3.3.1. Analysis of Overall Annual Changes and Spatial Distribution Characteristics
Based on current methods and revised models, the power carbon emission factors of 30 provincial-level power grids in China from 2009 to 2022 have been calculated. The results of the two methods were compared, as shown in
Figure 8 and
Figure 9.
For the same research object, the carbon-emission factor calculated by the modified model was generally higher than the current method, and the differences were mainly concentrated in provinces and cities with a high proportion of thermal power and large external high carbon-power input. Specifically, as shown in
Figure 9, Beijing, Shandong, Jilin, Hebei, Xinjiang, Heilongjiang, Anhui and other provinces and cities had the largest correction amplitude, with an average increase of over 0.12 kgCO
2/kWh. These regions were mainly dominated by thermal power or have frequent inter-provincial power exchanges. The current methods systematically underestimated the flow of electricity and upstream fuel emissions. Relatively speaking, provinces and cities with a high proportion of new-energy electricity, such as Yunnan, Guangdong, Guangxi, Sichuan, Qinghai, etc., had smaller correction amplitudes, with an average correction amplitude of less than 0.06 kgCO
2/kWh. Overall, the current methods generally underestimated the actual level of electricity carbon emissions, while the revised methods more comprehensively reflected the true level of electricity carbon emissions in different regions by introducing important factors such as upstream fuel emissions, electricity flow, transmission losses, and non-CO
2 greenhouse gas emissions.
In 2022, the provincial power carbon-emission factors presented a spatial pattern of “high in the north and low in the south, low in the west and high in the east”. There were 10 provinces and cities in China with correction values higher than 0.7 kgCO2/kWh, mainly distributed in the northwest and north China regions. Among them, Hebei Province had the highest factor-correction value in the country, reaching 0.7918 kgCO2/kWh, and its power structure was mainly based on coal-fired power. Relatively speaking, there were seven provinces and cities with correction values below 0.5 kgCO2/kWh, mainly concentrated in the southwest and southern regions, especially in provinces such as Sichuan and Yunnan. Thanks to the advantages of clean energy such as hydropower, their electricity carbon emission factors were relatively low.
From 2009 to 2022, with the optimization of the power grid structure and the increase in the proportion of new-energy installed capacity, the overall correction value of provincial power carbon-emission factors showed a continuous downward trend. The average correction value of each province (city) in China had gradually decreased from 0.8166 kgCO2/kWh in 2009 to 0.5976 kgCO2/kWh in 2022, a decrease of 26.83%. Among them, the provincial power carbon emission factors in Yunnan and Sichuan have decreased by as much as 72.89% and 58.01%, respectively, mainly due to the operation of multiple large hydropower stations such as Xiluodu and Xiangjiaba, which had significantly increased the proportion of hydropower. The proportion of hydropower in the power generation structure of the two provinces has exceeded 80%, an increase of 20 percentage points compared to 2009. This trend indicated that the low-carbon transformation of the power system and the substitution effect of new energy played a decisive role in the reduction of carbon-emission factors, and timely updating factor parameters was of great significance for carbon accounting and policy evaluation.
In 2022, there were significant inter-provincial differences in the carbon-emission factors of provincial electricity. The difference between Hebei (0.7958 kgCO2/kWh) and Yunnan (0.1424 kgCO2/kWh) was as high as 5.59 times, with a range of 0.6534 kgCO2/kWh, reflecting the huge difference in power structure between coal-fired-power-dependent provinces and new-energy-dominated provinces. Provinces dominated by coal-fired power, such as Shanxi (0.7919 kgCO2/kWh) and Inner Mongolia (0.7577 kgCO2/kWh), had high carbon-emission intensity from coal-fired power and high carbon-emission factors from electricity; provinces in Central, East, and Northeast China, such as Jiangxi (0.6349 kgCO2/kWh), Jiangsu (0.6885 kgCO2/kWh), Heilongjiang (0.6570 kgCO2/kWh), etc., although they had a certain foundation in hydropower and new energy, the proportion of thermal power still exceeded 70%, especially during the winter heating period, leading to a further increase in carbon-emission intensity. Provinces such as Sichuan (0.1845 kgCO2/kWh), Yunnan (0.1424 kgCO2/kWh), and Qinghai (0.2264 kgCO2/kWh) rely on abundant clean energy resources, mainly using hydropower, wind power, and photovoltaic power generation, while also sending large-scale electricity to the outside world, forming a typical low-carbon-intensity power grid in China. Inter-provincial differences not only reflected significant differences in power structure and scheduling modes among regions, but also validated the effectiveness of the revised model in accurately collecting carbon-emission responsibilities and enhancing the scientific nature of carbon accounting.
