Abstract
Green hydrogen represents an important energy carrier for global decarbonization towards renewable-dominant energy systems. As a result, an escalating interdependency emerges between multi-energy vectors. Specifically, the coupling among power, natural gas, and hydrogen systems is strengthened as the injections of green hydrogen into natural gas pipelines. At the same time, the interaction between hydrogen and transportation systems would become indispensable with soaring penetrations of hydrogen fuel cell vehicles. This paper provides a comprehensive review for the modeling and coordination of hydrogen-integrated energy systems. In particular, we analyze the role of green hydrogen in decarbonizing power, natural gas, and transportation systems. Finally, pressing research needs are summarized.
CURRENT energy systems are heavily reliant on fossil fuels, and hence represent a major contributor to global carbon emissions [
However, the high penetrations of RESs pose significant operational challenges to power/energy systems. One major challenge is caused by intermittent and stochastic RES generation, which requires high operating flexibility at different time scales [
The emergence of hydrogen energy in recent years provides an alternative solution to the decarbonization of multi-energy sectors, particularly as the hydrogen is produced by RESs (i.e., green hydrogen) via power to hydrogen (P2H) technologies [
The role of green hydrogen in decarbonizing future energy systems has been recognized by many countries/regions. For example, Europe Union (EU) has launched an ambitious hydrogen strategy, in which the priority is given to develop green hydrogen that functions as an energy carrier to achieve carbon-neutral economy [
As the green hydrogen acts an energy carrier towards the transition to a green energy future, the interdependency between multi-energy systems (including hydrogen, power, natural gas, and transportation networks) would be greatly strengthened [
1) Accommodation of high penetrations of RESs: the surplus RES generation (that otherwise would be curtailed) could be converted into hydrogen that functions as a green secondary energy source. Moreover, the coordination of multi-energy systems could provide the operating flexibility required to balance short-term fluctuation of RES generation [
2) Low-cost production and long-distance transmission of hydrogen: a high market share of RESs generally leads to relatively low power prices, which would decrease the production cost of green hydrogen. Besides, the existing expansive natural gas infrastructure could be used to transport hydrogen [
3) Decarbonization of energy consumption in industrial, commercial, and residential sectors: in the industrial sector, green hydrogen can replace carbon-intensive materials in steel manufacturing, chemical production, and refining processes. In the commercial and residential sectors, green hydrogen presents an opportunity to revolutionize building heating and cooling. Additionally, green hydrogen can be used as fuel for vehicles or as a component of synthetic fuels in the transportation section [
4) Provision of long-term energy storage: hydrogen has been considered as a promising long-term energy storage, which is much more cost-effective than battery storage systems. The long-term energy storage would be necessary for a renewable-dominant power system as the weather-dependent renewable power generation would lead to net demand fluctuation across different days, weeks, or even seasons [
The present work, therefore, provides a comprehensive review on the role of green hydrogen in decarbonizing energy sectors. In particular, we focus on two application scenarios of green hydrogen. The first one consists of integrated power-natural gas-hydrogen systems, which corresponds to the production and transportation of green hydrogen. The second one consists of integrated power-transportation-hydrogen systems, which corresponds to the consumption of green hydrogen.
The rest of this paper is organized as follows. Section II reviews the modeling and coordination of integrated power-natural gas-hydrogen systems. Section III reviews the modeling and coordination of integrated power-transportation-hydrogen systems. Both Sections II and III include a small example. Section IV presents future research directions. Section V concludes this paper.
This section analyzes the role of green hydrogen in decarbonizing power and natural gas systems with high penetrations of RESs.

Fig. 1 Structure of an integrated power-natural gas-hydrogen system.
This subsection provides a review of modeling of hydrogen electrolyzers (i.e., P2H) and the natural gas system with hydrogen injections.
Reference [
Regarding the modeling of the natural gas system with hydrogen injections, it is noted that the gas-hydrogen blending results in gas composition variation at each node, which complicates the natural gas system modeling. Specifically, for traditional natural gas systems, the natural gas supply-demand balance is described by volumetric flows of the natural gas. However, for the natural gas system with hydrogen injections, two additional types of variables (i.e., gas energy flows and gross calorific values) are required [
We note that the hydrogen blending complicates the modeling of natural gas networks by introducing higher nonlinearity. Therefore, developing a sufficiently accurate linearized or convexified natural gas flow model with hydrogen blending is highly desirable. Interested readers can refer to [
The extant literature includes the studies on the investment in P2H units and coordinated expansion planning of integrated power-natural gas-hydrogen systems.
