# Overvoltage and Insulation Coordination of Overhead Lines in Multiple-Terminal MMC-HVDC Link for Wind Power Delivery

Authors: Huiwen He; Lei Wang; Peihong Zhou; Fei Yan
Journal: International Journal of Rotating Machinery
 (2017)

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## Abstract

The voltage-sourced converter-based HVDC link, including the modular multilevel converter (MMC) configuration, is suitable for wind power, photovoltaic energy, and other kinds of new energy delivery and grid-connection. Current studies are focused on the MMC principles and controls and few studies have been done on the overvoltage of transmission line for the MMC-HVDC link. The main reason is that environmental factors have little effect on DC cables and the single-phase/pole fault rate is low. But if the cables were replaced by the overhead lines, although the construction cost of the project would be greatly reduced, the single-pole ground fault rate would be much higher. This paper analyzed the main overvoltage types in multiple-terminal MMC-HVDC network which transmit electric power by overhead lines. Based on ±500 kV multiple-terminal MMC-HVDC for wind power delivery project, the transient simulation model was built and the overvoltage types mentioned above were studied. The results showed that the most serious overvoltage was on the healthy adjacent line of the faulty line caused by the fault clearing of DC breaker. Then the insulation coordination for overhead lines was conducted according to the overvoltage level. The recommended clearance values were given.


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## Body

## 1. Introduction

The voltage-sourced converter- (VSC-) based high-voltage DC (HVDC) transmission system is considered for a wide range of applications for wind power, photovoltaic energy, or other kinds of new energy delivery and grid-connection due to flexibly control of active power and reactive power output capability [1–4]. The Nanhui MMC-HVDC demonstration project and the Nanao multiple-terminal MMC-HVDC link have been put into operation already and achieved the stable and reliable wind power transmission [5, 6].At present, the study focuses on the MMC principles and controls and less research has been done on the overvoltage of transmission line for the MMC-HVDC project. And there are few studies on the overvoltage characteristics of multiterminal MMC-HVDC [7, 8]. State Grid Beijing Economic and Technical Research Institute has done research on the Dalian MMC-HVDC project considering the short circuit fault at AC bus, grid side and valve side of connection transformer, smoothing reactor, and DC pole bus. According to the simulation results of overvoltage, the reference voltage and switching impulse withstanding voltage of MOAs in the converter station were determined [9]. Based on the Trans Bay MMC-HVDC project, Zhejiang University studied the 14 kinds of fault and found the most serious overvoltages were caused by the single-phase grounding fault at valve side of converter transformer, the short circuit of transformer, the ground short circuit fault at valve head, DC bus grounding fault, and DC line grounding fault. The MOA configuration and insulation coordination scheme were proposed. The withstanding voltages of equipment were determined by deterministic method and the margin coefficient between withstand voltage and impulse overvoltage could be selected as 15%, 20%, and 25% for switching impulse, lighting impulse, and steep impulse, respectively [10].The researches mentioned above were focused on the converter station. Most of the MMC-HVDC projects adopt cables for power transmission all around the world. The cables buried in the ground are not affected by the surrounding environment, so the failure rate is lower [11, 12]. However, cables lines are expensive and the overhead lines can greatly reduce the cost of construction. The overhead lines are susceptible to the surrounding environment, such as lightning and pollution, and the single-pole grounding fault rate is much higher than using cable lines. Therefore, it is necessary to study the overvoltage generated by overhead line faults to support the design of line insulation.This paper focuses on the overvoltage level of overhead lines in multiple-terminal MMC-HVDC project. Firstly it pointed out the main overvoltage types of overhead lines in multiple-terminal MMC-HVDC link. Based on an ±500 kV multiple-terminal MMC-HVDC for wind power delivery project, the transient simulation model was built and various overvoltage types mentioned above were studied. Then the insulation coordination for overhead lines was conducted according to the overvoltage level. In the end the recommended clearance values were given.This paper is organized as follows. Section2 is devoted to analyzing the main overvoltage types of overhead lines in multiple-terminal MMC-HVDC link and the differences between it and conventional point-to-point LCC-HVDC project while Section 3 presents the simulation overvoltage results based on a multiple-terminal MMC-HVDC project according to Section 2. Then insulation coordination for overhead lines is conducted and the recommended clearances are given in Section 4. Finally, conclusions are drawn in Section 5.