3.3.2. Analysis of the Composition Characteristics of Power Carbon-Emission Factors with Boundary Expansion
The lifecycle carbon emissions had a significant impact on the calculation of carbon emissions in provincial power grids. Based on 2022 data,
Figure 10 shows the contribution distribution of each lifecycle stage to provincial power grid carbon emissions. The results indicated that the fuel extraction and processing stage was the main indirect emission source, excluding the combustion process, with an average contribution rate of 6.05%. This stage had an undeniable impact on the overall carbon footprint; at the same time, the impact of the full lifecycle carbon emissions of new-energy power plants on different provinces varied significantly. In provinces with leading development in new energy, such as Qinghai, Yunnan, Sichuan, etc., the impact of carbon emissions throughout the lifecycle of new-energy power plants exceeded 8%. However, in East China and North China, where the power generation of new-energy power plants accounted for less than 5%, such as Tianjin, Shanghai, Beijing, etc., their contribution to carbon emissions throughout the llifecycle was usually less than 0.5%. This indicated that while new energy significantly reduces emissions during operation, the carbon footprint of its upstream manufacturing process still needed to be included in a comprehensive assessment to avoid systematic underestimation. In addition, although non-CO
2 greenhouse gas emissions accounted for a limited proportion of the total amount, they still had a potential impact on the carbon-emission intensity of the power grid. In 2022, the average contribution rate of N
2O emissions in provincial power grids ranged from 0.3% to 0.45%. Although the emissions were low, the greenhouse effect of N
2O could not be ignored due to its global warming potential (GWP) being about 298 times that of CO
2. The detailed data on the contribution ratio of each stage was shown in
Table 5.
In summary, expanding the boundary of the power carbon emission factor allows for a more comprehensive representation of the full-chain carbon characteristics of the power system. As demonstrated in
Appendix A (
Table A1 and
Figure A1), the analysis of different renewable energy carbon footprints further validates the rationality of this boundary expansion. This approach not only addresses the underestimation issue inherent in traditional methods that overlook indirect emissions, but also provides a more scientifically grounded parameter basis for assessing low-carbon pathways in the power system. The line loss in the process of power transmission did not directly generate carbon emissions, but it had a significant impact on the changes in power carbon-emission factors.
Figure 11 shows the distribution of the impact of provincial power grid line losses on power carbon-emission factors in 2022. The results showed that the line loss in provinces such as Xinjiang and Gansu had a significant impact on the carbon-emission factor of electricity, exceeding 0.06 kgCO
2/Wh. The main reason was that line losses caused energy loss during power transmission, and the system needed to compensate for it through additional power generation. When the power grid was dominated by thermal power and the carbon intensity per unit of power generation was high, compensatory power generation would further amplify the overall emission level, thereby pushing up the carbon-emission factor of electricity. On the contrary, in provinces with a high proportion of clean energy (such as Qinghai, Yunnan, Sichuan, etc.), despite some transmission losses, the overall carbon-emission factor of electricity remained at a relatively low level due to the dominance of low-carbon power sources such as hydropower, wind power, and photovoltaics. In addition, the amount of inter-provincial electricity exchange was also another key factor affecting the carbon-emission factors of electricity in the transmission process. In areas with high power input, where the input power came from high-carbon-emission regions (such as the northern power grid dominated by coal-fired power), the line loss effect would further amplify the increase in power carbon-emission factors, forming a cumulative effect of “high carbon-power input high line-loss high factor”.
Overall, the impact of power transmission on carbon emission factors was the result of multiple factors such as transmission losses, energy structure, and power flow patterns. To effectively reduce the carbon emission factor of electricity, the power transmission path and structure should be optimized at the system level, and low-carbon operation of the power system should be achieved through measures such as improving transmission efficiency, reducing line losses, optimizing cross-regional power dispatch structures, and increasing the proportion of new-energy generation.
3.3.3. Analysis of the Impact of Power Exchange
In this study, we obtained the spectral radius by solving the eigenvalues of the transition matrix A, thus verifying the convergence condition of the iterative algorithm. Based on the 2022 power-exchange data, the spectral radius of the transition matrix A is 0.0806, which is less than 1, proving that the algorithm can effectively converge.
Figure 12 shows the iterative convergence process of the power carbon emission factor, with the x-axis representing the number of iterations and the y-axis representing the change in the electricity carbon-emission factors. By observing these variation trajectories, we can see that the electricity carbon-emission factors of most provinces stabilize within four to five iterations, while a few provinces, such as Fujian, converge faster, stabilizing within two iterations.
Table 6 lists the variation magnitude of the electricity carbon-emission factors and the number of iterations required to reach convergence for different provinces. The table shows the extent of change in the electricity carbon-emission factor from the initial value to the steady state, along with the number of iterations required to achieve stability.
