# Multiwing UAV Communication and Energy Consumption Optimization Based on Energy Optimization

Authors: RiXin Xue; Peng Tang; Shudong Fang
Journal: Wireless Communications and Mobile Computing
 (2022)

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## Abstract

The UAV carries communication equipment to lift off as an aerial base station, which has the characteristics of flexibility, rapid deployment, etc. Reducing the energy consumption of UAVs is a key issue that needs to be urgently addressed in the current UAV field to build green UAVs. The transmission service rate adaptivity of UAV devices provides an effective way to optimize UAV energy consumption and improve UAV energy efficiency, and a global and distributed UAV energy optimization routing strategy based on routing algorithm is proposed in this paper. The strategy starts from the perspective of UAV global routing and abstracts the UAV components that provide transmission services for data into a processing domain according to the service characteristics of UAVs. In the simulation experiments, the distributed heuristic algorithm for energy-optimized routing proposed in the paper is compared with the OSPF and GreenOSPF energy-efficient routing algorithms in the related literature, and the comparison results of the algorithms in terms of energy consumption and delay are presented.


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## Body

## 1. Introduction

Natural disasters are usually difficult to predict and unavoidable, but people can minimize the damage through effective means. After a natural disaster, on the one hand, the communication demand of people in the disaster area increases dramatically, causing the existing communication system to be overloaded; on the other hand, the natural disaster may lead to shortage of energy supply and collapse of communication base stations, thus making the communication system completely destroyed and unable to provide communication services in the disaster area. Keeping communication open is a prerequisite task for disaster relief work, but repairing or rebuilding local communication infrastructure is time-consuming and not easy to operate. Therefore, temporary formation of an emergency communication system is the best option [1]. Usually, emergency communication systems must meet the requirements of rapid deployment, easy operation, low cost, high capacity, and wide coverage.UAV technology experienced three waves of development at the end of the 20th century and really entered the first “golden age”: after 1990, more than 30 countries around the world were equipped with divisional (large) tactical UAS, with representative models such as the U.S. “Hunter” “Pioneer” and Israel “Scout” “Pioneer”; after 1993, the rapid development of medium and high altitude long-endurance military drones, to the United States, at the end of the 20th century, brigade-level (small and medium-sized) fixed-wing and rotary-wing tactical UAS emerged, with small size, lower price, and good maneuverability, marking the era of large-scale application of UAVs [2].With the breakthrough of key technologies related to UAVs, the load capacity, flight altitude, and endurance of UAVs have been greatly improved, and the use of UAVs with communication equipment aloft to provide services to ground users has been realized. Compared with traditional ground communication UAVs, the main advantages of micro- and small UAV communication UAVs are as follows [3].
(1)
Easy deployment and flexible mobility: the communication link can be quickly established through the lift-off flight of the UAV carrying communication equipment, eliminating the need for wired communication wiring links; the ability to control the lift-off of the UAV at any time, so that the coverage and UAV capacity changes with the changes in mission territory and demand; the small size, light weight, and easy to carry of the micro UAV, and a single soldier can complete the launch and recovery of the relay UAV. People can flexibly deploy or retrieve UAV base stations, solve the tidal effect of business demand, and reduce UAV cost as well as UAV energy consumption(2)
Not limited by complex terrain: traditional wireless communication methods are easily affected by obstacles such as mountains and tall buildings due to the height of the base station, and the communication quality is seriously degraded. After the micro-UAV lifts off, it takes advantage of the aerial advantage of the UAV platform and can avoid obstacles and establish a reliable communication link(3)
Strong applicability of communication equipment and high quality of information transmission: micro- and small UAV platform can easily realize the update of communication equipment and improve the communication quality of communicationTherefore, the use of UAVs to carry communication equipment up into the air to provide communication services has become a research hotspot for communication in recent years. The UAV can be used as an airborne access point or as a relay to increase the coverage capability of the UAV as well as to enhance the link performance [4]. Global networking initiatives hope to provide ubiquitous broadband connectivity by deploying UAVs as microbase stations [5]. Similar to the placement of microbase stations in heterogeneous drones, using a drone as an airborne base station can effectively increase the coverage capability as well as the capacity of the drone [6]. To promote this plan, companies such as Google and Facebook have proposed the use of UAVs to increase UAV coverage and UAV capacity, and this has further promoted the development of UAVs at the same time. In addition, drones can be used for emergency communications, using them to rapidly deploy base stations to provide broadband data services when ground base stations are not working properly in unexpected public safety situations [7]. Unlike traditional base station construction, due to the flexibility of UAVs, one can very easily change the antenna height of UAV base stations by changing the flight altitude of UAVs. The antenna height is an important parameter that affects the coverage capability of UAVs, but less research has been conducted on the effect of UAV flight altitude on UAV performance [8].In this paper, we study the impact of the deployment density of UAV base stations and the flight altitude of UAVs on UAV coverage and UAV capacity, and the main contributions include the following: by building a system-level simulation platform for UAV communication, we analyze the UAV coverage and capacity from a system-level perspective; we comprehensively evaluate the impact of the deployment density of UAVs and the flight altitude of UAVs on UAV coverage and UAV capacity; we give an optimization scheme for UAV deployment in order to ensure the normal communication of users when natural disasters occur and the base stations are not working. The impact of UAV deployment density and UAV flight altitude on UAV coverage and UAV capacity is comprehensively evaluated; the optimization plan of UAV deployment is given to ensure normal communication of users in the case of natural disasters and inoperable base stations.


