Imperial College London


Faculty of EngineeringDepartment of Electrical and Electronic Engineering

Professor of Power Systems



+44 (0)20 7594 6172b.pal Website CV




Miss Guler Eroglu +44 (0)20 7594 6170




1104Electrical EngineeringSouth Kensington Campus





Publication Type

213 results found

Dozein M, Pal BC, Mancarella P, 2022, Dynamics of Inverter-Based Resources in Weak Distribution Grids, IEEE Transactions on Power Systems, ISSN: 0885-8950

Journal article

Dhanuja L, Rather Z, Pal BC, 2021, A New Tool to Assess Maximum Permissible Solar PV Penetration in a Power System, Energies, ISSN: 1996-1073

With diminishing fossil fuel resources and increasing environmental concerns, largescale deployment of Renewable Energy Sources (RES) has accelerated the transition towards cleanenergy systems, leading to significant RES generation share in power systems worldwide. Amongdifferent RES, solar PV is receiving major focus as it is most abundant in nature compared toothers, complimented by falling prices of PV technology. However, variable, intermittent and nonsynchronous nature of PV power generation technology introduces several technical challenges,ranging from short-term issues, such as low inertia, frequency stability, voltage stability and smallsignal stability, to long-term issues, such as unit commitment and scheduling issues. Therefore,such technical issues often limit the amount of non-synchronous instantaneous power that can besecurely accommodated by a grid. In this backdrop, this research work proposes a tool to estimatemaximum PV penetration level that a given power system can securely accommodate for a givenunit commitment interval. The proposed tool will consider voltage and frequency while estimatingmaximum PV power penetration of a system. The tool will be useful to a system operator in assessinggrid stability and security under a given generation mix, network topology and PV penetration level.Besides estimating maximum PV penetration, the proposed tool provides useful inputs to the systemoperator which will allow the operator to take necessary actions to handle high PV penetration in asecure and stable manner.

Journal article

Guo Y, Pal BC, Jabr RA, Geng Het al., 2021, Global optimality of inverter dynamic voltage support, IEEE Transactions on Power Systems, ISSN: 0885-8950

This paper investigates the dynamic voltage support (DVS) of inverter-based resources (IBRs) under voltage sags to enhance the low-voltage ride-through performance. The DVS problem is formulated as a nonconvex optimization program that maximizes the positive-sequence voltage magnitude at the point of common coupling (PCC) subject to the current, active power, and synchronization stability constraints. Then, we perform the optimality analysis to explore the global optimum analytically. It is found that the unique global optimum has three scenarios/stages (S1S3), which depends on the specific relationship among grid voltage, grid strength, and physical limits of IBRs. The explicit closed-form solutions in S1 and S3 are derived, and the optimality conditions (an implicit solution) of S2 are provided, which guarantees the global optimality and enables the compatibility with fast real-time control. Finally, we implement the optimum with a grid-connected single-stage photovoltaic (PV) power plant by integrating a DVS controller. Dynamic simulations are carried out under different scenarios to test our proposal. The robustness against model errors is also discussed. Dynamic simulations are carried out under different scenarios to test our proposal and compare it with other existing methods.

Journal article

Nsengiyaremye J, Pal BC, Begovic MM, 2021, Low-cost communication-assisted line protection for multi-inverter based microgrids, IEEE Transactions on Power Delivery, Vol: 36, Pages: 3371-3382, ISSN: 0885-8977

Multi-inverter microgrid systems, particularly those with loop topology, offer higher power supply reliability and robustness compared to conventional radial distribution systems. In meshed systems, communication-less protection schemes have proved to be ineffective for multi-inverter microgrids due to bidirectional power flow, and limited and controlled fault currents generated by the voltage source converters interfacing the energy source to the network. This makes communicationassisted line protection schemes preferable for such systems despite the necessity for communication means. While these protection schemes are effective, their reliability depends much on the communication availability. This requires a back-up communication path in case the main one fails bringing up the cost issue that hinders their uptake. This paper proposes a novel and low-cost line protection based on directional blocking strategy that can operate as a main as well as a back-up protection to any protection scheme using communication means between the line terminals. As the main, it requires low-bandwidth communication system. As a back-up, it would share the same communication means with the main one and use those of the healthy lines when the faulted lines fails. Thus saving the cost of back-up communication system.

