## New MV/LV distribution substation

Designing a new MV/LV distribution substation is somewhat complicated and involves a lot of factors you must take care of. This technical article will try to present the essential steps in starting the design process. The beginning is always the hardest part, but once you learn the principles, it will be much easier for the next substations.

Generally, the article is based on two main parts. The first part is dedicated to the estimation of load you will have in your project (small factory as an example). The second part in more complicated and involves the various network calculations of short circuit and protection coordination.

Note that many people should be involved in obtaining all the necessary information for the project. A good start would be contacting the power supply utility personnel for sizing of the equipment, calibration of protection devices, the design and verification of the earthing system regarding the supply. Then, collecting “true” information about loads could be a painful job, etc.

Ok, let’s dive into estimations and calculations!

- Estimate of the power (supplied to a small industrial factory)
- Calculation of short circuit and coordination of protections

### 1. Estimate of the power supplied to a small industrial factory

Let’s take a small industrial plant as an example (Figure 1). Production involves a stabilized thermal cycle in the furnace for which reason a total black-out is not possible. The plant is also located in a densely populated area.

The starting point for the design is **the estimation of the consumption** of the various users. If in assessing the required power you were to consider the sum of the rated power of all equipment and users you would get a value that is certainly excessive, for two reasons:

- Some equipment might not be used at its full power
- The equipment will not all be work at the same time

This is taken into account with two coefficients: **the utilization factor K _{u} and the contemporaneity factor K_{c}**.

**for which the load diagrams are available**. However, in the case of new projects, the load diagram is unfortunately not available.

Therefore one has to estimate the actual load by using factors derived statistically on homogeneous categories of installations as proposed by CEI Guide 99-4, Annex E, presented below.

Table 1 – Load estimation by using factors derived statistically on homogeneous categories of installations

Type of system | Type of environment | ||||

Individual housing units | Civil buildings for housing | Offices, shops, warehouses, departments | Hotels, hospitals | Medium and high power industrial plants | |

Lighting | 66% of the installed power | 75% of the installed power | 90% of the installed power | 75% of the installed power | 90% of the installed power |

Heating | 100% of the power of the equipment up to 10A + 50% of the remainder | 100% of the biggest user + 50% of the remainder | 100% of the biggest user + 75% of the remainder | 100% of the biggest user + 80% of the second + 60% of the remainder | 100% of the biggest user + 75% of the remainder |

Kitchens | 100% of the power of the equipment up to 10A + 30% of the equipment over 10A permanently connected | 100% of the biggest user + 80% of the second + 60% of the remainder | – | 100% of the biggest user + 80% of the second + 60% of the remainder | – |

Motors (with the exclusion of lifts, elevators, cranes, etc.) | – | – | 100% of the biggest motor + 80% of the second motor + 60% of the remainder | 100% of the biggest motor + 80% of the second motor + 60% of the remainder | To be considered on a case by case basis |

Water heaters | No contemporaneity is allowed | ||||

Socket outlets | 100% of the biggest user + 25% of the remainder | 100% of the biggest user + 25% of the remainder | 100% of the biggest user + 40% of the remainder | 100% of the biggest user + 75% of the rooms + 25% of the remainder | 25% of the user installed |

Alternatively you can use table 101 of the **Standard EN 61439-2**:

Table 2 – Values of assumed loading

Type of load | Assumed loading factor |

Distribution: 2 and 3 circuits | 0.9 |

Distribution: 4 and 5 circuits | 0.8 |

Distribution: 6 and 9 circuits | 0.7 |

Distribution: 10 and more circuits | 0.5 |

Electric actuator | 0.2 |

Motors ≤ 100 kW | 0.8 |

Motors > 100 KW | 1.0 |

In the example provided, the power used on the main LV switchgear is **732 kVA**. Considering the values of the rated power of the transformers available commercially, it can be assumed that two transformers 400 kVA transformers will be installed. Apparently, this assumption would be resulting in a more expensive solution than that with only one 800 kVA transformer.

Nevertheless, that can be justified **by the need to have a greater continuity of service in case of failures or maintenance**.

**92% (732/800=0.92) of their rated power**, and in the case of an outage of one of the two,

**it will still be possible to provide 55% of the required power**.

**The other features of the substation are:**

- The substation is powered by a buried cable
- The transformers are closed in parallel on the secondary so as to guarantee the power supply of the LV installation by both of them
- The size of the internal MV network is less than 400 m

Table 3 – Power consumption per departments

### 2. Calculation of short circuit and coordination of protections

#### 2.1 Theory behind calculation of the short-circuit current

To deal with the theory of calculation of short-circuit currents we will refer to the Standard IEC 60909-0 “Short-circuit currents in three-phase AC systems – Part 0: Calculation of currents”. With reference to the electrical network schematized in Figure 2, a short-circuit is assumed on the load terminals.