## 2. System Model

Using UAVs as base stations for ground users is like arranging microbase stations in heterogeneous UAVs: it can improve the quality and spectral efficiency of links and effectively solve the problem of coverage voids of ground base stations; it can reduce the load of ground base stations and improve the coverage quality in specific areas and the performance of edge users; it can also effectively reduce UAV overhead and energy consumption [9].In addition, antenna height is one of the main factors affecting the coverage of wireless communication, and raising the antenna can reduce the influence of terrain on the propagation of radio waves and even change the nonvisual communication to visual communication, significantly improving the quality of communication links [10]. The use of UAVs to communication payloads aloft can improve communication problems caused by terrain, features, and the curvature of the Earth. However, high flight altitude of UAVs makes the signal strength of edge users too low and even causes the signal coverage of UAVs to overlap with the coverage of adjacent base stations, which seriously affect the performance of cell edge users. Therefore, it is very important to choose a suitable UAV flight height [11].


### 2.1. Covering Extended Scenarios

In the case of insufficient ground base station coverage, the UAV coverage capability as well as the user rate is enhanced by adding UAV base stations, and the UAV coverage extension scenario is shown in Figure1. The system-level simulation platform of the UAV is developed using OPNET software, in which the locations of ground base stations. UAV base stations and users are determined using an independent two-dimensional Poisson point process. The base station locations determined based on the Poisson point process cannot simulate the real base station distribution very well, because there are cases where the distance between two Poisson points is very close to each other.Figure 1
UAV coverage extension scenario.However, since the Poisson point process has been widely used in the performance evaluation of cellular UAVs due to its simplicity of implementation and other characteristics, and the UAV performance derived using Poisson process modeling is very close to the real base station deployment performance [8], this paper assumes that all terrestrial base stations and UAV base stations operate with the same power, respectively, the base station antennas are omnidirectional, and the user selects the base station with the highest SINR access as its service cell. In this paper, only the large scale path loss of the channel is considered, and the rate shadow fading as well as the small scale fading is not examined [12]. Assuming that the channel model is a spatial channel model, the path loss can be expressed as
(1)Lfs=20lg104πλ+10γlgd,where λ is the wavelength of the transmitted signal, γ is the path loss factor, and d is the distance between the base station and the user in m. The received signal strength of the user is the path loss plus the transmit power and antenna gain. Since the frequencies are fully multiplexed among the base stations, the interference to the user is the sum of the signal strengths of all the remaining base stations. The SINR of the user can be expressed as
(2)SINR=PcPI+PN,where Pc is the user useful signal, PI is the interference signal, and PN is the thermal noise.The modulation and coding method (MCS) that reaches each user’s data is flexibly adjusted according to the changing channel quality conditions (large scale fading characteristics), which are obtained from the receiver feedback [10]. Users in favorable locations (usually those close to the base station) are given higher modulation and coding methods (e.g., 64QAM and 3/4 turbo code rate), while users in unfavorable locations (usually those at the cell boundary) are given lower modulation and coding methods (e.g., QPSK and 1/2 turbo code rate) [13]. The transmit power given by the base station to each user remains constant, while the modulation and coding method adaptively changes according to the current channel conditions. As the BER is certain, the higher modulation requires higher SNR and higher coding rate, and the users near the base station generally have better channel conditions and are given higher modulation and coding rate (e.g., 64QAM and 5/6 turbo rate); as the distance of the user from the base station increases the channel conditions deteriorate, the modulation and coding rate are gradually reduced. There are 15 modulation coding methods supported in the UAV simulation platform.