Reference [
Reference [
We note that these studies provide quantitative results on the value of green hydrogen for energy transition at the planning stage. An open challenge in this area is that the green hydrogen blending limit has direct impact on planning results of hydrogen infrastructures. Specifically, a strict hydrogen blending limit could restrict the market share of green hydrogen. Conversely, a weak hydrogen blending limit could pose operational challenges to natural gas systems. The design of green hydrogen blending limit would be critical from the perspective of both planning and operation stages. Another interesting area is to develop a multi-stage transition pathway model for energy systems with retirement of coal-/gas-fired power generators and newly-built renewable power generator at each stage. At the same time, the traditional natural gas infrastructures would be gradually replaced by green hydrogen infrastructures to achieve the carbon-emission target at each stage.
The coordination of coupled power, natural gas, and hydrogen systems is important due to the growing interdependence between multi-energy sectors. From the perspective of the power system operator, a sufficient coordination provides incremental operating flexibility that is required for power system operations. From the perspective of the natural gas system operator, this coordination could alleviate the impact of green hydrogen injections on natural gas system operations and hence contribute to the long-distance transportation of hydrogen energy.
Reference [
An open challenge on this area lies in the fact that the multi-energy sectors are actually operated by different entities, which may hinder the information sharing of the coordination framework. Moreover, under a market environment, the strategic behaviors of different market agents (e.g., the owner of P2H facilities that participate in different energy markets) may complicate the clearing of coupled energy markets and the resulting market equilibria. Readers can refer to [
Typical hydrogen blending demonstration projects worldwide are summarized as follows.
1) EU NaturalHy project [
2) UK HyDeploy project [
3) The New York Power Authority (NYPA) green hydrogen project [
4) PetroChina hydrogen project [
We use a simple example shown in

Fig. 2 Topology of a four-node natural gas system with green hydrogen injection.
The single-period operating problem of the four-node natural gas system is provided as:
(1) |
s.t.
(2) |
(3) |
(4) |
(5) |
(6) |
(7) |
(8) |
(9) |
(10) |
(11) |
(12) |
(13) |
(14) |
where and denote the natural gas productions of S1 and S2, respectively; , , and denote the energy flow rates of pipelines 1-2, 2-3, and 3-4, respectively; , , and denote the volumetric flow rates of pipelines 1-2, 2-3, and 3-4, respectively; , , and denote the gross calorific values at nodes 1, 2, and 3, respectively; , , , and denote the pressures of nodes 1, 2, 3, and 4, respectively; is the available power generation from RESs; and and denote the gross calorific values of natural gas and hydrogen, respectively, and their values are 10636 MWh/Mm (i.e., 38.29 MJ/m) and 3542 MWh/Mm (i.e., 12.75 MJ/m) [
The objective function (1) is the total cost of gas supply. Constraints (2)-(5) pertain to energy flow balance at nodes 1-4, respectively. Constraint (6) represents the capacity of S1 and S2. Constraint (7) limits the amount of power injected into the P2H unit at node 3. Constraint (8) calculates the energy flow rate through each pipeline by multiplying the volumetric flow rate and the gross calorific value of this pipeline. Constraint (9) specifies the gross calorific value at nodes 1 and 2 as there is no hydrogen blending at both nodes. Constraint (10) corresponds to the gas flow balance at node 3 with hydrogen injections. Constraints (11)-(13) relate the volumetric flow rates with nodal pressures for pipelines 1-2, 2-3, and 3-4, respectively. Constraint (14) limits the operating pressure of each node. It should be clarified that the hydrogen blending limit and the lower bound of nodal pressures are omitted here to analyze the impact of hydrogen injections on gas system operations.
We consider three comparative cases (Cases I-III), in which the available power generation from RESs (i.e., the value of ) is set to be 2, 3, and 4 MW, respectively. Case II represents a reference case, while Cases I and III correspond to the scenario of intermittent RES generation.
Case | Hydrogen blending of node 3 (%) | Gross calorific value of node 3 () | Pressure of node 3 (bar) | Pressure of node 4 (bar) | Gas flow rate through pipeline 3-4 () |
---|---|---|---|---|---|
Case I | 5.8 | 10226 | 31.8 | 29.4 | 0.0039 |
Case II | 8.5 | 10033 | 32.6 | 30.1 | 0.0040 |
Case III | 11.1 | 9847 | 33.4 | 30.9 | 0.0041 |
The comparison of the operating results obtained in Cases I and III with those obtained from Case II indicates that:
1) A relatively high penetration level of green hydrogen might result in insecure gas-hydrogen blending, e.g., the hydrogen blending at node 3 of Case III is up to 11.1%, which exceeds the allowed limit of 10%.
2) A relatively low penetration level of green hydrogen might result in insecure nodal pressures, e.g., the pressure at node 4 of Case I (27.7 bar) is lower than its lower operating bound (30 bar).
These results quantitatively show how the stochastic hydrogen injection affect the secure operation of the gas system. This calls for accurate simulation of gas-hydrogen systems and sufficient coordination of gas and power in short-term operations.
