Phase Imbalance in Distribution Networks

In a balanced three-phase network, the magnitudes of the voltages and currents in all three phases are the same and these voltages and currents phase are shifted symmetrically by 120 degrees to each other. If the magnitudes are not the same and phase-shifts are different from the 120 degrees, the network is unbalanced.

Eskom strive to supply a balanced set of voltages at the supply points. Although Eskom may attempt to supply a balanced set of voltages, they do not. This is probably true for the point of supply at the generator terminals, but between the generator terminals and the end user are Transmission, Distribution and often Reticulation Networks that are not maintained or monitored with the same diligence that is required to supply balanced voltages. Often the network operators are oblivious to unbalances occurring on the network. Perhaps there are Negative Protection System installed on the Transmission Networks, but it is doubtful that such protective devices exist on Distribution and Reticulation Networks.

Low Voltage (LV) network unbalances are caused by unequal phase impedances, single-phase laterals and other structural asymmetries of LV networks, uneven allocation of single-phase consumers across the three phases on mostly rural reticulation networks, unbalanced three-phase loads and random variation of consumption over time. In addition, the presence of single- phase distributed generation, for example single-phase solar inverters also contributes to the phase imbalances occurring in LV networks. However, load asymmetry represents the main cause of voltage and current imbalances in LV networks. Asymmetric faults are another source of voltage or current imbalances, but these are usually transient events and are usually cleared quickly from the grid, so it could often be ignored.

In many cases operators and maintenance crews are unaware of the negative consequences that phase imbalances can have on LV networks and electrical equipment. Current imbalances would lead to a reduction in the serviceable loading capacity of LV cables and distribution transformers. Because of the imbalances, some of the phases could carry higher loads while the remaining phase of phases could be lightly loaded but, the limiting factor for the addition of three-phase loads is the current on the highest loaded phase or phases.

Current imbalances can also cause additional heat losses in distribution transformers and LV cables in both the phase and neutral conductors. These types of losses represent a significant part of the total losses occurring in LV networks.

When end users, such as municipalities, are supplied by unbalanced voltages, induction machines and power converters face adverse effects such as reduced efficiency, increased losses, potentially dangerous overheating and, in some situations, premature failures. At severe voltage or current imbalance levels, some types of protection relays could malfunction, leading to miscoordination, nuisance tripping and lack of selectivity.

In the United States, voltage magnitude variations are limited to ±5% and in most European countries it is limited to ±10%. For the rest of the world, these limits are not much different.

The question is: is Eskom aware what is happening on the Distribution and Reticulation Networks? It is highly unlikely that they do. In a recent unrelated “survey”, I came across a 10-minute averaged voltage unbalance of 327% between Phase 2 and Phase 1.

The second question is: would this be restricted to just the one substation? It is highly unlikely. In another post I will talk about and incident where the Negative Phase Sequence occurred on the Transmission Network which affected the entire region.

In a balanced three-phase network, the magnitudes of the voltages and currents in all three phases are the same and these voltages and the phases voltages and currents are shifted symmetrically by 120 degrees to each other. If the magnitudes are not the same and phase-shifts are different from the 120 degrees, the network is unbalanced.

In the picture below, the Voltage Vector for the ideal network is shown with the magnitudes of the voltages being equal and the phases shifted symmetrically by 120 degrees to each other, while the solid lines showing the results recorded. The magnitudes of the actual voltages are not equal since the Yellow/White Phase 2 is almost negligible and the phases are not shifted symmetrically.

Eskom strive to supply a balanced set of voltages at the supply points. But they do not always do that. This is probably true for the point of supply at the generator terminals, but between the generator terminals and the end user are Transmission, Distribution and often Reticulation Networks that are not maintained or monitored with the same diligence to supply voltages with the same magnitudes and phase-shifts as mentioned above.

Often the network operators and maintenance crews are oblivious to unbalances occurring on the network. Perhaps there are Negative Protection System installed at the Generating Stations and on the Transmission Networks, but it is doubtful that such protective devices exist on Distribution and Reticulation Networks.