### 2.2. Emergency Communication Scenarios

In the event of a natural disaster and the ground base station cannot work normally, the emergency communication UAV is established by arranging the UAV base station to ensure normal communication for users, and the emergency communication scenario is shown in Figure2. Before the occurrence of natural disasters, only the ground macro base station exists in the UAV, and the ground macrobase station normally provides services for mobile users. When a natural disaster occurs, the ground base station is damaged and cannot work normally. The UAV base station is arranged in the UAV to serve the ground users and ensure the normal operation of the UAV. The relevant parameters of the communication module in the UAV are set the same as the parameters of the UAV coverage extension scenario [14].Figure 2
Emergency communication field.


## 2.1. Covering Extended Scenarios

In the case of insufficient ground base station coverage, the UAV coverage capability as well as the user rate is enhanced by adding UAV base stations, and the UAV coverage extension scenario is shown in Figure1. The system-level simulation platform of the UAV is developed using OPNET software, in which the locations of ground base stations. UAV base stations and users are determined using an independent two-dimensional Poisson point process. The base station locations determined based on the Poisson point process cannot simulate the real base station distribution very well, because there are cases where the distance between two Poisson points is very close to each other.Figure 1
UAV coverage extension scenario.However, since the Poisson point process has been widely used in the performance evaluation of cellular UAVs due to its simplicity of implementation and other characteristics, and the UAV performance derived using Poisson process modeling is very close to the real base station deployment performance [8], this paper assumes that all terrestrial base stations and UAV base stations operate with the same power, respectively, the base station antennas are omnidirectional, and the user selects the base station with the highest SINR access as its service cell. In this paper, only the large scale path loss of the channel is considered, and the rate shadow fading as well as the small scale fading is not examined [12]. Assuming that the channel model is a spatial channel model, the path loss can be expressed as
(1)Lfs=20lg104πλ+10γlgd,where λ is the wavelength of the transmitted signal, γ is the path loss factor, and d is the distance between the base station and the user in m. The received signal strength of the user is the path loss plus the transmit power and antenna gain. Since the frequencies are fully multiplexed among the base stations, the interference to the user is the sum of the signal strengths of all the remaining base stations. The SINR of the user can be expressed as
(2)SINR=PcPI+PN,where Pc is the user useful signal, PI is the interference signal, and PN is the thermal noise.The modulation and coding method (MCS) that reaches each user’s data is flexibly adjusted according to the changing channel quality conditions (large scale fading characteristics), which are obtained from the receiver feedback [10]. Users in favorable locations (usually those close to the base station) are given higher modulation and coding methods (e.g., 64QAM and 3/4 turbo code rate), while users in unfavorable locations (usually those at the cell boundary) are given lower modulation and coding methods (e.g., QPSK and 1/2 turbo code rate) [13]. The transmit power given by the base station to each user remains constant, while the modulation and coding method adaptively changes according to the current channel conditions. As the BER is certain, the higher modulation requires higher SNR and higher coding rate, and the users near the base station generally have better channel conditions and are given higher modulation and coding rate (e.g., 64QAM and 5/6 turbo rate); as the distance of the user from the base station increases the channel conditions deteriorate, the modulation and coding rate are gradually reduced. There are 15 modulation coding methods supported in the UAV simulation platform.


## 2.2. Emergency Communication Scenarios

In the event of a natural disaster and the ground base station cannot work normally, the emergency communication UAV is established by arranging the UAV base station to ensure normal communication for users, and the emergency communication scenario is shown in Figure2. Before the occurrence of natural disasters, only the ground macro base station exists in the UAV, and the ground macrobase station normally provides services for mobile users. When a natural disaster occurs, the ground base station is damaged and cannot work normally. The UAV base station is arranged in the UAV to serve the ground users and ensure the normal operation of the UAV. The relevant parameters of the communication module in the UAV are set the same as the parameters of the UAV coverage extension scenario [14].Figure 2
Emergency communication field.


## 3. UAV Energy Consumption Optimization Model

Let the traffic of a request packet in the UAV from the sources to the end d be fsd and the rate be λsd. The total traffic of the packet through link eij is denoted by fij and the rate of the packet through link eij is denoted by λij. Let yijd denote the link bandwidth capacity on linkeij. Obviously, λij≤cij. Let yijd be the routing indicator variable. A request packet sent from node i to endpoint d selects node j as the next-hop node, and then yijd=1; otherwise, yijd=0.Thus, the expression for the total amount of packet trafficfij through the processing domain on link eij is
(3)fij=∑s∈V∑d∈V,d≠syijd·fsd.Similarly, an expression for the average packet arrival rateλij of the processing domain on link eij can be obtained:
(4)λij=∑s∈V∑d∈V,d≠syijd·λsd.Lettij,m denote the total time that the processing domain on link eij is running in operating state Sm, and then the total transmission run time Ta,ij (the total time that the processing domain transmits packets) can be expressed as
(5)Ta,ij=∑m=0Mtij,m.LetPa,m denote the power consumption of the processing domain running in the operating state Sm (service rate rm), and then the energy consumption of the processing domain running in the operating stateSm is pa,mtij,m, which results in the total energy consumption of the processing domain in each operating state ∑m=0Mpa,mtij,m.Letϕλij,m denote the probability that the processing domain on link eij runs in operating state Sm per unit time, and then the total time tij,mthat the processing domain runs in state Smduring the total transmission run time Ta,ij is
(6)fij=∑m=0Mrm·tij,m=∑m=0Mrm·Ta,ij·ϕλij,m=Ta,ij·∑m=0Mrm·ϕλij,m.