## 2. Overvoltage Types of Overhead Line in Multiple-Terminal MMC-HVDC Project

LCC-HVDC systems are usually 2 terminals adopting overhead transmission lines and the occurrence probability of single-pole grounding fault is the highest. Statistical data show that the single-pole lightning flashover rate of ±500 kV DC transmission lines is 0.28 times per 100 km every year. In a bipolar operation, a grounding fault occurring at one pole will induce the slow front overvoltage at the sound pole through the coupling between two poles and reflection and refraction of traveling wave at both ends of line. The magnitude of the overvoltage can be estimated by the following formula:(1)Up=Udc1+Zm0-Zm1Zm0+Zm1+2Re,where Zm0 and Zm1 are zero sequence and positive sequence wave impedance of transmission line, respectively; Re is the grounding resistance.The induced overvoltage at sound pole caused by single-pole grounding fault should also be considered for overhead lines in multiple-terminal MMC-HVDC project and the magnitude of the overvoltage can be estimated by formula (1) too. In order to improve the availability of MMC-HVDC project, the DC circuit breaker would be installed for fault clearing at DC side. So the line fault clearing overvoltage and reclosing overvoltage should be considered.(1)
The line fault clearing overvoltage mainly refers to the overvoltage on the sound pole line and the adjacent sound line generated by the fault tripping. It is equivalent to superimposing a current source with a reverse fault current on the circuit breaker when the circuit breaker interrupts the fault current. The current wave propagation and reflection on the adjacent sound line form transient overvoltage. The fault current is related to the main circuit parameters of converter station, the operation characteristics of DC circuit breaker, and the fault grounding resistance.(2)
When the DC line is switched on or reclosing, the overvoltage is generated due to the difference between the initial voltage of the line to the ground and the forced voltage at the end of the transition process. The magnitude of the overvoltage can be estimated by the following formula:(2)Upc=2Uw-U0,where Uw is the forced voltage at the end of the transition process and U0 is the initial voltage of the line to the ground.Therefore 3 kinds of overvoltage are as follows, which should be studied for overhead lines of multiterminal MMC-HVDC systems:(1)
Induced overvoltage on healthy pole line caused by single-pole grounding fault(2)
Fault clearing overvoltage(3)
Closing and reclosing overvoltage.