Low Voltage (LV) network unbalances are caused by unequal phase impedances, single-phase faults and other structural asymmetries of LV networks, uneven allocation of single-phase consumers across the three phases on mostly rural reticulation networks, unbalanced three-phase loads and random variations of consumption over time. In addition, the presence of single-phase distributed generation, for example, single-phase solar inverters also contribute to the phase imbalances occurring in LV networks. However, load asymmetry represents the main cause of voltage and current imbalances in LV networks. Asymmetric faults are another source of voltage or current imbalances, but these are usually transient events and are usually cleared quickly from the grid, so it could often be ignored.

In many cases operators and maintenance crews are unaware of the negative consequences that phase imbalances can have on LV networks and electrical equipment. Current imbalances would lead to a reduction in the serviceable loading capacity of LV cables and distribution transformers. Because of the imbalances, some of the phases could carry higher loads while the remaining phase of phases could be lightly loaded but, the limiting factor for the adding more three-phase loads is the current on the highest loaded phase or phases.

Current imbalances can also cause additional heat losses in distribution transformers and LV cables in both the phase and neutral conductors. These types of losses represent a significant part of the total losses occurring in LV networks.

When end users, such as municipalities, are supplied by unbalanced voltages, induction machines and power converters face adverse effects such as reduced efficiency, increased losses, potentially dangerous overheating and, in some situations, premature failures. At severe voltage or current imbalance levels, some types of protection relays could malfunction, leading to lack of coordination, nuisance tripping and lack of selectivity.

In the United States, the voltage magnitude variations are limited to ±5% and in most European countries it is limited to ±10%. For the rest of the world, these limits for voltage magnitude variations are quite similar.

The question is: is Eskom aware what is happening on the Transmission, Distribution and Reticulation Networks? It is highly unlikely that they do. When looking at Eskom’s Quality of Supply document, there is a lot being said about the consequences of unbalanced voltages, but I cannot find the voltage magnitude variations limits.

In a recent unrelated “survey”, I came across a voltage magnitude variation unbalance of 327% between Phase 2 and Phase 1. The instrument was set to record the values at 10-minute intervals and the 327% is the average over that period. See the picture below.

Since the medium-voltage supply comes directly from an Eskom substation which is probably about 20-metres away, one wonders what is going on at the Eskom substation since it is highly unlikely that the voltage unbalance is as a result faulty equipment at the municipal substation. It is as if one phase is completely missing. The same “missing” phase also show an abnormal high current. The neutral current which is supposed to be at or close to zero is also very high.

The second question is: would this be restricted to just the one substation? It is highly unlikely. In another post that is due to come out soon, I will talk about and incident where the Negative Phase Sequence occurred on the Transmission Network which affected the entire region.

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Load Shedding Consequences

When switchgear is poorly maintained and operated continuously, it is only a matter of time before something significant occurs. However, if these extreme events go unnoticed, the consequences can be long-lasting.

During load-shedding, circuit-breakers should be opened when load-shedding starts and closed when load-shedding ends. Unfortunately, the contacts of these circuit-breakers are often concealed. As a result, if one contact fails to connect during the closing process, it may go undetected unless a thorough analysis is conducted, which is unlikely.

Negative Sequence Currents

When one phase is “missing” in a power system, it becomes unbalanced, resulting in negative sequence currents. These negative sequence currents can have detrimental effects on power system equipment and operation. Here are some potential consequences:

  1. Increased Heating: The absence of a phase can cause increased heating in motors, generators, and transformers. This elevated temperature can lead to potential damage or reduce the lifespan of these components.
  2. Mechanical Stresses: Rotating machinery, such as motors and generators, experiences mechanical stresses due to the unbalanced currents. Vibrations and torque pulsations may occur, affecting the overall system stability.
  3. Voltage Dips and Unbalanced Voltages: Negative sequence currents can lead to voltage dips and unbalanced voltages. These fluctuations can impact the performance of connected loads and sensitive equipment.
  4. Increased Power Losses: The unbalanced system results in increased power losses due to the uneven distribution of currents. This inefficiency affects overall system efficiency.

The Ideal Voltage Vector is depicted in the image with a Power Factor of 0.9 and at the rated circuit voltage of 6.6 kV. This vector represents the ideal voltage magnitude and phase angle for a balanced system, assuming a lagging power factor (cosine of the angle). It’s an essential concept in power engineering and helps analyze system behavior under different conditions.

However, the Voltage Vector obtained at 03:40:00 on 2023-09-05 was totally different as can be seen in the picture below.

