and regulation quality, respectively, are obtained. Finally, the effects of penstock are analysed by using stability region and response curves. The results indicate that the stability and regulation quality of system without surge tank are determined by time response of frequency which only depends on water hammer wave in penstock, while, for system with surge tank, the time response of frequency depending on water hammer wave in penstock and water-level fluctuation in surge tank jointly determines the stability and regulation quality. Water inertia of penstock mainly affects the stability and time response of frequency of system without surge tank as well as the stability and head wave of time response of frequency with surge tank. Head loss of penstock mainly affects the stability and tail wave of time response of frequency with surge tank.http://dx.doi.org/10.1155/2014/349086 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Wencheng Guo Jiandong Yang Jieping Chen Yi Teng |
spellingShingle |
Wencheng Guo Jiandong Yang Jieping Chen Yi Teng Effect Mechanism of Penstock on Stability and Regulation Quality of Turbine Regulating System Mathematical Problems in Engineering |
author_facet |
Wencheng Guo Jiandong Yang Jieping Chen Yi Teng |
author_sort |
Wencheng Guo |
title |
Effect Mechanism of Penstock on Stability and Regulation Quality of Turbine Regulating System |
title_short |
Effect Mechanism of Penstock on Stability and Regulation Quality of Turbine Regulating System |
title_full |
Effect Mechanism of Penstock on Stability and Regulation Quality of Turbine Regulating System |
title_fullStr |
Effect Mechanism of Penstock on Stability and Regulation Quality of Turbine Regulating System |
title_full_unstemmed |
Effect Mechanism of Penstock on Stability and Regulation Quality of Turbine Regulating System |
title_sort |
effect mechanism of penstock on stability and regulation quality of turbine regulating system |
publisher |
Hindawi Limited |
series |
Mathematical Problems in Engineering |
issn |
1024-123X 1563-5147 |
publishDate |
2014-01-01 |
description |
This paper studies the effect mechanism of water inertia and head loss of penstock on stability and regulation quality of turbine regulating system with surge tank or not and proposes the construction method of equivalent model of regulating system. Firstly, the complete linear mathematical model of regulating system is established. Then, the free oscillation equation and time response of the frequency that describe stability and regulation quality, respectively, are obtained. Finally, the effects of penstock are analysed by using stability region and response curves. The results indicate that the stability and regulation quality of system without surge tank are determined by time response of frequency which only depends on water hammer wave in penstock, while, for system with surge tank, the time response of frequency depending on water hammer wave in penstock and water-level fluctuation in surge tank jointly determines the stability and regulation quality. Water inertia of penstock mainly affects the stability and time response of frequency of system without surge tank as well as the stability and head wave of time response of frequency with surge tank. Head loss of penstock mainly affects the stability and tail wave of time response of frequency with surge tank. |
url |
http://dx.doi.org/10.1155/2014/349086 |
work_keys_str_mv |
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