4.2.1. Hierarchical Clustering
The second section of our analysis pertains to topic modeling, where the application of hierarchical clustering in conjunction with BERTopic yielded significant insights into the technological landscape of wave and tidal energy patents. By clustering the topics generated by BERTopic, we were able to identify coherent groups of patents that reflect distinct technological and innovation clusters within the field.
For wave energy, as illustrated in
Figure 10, the dendrogram reveals seven clusters, each corresponding to a major area of focus within this sector. The largest cluster, comprising 182 patents, is centered on energy conversion systems, highlighting a significant concentration of patents dedicated to maximizing the efficiency and effectiveness of transforming wave energy into usable electricity. Following this, a cluster of 173 patents focuses on innovations related to water and air interactions, often associated with wave energy generation mechanisms. Another significant cluster, with 171 patents, pertains to floating structures, including buoys and other buoyant bodies crucial for wave energy systems. The next cluster includes 165 patents focused on hydraulic systems, particularly those involving cylinders and pistons, essential for energy conversion processes. Additional clusters include patents on general wave energy technologies with 126 patents, novel converters with 90 patents, and PTO (Power Take-Off) absorbers with 81 patents, which reflect the importance of these critical technologies.
For tidal energy, the hierarchical clustering revealed seven significant clusters, each reflecting a unique aspect of innovation within this domain. The largest cluster, with 243 patents, is related to tide energy conversion devices with novel mechanisms, illustrating the industry's focus on enhancing the reliability and performance of tidal energy systems. The second-largest cluster, consisting of 213 patents, is centered on innovations related to water flow and connected components, essential for tidal energy conversion. Another cluster of 208 patents focuses on mechanical components like plates and gears, which are vital for the functioning of tidal energy turbines. Additionally, 186 patents are grouped around floating platforms, indicating the importance of infrastructure in tidal energy deployment. Clusters focused on the general field of tidal energy with 152 patents and rotor and blade design with 144 patents further highlight key areas of development. The smallest cluster, with 49 patents, addresses issues related to data analysis and calculations critical for optimizing tidal energy systems.
4.2.2. Topic Word Scores
Through c-TF-IDF (class-based Term Frequency-Inverse Document Frequency) scores, the BERTopic model not only distinguishes unique subjects within the patent corpus but also offers a comprehensive perspective of the most representative words for each topic. These scores quantify the importance of terms within each topic, enabling a deeper understanding of the specific concepts and technologies that dominate each cluster. The c-TF-IDF formula is presented here:
Where tf
x,c is the frequency of word x in class c and f
x is the frequency of word x across all classes. A is the average number of words per class. To visualize the key terms for selected topics, bar charts of the c-TF-IDF scores were generated. These visualizations, as shown in
Figure 11, allow for easy comparison of the importance of different terms both within and between topics, offering valuable insights into the thematic structure of the patent landscape.
For instance, in the topic number 2, terms such as "float," "buoyant," and "structure" exhibit high c-TF-IDF scores. These terms are crucial in understanding the primary focus of innovations within this topic, which centers on technologies designed to efficiently capture and convert wave energy into electrical power.
In the tidal energy topic, terms like "rotor”," "float," and "platform" stand out with significant c-TF-IDF scores. The significance of these terms highlights the continuous efforts to improve the efficiency and reliability of tidal energy systems, with a particular focus on optimizing turbine performance and durability in demanding marine conditions.
The visual comparison of these terms across different topics reveals the core technological areas within these sectors. For example, while both wave and tidal energy topics emphasize energy conversion, the specific technologies and challenges differ, as reflected in the distinct vocabulary and term importance captured by the c-TF-IDF scores.
While word scores provide some insight, they are often limited in their interpretability, as they only display the top words associated with each topic. This can obscure the full scope of the topic, as important nuances and additional relevant terms are not captured. To address this limitation, it is necessary to incorporate a broader range of terms and apply meaningful labels to the topics to ensure a more comprehensive understanding. In the following section we used we utilized BERTopic's GPT-based representations function to incorporate a broader range of terms and apply more meaningful labels to the topics.
4.2.3. Topic Representations
To enhance the clarity and coherence of the topics identified by BERTopic, we employed fine-tuning of topic representations using GPT-based models. This approach allowed us to refine the initial topic descriptions generated by BERTopic, ensuring that they accurately capture the nuances and specific technological aspects of each cluster. The process involved using GPT to analyze the top-ranked words and their context within each topic. By using GPT’s advanced language understanding capabilities, we generated more descriptive and contextually relevant summaries for each topic. These refined representations provide a clearer and more informative view of the thematic content within each cluster.
