## Where are ungrounded systems applied

Ungrounded systems are power systems with no intentionally applied grounding. However, they are grounded by the natural capacitance of the system to ground. Thus, the fault current level is very low, such that equipment damage is minimal.

It is not necessarily essential that the faulted area be rapidly isolated. This is an advantage and therefore, it is sometimes used in industrial plant systems where a high continuity of service is important to minimize interruptions of expensive production processes.

**high and destructive transient overvoltages**and, consequently, are always potential hazards to equipment and personnel.

Thus, they are generally not recommended, even though they are normally used.

- Faults in ungrounded systems
- Transient overvoltages (as a consequence)
- Grounded-detection methods for ungrounded systems
- Ungrounded System – easily explained (VIDEO)

### 1. Faults in ungrounded systems

Phase-to-ground faults on an ungrounded system essentially shift the normal balanced voltage triangle, as shown in Figure 1. The small currents flowing through the series phase impedances will cause a very slight distortion of the voltage triangle, but practically, it is as shown in Figure 1b.

A typical circuit is illustrated in Figure 2 showing the current flow.

The sequence networks are shown in Figure 3. The distributed capacitive reactance values **X _{1C}, X_{2C}, and X_{0C}** are very large, whereas the series reactance (or impedance) values

**X**and so on, are relatively very small. Thus, practically, X

_{1S}, X_{T}, X_{1L}, X_{0L}_{1C}is shorted out by X

_{1S}and X

_{T}in the positive-sequence network, and similarly for the negative-sequence network.

Because these series impedances are very low,

X._{1}and X_{2}approach zero, in relation to the large value of X_{0C}

Therefore:

I_{1} = I_{2} = I_{0} = V_{s}/X_{0c} *(equation 1)*

and

I_{a} = 3I_{0} = 3V_{s}/X_{0c} *(equation 2)*

This calculation can be made in **per unit (pu) or amperes (A)**, remembering that V_{S} and all the reactances (impedances) are line-to-neutral quantities.

The unfaulted phase b and c currents will be zero when determined from the sequence currents of Equation 1. This is correct for the fault itself.

_{1C}and X

_{2C}is actually paralleled with the series reactances X

_{1S}, X

_{T}, and so on, so that in the system I

_{1}and I

_{2}are not quite equal to I

_{0}. Thus, I

_{b}and I

_{c}exist and are small, but they are necessary as the return paths for I

_{a}fault current.

This is shown in Figure 2.

If **I _{a} = −1 pu**, then

**I**and

_{b}= 0.577 ∠+30°**I**.

_{c}= 0.577 ∠−30°In industrial applications where ungrounded systems might be used, **the X _{0C} is equal practically to X_{1C} = X_{2C}** and is equivalent to the charging capacitance of the transformers, cables, motors, surge-suppression capacitors, local generators, and so on, in the ungrounded circuit area.

Various reference sources provide tables and curves for typical charging capacitances per phase of the power system components. In an existing system the total capacitance can be determined by dividing the measured phase-charging current into the line-to-neutral voltage.

**X**. Because the series impedances are quite small in comparison, the fault currents are the same practically and independent of the fault location. This makes it impractical for selective location of faults on these systems by the protective relays.

_{0C}does not change significantlyWhen a phase-to-ground fault positively occurs, the unfaulted phase-to-ground voltages are increased particularly by √3 (see Figure 1b). Thus, these systems require line-to-line voltage insulation.

In the normal-balanced system (see Figure 1a) V_{an} = V_{ag}, V_{bn} = V_{bg}, and V_{cn} = V_{cg}. When a ground fault occurs, the phase-to-neutral voltages and the phase-to-ground voltages are quite different.

The

neutral n or Nis defined as‘‘the point that has the same potential as the point of junction of a group (three for three-phase systems) of equal nonreactive resistances if connected at their free ends to the appropriate main terminals (phases of the power system)’’(IEEE 100). This is the n shown in Figure 1b.

From this figure, the voltage drop around the right-hand triangle is:

V_{bg} − V_{bn} − V_{ng} = 0 *(equation 3)*

and around the left triangle: V_{cg} − V_{cn} − V_{ng} = 0 *(equation 4)*

**In addition:** V_{ng} + V_{an} = 0 *(equation 5)*

From the basic equations,

V_{ag} + V_{bg} + V_{cg} = 3V_{0} *(equation 6)*

V_{an} + V_{bn} + V_{cn} = 0 *(equation 7)*

Subtracting Equation 7 from Equation 6, substituting Equation 3 through Equation 5, and with V_{ag} = 0:

V_{ag} − V_{an} + V_{bg} − V_{bn} + V_{cg} − V_{cn} = 3V_{0},

V_{ng} + V_{ng} + V_{ng} = 3V0,

V_{ng} = V_{0} *(equation 8)*

Thus the neutral shift is zero-sequence voltage. In the balanced system of Figure 1a, **n = g, V _{0} is zero, and there is no neutral shift**.

### 2. Transient overvoltages as a consequence

Restriking arcs after current interruption in the breaker or in the fault can result in **large destructive overvoltages in ungrounded systems**. This phenomenon is illustrated in Figure 4 below.

_{S}.

Thus, in a half cycle, the voltage across the open contact is almost twice the normal peak value.

If a restrike occurs (switch closed in Figure 4), the basic +1 pu voltage of the capacitive system will shift to the system voltage of −1 pu, but because of the system inductance and inertia, it will overshoot to a maximum possibility of −3 pu.