## 3. Analysis of Overvoltage of Overhead Transmission Lines in Multiple-Terminal MMC-HVDC Project

### 3.1. Simulation Parameters

#### 3.1.1. Main Circuit Parameter

A 4-terminal ±500 kV MMC-HVDC for wind power delivery project, using half bridge and real bipolar connection, has 245 levels and DC rated voltage is 535 kV. The rated voltage of AC power network is 230 kV at delivery end A, which can send wind power out with 17 kA three-phase short circuit current, and the rated capacity of A is 3000 MW under the normal operation in island. The rated voltage of AC power network is 230 kV at delivery end B, which can send wind power out with 17 kA three-phase short circuit current, and the rated capacity of B is 1500 MW under the normal operation in island. The rated voltage of AC power network is 525 kV at delivery end C, which can send wind power out with 18 kA three-phase short circuit current, and the rated capacity of C is 1500 MW. The rated voltage of AC power network is 525 kV at delivery end D, which can send wind power out with 63 kA three-phase short circuit current, and the rated capacity of D is 3000 MW.The lengths of DC transmission lines of 4-terminal system are shown in Figure1. The type of conductors is 4 × JL/G2A-720/50 with 12.8 m pole distance, and the type of ground wire is OPGW-150 with 12 m horizontal distance, together with the model JNRLH60/G1A-400/35 of metallic return line which has the horizontal distance of 9 m. Typical tower model of tangent tower is shown in Figure 2, and the transmission line is simulated by Frequency Dependent (Phase) Model in PSCAD. In the converter station, the current limiting reactors are arranged on the pole lines and the metallic return lines; the values of reactance are 150 mH on the pole line and 300 mH on the neutral line. The reference voltage of pole line arrester is 629 kV and residual voltage is 904 kV under switch operation with 2 kA current.Figure 1
Schematic diagram of 4-terminal transmission lines.Figure 2
Typical tower diagram of single circuit transmission line.According to empirical equation (3), the arc resistance RG in the air can be calculated:(3)RG≈1050LGIG,where LG is the length of arc and IG is the rms. of current with the unit ampere. In the simulation, the sum resistance of arc and grounding tower is 4 Ω.


#### 3.1.2. Control and Protection Model of Converter Station

A double closed-loop controller is established in PSCAD to achieve converter station-level control. Double closed-loop control can be divided into an outer loop controller and an inner loop controller. The outer loop controller can calculate the current reference value of the current-mode inner loop controller according to the active and the reactive power command. The inner loop controller keeps thedq axis current tracking its reference value by adjusting the output voltage of the inverter. The control system used in the simulation is shown in Figure 3 [13–16].Figure 3
The schematic diagram of MMC control system.According to Figure3, the dynamic differential equation of AC side in three-phase stationary coordinate system is shown as (4)usausbusc=Lddtisaisbisc+Risaisbisc+ucaucbucc,where usa,usb, and usc are the measured phase A, phase B, and phase C voltages at grid side of converter transformer, respectively. isa, isb, and isc are the measured phase A, phase B, and phase C currents at grid side of converter transformer, respectively. uca, ucb, and ucc are the measured phase A, phase B, and phase C voltages at valve side of converter transformer, respectively. L is the equivalent reactance. R is the equivalent resistance.After the park transformation, the active powerP injected into the converter station from the AC system is as (5). The reactive power Q injected into the converter station from the AC system is as (6). So the decoupled control of active power and reactive power can be realized:(5)P=32usdisd+usqisq=32usdisd,(6)Q=32usdisq-usqisd=32usdisq,where usd and usq are the d axis and q axis voltages derived from park transformation of usa, usb, and usc, respectively. isd and isq are the d axis and q axis currents derived from park transformation of isa, isb, and isc, respectively.


#### 3.1.3. Wind Power Model

Two wind farms provide the power sources for 2 substations of the 4-terminal ±500 kV MMC-HVDC project. In order to calculate the accurate overvoltage level, the influence of the wind farms on overvoltage was considered.In the simulation, the electromagnetic transient model based on thedq0 transform of doubly fed induction generator was established. The dq coordinate system based on rotation speed of rotor was adopted. The voltage and current on the armature side and the exciting side satisfy [17](7)VP=-RPiP-dλPdt+ωNλP,(8)VE=-REiE-dλEdt,(9)N=00000-1010,where VP and VE are voltages on the armature side and the exciting side, respectively. RP and RE are resistance on the armature side and resistance on the exciting side, respectively. iP and iE are currents on the armature side and the exciting side, respectively. λP and λE are flux linkage matrixes on the armature side and the exciting side, respectively. ω is the angular velocity of rotor rotation.


### 3.2. Overvoltage Analysis

Two modes of operation are considered during the simulation:(1)
Normal mode:All the stations access the network.(2)
Abnormal mode:Some of the stations are unconnected to the network, which leads to a longer transmission line than normal mode.The specific calculation process is as follows. The DC operation voltage is 535 kV before fault. The fault line is divided into 10 sections. Along the line each section is grounded. Then the circuit breakers at the ends of fault line trip remove the temporary ground fault, and after the delay time the DC circuit breakers reclose. Both the overvoltages caused during the grounding and reclose processes are taken into consideration. Besides, the overvoltages caused by faults on other lines should be calculated too.