The picture below shows the Ideal Voltage Vector with the recorded Voltage Vector superimposed on top.

  1. Phase 1 & 3 Voltages:
  • The voltages recorded on Phases 1 and 3 were over 7.2 kV.
  • This means that the voltage levels for these phases exceeded 7,200 volts.
  1. Phase 2 Voltage:
  • In contrast, the recorded voltage on Phase 2 was almost negligible.
  • Negligible voltage implies that it was significantly lower than the voltages observed in Phases 1 and 3.
  1. Currents and System Balance:
  • The currents recorded will provide additional insight.
  • The unbalanced system is evident from the significant difference in voltages between the phases.

In summary, the voltage readings indicate an unbalanced system, with Phases 1 and 3 having high voltages while Phase 2 remains at a much lower level.

Consequences

  1. Voltage Vector:
  • The voltage vector represents the voltages across the three phases (Phase 1, Phase 2, and Phase 3) in an electrical system.
  • When we visualize this vector, we can imagine it as an ellipse due to the varying magnitudes and phase angles of the voltages.
  1. Off-Center Ellipse:
  • In this case, the ellipse is described as off-center.
  • This means that the voltages in the three phases are not balanced or symmetrical.
  • An off-center ellipse indicates that the system is experiencing unbalanced voltages.
  1. Impact on Electric Motors:
  • When electric motors are connected to such an unbalanced network, several issues arise:
    • Bearing Stress: The off-center ellipse causes uneven magnetic forces within the motor windings. As a result, the bearings experience **uneven stress** due to the varying magnetic fields.
    • Vibration: The uneven magnetic forces lead to vibration in the motor. This vibration can be significant and detrimental to the motor’s performance and longevity.

In summary, the off-center voltage ellipse can wreak havoc on electric motor bearings, causing vibration and potential damage. Engineers and maintenance personnel should address this unbalanced system to ensure optimal motor operation and prevent premature wear and tear.

Negative Phase Sequencing

  1. Negative Phase Sequencing:
  • Negative phase sequencing refers to the incorrect order of phases in a three-phase electrical system.
  • Detecting this issue is crucial because it affects the overall health and stability of the system.
  1. Why It Matters:
  • While operators and maintenance crews may not always notice negative phase sequencing, it can lead to serious consequences.
  • Negative sequence currents can cause motor overheating, increased losses, and reduced efficiency.
  • Addressing this issue promptly helps prevent equipment damage and ensures reliable operation.
  1. Challenges in Detection:
  • Detecting negative sequence currents is challenging without specialized equipment.
  • Power Quality Monitors are essential for accurate measurements. These devices analyze voltage and current waveforms to identify imbalances.
  • Other protective devices, such as Negative Sequence Current Protection, Differential Protection, or Voltage-Based Protection Relays, can be installed permanently.
  • However, on medium voltage networks, the installation of such protective devices may be doubtful due to cost considerations or other factors.

In summary, while negative phase sequencing may go unnoticed by operators, investing in specialized equipment and protective relays is crucial for maintaining a healthy electrical system.

Actual Incident

Recently, I encountered another incident related to power quality. After analyzing the results from my Power Quality Monitor over the course of a week, I observed significant discrepancies in the current across the three phases. Under low load conditions, the currents seemed balanced, but as the load increased, one phase experienced a substantial increase in current, along with a corresponding rise in neutral current. This discrepancy concerned me, prompting further investigation. Upon closer examination, I discovered that the voltage on one of the phases had dropped to nearly negligible levels.

The image below illustrates how the voltages of Phases 1 and 3 surged during a swell incident, while Phase 2 (indicated in yellow) became almost negligible.

During a recent incident lasting 244 milliseconds, the voltages on Phase 1 and Phase 3 of what was supposed to be a 6.6 kV feeder exceeded 10 kV. Meanwhile, Phase 3 nearly reached 0 V. This substantial increase — over 51% above the rated voltage of the network — raises concerns and warrants further investigation to identify the cause of this voltage discrepancy

Follow-Up Investigations

Whether an investigation will be carried out and when is unpredictable.

This work was done for a consultant to determine whether additional load can be added without any upgrading of the network. It was done at a medium-voltage municipal substation with the knowledge and consent of the municipal engineering department. As a courtesy, the results were sent to the municipal engineering department by the consultant, and we must now wait for their reaction.

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