Risk Assessment Method of UHV AC/DC Power System under Serious Disasters
Abstract
:1. Introduction
2. Chain Failure Model
2.1. Chain Failure Probability Calculation
- (1)
- Outage of the components can usually be divided into two types: independent outages and related outages. Due to the short duration of severe disasters (such as earthquakes and typhoons), the independent outages consider the forcible outage models in which the failure can be repaired. The related outages consider the environmental interdependence and interlocking models, and do not consider the plan outage and aging failure.
- (2)
- The failure rate of the component is constant during the fault and no new fault occurs during system recovery.
- (3)
- All initial faulty components fail simultaneously under the hazard (taking into account the most severe three-phase permanent short-circuit) and are independent of each other. The subsequent failure caused by the initial failure must occur under the conditions of the simulation, which can be considered a conditional probability of 1, so we only need to calculate the probability of occurrence of the initial set of failures.
- (4)
- Since the probability of protection fault is low, only the primary protection faults developed by the initial failures set are taken into account.
- (1)
- First of all, the disaster history database is established to predict the area where the disaster may occur in the future. Combining with the data of component damage under the disaster of a domestic power system, the fault probability value of electrical equipment is calculated and the data is provided for the risk assessment.
- (2)
- According to the prediction result of disaster area, the initial fault set (including the protection hidden fault) is set up, and the simulation is carried out in BPA to get the chain fault.
- (3)
- The system state is sampled by non-sequential Monte Carlo method, and the component failure frequency and average repair time are calculated. The relevant calculation is as follows [16]:where fto is the average failure frequency; rto is the average repair time; fad and fno are the failure frequencies under severe and normal climatic conditions, respectively; rad and rno are the mean repair times under the severe and normal climatic conditions, respectively; and Pad and (1 − Pad) are probabilities of severe and normal climatic conditions, respectively.Since data acquisition systems usually do not distinguish between failure events in normal and severe climates, only the average failure frequency and mean repair time in the past years are available. Therefore, two parameters, F and M, can be introduced, where F is the percentage of failures that occur under adverse climates and should be between 0 and 1. M is a multiple of the repair time under severe weather conditions compared to normal climatic conditions and must be equal to or greater than 1. Normally F and M can be estimated from engineering judgment. From the definitions of F and M, the variables relationship shown in Equation (3) can be derived from Equations (1) and (2):
- (4)
- After the average failure frequency and average repair time are obtained in step 3, the component failure rate can be calculated and the probability of the initial fault set can be calculated. Under simulation conditions, that is, chain failure rate, as shown in Equations (4)–(6):where is repair rate, is failure rate, t is the faulty component, E is the initial failure rate of the system, and 8760 is the number of hours of one year.
2.2. The Control Strategy after Fault and the Termination Condition of Fault
2.3. Fault Recovery Method
2.4. Calculation of System Risk Indicators
3. System Risk Indicators
- (1)
- In the UHV power grid, with more load placement, the transmission distance is far. Therefore, the grid structure has a great influence on the grid operation and stability.
- (2)
- In the AC/DC hybrid transmission structure, the sending and receiving ends still keep running synchronously. The stability problem of the transmission line is mainly caused by the short circuit fault of the AC system and the commutation failure of the DC system, and the large-scale power flow caused by the latch-up fault, resulting in long-distance transmission channel station voltage stability problems and transient power angle stability problems.
3.1. Power System Structure Index
3.2. Fault State Index
3.3. Economic Losses Index
3.4. Comprehensive Risk Assessment
4. Case Study
4.1. Case Introduction
4.2. The Initial Failure Set and the Results of Chain Failure
- (1)
- The system failure probability is low considering the protection malfunction, but the system interlocking fault is more serious, resulting in more serious load loss (more than 741,150 kW at P1 and 62,900 kW at P2). This shows that the protection hidden faults cause great harm to the system, which needs to be guarded against.
- (2)
- In P2, even in case 1, the source S12 can not complete the power supply in the remaining area because of the large-scale sources and line failure, which leads to large-scale line overload and large-scale transfer of power flow, so that the power system lost the heavy load, The entire southern region falls into a state of collapse; In P1, although the cascading fault spread to the northern region (B18 → B15 → B14 (B16)), which results in a partial loss. However, the tie line of B16–B25 is not affected, which ensures network operation and supports the southern power grid. The tie-line and S12 together provide power to the remaining grid and reduce losses.