#### 3.2.1. Normal Mode

The overvoltage levels of all pole lines are shown in Table1. The maximum overvoltage of 990.77 kV (1.85 p.u., 1 p.u. = 535 kV) appeared in the B-C line, caused by the A-D line fault. The overvoltage distribution and probability distribution of B-C line are shown in Figure 4. The statistics overvoltage along the line is umbrella type distribution. In the middle of line the overvoltage is high and to both ends of the line diminishing. This is due to the installation of the arrester on the pole line bus, which can suppress the overvoltage.Table 1
Overvoltages of transmission lines under normal mode.
Lines
Overvoltages of pole lines
kV
p.u.
A-D
950
1.78
C-D
974
1.82
B-C
991
1.85
A-B
888
1.66Figure 4
The overvoltage distribution and probability distribution of B-C line caused by A-D line fault under normal mode.


#### 3.2.2. Abnormal Mode

The overvoltage levels of all pole lines were simulated under abnormal mode, which means some of the stations were unconnected to the DC grid during the simulations. The maximum overvoltage, out of hundreds of simulation results of different unconnected stations, occurred in case C station is unconnected. In this section, overvoltages of transmission lines when C station is unconnected are shown in Table2. The maximum overvoltage has the peak of 1034 kV (1.93 pu), appearing in the CD line, caused by the A-B positive line ground fault. The overvoltage distribution and probability distribution of C-D line are shown in Figure 5, under situation of the unconnected C station. The maximum overvoltage waveform and the corresponding pole bus waveform are shown in Figure 6. It can be seen that the maximum overvoltage occurs during the DC circuit breaker opening process. Depending on the time difference between peaks, the peaks of the waveform in Figure 6 were caused by the different wave velocities of reflected positive sequence and zero sequence waves.Table 2
Overvoltages of transmission lines under abnormal mode (C station is unconnected).
Lines
Overvoltages of pole lines
kV
p.u.
A-D
998
1.87
C-D
1034
1.93
B-C
1010
1.89
A-B
896
1.68Figure 5
The overvoltage distribution and probability distribution of C-D line caused by A-B line fault with unconnected C station.Figure 6
The waveforms of maximum overvoltage on C-D line and pole bus of D station under the mode of unconnected C station.


## 3.1. Simulation Parameters

### 3.1.1. Main Circuit Parameter

A 4-terminal ±500 kV MMC-HVDC for wind power delivery project, using half bridge and real bipolar connection, has 245 levels and DC rated voltage is 535 kV. The rated voltage of AC power network is 230 kV at delivery end A, which can send wind power out with 17 kA three-phase short circuit current, and the rated capacity of A is 3000 MW under the normal operation in island. The rated voltage of AC power network is 230 kV at delivery end B, which can send wind power out with 17 kA three-phase short circuit current, and the rated capacity of B is 1500 MW under the normal operation in island. The rated voltage of AC power network is 525 kV at delivery end C, which can send wind power out with 18 kA three-phase short circuit current, and the rated capacity of C is 1500 MW. The rated voltage of AC power network is 525 kV at delivery end D, which can send wind power out with 63 kA three-phase short circuit current, and the rated capacity of D is 3000 MW.The lengths of DC transmission lines of 4-terminal system are shown in Figure1. The type of conductors is 4 × JL/G2A-720/50 with 12.8 m pole distance, and the type of ground wire is OPGW-150 with 12 m horizontal distance, together with the model JNRLH60/G1A-400/35 of metallic return line which has the horizontal distance of 9 m. Typical tower model of tangent tower is shown in Figure 2, and the transmission line is simulated by Frequency Dependent (Phase) Model in PSCAD. In the converter station, the current limiting reactors are arranged on the pole lines and the metallic return lines; the values of reactance are 150 mH on the pole line and 300 mH on the neutral line. The reference voltage of pole line arrester is 629 kV and residual voltage is 904 kV under switch operation with 2 kA current.Figure 1
Schematic diagram of 4-terminal transmission lines.Figure 2
Typical tower diagram of single circuit transmission line.According to empirical equation (3), the arc resistance RG in the air can be calculated:(3)RG≈1050LGIG,where LG is the length of arc and IG is the rms. of current with the unit ampere. In the simulation, the sum resistance of arc and grounding tower is 4 Ω.