## 4. Distributed Heuristics for Energy-Optimized Routing

In this section, we design a distributed heuristic algorithm based on the ant colony algorithm to solve the energy consumption optimization routing model. The algorithm optimizes the total energy consumption of the UAV by planning the transmission path of each requested packet to achieve the goal of minimizing energy consumption [15]. The basic idea of the algorithm is as follows: first, a simple routing optimization rule is formulated, i.e., each node selects a path that minimizes the total energy consumption of the link on the routing path from several candidate paths to the end point for the packet to be forwarded. Then, all nodes in the UAV concurrently implement the optimization rule to achieve the minimum total energy consumption of the UAV by continuously and dynamically optimizing the packet transmission routing path.The basic idea of the distributed energy-optimized routing heuristic algorithm is as follows.(1)
In the distributed heuristic algorithm based on the ant colony algorithm, we define two types of ants: forward ants and return ants(2)
When the source sends request data, the source first queries its own routing information table whether there is a valid path to the end point, and if it exists, it sends the request data directly; if not, the source will generate several forward ants and add the source, end point, request communication rate evaluation valueλsd, and request communication volume evaluation value fsd to the ant record information table, and initialize the life value of each ant live, the energy consumption evaluation vector El and the path vector path, and the forbidden vector tabu. The advancing ant starts from the point and continuously explores a valid routing path to the end point in the drone based on the routing pheromone and heuristic information of the node. Let the probability that the ant chooses the next hop node j from the current node i as the one to reach the end point d be
(7)φij,d=τij,dαηij,dβ∑j∈Ni,dτij,dαηij,dβ,j∈Ni0,,where τij,d denotes the route pheromone value for node i to select neighbor node j to reach the end point d, ηij,d denotes the heuristic information for node i to select neighbor node j to reach the end point d, α denotes the relative importance weight of pheromone value, β denotes the relative importance weight of heuristic information, and Ni,d denotes the set of neighbor nodes in node i that can reach the end point d, i.e., the set of nodes that can be selected by the ant for the next move [16–19].By adding the request rate evaluation valueλsd and the request traffic evaluation value fsd of the ant to the link traffic evaluation value λij and the link traffic evaluation value fij of the pheromone table, the communication rate evaluation value λij+λsd and the traffic evaluation value fij+fsd from nodei to neighboring node j are calculated. The energy consumption evaluation value of the selected path eij is thus calculated according to equation (8) El,ij. Let the heuristic message ηij,d be
(8)ηij,d=σ/El,ij,where σ denotes the heuristic information conditioning factor. Obviously, the link with lower energy consumption value will be preferred.(3)
During the movement of the advancing ant, the ant continuously collects the state information of the drone. When the advancing ant moves from nodei to node j, the ant adds node j to the taboo vector tabu. At the same time, the ant evaluates the packet transmission energy from node i to that node j and adds it to the energy consumption evaluation vector El of the ant, which increases by 1 with the ant’s life value live, i.e., the number of routing hops plus 1. When the ant’s life value exceeds the threshold, the ant will die, thus ensuring that the number of routing hops will not exceed the set maximum threshold(4)
When the advancing ant reaches the end point, a returning ant is generated at the end point, all the drone information carried by the advancing ant is copied and stored, and then the advancing ant is destroyed. The returning ant will return with the collected drone information along the path moved by the advancing ant in the same way. During the return movement, the returning ant continuously updates the pheromone table and routing table of the access route at the nodes along the way. When the returning ant moves from nodej to node i, the pheromone increment released by the returning ant is Δτij,d, Δτij,d which represents the route trajectory intensity increment of node i choosing neighboring node j to reach the end point d. The walking path of the forward ant determines the pheromone increment value, which we give the following definition:
(9)Δτij,d=κ/C,i,j∈tabu0,,where C is the sum of the component values of the energy consumption evaluation vector El carried by the returning ants, and κ denotes the pheromone adjustment factor. That is, the higher the routing energy consumption the smaller the pheromone increment, the lower the energy consumption the larger the pheromone increment.Also, the update formula of the route pheromone is defined as(10)τij,d⟵ξτij,d+Δτij,d,where the parameter ξ (1, 0) denotes the volatility coefficient of the pheromone, which will decrease as the number of iterations increases.The energy consumption of the current node to the end pointd is calculated based on the energy consumption evaluation vector El carried by the returning ant, and the routing information table is updated if its value is smaller than the energy consumption of the corresponding end point d in the routing table [20].(5)
After the return and reaches the source s and updates the pheromone table and the routing table, the return and will be eliminatedThe distributed energy-optimized routing heuristic algorithm can be formulated as the following detailed steps.(1)
If a node receives a request, it executes step 2; if a node receives a forward ant, it executes step 5; if a node receives a return and, it executes step 8(2)
Query the routing table to see if there is a next hop forwarding node that reaches the endpointd. If it exists, forward the request directly and return to step 1; if it does not exist, initialize the pheromone and execute step 3(3)
Generatem forwarding ants. Initialize the forward ants, including adding the source point, end point, request communication rate evaluation value λsd, and request communication volume evaluation value fed to the ant information table; also, initialize the ant information table with the life value live, energy consumption evaluation vector El, path vector path, and taboo vector tabu(4)
Query the pheromone table and the calculated probability of selecting the next-hop node, calculate the energy consumption evaluation value to be forwarded to the next-hop node, and add the next-hop node information and energy consumption evaluation value to the forward ant information table to forward the forward ant. Return to step 1(5)
Judge whether the current node is the end point, if it is the end point, execute step 6; if it is not, execute step 7(6)
Generate a return ant and copy the forward ant information table to destroy the forward ant. (6) Generate a return ant and copy the forward ant information table to destroy the forward ant and then forward the return ant in the reverse direction and return to the original path. Return to step 1.2(7)
Update the life value of the advancing ant (life value plus 1).If the survival time exceeds the threshold, destroy the forward ant and return to step 1; if the threshold is not exceeded, execute step 4.(8)
Extract the returned ant information table, update the pheromone table of the current node, calculate the routing line energy evaluation value, and update the routing table if the evaluation value is better. Determine whether the current node is a source point, if so, execute step 9; if not, execute step 10(9)
Eliminate the returned ants. Determine whether the maximum number of iterations is reached, if not, execute step 3. If it is reached, return to step 1(10)
Forward the return ants in the reverse direction and return to the original path. Return to step 1


