5. Cathodic Protection

5.9 Groundbed Design [3/3]


Calculations for Groundbed Design

1. Circuit resistance of impressed current system:

Figure below gives the circuit for impressed current systems.

(a) Circuit resistance
      RC = RS + RLW + Rab
where RS = structure to electrolyte resistance
RLW = leadwire resistance
Rab = anode bed resistance
(b) Structure to electrolyte resistance
      RS = (VON-VOFF)/ION
where VON = structure to electrolyte potential (current ON)
VOFF = structure to electrolyte potential (current OFF)
ION = current applied to give potential VON
(c) Maximum allowable circuit resistance
      Rmax = Vmax / Imax
where Vmax = maximum driving voltage of power source
Imax = maximum current output of power source (the circuit resistance must not be greater than the maximum allowable circuit resistance, Rmax)
(d) Anode bed resistance
The anode bed resistance Rab must not exceed the difference between the maximum allowable circuit resistance and the leadwire resistance.
     Rab = Rmax - RLW

 

2. Circuit resistance of galvanic anode system:

Figure below gives the circuit for galvanic anode systems.

The above diagram shows an equivalent electrical circuit for galvanic anode systems. 

(a) The circuit resistance is given by
      RC = RS + RLW + Rgb
where RS = structure to electrolyte resistance
RLW = leadwire resistance
Rgb = resistance of groundbed
Rgb = Rlw + Rv
Rv = resistance of vertical anode to earth
The anode resistance for multiple anodes is given by (Rlw + Rv)/N, where N is number of anodes.
(b) Structure to electrolyte resistance
      RS = (VON-VOFF)/ION
where VON = structure to electrolyte potential (current ON)
VOFF = structure to electrolyte potential (current OFF)
ION = current applied to give potential VON
(c) Maximum allowable circuit resistance
      Rmax = ED / I
where ED = driving potential of anode
I = current requirement of structure
(d) Driving potential of galvanic anode
EA = solution potential of anode
EP = protected potential of structure