### 3.1.2. Control and Protection Model of Converter Station

A double closed-loop controller is established in PSCAD to achieve converter station-level control. Double closed-loop control can be divided into an outer loop controller and an inner loop controller. The outer loop controller can calculate the current reference value of the current-mode inner loop controller according to the active and the reactive power command. The inner loop controller keeps thedq axis current tracking its reference value by adjusting the output voltage of the inverter. The control system used in the simulation is shown in Figure 3 [13–16].Figure 3
The schematic diagram of MMC control system.According to Figure3, the dynamic differential equation of AC side in three-phase stationary coordinate system is shown as (4)usausbusc=Lddtisaisbisc+Risaisbisc+ucaucbucc,where usa,usb, and usc are the measured phase A, phase B, and phase C voltages at grid side of converter transformer, respectively. isa, isb, and isc are the measured phase A, phase B, and phase C currents at grid side of converter transformer, respectively. uca, ucb, and ucc are the measured phase A, phase B, and phase C voltages at valve side of converter transformer, respectively. L is the equivalent reactance. R is the equivalent resistance.After the park transformation, the active powerP injected into the converter station from the AC system is as (5). The reactive power Q injected into the converter station from the AC system is as (6). So the decoupled control of active power and reactive power can be realized:(5)P=32usdisd+usqisq=32usdisd,(6)Q=32usdisq-usqisd=32usdisq,where usd and usq are the d axis and q axis voltages derived from park transformation of usa, usb, and usc, respectively. isd and isq are the d axis and q axis currents derived from park transformation of isa, isb, and isc, respectively.


### 3.1.3. Wind Power Model

Two wind farms provide the power sources for 2 substations of the 4-terminal ±500 kV MMC-HVDC project. In order to calculate the accurate overvoltage level, the influence of the wind farms on overvoltage was considered.In the simulation, the electromagnetic transient model based on thedq0 transform of doubly fed induction generator was established. The dq coordinate system based on rotation speed of rotor was adopted. The voltage and current on the armature side and the exciting side satisfy [17](7)VP=-RPiP-dλPdt+ωNλP,(8)VE=-REiE-dλEdt,(9)N=00000-1010,where VP and VE are voltages on the armature side and the exciting side, respectively. RP and RE are resistance on the armature side and resistance on the exciting side, respectively. iP and iE are currents on the armature side and the exciting side, respectively. λP and λE are flux linkage matrixes on the armature side and the exciting side, respectively. ω is the angular velocity of rotor rotation.


