Hydro Turbine Transfer Functions

 

As indicated previously, each of these four hydro turbine models have a unique transfer function.  The schematic diagram of each is given below.

Non-Elastic Water Column without Surge Tank (TUR1)

 

 

 

Where,

 

Turbine Gain Factor Flow

Penstock Head Loss Coefficient [pu]

Gate Position [pu]

Turbine Flow Before reduction by Deflector and Relief valves [pu]

No load water flow [pu]

Water Starting Time [s]

 

 Elastic Water Column without Surge Tank (TUR2)

 

 

 

Where,

 

Turbine Gain Factor Flow

Penstock Head Loss Coefficient [pu]

Turbine Flow Before reduction by Deflector and Relief valves [pu]

No load water flow [pu]

Turbine Damping Constant

Penstock Elastic Time [s]

 

Non-Elastic Water Column with Surge Tank (TUR3)

 

 

 

Where,

 

Turbine Gain Factor Flow

Penstock Head Loss Coefficient [pu]

Turbine Flow Before reduction by Deflector and Relief valves [pu]

No load water flow [pu]

Turbine Damping Constant

Water Starting Time [s]

 

Elastic Water Column with Surge Tank (TUR4)

 

 

 

Where,

 

Turbine Gain Factor Flow

Penstock Head Loss Coefficient [pu]

Turbine Flow Before reduction by Deflector and Relief valves [pu]

No load water flow [pu]

Turbine Damping Constant

Water Starting Time [s]

 

 

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