**y using the resistance and reactance parameters**of each electrical component. The resistance and reactance values of must be all related to the same voltage value assumed as a reference for calculating the short-circuit current.

The change from impedance values Z_{1} referring to a higher voltage (U_{1}) to the values Z_{2}, referring to a lower voltage (U_{2}), takes place using the transformation ratio K = U_{1}/U_{2} according to the following relationship:

The structure of the electrical network in question can be represented through elements in series. In this way an equivalent circuit is obtained like that shown in the following Figure 3 which makes it possible to calculate the equivalent impedance seen from the fault point.

An equivalent voltage source (U_{eq}) is positioned at the point of the short circuit with the value:

U_{eq} = c × U_{n} / √3

**The factor “c”** depends on the system voltage and takes into account the influence of the loads and of the variation in mains voltage. The following is the table taken from Standard IEC 60909-0.

Table 4 – Voltage factor c for the calculation of max. and min. short-circuit currents

Nominal voltage U_{n} | Voltage factor c for the calculation of: | |

Maximum short-circuit currents C_{max}^{(1)} | Minimum short-circuit currents C_{min} | |

Low voltage100 V to 1000V (IEC 60038, table I) | 1.05^{(3)}1.10 ^{(4)} | 0.95 |

Medium voltage> 1kV to 35 kV (IEC 60038, table III) | 1.10 AM | 1.00 |

High voltage^{(2)}> 35 kV (IEC 60038, table IV) |

Where:

- C
_{max}U_{n}should not exceed the highest voltage U_{m}for equipment of power systems. - If no nominal voltage is defined C
_{max}U_{n }= U_{m}or C_{min}U_{n}= 0.90×U_{m}should be applied - For low-voltage systems with a tolerance of + 6%, for example systems renamed from 380 V to 400 V
- For low-voltage systems with a tolerance of + 10%

#### 2.2 Power supply network

In most cases, the installation will be supplied by a medium voltage distribution network, for which it is quite easy to obtain the value of the **supply voltage U _{nQ}** and the

**initial short-circuit current I”**.

_{kQ}On the basis of these data and of a correction coefficient for the change in voltage caused by the short-circuit it is possible to determine the short-circuit direct impedance of the network with the following formula:

Z_{Q} = c × U_{nQ} /( √3 × I”_{kQ})

For the calculation of the network resistance and reactance parameters, if a precise value for value for R_{Q} is not available, the following approximate formulas can be used:

X_{Q} = 0.995 × Z_{Q}

R_{Q} = 0.1 × X_{Q}

#### 2.3 Transformer

The impedance of the machine can be calculated using the rated parameters of the machine itself (rated voltage **U _{rT}**; apparent power

**S**; short circuit voltage at the rated current in percent

_{rT}**u**) using the following formula:

_{kr}Z_{T} = (u_{kr} / 100%) (U_{rT}^{2} / S_{rT})

**The resistive component** can be determined by knowing the value of the total losses. P_{krT} referring to the rated current according to the following relationship:

R_{T} = P_{krT} / (3 × I_{rT}^{2})

**The reactive component** can be determined with the classic relationship:

X_{T} = √(Z_{T}^{2} – R_{T}^{2})

#### 2.4 Cables

The impedance value of these connection elements depends on various factors (technical, constructive, temperature, etc.) that condition the linear resistance R’_{L} and the linear reactance X’_{L}. These two parameters expressed per unit of length are provided by the manufacturer of the cable.

**the resistance values are based on a reference temperature of 20 °C**. For different

**operating temperatures θ**the following formula makes it possible to relate the resistance value to the operating temperature.

R’_{Lθ }= [1 + α (θ – 20)] × R’_{L20}

where **α is the temperature coefficient that depends on the type of material** (for copper, aluminum and aluminum alloys 4×10^{-3} holds true with good approximation). Therefore, in very simple terms we have:

R_{L}= L × R’_{L} and X_{L}= L × X’_{L}

with **L** the length of the cable line.

#### 2.5 Calculation of the short-circuit current

The definition of the short-circuit resistance and reactance values of the main elements forming a circuit allow the short circuit currents in the installation to be calculated.