For example, in the case of Topic 3, related to wave energy converters, the set of keywords provided was: ['hydraulic', 'cylinder', 'piston', 'oil', 'connected', 'pump', 'pressure', 'valve', 'air']. Alongside these keywords, three abstracts from relevant patents were supplied to the language model. One of these abstracts describes a "mushroom" oscillating water column wave energy conversion device. This device, belonging to the technical field of new energy utilization, comprises an air chamber, a base structure, and a turbine generating device. The air chamber is made up of a cylindrical ring body and a hemispherical ring located on the cylindrical ring body, both sharing the same radius. It features a gas hole pipeline connected with the turbine generating device, which operates under the influence of bidirectional airflow. The device is designed for 360-degree omnidirectional wave energy absorption, enhancing energy absorption rates through a stable, fixed structure, thereby improving power generation efficiency. The combined structural design also facilitates maintenance and makes the conversion device adaptable from offshore to onshore conditions. Based on the prompt provided, the language model generated the label: "Wave energy conversion devices using hydraulic systems and turbines." This description effectively captures the essence of the topic, aligning with the characteristics extracted from both the keywords and the associated documents.
The refined topic representations for wave energy are presented in
Table 4. The following topics represent key areas of innovation and research within the domain of wave energy conversion. While these topics provide valuable insights into the field, they may not perfectly align with other wave energy conversion technologies due to the probabilistic nature of the topic modeling methodology used. Each topic focuses on different technological approaches to harness the power of ocean waves, reflecting the diversity and complexity of solutions being developed in this field.
In the topics identified in wave energy, topic 0 centers on wave energy conversion technologies that employ oscillating elements combined with generators to harness energy from ocean waves. These devices, which convert wave-induced mechanical motion into electrical power, have been the focus of significant innovation in patent filings, particularly in optimizing energy capture and enhancing the durability of oscillating elements under varying wave conditions. The technologies covered in these patents are well discussed in the academic literature as well. For instance, Falcão and Henriques [
95] provide a comprehensive review of oscillating water column systems and air turbines, showing key innovations similar to those found in recent patents. Their exploration of model-prototype similarity in OWC systems [
96], along with Gomes et al.'s work on hydrodynamic optimization of axisymmetric floating OWCs [
97], underscores the strong alignment between patented technologies and ongoing academic research. Additionally, Falcão's earlier work [
98] on the control of OWC wave power plants for maximum energy production further complements these studies by offering a stochastic model to devise optimal control algorithms for maximizing power output in OWC systems equipped with Wells turbines.
Similarly, topic 1 explores wave energy conversion systems that employ anchored beams, long beams, and pressure-based chambers to extract energy from sea waves. The anchored and elongated beams act as primary energy absorbers, with the pressure-based chambers facilitating energy transfer and conversion. Innovations in this area focus on improving the stability and efficiency of these systems, ensuring they can withstand the harsh marine environment while effectively capturing the kinetic energy of waves. In the literature, studies such as those by Ghafari et al. [
99] and Heo and Koo [
100] have examined related technologies. Ghafari et al. [
99] conducted a numerical study on the Wavestar wave energy converter with a multi-point absorber system, analyzing its performance around a floating wind turbine platform. Similarly, Heo and Koo [
100] focused on the dynamic response of a Wavestar-type converter in Korean nearshore areas, investigating its effectiveness in energy capture under varying environmental conditions. Following this, topic 2 delves into wave energy converters that incorporate floating structures, turbines, and mooring systems. These technologies are designed to move with ocean waves, driving turbines to generate electricity, while mooring systems ensure the converters remain stable and effective across various sea states. The primary focus is on improving the reliability and performance of these systems, particularly under challenging offshore conditions. This area of technology has been extensively studied, with significant contributions from researchers such as Clemente et al. [
101], who explored wave energy converters on multipurpose offshore platforms, and Li et al. [
102], who conducted experimental studies on floating two-body wave energy converters.
Extending this discussion, topic 3 focuses on wave energy conversion devices that utilize hydraulic systems in conjunction with turbines to harness power from ocean waves. These systems typically use hydraulic pumps activated by wave motion, which then drive turbines to generate electricity. The main goal in this area is to enhance the efficiency of hydraulic energy transfer and turbine operation while ensuring the systems can withstand the continuous stresses imposed by wave action. Significant contributions to this field include research by Henderson [
103], who designed and tested a hydraulic power take-off system for, as well as ongoing studies that continue to refine these technologies. In much the same way, topic 4 focuses on wave energy converters that leverage piezoelectric materials combined with floating bodies, particularly for applications near piers. These devices convert mechanical stress, induced by wave motion, into electrical energy through the piezoelectric effect. The floating bodies absorb wave energy and transfer it to the piezoelectric materials, which then generate electricity. Innovations in this area aim to maximize energy output and seamlessly integrate these systems into existing marine infrastructure, providing localized power generation. Research by Cai et al. [
104], Xie et al. [
105], and Yang et al. [
106] has contributed significantly to advancing these technologies.