## 5. Simulation Experiment and Analysis

### 5.1. Experimental Design

Usually, the performance of UAV routing algorithms is mainly considered to guarantee the minimum delay of UAV requests or how to get a shortest path. On the other hand, when the links and nodes in the UAV have multiple operating states with different service rates and the regulation of the operating states is closely related to the energy consumption of the UAV components, global planning and scheduling by packets are a better choice. For example, when the energy consumption of the working state of the UAV component obeys the subadditivity, i.e.,fx+y<fx+fy, to achieve the goal of optimizing energy consumption, it is obviously necessary to schedule the load in the network as much as possible and improve the utilization of the link, such as the GreenOSPF algorithm [21–23]. However, when the energy consumption of the operating state of the UAV components obeys superadditivity, i.e., fx+y>fx+fy, to optimize the energy consumption of the UAV, it is necessary to balance the load in the UAV as much as possible.According to the relationship between rate and energy consumption in the literature [24], the relationship between energy consumption and operating rate of UAV components is nonsubadditive. Therefore, in order to verify that the energy consumption optimization routing strategy proposed in this paper can better adapt to the energy consumption distribution characteristics of links and nodes in the UAV environment with rate adaptive mechanism to achieve the goal of saving UAV energy consumption, we compare the energy consumption of three different routing strategies in our experiments and give the results of the impact on the delay performance under the three strategies [25–27]. The first one is the energy consumption optimization routing (ECOR) policy proposed in this paper; the other two routing policies are the traditional routing policy OSPF and the energy-efficient routing policy GreenOSPF, which improves link utilization by closing links and nodes. We choose NS-2 as the simulation test platform and choose the drone topology in the literature [28] for the experiment, as shown in Figure 3.Figure 3
UAV topology diagram.Referring to the parameters set in the literature [17], as shown in Table 1, the maximum power consumption of the link processing domain is normalized to the maximum rate of power consumption to 1 W. According to the curve equation of the power of the rate scaling components mentioned in the literature [17, 27],
(11)Pr=P0,r<r0,P0+Ar−r03,r≥r0,where P0 denotes the minimum energy consumption power on the link, and r0denotes the maximum transmission rate corresponding to P0. Let r0=1.625Mb/s, P0=0.232W, and A=1.308mWMb/s−3. The power consumption of each state can be obtained. Table 1 shows the operating states and power consumption of the rate adaptive policy. The overhead power consumption of the processing domain switching operating state is Psw=0.1W, and the additional overhead time is δ=0.01s.Table 1
Link rate adaptive operating states.
Working conditionTransmission rate/(Mb/s)Transmission power consumption/WS000.001S110.232S220.233S330.241S440.247S550.251S660.312In the experiment, we set the relative importance weight of pheromone valueα=1, the relative importance weight of heuristic information β=1, the number of forward ants generated each time which is 10, the maximum number of iterations which is set to 50, and the pheromone volatility coefficient ξ=0.7, decrease with the number of iterations, and remain constant after decreasing to ξ=0.2.