- (3)
- From the development of chain failure, the stability of P1 is superior to that of P2. Quantitative evaluation results are shown in the following section.
4.3. Risk Assessment Results
- (1)
- From the structural risk value point of view: as there are more UHV lines in P1, resulting in an ALL value higher than P2. The MISCR of the two schemes are both more than 3.0, which belong to the strong short-circuit ratio level, but the value of P1 is higher than the value of P2, which indicates that the B15–B33 DC access scheme is better.
- (2)
- From the fault indicators and power loss point of view, P1 is obviously superior to P2, which indicates that, in this kind of accident state, due to the strong inter-regional AC/DC link, the large-scale power flow transfer caused by the power gap can be reasonably shared, so that the southern power grid gets strong support. Compared with P2, in the event of the same serious failure, P1 can lose less load.
5. Conclusions
Acknowledgments
Author Contributions
Conflicts of Interest
References
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| Classification | Indicators |
|---|---|
| System Structure | Average length of line (ALL) |
| Network average medians (NAM) | |
| Network average degrees (NAD) | |
| Multi-infeed short-circuit ratio (MISCR) | |
| Fault State | Low voltage severity (LVS) |
| Power angle difference severity (PADS) | |
| System frequency severity (SFS) | |
| Economic Losses | Power loss (PL) |
| Case 1 | Case 2 | ||
|---|---|---|---|
| Probability of Failure | P1 | 0.3914 | 0.0979 |
| P2 | 0.3909 | 0.0978 | |
| Chain Failure Process | P1 | B18 → B15 → B14 (B16), B18 → B22 (B23), B15 → B31 → B32 | B19 → B20, B18 → B15 → B14 (B16), B18 → B22 (B23), B15 → B31 → B32, B24 → B25 → B26 → B28 (B27, B29) |
| P2 | B18 → B22 (B23), B25 → B26 → B28 (B27, B29), B24 → B27, B24 → B25 → B30, B18 → B31 → B32 | B19 → B20, B18 → B22 (B23), B25 → B26 → B28 (B27, B29), B24 → B27, B24 → B25 → B30, B18 → B31 → B32 | |
| Loss of Load (MW) | P1 | 783.76 | 1524.91 |
| P2 | 1683.20 | 1746.18 |
| Index | P1 | P2 |
|---|---|---|
| ALL (km) | 742.14 | 730.28 |
| NAD | 2.54 | 2.41 |
| NAM | 1.33 | 1.30 |
| MISCR | 5.05 | 4.78 |
| structural comprehensive risk | 0.307 | 0.343 |
| LVS | 1.57 | 1.98 |
| PADS | 29.20 | 34.51 |
| SFS | 1.80 | 2.02 |
| failure comprehensive risk | 0.694 | 0.866 |
| PL (ten thousand yuan) | 914.96 | 1047.08 |
| economic loss risk | 89.30 | 102.40 |
| Index | P1 | P2 |
|---|---|---|
| ALL (km) | 749.25 | 732.77 |
| NAD | 2.58 | 2.53 |
| NAM | 1.48 | 1.48 |
| MISCR | 6.25 | 6.01 |
| LVS | 1.36 | 1.58 |
| PADS | 10.96 | 15.91 |
| SFS | 0.51 | 0.52 |
| PL (ten thousand yuan) | 1862.15 | 2635.58 |
© 2016 by the authors; licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC-BY) license (http://creativecommons.org/licenses/by/4.0/).
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Long, R.; Zhang, J. Risk Assessment Method of UHV AC/DC Power System under Serious Disasters. Energies 2017, 10, 13. https://doi.org/10.3390/en10010013
Long R, Zhang J. Risk Assessment Method of UHV AC/DC Power System under Serious Disasters. Energies. 2017; 10(1):13. https://doi.org/10.3390/en10010013
Chicago/Turabian StyleLong, Rishang, and Jianhua Zhang. 2017. "Risk Assessment Method of UHV AC/DC Power System under Serious Disasters" Energies 10, no. 1: 13. https://doi.org/10.3390/en10010013
APA StyleLong, R., & Zhang, J. (2017). Risk Assessment Method of UHV AC/DC Power System under Serious Disasters. Energies, 10(1), 13. https://doi.org/10.3390/en10010013