This section analyzes the coordination of integrated power-transportation-hydrogen systems. The coupling of the three systems includes EV charging stations and hydrogen refueling stations, as shown in

Fig. 3 Structure of an integrated power-transporation-hydrogen system.
1) The spatial-temporal traffic flows are impacted by the charging demands of EVs or refueling demands of hydrogen fuel cell vehicles (HFCVs).
2) The delivery of hydrogen between hydrogen refueling stations using tube trailers is impacted by traffic flows.
Note that both EVs and HFCVs contribute to the decarbonization of transportation networks. At present, the market share of HFCVs is much lower than that of EVs due to the high hydrogen cost. However, the growth of hydrogen supply chain in the near future might increase the market competitiveness of HFCVs.
The following two subsections summarize the planning and operation of integrated power-transportation-hydrogen systems. Then, a simplified example is used to illustrate the flexibility provided by the transportation network to accommodate the fluctuation of RES generation.
The current literature examines a few approaches to build new hydrogen supply chains that coordinate with the expansion planning strategies of power distribution networks.
Reference [
An open challenge on this research topic is that the investment decisions of transportation infrastructures need to take spatial-temporal traffic flows into account to produce realistic planning results. This, however, might result in significant computational challenge. Additionally, the entity that operates charging or refueling stations need to consider the approaches to satisfying demands from EVs or HFCVs (e.g., from energy storage or demand response) in case of energy supply shortage due to RES generation fluctuation.
The extant literature examines a few approaches to coordinate the operation of power, transportation, and hydrogen systems, including the coordination between green hydrogen production and transportation, the coordination between charging/refueling stations (powered by RESs) with charging/refueling demands from EVs and HFCVs, and the coordination of multi-energy resources to provide flexibility operating service for the power grid.
Reference [
We note that these related studies generally assume that all EVs/HFCVs have identical routing and charging/refueling preferences, which might not be realistic in practice. Besides, one or more agents are generally required to exploit the flexibility of decentralized EVs/HFCVs. Hence, analyzing the market equilibria that model the interactions among power/hydrogen suppliers, market agents, and EVs/HFCVs is of practical relevance.
The typical demonstration projects of hydrogen-integrated transportation are summarized as follows.
1) EU H2Haul project [
2) The Hydrogen Energy Supply Chain (HESC) liquefied hydrogen carrier project [
3) The Alberta Motor Transport Association (AMTA) hydrogen commercial vehicle demonstration program [
4) Hydrogen-powered buses in Beijing Winter Olympics [
We illustrate the flexibility of traffic network scheduling using a straightforward example, as shown in

Fig. 4 Hybrid model of 3-node traffic network.
The traffic network consists of three nodes T1-T3 and four links L1-L4. The charging stations CS1 and CS2 are located on links L1 and L2, respectively, while the hydrogen refueling stations HRS1 and HRS2 are situated on links L3 and L4, respectively. The capacity of each charging station is 400 vehicles, while the capacity of each hydrogen refueling station is 100 vehicles. The traffic demand is 400 vehicles, with an average charging demand E of 10 kW and an average hydrogen demand H of 1 kg.
The static traffic network model is illustrated as follows.
(15) |
s.t.
(16) |
(17) |
(18) |
(19) |
(20) |
(21) |
(22) |
(23) |
(24) |
(25) |
(26) |
(27) |
(28) |
(29) |
(30) |
(31) |
(32) |
where , , , and are the charging/refueling demands at the corresponding stations; is the total travel demand; and are the minimum travel costs of EVs and HFCVs, respectively; and are the penetration rates of EVs and HFCVs, respectively; and are the traffic flows of EVs and HFCVs that choose on path k, respectively; and are the path sets of EVs and HFCVs, respectively; is the traffic flow on regular links; is the traffic flow of EVs on charging links; is the traffic flow of HFCVs on hydrogen refueling links; and are the coupling relationships between link a and path k of EVs and HFCVs, respectively; , , and are the sets of regular links, charging links, and refueling links, respectively; is the free travel time on regular links; , , and are the travel duration at each regular link, queuing time spent at each charging link, and queuing time at each refueling link, respectively; , , and are the capacities of regular link, charging link, and refueling link, respectively; and are the free flow travel time of EVs and HFCVs at the charging and hydrogen refueling links, respectively; and are the total travel costs of EVs and HFCVs, respectively; J is typically set to be 0.05; , , and are the unit time cost of travellers, reference electricity price of CSs, and reference hydrogen price of HRSs, respectively; , , and are the congestion toll (CT) for links, charging service fee (CSF) for CSs, and HRSF for HRSs, respectively; and are the charging demands at CS1 and CS2, respectively; and are the refueling demands at HRS1 and HRS2, respectively; and is the efficiency of the P2H conversion.