Correspondingly, topic 5 explores wave energy conversion technologies that utilize the principles of buoyancy, ballast, and pulley systems, integrated with power take-off (PTO) mechanisms. These systems typically involve floating structures that move with ocean waves, with buoyancy and ballast elements managing their motion. Pulleys and PTO systems then convert this motion into electrical energy. The focus of research in this area is on optimizing the interaction between these components to enhance energy efficiency and ensure the long-term reliability of the systems. This technology stream has been extensively studied, with significant contributions from researchers such as Falnes and Hals [
107] , Korde and Ertekin [
108], and Temiz et al. [
109], who have explored various aspects of buoyancy, ballast, and pulley systems in wave energy conversion. Furthermore, Sjökvist et al. [
110] have made important contributions by optimizing point absorber buoys, which are a key component in many wave energy systems, focusing on improving their performance and energy capture efficiency.
Ultimately, topic 6 focuses on wave energy conversion technologies that leverage advanced control strategies for multi-degree-of-freedom power take-off (PTO) systems. These systems are designed to maximize energy extraction from wave motion by dynamically adjusting their configurations in response to changing wave conditions. Innovations in this area emphasize the development of sophisticated control algorithms and PTO mechanisms that can adapt in real-time, optimizing power output and improving the overall efficiency of wave energy converters. This area of research has been extensively studied, with significant contributions from Abdelkhalik et al. [
111] on wave prediction control, Ringwood et al. [
112] on control technology possibilities, and Zhang et al. [
113] on predictive control for wave-energy converter arrays, and Abdulkadir and Abdelkhalik [
114] on optimal constrained control of wave energy converter arrays.. Other notable works include Coe [
115] on practical wave energy modeling, Ahamed et al. [
116] on advancements in PTO systems, and Mérigaud and Tona [
117] on spectral control for non-ideal PTO systems, and Xue et al. [
118] on control parameters optimization for hydraulic PTO systems in eccentric rotating wave energy converters.
Similarly,
Table 5 details the refined topic representations for tidal energy. These tables summarize the most representative topics in each domain and provide comprehensive overview of the key areas of innovation and research.
In tidal energy topics, topic 0 focuses on the development of tidal energy conversion devices that incorporate innovative mechanisms to enhance power generation efficiency. These technologies are designed to optimize energy extraction from tidal currents by employing advanced techniques, making them more effective at capturing and converting tidal energy into electricity. Significant contributions to this field include research by Khan et al. [
119], who conducted a comprehensive review of hydrokinetic energy conversion systems, comparing horizontal and vertical axis turbines for river and tidal applications. In the same manner, topic 1 explores the design and implementation of advanced water control devices featuring interconnected systems to manage flow and storage in tidal energy applications. These devices are essential for optimizing energy generation and ensuring the stable operation of tidal energy systems by precisely controlling water movement and storage. Notable research in this area includes studies by Singh and Zaheeruddin[
120], who investigated the enhancement of frequency regulation using virtual inertia from capacitive energy storage systems, and by Zaheeruddin and Singh [
121], who explored load frequency regulation using fractional fuzzy-based PID droop controllers in tidal turbine power plants.
In a similar vein, topic 2 focuses on mechanical assemblies that incorporate rotating components critical for energy transmission and the operation of tidal energy devices. The emphasis is on improving the efficiency and reliability of these assemblies, which are vital for converting kinetic energy into mechanical and electrical energy in tidal energy systems. A significant study by Payne, Stallard, and Martinez [
122] details the design and manufacture of a bed-supported tidal turbine model, highlighting advancements in blade and shaft load measurement in turbulent flow and waves, underscoring the importance of reliable mechanical assemblies in tidal energy conversion. Extending this discussion, topic 3 examines tidal energy conversion systems that utilize floating platforms equipped with a variety of mechanical and buoyancy-driven mechanisms for generating electricity. These platforms are designed to harness the power of tidal movements, offering flexibility and efficiency in energy production, especially in offshore and deep-water environments. The work of Kim et al. [
123] on the development of a floating-bridge type small tidal current turbine for energy-independent islands in Korea highlights the potential of such systems in regions with limited space. Their research underscores the importance of blade design in optimizing turbine performance, particularly in small-scale installations. Additionally, Sanchez et al. [
124] conducted a comparative impact assessment of floating versus bottom-fixed tidal stream turbines, revealing that while both types have similar impacts on general estuarine circulation, significant differences exist in their local effects. Further exploration by Sanchez et al. [
125] into the performance of these turbines in a tidal stream project illustrates the importance of device selection, showing that floating turbines may offer advantages in certain environments due to vertical variations in flow velocity.