Journal article

Liu Y, Singh AK, Zhao J, Meliopoulos APS, Pal BC, Bin Mohd Ariff MA, Van Cutsem T, Glavic M, Huang Z, Kamwa I, Mili L, Mir AS, Taha AF, Terziya V, Yu Set al., 2021, Dynamic state estimation for power system control and protection, IEEE Transactions on Power Systems, Vol: 36, Pages: 5909-5921, ISSN: 0885-8950

Dynamic state estimation (DSE) accurately tracks the dynamics of a power system and provides the evolution of the system state in real-time. This paper focuses on the control and protection applications of DSE, comprehensively presenting different facets of control and protection challenges arising in modern power systems. It is demonstrated how these challenges are effectively addressed with DSE-enabled solutions. As precursors to these solutions, reformulation of DSE considering both synchrophasor and sampled value measurements and comprehensive comparisons of DSE and observers have been presented. The usefulness and necessity of DSE based solutions in ensuring system stability, reliable protection and security, and resilience by revamping of control and protection methods are shown through examples, practical applications, and suggestions for further development.

Journal article

Pawar B, Batzelis E, Chakrabarti S, Pal BCet al., 2021, Grid-forming control for solar PV systems with power reserves, IEEE Transactions on Sustainable Energy, Vol: 12, Pages: 1947-1959, ISSN: 1949-3029

This paper presents a grid-forming control (GFC) scheme for two-stage photovoltaic (PV) systems that maintains power reserves by operating below the maximum power point (MPP). The PV plant in GFC mode behaves like a voltage source that supports the grid during disturbances in full or limited grid-forming mode as per the reserve availability. This is a model-free method that avoids the estimation of MPP power in real-time commonly done in the literature, which makes it simpler and more reliable. The proposed control also features an enhanced current limitation scheme that guarantees containment of the current overshoots during faults, which is not trivial in voltage-sourced GFC inverters. A thorough investigation is done, exploring various generation mixtures of synchronous machines (SM), GFC and grid-following (GFL) inverters, and all common disturbances, e.g., load change, faults and irradiance transients. The results show very favorable dynamic performance by the GFC inverters, far superior to GFL inverters and directly comparable to SMs. It is found that replacing SMs with GFC inverters may improve the frequency profile and terminal voltage during disturbances, despite losing out in the mechanical inertia and the strict inverter overcurrent limits.

Journal article

Liu J, Singh R, Pal B, 2021, Distribution system state estimation with high penetration of demand response enabled loads, IEEE Transactions on Power Systems, Vol: 36, Pages: 3093-3104, ISSN: 0885-8950

Demand-side operations incentivize utility customers to take part in various grid services. A demand response enabled load (DREL) is a flexible grid asset that schedules electricity consumption in response to a time-of-use (TOU) energy price. Consequently, its energy profile differs from that of a conventional load that is insensitive to price. This difference may cause new challenges for distribution system state estimation (DSSE). It is well known that DSSE often needs to use pseudo-measurements based on historic load profiles to increase system observability. However, historic profiles of conventional loads are not representative of DREL behaviors. The inaccuracy impacts DSSE results and other DSSE-dependent operations. In this paper, we propose an online pseudo-measurement generation approach for DSSE with DRELs. We formulate an optimization model to represent DRELs self-adjusting actions. Sampling-based stochastic optimization techniques are proposed to account for uncertainties in DRELs. A set of representative DREL behavior data corresponding to the samples are used to characterize DREL pseudo-measurements. Case studies with modified IEEE 123-bus test system verify the validity of the proposed work.