### 5.2. Experimental Results and Analysis

First, we test and compare the total network energy consumption of three routing strategies, ECOR, OSP, and GreenOSPF, under different UAV load conditions, with the number of UAV requests increasing gradually. For each group of requests from source to destination in the UAV system [26], the experiment randomly generates 10000 packets of 10 kbit in size, and the data sending rate of each group of requests is 1 Mb/s. The maximum link bandwidth capacity is set to 10 Mb/s. The number of Exporter Router (ER) of GreenOSPF normally accounts for 5%-10% of the total number of nodes in the network [21]. The number of Exporter Router (ER) of GreenOSPF normally accounts for 5% to 10% of the total number of network nodes [21]. Here, let ER=10%. A comparison of the experimental results is shown in Figure 4.Figure 4
Comparison of energy consumption of 3 routing algorithms.According to Figure5, we observe that the energy consumption of the three routing policies is relatively similar for a low number of requests, and GreenOSPF is slightly more energy efficient. However, with the increasing number of requests, the drone load gradually increases. Compared with OSPF and ECOR, GreenOSPF gradually exhibits high energy consumption in the UAV environment with rate adaptation. On the other hand, as the number of UAV requests increases, the ECOR proposed in this paper shows better energy efficiency.Figure 5
Comparison of link bandwidth utilization of 3 routing algorithms (number of requests is 30).To further analyze the energy consumption of UAVs, we present the distribution of the utilization of each link for two cases: the number of requests is 30, and the number of requests is 80, as shown in Figures5 and 6, where γ denotes the ratio of the actual bandwidth utilized by the UAV link to the maximum bandwidth capacity of the link, i.e., the bandwidth utilization γ. The larger the value, the higher the UAV load.As can be observed in Figure5, GreenOSPF has a relatively high link utilization rate because most of the links are turned off. Therefore, it is clear that GreenOSPF has a strong energy saving advantage in the traditional nonrate adaptive UAV environment; however, in the UAV environment with rate adaptation, the increase in link utilization does not mean better energy saving, which is related to the energy consumption distribution characteristics of the network components. According to Table 1, there is no significant difference in the power consumption on the UAV link when the transmission rate is working at a lower rate. Therefore, when the number of requests is small and the UAV load is low, GreenOSPF is slightly more energy efficient than OSPF and ECOR. However, as the UAV load increases, when the number of requests is 80, the utilization of each link is shown in Figure 6.Figure 6
Comparison of link bandwidth utilization of 3 routing algorithms (number of requests is 80).From Figure6, it can be observed that the link utilization of GreenOSPF is generally higher than that of OSPF and ECOR, and the less utilized links are directly shut down. According to Table 1, as the link service rate increases, the power consumption on the link varies more significantly, and the distribution of power consumption is nonsubadditive, which leads to the high energy consumption of GreenOSPF in the UAV environment with rate adaptation in Figure 5.Figure7 gives a comparison of the delays of the three routing algorithms when the number of requests keeps increasing.Figure 7
Delay comparison of 3 routing algorithms.On the other hand, because of nonsubadditive nature of UAV energy consumption, ECOR constantly adjusts the request routes in the direction of balancing the UAV load, which in turn leads to higher latency on the link than OSPF and ECOR. On the other hand, because of the nonsubadditive nature of the UAV energy consumption, ECOR constantly adjusts the request route towards balancing the UAV load, which in turn leads to higher delay in the routing path, and when the routing path is too long, it leads to the result shown in Figure7, where the maximum delay exceeds that of GreenOSPF [29, 31].In summary, we can see that the global UAV routing policy has an important impact on the energy saving mechanism of the road. An effective energy saving mechanism must be combined with the global UAV routing policy to better achieve the energy saving goal. At the same time, it is not difficult to find that energy-efficient routing algorithms with energy saving mechanisms come at the expense of some drone performance (e.g., delay), but they are acceptable for many applications that can tolerate a small amount of delay. For example, for some applications (e.g., VoD, IP telephony, and HDTV), the packet delay is sensitive, but they can tolerate a small amount of delay (e.g., IP telephony delay is less than 150 ms, and HDTV delay is less than 250 ms or less when users do not feel significant interruptions). Therefore, using certain energy-optimized routing strategies in UAV transmission can effectively save UAV energy and improve UAV utilization, while obtaining the required service performance.