Topic 4 focuses on tidal energy generation technologies that employ buoyant modules, pistons, and reservoirs to produce electricity efficiently. These systems leverage the natural buoyancy of floating modules and the mechanical action of pistons to drive energy generation processes, optimizing the capture and conversion of tidal energy. Building on these concepts, topic 5 focuses on the development of advanced turbine devices that integrate magnets, blades, and rotating shafts to generate energy from tidal currents. Innovations in this area aim to enhance the design and performance of these turbines, making them more effective at capturing tidal energy and converting it into usable electrical power. A key contribution in this field is the work by McGilton et al. [
126], which reviews magnetic gear technologies and their applications in marine energy, highlighting their potential to improve turbine efficiency and reliability in tidal energy systems. Additionally, Ibrahim and Legaz [
127] have assessed the hydrokinetic power potential in Spanish coastal areas using a novel turbine design, the fin-ring turbine. Their study presents promising results, demonstrating the turbine's superiority in lower currents and its applicability in different marine environments.
Likewise, topic 6 focuses on optimizing tidal energy power generation by employing advanced modeling techniques and detailed parameter analysis. Researchers in this area work to understand and refine the various factors that influence the performance of tidal energy systems, aiming to maximize energy output and enhance overall efficiency. Notable contributions include Zhou et al.'s analysis of the double-elastic-constrained flapping hydrofoil for tidal current energy extraction [
128], and González-Gorbeña et al.'s work on optimizing the layout of tidal energy converter arrays, considering geometric, economic, and environmental constraints [
129].
4.2.5. Similarity between Topic
To further examine the relationships among the topics identified by BERTopic, we calculated the similarity between topics using cosine similarity, a well-established metric for assessing the degree of similarity between two non-zero vectors. By applying this method to the topic embeddings generated through both c-TF-IDF and other embedding techniques, we constructed a similarity matrix that quantifies how closely related different topics are within the wave and tidal energy domains. Cosine similarity is calculated using the following formula [
130]:
Where A and B are the topic embedding vectors, A⋅B represents the dot product of these vectors, and |A|and|B| denote the magnitudes of the vectors. The cosine similarity value ranges from -1 to 1, where 1 indicates identical topics, 0 indicates orthogonality (no similarity), and -1 indicates complete dissimilarity. The resulting similarity matrix serves as a robust tool for understanding the thematic relationships between topics. It reveals clusters of topics that share significant conceptual overlaps or are closely related in their technological focus. This analysis is crucial for identifying synergies or potential redundancies in research efforts within the field.
To better interpret these relationships, we visualized the similarity matrix as a heatmap. This heatmap provides an intuitive representation of topic similarities, where darker shades indicate higher similarity scores, thereby making it easier to identify which topics are most closely related. Such visualizations are instrumental in drawing insights from complex data, facilitating a deeper understanding of the underlying patterns within the technological landscape.
The heatmap can be generated by applying the cosine similarity calculation to the topic embeddings, followed by visualization of the results in a heatmap format. This method offers an efficient and effective way to explore and interpret the relationships between topics, contributing to a more comprehensive analysis of the research and innovation trends in wave and tidal energy.
The similarity matrix is visualized in
Figure 12. These heatmaps provide intuitive visual representations of the topic similarities, with darker shades indicating higher similarity scores. This makes it easier to identify which topics are most closely related, thereby facilitating the exploration of synergies, overlaps, or gaps within the respective domains.
The topics identified in wave energy patents reveal key similarities. Topic 1 and topic 4 are closely related, both focusing on wave energy conversion using floating structures, with topic 1 emphasizing anchored systems and topic 4 highlighting piezoelectric converters. Topic 0, topic 2, and topic 3 share similarities in utilizing mechanical components like shafts, floats, and hydraulic systems for energy conversion, differing mainly in their specific mechanisms. Lastly, topic 4 and topic 6 both focus on optimizing energy extraction, with topic 4 involving floating bodies and topic 6 highlighting advanced PTO control systems. In the analysis of tidal energy patents, topic 6 stands out as the least similar to the others, focusing primarily on modeling and parameter analysis for optimizing power generation, rather than specific mechanical or structural innovations. However, similarities exist among other topics.