## 3.1.1. Main Circuit Parameter

A 4-terminal ±500 kV MMC-HVDC for wind power delivery project, using half bridge and real bipolar connection, has 245 levels and DC rated voltage is 535 kV. The rated voltage of AC power network is 230 kV at delivery end A, which can send wind power out with 17 kA three-phase short circuit current, and the rated capacity of A is 3000 MW under the normal operation in island. The rated voltage of AC power network is 230 kV at delivery end B, which can send wind power out with 17 kA three-phase short circuit current, and the rated capacity of B is 1500 MW under the normal operation in island. The rated voltage of AC power network is 525 kV at delivery end C, which can send wind power out with 18 kA three-phase short circuit current, and the rated capacity of C is 1500 MW. The rated voltage of AC power network is 525 kV at delivery end D, which can send wind power out with 63 kA three-phase short circuit current, and the rated capacity of D is 3000 MW.The lengths of DC transmission lines of 4-terminal system are shown in Figure1. The type of conductors is 4 × JL/G2A-720/50 with 12.8 m pole distance, and the type of ground wire is OPGW-150 with 12 m horizontal distance, together with the model JNRLH60/G1A-400/35 of metallic return line which has the horizontal distance of 9 m. Typical tower model of tangent tower is shown in Figure 2, and the transmission line is simulated by Frequency Dependent (Phase) Model in PSCAD. In the converter station, the current limiting reactors are arranged on the pole lines and the metallic return lines; the values of reactance are 150 mH on the pole line and 300 mH on the neutral line. The reference voltage of pole line arrester is 629 kV and residual voltage is 904 kV under switch operation with 2 kA current.Figure 1
Schematic diagram of 4-terminal transmission lines.Figure 2
Typical tower diagram of single circuit transmission line.According to empirical equation (3), the arc resistance RG in the air can be calculated:(3)RG≈1050LGIG,where LG is the length of arc and IG is the rms. of current with the unit ampere. In the simulation, the sum resistance of arc and grounding tower is 4 Ω.


## 3.1.2. Control and Protection Model of Converter Station

A double closed-loop controller is established in PSCAD to achieve converter station-level control. Double closed-loop control can be divided into an outer loop controller and an inner loop controller. The outer loop controller can calculate the current reference value of the current-mode inner loop controller according to the active and the reactive power command. The inner loop controller keeps thedq axis current tracking its reference value by adjusting the output voltage of the inverter. The control system used in the simulation is shown in Figure 3 [13–16].Figure 3
The schematic diagram of MMC control system.According to Figure3, the dynamic differential equation of AC side in three-phase stationary coordinate system is shown as (4)usausbusc=Lddtisaisbisc+Risaisbisc+ucaucbucc,where usa,usb, and usc are the measured phase A, phase B, and phase C voltages at grid side of converter transformer, respectively. isa, isb, and isc are the measured phase A, phase B, and phase C currents at grid side of converter transformer, respectively. uca, ucb, and ucc are the measured phase A, phase B, and phase C voltages at valve side of converter transformer, respectively. L is the equivalent reactance. R is the equivalent resistance.After the park transformation, the active powerP injected into the converter station from the AC system is as (5). The reactive power Q injected into the converter station from the AC system is as (6). So the decoupled control of active power and reactive power can be realized:(5)P=32usdisd+usqisq=32usdisd,(6)Q=32usdisq-usqisd=32usdisq,where usd and usq are the d axis and q axis voltages derived from park transformation of usa, usb, and usc, respectively. isd and isq are the d axis and q axis currents derived from park transformation of isa, isb, and isc, respectively.


## 3.1.3. Wind Power Model

Two wind farms provide the power sources for 2 substations of the 4-terminal ±500 kV MMC-HVDC project. In order to calculate the accurate overvoltage level, the influence of the wind farms on overvoltage was considered.In the simulation, the electromagnetic transient model based on thedq0 transform of doubly fed induction generator was established. The dq coordinate system based on rotation speed of rotor was adopted. The voltage and current on the armature side and the exciting side satisfy [17](7)VP=-RPiP-dλPdt+ωNλP,(8)VE=-REiE-dλEdt,(9)N=00000-1010,where VP and VE are voltages on the armature side and the exciting side, respectively. RP and RE are resistance on the armature side and resistance on the exciting side, respectively. iP and iE are currents on the armature side and the exciting side, respectively. λP and λE are flux linkage matrixes on the armature side and the exciting side, respectively. ω is the angular velocity of rotor rotation.


