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190   Chapter Eleven


                                                        Copper      Aluminum       Steel
                                   Conditions            Max           Max          Max
                                   of Bare            Temperature  Temperature  Temperature
                                   PE                 ( C)/k Value  ( C)/k Value  ( C)/k Value
                                                       ◦
                                                                                 ◦
                                                                    ◦
                                   Visible and in       500/228      300/125      500/82
                                     restricted areas
                                   In normal conditions  200/159     200/105      200/58
                                     areas
                                   In fire risk areas    150/138      150/91       150/50
                                  TABLE 11.7 Values of Maximum Temperatures of Bare Protective Conductors


                                     In the case of a bare PE not bunched with other cables, the max-
                                  imum temperature the conductor can achieve is not dictated by in-
                                  sulation’s thermal capabilities, but by the surrounding environment.
                                  The bare PE in fault conditions, in fact, may become a temperature hot
                                  object and trigger fires or explosive atmospheres. For safety reasons,
                                  then, IEC 60364–5-54 lists the maximum temperatures of bare PEs
                                  exposed to touch, as a function of the surrounding conditions, assum-
                                  ing these temperatures are not a risk of damage to any neighboring
                                  material. Table 11.7 shows the maximum temperatures for different
                                  materials and conditions.

                                  11.3.1.1 Iterative Method of Calculation
                                  The following Eq. (11.10), derived by Eq. (11.9), clearly shows that
                                  the cross-sectional area S of protective conductors depends on the
                                  prospective phase-to-ground current I flowing through it:

                                                               √
                                                                I t
                                                                 2
                                                           S ≥                        (11.10)
                                                                k
                                     However, the value of I can be calculated only by knowing the
                                  impedance of the PE, which varies according to its cross-sectional
                                  area S. Thus, I and S in Eq. (11.10) are not independent quantities from
                                  each other, especially in TN systems, where ground-fault currents will
                                  return to the source through protective conductors.
                                     To solve this quandary, an iterative method to size S, as depicted
                                  in Fig. 11.3, should be employed.
                                     One can start by selecting the minimum standard cross-sectional
                                                2
                                  area (i.e., 1.5 mm ) and calculate maximum and minimum phase-to-
                                  ground fault currents accordingly. The maximum ground-fault cur-
                                  rent originates for a fault at the beginning of the circuit (e.g., contact
                                  between phase and protective conductors), as there is virtually no
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