Journal article

Hatziargyriou N, Milanovic J, Rahmann C, Ajjarapu V, Canizares C, Erlich I, Hill D, Hiskens I, Kamwa I, Pal B, Pourbeik P, Sanchez-Gasca J, Stankovic A, Van Cutsem T, Vittal V, Vournas Cet al., 2021, Definition and classification of power system stability - revisited & extended, IEEE Transactions on Power Systems, Vol: 36, Pages: 3271-3281, ISSN: 0885-8950

Since the publication of the original paper on power system stability definitions in 2004, the dynamic behavior of power systems has gradually changed due to the increasing penetration of converter interfaced generation technologies, loads, and transmission devices. In recognition of this change, a Task Force was established in 2016 to re-examine and extend, where appropriate, the classic definitions and classifications of the basic stability terms to incorporate the effects of fast-response power electronic devices. This paper based on an IEEE PES report summarizes the major results of the work of the Task Force and presents extended definitions and classification of power system stability.

Journal article

Cifuentes N, Pal BC, 2021, A new approach to the fault location problem: using the fault’s transient intermediate frequency response, IEEE Open Access Journal of Power and Energy, Vol: 8, Pages: 510-521, ISSN: 2687-7910

The fault location problem has been tackled mainly through impedance-based techniques, the travelling wave principle and more recently machine learning algorithms. These techniques require both current and voltage measurement. In the case of impedance-based methods they can provide multiples solutions. In the case of the travelling wave approach it usually requires high sampling frequency measurements together with sophisticated identification algorithms. Machine learning techniques require training data and re-tuning for different grid topologies. This paper proposes a new fault location method based on the fault’s transient intermediate frequency response of the system immediately after a fault occurs. The transient response is characterized by the travelling wave phenomenon together with intermediate frequencies of oscillation, which are dependent on the faulted section and the fault location. In the proposed fault location solution, an offline methodology identifies these intermediate frequencies and their dependency on the fault location is fitted using a polynomial regression. The online fault location is performed using those polynomial regressions together with voltage measurements from the system and simple signal processing techniques. The full method is tested with an EMT simulation in PSCAD, using the exact frequency dependent model for underground cables.

Journal article

Zhao J, Netto M, Huang Z, Yu SS, Gomez-Exposito A, Wang S, Kamwa I, Akhlaghi S, Mili L, Terzija V, Meliopoulos APS, Pal B, Singh AK, Abur A, Bi T, Rouhani Aet al., 2021, Roles of dynamic state estimation in power system modeling, monitoring and operation, IEEE Transactions on Power Systems, Vol: 36, Pages: 2462-2472, ISSN: 0885-8950

Power system dynamic state estimation (DSE) remains an active research area. This is driven by the absence of accurate models, the increasing availability of fast-sampled, time-synchronized measurements, and the advances in the capability, scalability, and affordability of computing and communications. This paper discusses the advantages of DSE as compared to static state estimation, and the implementation differences between the two, including the measurement configuration, modeling framework and support software features. The important roles of DSE are discussed from modeling, monitoring and operation aspects for today's synchronous machine dominated systems and the future power electronics-interfaced generation systems. Several examples are presented to demonstrate the benefits of DSE on enhancing the operational robustness and resilience of 21st century power system through time critical applications. Future research directions are identified and discussed, paving the way for developing the next generation of energy management systems and novel system monitoring, control and protection tools to achieve better reliability and resiliency.

Journal article

Karbouj H, Rather Z, Pal B, 2021, Adaptive voltage control for large scale solar PV power plant considering real life factors, IEEE Transactions on Sustainable Energy, Vol: 12, Pages: 990-998, ISSN: 1949-3029

This paper presents an accurate and realistic estimation of reactive power capability of solar photovoltaic (PV) inverters considering ambient temperature, solar irradiance, and terminal voltage. Based on the accurate estimation of reactive power capability, a self-adaptive voltage controller is proposed to enable solar PV power plant participation in voltage control ancillary service. The proposed accurate and realistic estimation has revealed the possibility of solar PV power plant failing to comply with grid code requirements under extreme weather conditions. On the other hand, the proposed control strategy has shown significantly better effectiveness to utilise solar PV inverter capability, and provide better voltage control support service to the grid.