From the graph, it can be seen that after the first iteration, the input and output carbon emissions of each provincial power grid have been included in the factor calculation, and the power carbon-emission factors of most provinces have increased. Specifically, the changes were most significant in Qinghai, Beijing, and Sichuan, with increases of 56.08%, 26.86%, and 22.8%, respectively, mainly due to the impact of high carbon electricity input from Gansu, Shanxi, Shaanxi, and other regions. In contrast, Guangdong had reduced its electricity carbon-emission factor by 10.52% after the first iteration due to a large amount of low-carbon electricity input from Yunnan. The changes in the remaining 20 provinces did not exceed ±10%, indicating that the power input in these provinces had relatively little variation during the iteration process.
After all provinces and cities completed the iteration, the factor error rate was within the range of 0–0.05%, indicating that the iterative algorithm had high numerical stability and calculation accuracy, and could effectively support the dynamic tracking and balance calculation of inter provincial power carbon emission factors.
The inter-provincial power-exchange network structure had a significant impact on the measurement accuracy of carbon-emission factors in electricity.
Figure 13 compares the provincial electricity carbon-emission factor results obtained using the “net electricity exchange method” and the “electricity exchange network method”. Overall, about 83% of provinces had seen an increase in the revised electricity carbon-emission factor after considering electricity exchange compared to when electricity exchange was not taken into account. The net exchange method only calculated the net difference between the input and output of electricity, ignoring the dynamic changes in carbon-emission factors during inter-provincial transmission processes, and could not accurately reflect the true emission characteristics of inter-provincial electricity flow. The power exchange network method considered power flow as a time-varying multi-node topology system, and by introducing bidirectional transmission and carbon source tracing mechanisms, it could comprehensively capture the carbon-emission information carried by cross-regional power flow. For example, in the electricity exchange between Qinghai Province and Gansu Province, the initial carbon-emission factor for electricity in Qinghai Province was 0.1409 kgCO
2/kWh, while in Gansu Province it is 0.5193 kgCO
2/kWh, with a difference of nearly 3.7 times between the two provinces. In the net exchange calculation, the 4.21 million tons of CO
2 transported from Gansu to Qinghai were not included, resulting in a significant increase in the revised electricity carbon-emission factor in Qinghai Province. On the other hand, due to receiving a large amount of low-carbon electricity input, Shanxi Province’s electricity carbon-emission factor had decreased by 12.04% in the network method, reflecting the dilution effect of low-carbon input on local carbon intensity.
Overall, the power exchange network method could more accurately characterize the carbon emission transmission and attribution relationship in cross-regional power flow, compensating for the structural bias of the net exchange method. With the construction of a unified national electricity market and the improvement of inter-provincial power grid interconnection, the carbon-emission calculation method considering the power-exchange network would play a more important role in the future carbon-emission assessment of the power system, providing a more scientific and accurate basis for regional carbon accounting and energy dispatch policies.
3.3.4. Analysis of the Composition and Structure of the Power Grid
The carbon-emission factors of provincial power grids are closely related to their energy structure.
Figure 14 showed the corresponding relationship between the power composition and power carbon-emission factors of each provincial power grid in 2022. The results indicated that the proportion of thermal power generation was highly consistent with the trend of changes in the carbon-emission factor of electricity; the higher the proportion of thermal power generation, the greater the carbon emission factor of electricity. Taking provinces such as Shaanxi, Shanxi, and Shandong, which rely mainly on coal-fired power, as examples, their carbon-emission factors were significantly higher than the national average, reflecting the decisive impact of thermal power’s dominant position in the power structure on overall carbon intensity. On the other hand, regions with a high proportion of clean energy such as hydropower, wind power, and solar power exhibited obvious low-carbon characteristics. Yunnan, Qinghai and other provinces, with their abundant hydropower and photovoltaic resources, had significantly lower electricity carbon-emission factors than the national average, demonstrating the significant role of renewable energy in reducing the carbon intensity of the power grid. In addition, inter-provincial power exchange played an important role in regional carbon-emission regulation. The large-scale input of low-carbon electricity could effectively dilute the proportion of local high-carbon power sources, thereby suppressing the rise of carbon-emission factors in electricity. For example, the eastern provinces that receive clean electricity input from the southwest region had significantly reduced carbon-emission factors compared to the situation without input, reflecting the regulatory function of electricity flow in optimizing the national energy structure.
Overall, the carbon-emission factors of provincial power grids were influenced by both energy structure and power-flow characteristics. In the future, by continuously optimizing the power structure, increasing the proportion of renewable energy, and achieving efficient allocation of clean energy through cross-provincial transmission, the carbon-emission factor of electricity could be effectively reduced at the system level, providing important support for the green and low-carbon transformation of the national power system.