## 5.1. Experimental Design

Usually, the performance of UAV routing algorithms is mainly considered to guarantee the minimum delay of UAV requests or how to get a shortest path. On the other hand, when the links and nodes in the UAV have multiple operating states with different service rates and the regulation of the operating states is closely related to the energy consumption of the UAV components, global planning and scheduling by packets are a better choice. For example, when the energy consumption of the working state of the UAV component obeys the subadditivity, i.e.,fx+y<fx+fy, to achieve the goal of optimizing energy consumption, it is obviously necessary to schedule the load in the network as much as possible and improve the utilization of the link, such as the GreenOSPF algorithm [21–23]. However, when the energy consumption of the operating state of the UAV components obeys superadditivity, i.e., fx+y>fx+fy, to optimize the energy consumption of the UAV, it is necessary to balance the load in the UAV as much as possible.According to the relationship between rate and energy consumption in the literature [24], the relationship between energy consumption and operating rate of UAV components is nonsubadditive. Therefore, in order to verify that the energy consumption optimization routing strategy proposed in this paper can better adapt to the energy consumption distribution characteristics of links and nodes in the UAV environment with rate adaptive mechanism to achieve the goal of saving UAV energy consumption, we compare the energy consumption of three different routing strategies in our experiments and give the results of the impact on the delay performance under the three strategies [25–27]. The first one is the energy consumption optimization routing (ECOR) policy proposed in this paper; the other two routing policies are the traditional routing policy OSPF and the energy-efficient routing policy GreenOSPF, which improves link utilization by closing links and nodes. We choose NS-2 as the simulation test platform and choose the drone topology in the literature [28] for the experiment, as shown in Figure 3.Figure 3
UAV topology diagram.Referring to the parameters set in the literature [17], as shown in Table 1, the maximum power consumption of the link processing domain is normalized to the maximum rate of power consumption to 1 W. According to the curve equation of the power of the rate scaling components mentioned in the literature [17, 27],
(11)Pr=P0,r<r0,P0+Ar−r03,r≥r0,where P0 denotes the minimum energy consumption power on the link, and r0denotes the maximum transmission rate corresponding to P0. Let r0=1.625Mb/s, P0=0.232W, and A=1.308mWMb/s−3. The power consumption of each state can be obtained. Table 1 shows the operating states and power consumption of the rate adaptive policy. The overhead power consumption of the processing domain switching operating state is Psw=0.1W, and the additional overhead time is δ=0.01s.Table 1
Link rate adaptive operating states.
Working conditionTransmission rate/(Mb/s)Transmission power consumption/WS000.001S110.232S220.233S330.241S440.247S550.251S660.312In the experiment, we set the relative importance weight of pheromone valueα=1, the relative importance weight of heuristic information β=1, the number of forward ants generated each time which is 10, the maximum number of iterations which is set to 50, and the pheromone volatility coefficient ξ=0.7, decrease with the number of iterations, and remain constant after decreasing to ξ=0.2.