With reference to Figure 4, with the method of reducing elements in series the following values are determined:

- The total short-circuit resistance value
**R = ∑Ri** - The total short-circuit reactance value
**X = ∑Xi**

Once the two preceding parameters are known, it is possible to determine the total short-circuit direct impedance Z:

Z = √(R^{2} + X^{2})

Once the equivalent impedance seen from the fault point has been determined, one can proceed with the calculation of the symmetrical three-phase initial short-circuit current:

I”_{k3} = c × U_{n} / √3 Z

The three-phase short circuit is generally considered as the fault which causes the highest currents (except in particular conditions).

In the absence of rotary machines, or when their action is diminished, it also represents the permanent short-circuit current and is the value taken as a reference to determine the breaking capacity of the protection device.

#### 2.6 Calculation of the contribution of motors

In the event of a short circuit, the motor starts to function as a generator and powers the fault for a limited time corresponding to the time required to eliminate the energy that has been stored in the magnetic circuit of the motor.

**the numerical value of the motor contribution**.

In low voltage, the Standard IEC 60909-0 provides the minimum indications for which the phenomenon must be taken into account, it will be:

∑I_{rM} < 0.01 × I”_{k}

where:

**∑I**represents the sum of the rated currents of the motors connected directly to the network where the short circuit occurs._{rM}**I”**is the initial three-phase short-circuit current determined without contribution of motors._{k}

If it has to be taken into account, the impedance of the motors may be calculated using the formula:

where:

**U**is the rated voltage of the motor_{rm}**I**is the rated current of the motor_{rM}**S**is the rated apparent power of the motor (S_{rM}_{rM}= P_{rM}/(η_{rM}cosφ_{rM})**I**is the ratio between the locked rotor current and the rated current of the motor._{LR}/I_{rM}

_{LR}is often a value that is difficult to obtain an therefore it is common practice to consider this value as a

**multiple of the rated current of the motor**. The typical values of the ratio I

_{LR}/I

_{rM}vary from 4 to 6.

Finally, for groups of low voltage motors connected via cables we can, with good approximation, use the relationship:

**R _{M}/X_{M} =** 0.42 with X

_{M}= 0.922 Z

_{M}

#### 2.7 Calculation of the peak current

The short circuit current I”k can be considered to consist of two components:

**A symmetrical component i**with sinusoidal wave form and in fact symmetrical in relation to the horizontal time axis._{s}**A unidirectional component i**with exponential trend due to the presence of an inductive component._{u}

This component is characterized by a time constant τ= L/R (“R” indicates the resistance and “L” indicates the inductance of the circuit upstream of the failure point) and is extinguished after 3-6 times τ.

During the transitional period, **the unidirectional component makes the short-circuit current asymmetric**, characterized by a maximum value, referred to as the peak value, which is higher than what it would be with a purely sinusoidal magnitude.

In general we can say that, considering the effective value of the symmetrical component of the short-circuit current **I _{k}**, the value of the first peak current may vary from:

√2 I”_{k} to 2√2 I”_{k}

After the transitional period, the short-circuit current becomes practically symmetrical. An example of the current trend is shown in the following Figure 5.

The Standard IEC 60909-0 provides useful indications for calculating the peak current. In particular, it indicates the following relationship:

i_{p} = k × √2 × I”_{k}

where the value of **k** can be evaluated with the following approximate formula:

k = 1.02 + 0.98 × e^{-3R/X}

or through the following charts that show the **value of “k”** as a function of the parameter **“R/X”** or **“X/R” **(see Figure 6).

#### 2.8 Sizing and coordination of the protections

Knowledge of certain parameters is fundamental for sizing the installation. Calculations and the study of protection coordination has been published earlier in several other technical articles, so this won’t be covered here.

**Please refer to the following articles:**

Properly engineered and installed selective coordination between LV circuit breakers

Proper selection and overcurrent coordination of LV/MV protective devices

Coordination problems in electrical networks that lead to nuisance CB tripping

**Sources:**

*Technical guide The MV/LV transformer substations (passive users) by ABB**Schneider Electric Low voltage expert guides no. 5 – Coordination of LV protection devices*

Great article!

Could you clarify what K2 symbolises in figure 2?

After looking in IEC 60909-0 I am unsure whether it represents negative sequence impedance correction factor or a line-to-line short circuit?

Thanks in advance!

Sir,

Can we add a Bus coupler at Figure-1 ?

Regards.

Thank you Shashi.

Awesome Writing! Have been always a great fan of your great articles.

Amazing