The objective function (15) represents the overall expenditure of the traffic network. Constraints (16) and (17) depict the correlations between travel demands and path flows. Constraints (18)-(20) elucidate the connections between link flows and path flows. Constraint (21) conveys the relationship between link travel time and link traffic flow. Constraints (22) and (23) specify the corresponding waiting time of EVs and HFCVs at CSs and HRSs, respectively. Constraints (24) and (25) outline the travel costs for EVs and HFCVs, respectively. Constraints (26) and (27) articulate expressions of Wardrop’s first principle, which affirms that a traffic network attains an equilibrium state when all travelers on their roads possess complete knowledge of the traffic conditions and strive to choose the shortest path. Constraints (28)-(32) establish the interplay between power generation and traffic flow.
Similarly, we consider three comparative cases, namely Cases 1-3, where the available power generation from RESs (i.e., the value of ) is set to be 1, 2, and 4 MW, respectively. Case 2 represents the reference scenario, while Case 1 and Case 3 correspond to scenarios involving intermittent RES generation. Tables
Case | Operating result (number of vehicles) | |||
---|---|---|---|---|
CS1 | CS2 | HRS1 | HRS2 | |
Case 1 | 100 | 220 | 11 | 69 |
Case 2 | 200 | 120 | 22 | 58 |
Case 3 | 294 | 26 | 45 | 35 |
Case | Service fee ($/h) | |||
---|---|---|---|---|
CSF1 | CSF2 | HRSF1 | HRSF2 | |
Case 1 | 2.88 | 0 | 1.56 | 0 |
Case 2 | 0 | 1.74 | 0.78 | 0 |
Case 3 | 0 | 9.12 | 0 | 0.18 |
The comparison of the distribution results of Cases 1-3 reveals that:
1) With the increased output of RESs, more EVs and HFCVs are dispatched to stations powered by renewable distributed generator (i.e., CS1 and HRS1) to accommodate clean energy. This demonstrates the flexible response characteristics exhibited by EVs and HFCVs.
2) In Case 1, when RES is scarce, service fees are imposed at CS1 and HRS1 to guide vehicles towards stations powered by conventional distributed generator. Conversely, in Case 3, when RES becomes more abundant, the situation is reversed. This demonstrates the capacity of service fees to regulate the flow of vehicles.
These findings demonstrate the flexible response potential of EVs and HFCVs, which necessitates accurate simulation of integrated power-transportation-hydrogen systems to guide travelers in accommodating RESs and achieving cost reduction in system operations.
This paper provides an overview of the integration of green hydrogen into natural gas and transportation systems. Pressing research topics are summarized as follows.
The environmental value of green hydrogen in comparison with gray/blue hydrogen has not been taken into account in current hydrogen trading markets. Hence, the green certificate mechanism [
Another major issue lies in the mitigation of market power exercised by market agents [
Moreover, the spatial-temporal flexibility of transportation networks emerges as a critical factor in the promotion of green hydrogen. Optimizing the distribution of hydrogen for the transportation sector relies heavily on strategically placing hydrogen refueling stations. This aspect demands a meticulous examination to understand how geographical placement impacts the overall spatial-temporal dynamics of hydrogen supply. Additionally, a thorough exploration of monetary incentives within the transportation sector is crucial. Beyond the broader market design, understanding how financial mechanisms and subsidies can be tailored to specifically encourage the investment of green hydrogen in transportation sectors would be important.
The increasing multi-energy interdependency might result in significant operational risks, e.g., the natural gas leak that caused rolling blackout in Southern California in 2016 [
Given the operational risks faced by multi-energy operators, corresponding preventive control strategies need to be implemented to eliminate potential risks [
The planning/operation problem of multi-energy systems generally needs to consider a massive number of scenarios due to the uncertainty in RES generation, which is computationally challenging for model-based approaches. This technical issue may be addressed by deep learning techniques [
Another potential application of AI algorithms lies in facilitating the decentralized operation of multi-energy systems that preserves information privacy. For example, [
As the cost associated with green hydrogen investment, production, and transportation is relatively high, the widespread application of green hydrogen remains uncertain. However, green hydrogen can be considered as a promising pathway for future energy transition. This paper reviews current research on power-natural gas-hydrogen coordination and power-transportation-hydrogen coordination. The extant literature has shown that the green hydrogen contributes to the accommodation of intermittent RESs in multi-energy systems as its integration provides additional operating flexibility. We summarize future research directions of hydrogen-integrated energy systems from the perspective of market design, security operation, and AI algorithm application. Finally, we believe that the economic and environmental benefit from the green hydrogen integration identified and the pressing research topics summarized provide a foundational reference for academic investigations and engineering application of green hydrogen.
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