## 3.2. Overvoltage Analysis

Two modes of operation are considered during the simulation:(1)
Normal mode:All the stations access the network.(2)
Abnormal mode:Some of the stations are unconnected to the network, which leads to a longer transmission line than normal mode.The specific calculation process is as follows. The DC operation voltage is 535 kV before fault. The fault line is divided into 10 sections. Along the line each section is grounded. Then the circuit breakers at the ends of fault line trip remove the temporary ground fault, and after the delay time the DC circuit breakers reclose. Both the overvoltages caused during the grounding and reclose processes are taken into consideration. Besides, the overvoltages caused by faults on other lines should be calculated too.


### 3.2.1. Normal Mode

The overvoltage levels of all pole lines are shown in Table1. The maximum overvoltage of 990.77 kV (1.85 p.u., 1 p.u. = 535 kV) appeared in the B-C line, caused by the A-D line fault. The overvoltage distribution and probability distribution of B-C line are shown in Figure 4. The statistics overvoltage along the line is umbrella type distribution. In the middle of line the overvoltage is high and to both ends of the line diminishing. This is due to the installation of the arrester on the pole line bus, which can suppress the overvoltage.Table 1
Overvoltages of transmission lines under normal mode.
Lines
Overvoltages of pole lines
kV
p.u.
A-D
950
1.78
C-D
974
1.82
B-C
991
1.85
A-B
888
1.66Figure 4
The overvoltage distribution and probability distribution of B-C line caused by A-D line fault under normal mode.


### 3.2.2. Abnormal Mode

The overvoltage levels of all pole lines were simulated under abnormal mode, which means some of the stations were unconnected to the DC grid during the simulations. The maximum overvoltage, out of hundreds of simulation results of different unconnected stations, occurred in case C station is unconnected. In this section, overvoltages of transmission lines when C station is unconnected are shown in Table2. The maximum overvoltage has the peak of 1034 kV (1.93 pu), appearing in the CD line, caused by the A-B positive line ground fault. The overvoltage distribution and probability distribution of C-D line are shown in Figure 5, under situation of the unconnected C station. The maximum overvoltage waveform and the corresponding pole bus waveform are shown in Figure 6. It can be seen that the maximum overvoltage occurs during the DC circuit breaker opening process. Depending on the time difference between peaks, the peaks of the waveform in Figure 6 were caused by the different wave velocities of reflected positive sequence and zero sequence waves.Table 2
Overvoltages of transmission lines under abnormal mode (C station is unconnected).
Lines
Overvoltages of pole lines
kV
p.u.
A-D
998
1.87
C-D
1034
1.93
B-C
1010
1.89
A-B
896
1.68Figure 5
The overvoltage distribution and probability distribution of C-D line caused by A-B line fault with unconnected C station.Figure 6
The waveforms of maximum overvoltage on C-D line and pole bus of D station under the mode of unconnected C station.


## 3.2.1. Normal Mode

The overvoltage levels of all pole lines are shown in Table1. The maximum overvoltage of 990.77 kV (1.85 p.u., 1 p.u. = 535 kV) appeared in the B-C line, caused by the A-D line fault. The overvoltage distribution and probability distribution of B-C line are shown in Figure 4. The statistics overvoltage along the line is umbrella type distribution. In the middle of line the overvoltage is high and to both ends of the line diminishing. This is due to the installation of the arrester on the pole line bus, which can suppress the overvoltage.Table 1
Overvoltages of transmission lines under normal mode.
Lines
Overvoltages of pole lines
kV
p.u.
A-D
950
1.78
C-D
974
1.82
B-C
991
1.85
A-B
888
1.66Figure 4
The overvoltage distribution and probability distribution of B-C line caused by A-D line fault under normal mode.


