During start-up testing of large Francis hydro turbine generators, excessive vibration occurred at low-load operation. Mechanical Solutions, Inc. (MSI) performed an independent forensic engineering investigation using high-fidelity Unsteady CFD (Computational Fluid Dynamics) hydropower modeling and turbine vibration analysis. MSI identified a hydraulic design deficiency causing asynchronous vibration and developed a low-cost air injection solution. MSI later served as expert witness engineering support in litigation, resulting in funded remediation and reliable renewable energy integration.
During start-up trials of multiple large hydro turbine generators, Mechanical Solutions, Inc. was retained by a hydroelectric power company to provide independent forensic engineering and expert witness engineering support in a contractual dispute with a major turbine manufacturer. The Francis turbines experienced hydro turbine vibration exceeding allowable limits when operating in the lower approved region of the power vs. flow Hill Chart.
All units exhibited vibration levels exceeding contractual and industry limits at low-load operation. The central contractual question was whether the vibration behavior violated technical specifications and ISO 20816-5 hydro turbine vibration standards, for which MSI contributed as an author.
Key challenges included:
MSI performed a comprehensive hydropower forensic engineering investigation, including:
This structured approach ensured results suitable for for technical validation, mediation, and court testimony.
Mechanical Dynamics
Rotor dynamic analysis showed the second critical speed to be well damped but too close to operating speed, producing elevated 1× rpm vibration. While this contributed to vibration levels, it was determined to be a minor factor relative to applicable hydro turbine vibration standards. A mechanical modification was designed but not recommended due to cost and limited benefit.
Hydraulic Root Cause
The dominant vibration was asynchronous, occurring outside integer running speed harmonics—indicating a fluid dynamic instability rather than mechanical imbalance.
MSI conducted a high-resolution Unsteady CFD hydropower simulation, modeling:
The Unsteady (transient), two-phase CFD model included cavitation effects, 125 million mesh volumes, and microsecond-scale time steps to capture transient flow physics.
Figure 1: Cross-section (top) and 3-D meshed perspective view of the hydroturbine system Unsteady CFD model


The Unsteady CFD hydropower analysis revealed:
Critically, the Unsteady CFD demonstrated the issue was a turbine design deficiency, not an operational or installation problem. The model also enabled quantitative evaluation of remediation options, supporting mediation and litigation.
MSI recommended air injection at the runner hub as a corrective action. Unsteady CFD results showed that approximately 1% air injection:
The solution avoided major disassembly and minimized outage duration.
Figure 2: Results from Unsteady CFD analysis of the hydroturbine flow path at low power conditions. The colored zones in the left picture represent upward recirculating flow. The arrow in the right picture is net force.
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Hydro turbine vibration at low load is often caused by hydraulic instabilities such as flow recirculation, cavitation, or asynchronous forcing. In this case, Unsteady CFD hydropower analysis revealed reverse flow through the runner that generated rotating hydraulic forces.
CFD hydropower analysis models unsteady flow through the turbine, including wicket gates, runner passages, draft tube, and tailwater. It allows engineers to identify hydraulic instabilities, cavitation, and forcing mechanisms that cannot be detected through vibration data alone.
Asynchronous vibration occurs at frequencies not tied to running speed or its harmonics. It typically indicates hydraulic excitation rather than mechanical imbalance and is often associated with flow instabilities at partial load operation.
Hydro turbine vibration is commonly evaluated using ISO 20816-5, which defines acceptable vibration limits and measurement practices for hydraulic turbine-generator units.
Yes. In this case, Unsteady CFD analysis showed that a small amount of runner hub air injection eliminated recirculating flow and reduced vibration, avoiding costly disassembly or extended outages.
Expert witness engineering provides independent, technically defensible analysis to determine root cause, standards compliance, and contractual responsibility. This includes forensic vibration analysis, Unsteady CFD modeling, and court testimony.
Unsteady CFD can demonstrate whether vibration originates from inherent hydraulic design behavior rather than installation or operation. When validated against plant data, it provides strong evidence of design deficiencies in legal and contractual disputes.
Focusing on vibration and dynamics issues during the plant design phase of a project pays off with smoother commissioning and lower cost of ownership over the plant’s life.
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MSI consultants solve difficult or urgent problems of vibration in machinery, taking into account the performance process parameters in critical rotating machinery and systems. MSI’s right-first-time, high-value solutions and clear reports are based on a 30-year track record of reliably solving the problem.
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