If the arc goes out again near current zero (switch open) but restrikes (switch closed) again, the system voltage will try to shift to **+1 pu**, but yet another time overshoot, this time to a potential maximum of **+5 pu**.

This could continue to **−7 pu**, but, meanwhile, the system insulation would no doubt break down, causing a major fault. Thus, ungrounded systems should be used with caution, and applied at the lower voltages (<13.8 kV), where the system insulation levels are higher.

**prompt attention is important to locate and correct the ground fault**. As the fault current is very low, it is easy to ignore the fault and continue operation.

However, with the fault the other phases are operating at basically 1.73 times the normal line-to-ground voltage. If an insulation deterioration caused the first ground fault, the higher voltages might accelerate the breakdown of the unfaulted phases, to result in a double line-to-ground or three-phase fault.

Then, high fault currents would result, requiring fast shutdown and instant loss of production.

In actual practice totally ungrounded systems do not exist.As soon as a fault detector is applied using one or three voltage transformers, the system isgrounded through the high impedance of these devices. The resistance of the relays and associated ballast resistors help in limiting the transient overvoltages, so that very few cases of overvoltage essentially exist.

### 3. Grounded-detection methods for ungrounded systems

Voltage provides the best indication of a ground fault because the **current is very low and, basically, does not change with the fault location**. The two methods used are shown in Figure 5 and Figure 6.

These indicate that a ground fault exists but not where it is in the primary system.

#### 3.1 Three-voltage transformers

Wye-grounded–broken-delta voltage transformer connections are preferred (see Figure 5).

**Ballast resistors** are used to reduce the shift of the neutral from either unbalanced excitation paths of the voltage transformers or from ferroresonance between the inductive reactance of the voltage transformers and relays and the capacitive system.

**The voltage for the relay in Figure 5 from Figure 1b is:**

- V
_{pq}= 3V0 = V_{ag}+ V_{bg}+ V_{cg} - V
_{pq}= (√3V_{LN}cos30°) × 2 = 3V_{LN}*(equation 9)*

Thus, the voltage available to the relay for a phase-to-ground fault on the ungrounded system is three times the line-to-neutral normal voltage.

_{LN}: 69.3 V is used so that the maximum solid ground relay voltage would be

**3 × 69.3 = 208 V**. Because the relay will be used to send alarm, its continuous voltage rating should be greater than, or equal to this value. Otherwise, an

**auxiliary step-down voltage transformer must be used**.

Figure 5 is simplified. Usually, the voltage transformer will be **wye-grounded–wye-grounded** and an **auxiliary wye-grounded–broken-delta transformer** will be used.

Sometimes the main voltage transformer will have a double secondary, one of which can be connected to the broken delta. Lamps can be connected across each broken-delta secondary winding to provide visual indications.

Typical resistance values across the secondary winding, derived from experience, are shown in Table 1.

Table 1 **– Typical resistance values across secondary winding**

Resistor R |
|||

Ohms | Watts at 208V | ||

2.4 | 2,400:120 | 250 | 175 |

4.16 | 4,200:120 | 125 | 350 |

7.2 | 7,200:120 | 85 | 510 |

13.8 | 14,400:120 | 85 | 510 |

#### 3.2 Single-voltage transformers

The single-voltage transformer of Figure 6 is especially subject to possible ferroresonance, without adequate resistance in the secondary.

Without this resistance V_{bg} is calculated *(equation 10)*:

If the distributed system capacitance X_{C} divided by the transformer exciting reactance X_{e} equals 3, then theoretically, V_{bg} is infinite. Saturation of the voltage transformer would prevent this, but it is quite possible for the **voltage triangle abc** to have its ground point well outside this triangle.

This is called ‘‘neutral inversion’’, as illustrated in Figure 7.

In this case, the ratio of X_{C }/ X_{e} is 1.5, therefore, in Equation 10 above, V_{bg} = 2.0 pu as shown in Figure 7. For simplicity, resistance neither in the system nor across the voltage transformer secondary isassumed.

**Sustained phase-to-ground voltages almost four times higher have been experienced.**Also, the interaction of the variable transformer-exciting impedance with system capacitance can produce ferroresonance, with very high and distorted waveforms. This application of the single VT is not recommended, but if used the secondary system should be loaded with resistance.

This ground detection scheme must be used with caution **to avoid ‘‘neutral’’ inversion and ferroresonance**, as outlined above. The voltage relay is set to have its contacts held open for the normal line-to-ground secondary voltage.

When a ground fault occurs on phase b, the voltage collapses and the voltage relay resets to close the undervoltage contacts. If a phase a or c ground fault occurs, the relay voltage increases by about 1.73 V to cause the relay to operate on overvoltage.

Either undervoltage or overvoltage operation usually sets off an alarm to alert the operators of a ground faultso that they can arrange an orderly or convenient shutdown.

### 4. Ungrounded System – easily explained (VIDEO)

This video-series consists of three clips – one explaining the advantages of an IT-system, the second describes what happens in an IT-system in the event of an insulation fault and the last one explains how to locate an insulation fault.

#### Part 1 – The advantages of an ungrounded system

#### Part 2 – What happens in the event of an insulation fault?

#### Part 3 – How do you find ground faults in the ungrounded systems?

**Source //** Protective Relaying Principles and Applications by J. Lewis Blackburn and Thomas J. Domin (Purchase hardcover from Amazon)