## 5.2. Experimental Results and Analysis

First, we test and compare the total network energy consumption of three routing strategies, ECOR, OSP, and GreenOSPF, under different UAV load conditions, with the number of UAV requests increasing gradually. For each group of requests from source to destination in the UAV system [26], the experiment randomly generates 10000 packets of 10 kbit in size, and the data sending rate of each group of requests is 1 Mb/s. The maximum link bandwidth capacity is set to 10 Mb/s. The number of Exporter Router (ER) of GreenOSPF normally accounts for 5%-10% of the total number of nodes in the network [21]. The number of Exporter Router (ER) of GreenOSPF normally accounts for 5% to 10% of the total number of network nodes [21]. Here, let ER=10%. A comparison of the experimental results is shown in Figure 4.Figure 4
Comparison of energy consumption of 3 routing algorithms.According to Figure5, we observe that the energy consumption of the three routing policies is relatively similar for a low number of requests, and GreenOSPF is slightly more energy efficient. However, with the increasing number of requests, the drone load gradually increases. Compared with OSPF and ECOR, GreenOSPF gradually exhibits high energy consumption in the UAV environment with rate adaptation. On the other hand, as the number of UAV requests increases, the ECOR proposed in this paper shows better energy efficiency.Figure 5
Comparison of link bandwidth utilization of 3 routing algorithms (number of requests is 30).To further analyze the energy consumption of UAVs, we present the distribution of the utilization of each link for two cases: the number of requests is 30, and the number of requests is 80, as shown in Figures5 and 6, where γ denotes the ratio of the actual bandwidth utilized by the UAV link to the maximum bandwidth capacity of the link, i.e., the bandwidth utilization γ. The larger the value, the higher the UAV load.As can be observed in Figure5, GreenOSPF has a relatively high link utilization rate because most of the links are turned off. Therefore, it is clear that GreenOSPF has a strong energy saving advantage in the traditional nonrate adaptive UAV environment; however, in the UAV environment with rate adaptation, the increase in link utilization does not mean better energy saving, which is related to the energy consumption distribution characteristics of the network components. According to Table 1, there is no significant difference in the power consumption on the UAV link when the transmission rate is working at a lower rate. Therefore, when the number of requests is small and the UAV load is low, GreenOSPF is slightly more energy efficient than OSPF and ECOR. However, as the UAV load increases, when the number of requests is 80, the utilization of each link is shown in Figure 6.Figure 6
Comparison of link bandwidth utilization of 3 routing algorithms (number of requests is 80).From Figure6, it can be observed that the link utilization of GreenOSPF is generally higher than that of OSPF and ECOR, and the less utilized links are directly shut down. According to Table 1, as the link service rate increases, the power consumption on the link varies more significantly, and the distribution of power consumption is nonsubadditive, which leads to the high energy consumption of GreenOSPF in the UAV environment with rate adaptation in Figure 5.Figure7 gives a comparison of the delays of the three routing algorithms when the number of requests keeps increasing.Figure 7
Delay comparison of 3 routing algorithms.On the other hand, because of nonsubadditive nature of UAV energy consumption, ECOR constantly adjusts the request routes in the direction of balancing the UAV load, which in turn leads to higher latency on the link than OSPF and ECOR. On the other hand, because of the nonsubadditive nature of the UAV energy consumption, ECOR constantly adjusts the request route towards balancing the UAV load, which in turn leads to higher delay in the routing path, and when the routing path is too long, it leads to the result shown in Figure7, where the maximum delay exceeds that of GreenOSPF [29, 31].In summary, we can see that the global UAV routing policy has an important impact on the energy saving mechanism of the road. An effective energy saving mechanism must be combined with the global UAV routing policy to better achieve the energy saving goal. At the same time, it is not difficult to find that energy-efficient routing algorithms with energy saving mechanisms come at the expense of some drone performance (e.g., delay), but they are acceptable for many applications that can tolerate a small amount of delay. For example, for some applications (e.g., VoD, IP telephony, and HDTV), the packet delay is sensitive, but they can tolerate a small amount of delay (e.g., IP telephony delay is less than 150 ms, and HDTV delay is less than 250 ms or less when users do not feel significant interruptions). Therefore, using certain energy-optimized routing strategies in UAV transmission can effectively save UAV energy and improve UAV utilization, while obtaining the required service performance.


## 6. Conclusions

Reducing the energy consumption of UAVs is a key issue that is urgently needed to build green UAVs in the current UAV field. The service rate adaptivity of UAV devices provides an effective way to optimize UAV energy consumption and improve UAV energy efficiency. Most of the current research work in studying energy-efficient routing strategies for green UAVs focuses on trying to improve the utilization of links; at the same time, the goal of energy-saving is achieved by shutting down the underutilized links as much as possible while satisfying certain constraints, and most of these studies do not consider the energy saving strategies on the links. In order to consider the UAV energy-saving problem more effectively, it is of better practical significance to combine the UAV node-level link energy-saving strategy and the UAV global routing strategy to study.In this paper, we propose a global and distributed energy-optimized routing strategy. The strategy starts from the perspective of UAV global routing and abstracts the UAV components that provide transmission services for data into a processing domain according to the service characteristics of UAVs. In order to solve the service rate and the average number of transitions of operating states in the processing domain when the rate is adaptive, the service process of the processing domain is considered as a service system with variable service rate. Then, with the objective of minimizing the total energy consumption of the UAV and satisfying the relevant routing and performance constraints, an optimized routing model based on rate adaptation for energy consumption is established. The model is solved using an improved ant colony algorithm. In the simulation experiments of the NS-2 simulator, we compare the energy-optimized routing algorithm proposed in this paper with the energy-efficient routing algorithms of OSPF and GreenOSPF in the related literature and present the comparative experimental results of the algorithm in terms of energy consumption and delay. The comparison experimental results show that the energy-optimized routing algorithm proposed in this paper can match the rate adaptation mechanism more effectively and has a better energy saving effect, thus achieving the purpose of optimizing and reducing energy consumption.



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