## 3.2.2. Abnormal Mode

The overvoltage levels of all pole lines were simulated under abnormal mode, which means some of the stations were unconnected to the DC grid during the simulations. The maximum overvoltage, out of hundreds of simulation results of different unconnected stations, occurred in case C station is unconnected. In this section, overvoltages of transmission lines when C station is unconnected are shown in Table2. The maximum overvoltage has the peak of 1034 kV (1.93 pu), appearing in the CD line, caused by the A-B positive line ground fault. The overvoltage distribution and probability distribution of C-D line are shown in Figure 5, under situation of the unconnected C station. The maximum overvoltage waveform and the corresponding pole bus waveform are shown in Figure 6. It can be seen that the maximum overvoltage occurs during the DC circuit breaker opening process. Depending on the time difference between peaks, the peaks of the waveform in Figure 6 were caused by the different wave velocities of reflected positive sequence and zero sequence waves.Table 2
Overvoltages of transmission lines under abnormal mode (C station is unconnected).
Lines
Overvoltages of pole lines
kV
p.u.
A-D
998
1.87
C-D
1034
1.93
B-C
1010
1.89
A-B
896
1.68Figure 5
The overvoltage distribution and probability distribution of C-D line caused by A-B line fault with unconnected C station.Figure 6
The waveforms of maximum overvoltage on C-D line and pole bus of D station under the mode of unconnected C station.


## 4. Insulation Coordination of Pole Lines

According to IEC 60071-3, the switching impulse 50% flashover voltageU50%s of air gap between wire and tower can be calculated in (10), which can be used for insulation coordination of pole lines:(10)U50%s=KaK3′1-2σsUm,whereUm is maximum voltage of system (535 kV in this paper), Ka is discharge voltage correction coefficient of air density and humidity of the switch impulse voltage, K3′ is the per unit value of overvoltage, and σs is the standard deviation.Altitude correction can be conducted by IEC 60071-2 with safety margin. The calculation formula is showed by(11)Ka=emH/8150,where H is the altitude above sea level measured in meters and the value of m depended on the type of voltage impulse.The discharge curve of air gap of double circuit tower is provided by CEPRI tested on upper layer of ±500 kV DC double circuit transmission line, and the discharge curve of air gap of single circuit tower is tested on ±500 kV real type tower with V-type insulator string. The air gap flashover curve could be obtained by referring to relevant papers [18]. The calculated air gaps of single circuit and double circuit on one tower under switch impulse voltage are shown in Table 3. The required values of air gaps are considered under normal mode and abnormal mode (without C substation).Table 3
Required values of air gaps under switch impulse overvoltage for a 4-terminal MMC-HVDC project.
Lines
Switching overvoltage level (p.u.)
Required 50% switching impulse discharge voltage
Altitude (m)
0
1000
2000
A-D
1.9 p.u.
1130
2.73
3.13
3.63
C-D
1.93 p.u.
1147
2.79
3.21
3.73
B-C
1.9 p.u.
1130
2.73
3.13
3.63
A-B
1.7 p.u.
1011
2.4
2.75
3.2


## 5. Conclusion

(1)
It is different from circuit breaker adopted MMC-HVDC system and LCC-HVDC when confronted with overvoltage of transmission line. In LCC-HVDC, only the induced overvoltage on sound line caused by single-pole line fault is considered. Besides the induced overvoltage, the fault clearing overvoltage and reclosing overvoltage of transmission line have to be taken into consideration in the case of multiterminal MMC-HVDC project.
(2)
The statistics overvoltage on the sound line caused by ground fault presents the umbrella type distribution along the line. In the middle of line the overvoltage is high and to both ends of the line diminishing. In this paper, the simulated overvoltage of the project is up to 1.93 p.u., occurring during the DC circuit breaker clearing the DC side failure. The suppression measures of DC circuit breaker causing overvoltage need further study.
(3)
The required minimal clearance of pole lines under switch impulse overvoltage can be selected as 2.79 m at an altitude of 0 m. Differential air gap selection for various transmission lines is also recommended.
(4)
The mechanism for the generation of overvoltages has not been clearly explained. The quantitative influence of the line length, the grounding mode of the valve side of converter, and the network structure on the overvoltage level should be further studied to support the project design.



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*Source: 4849262-2017-10-25.xml*