Journal article

Pawar B, Saikat C, Batzelis E, Pal Bet al., 2021, Grid-Forming Control for Solar PV Systems with Real-Time MPP Estimation, IEEE PES GM

Conference paper

Ali H, Pal B, 2021, Model order reduction of multi-terminal direct-current grid systems, IEEE Transactions on Power Systems, Vol: 36, Pages: 699-711, ISSN: 0885-8950

This paper proposes a methodology to develop a linear low-order model of a multi-terminal direct-current (MTDC) system connected to practically-sized offshore wind farm systems. The method individually linearizes the model of wind farm systems and subsequently performs model order reduction (MOR) using iterative rational Krylov algorithm (IRKA). This is, therefore, a modular approach and expandable to any number of wind farm connections. On the other hand, the model order and non-linearity of other components are retained. Effectiveness of the proposed method is demonstrated on an MTDC system connected to two large-scale wind farm models by comparing the responses obtained from the full order model (FOM) and reduced order model (ROM). From the simulation studies, it can be seen that the ROM obtained from proposed method is able to maintain high degree accuracy of FOM responses at a much faster simulation time, and hence this can help power system operation planning. Various control functionalities and strategies, different operating conditions and faults of the MTDC system are also considered to investigate robustness of the proposed method.

Journal article

Yu Y, Nduka O, Pal B, 2020, Smart control of an electric vehicle for ancillary service in DC microgrid, IEEE Access, Vol: 8, Pages: 197222-197235, ISSN: 2169-3536

This article presents a two-stage framework for optimal Electric Vehicle (EV) charging/discharging strategy for DC Microgrid (MG) with Distributed Generators (DGs). A multi-objective optimisation task aimed at minimising system losses and EV battery degradation with Vehicle-to-Grid (V2G) peak shaving service has been realised. This coordinated EV integration into the DCMG was formulated as a directed weighted single source shortest path problem that was solved using a modified Dijkstra’s algorithm. The weights of the edges were obtained using primal-dual interior point method. The proposed framework has been experimentally verified using simulations with a test DCMG system with practical IEEE European low voltage test feeder load profiles. Results show realisation of peak demand shaving leveraging on EV discharge with minimal on-board battery degradation as well as reduced system losses. It is also shown that the proposed two-stage framework reduces the battery state of charge (SOC) sample space requirements in the analysis, thus, reducing the computational burden.

Journal article

Chen Y, Mazhari SM, Chung CY, Faried S, Pal BCet al., 2020, Rotor angle stability prediction of power systems with high wind power penetration using a stability index vector, IEEE Transactions on Power Systems, Vol: 35, Pages: 4632-4643, ISSN: 0885-8950

This paper proposes a methodology for predicting online rotor angle stability in power system operation under significant contribution from wind generation. First, a novel algorithm is developed to extract a stability index (SI) that quantifies the margin of rotor angle stability of power systems reflecting the dynamics of wind power. An approach is proposed that takes advantage of the machine learning technique and the newly defined SI. In case of a contingency, the developed algorithm is employed in parallel to find SIs for all possible instability modes. The SIs are formed as a vector and then applied to a classifier algorithm for rotor angle stability prediction. Compared to other features used in state-of-the-art methods, SI vectors are highly rec-ognizable and thus can lead to a more accurate and reliable prediction. The proposed approach is validated on two IEEE test systems with various wind power penetration levels and compared to existing methods, followed by a discussion of results.

Journal article

Ul Nazir F, Pal B, Jabr R, 2020, Approximate load models for conic OPF solvers, IEEE Transactions on Power Systems, Vol: 36, Pages: 549-552, ISSN: 0885-8950

The global optimum of the optimal power flow (OPF) problem can be sought in various practical settings by adopting the conic relaxations, such as the second order cone programs (SOCPs) and semi-definite programs (SDPs). However, the ZIP (constant impedance, constant current, constant power) and exponential load models are not directly amenable with these conic solvers. Thus, these are mostly treated as constant power loads in the literature. In this letter, we propose two simple methods to approximate these static loads with good accuracy. The proposed methods perform much better than the traditional constant power approximation.

Journal article

Kumar CS, Rajawat K, Chakrabarti S, Pal BCet al., 2020, Robust distribution system state estimation with hybrid measurements, IET Generation, Transmission and Distribution, Vol: 14, Pages: 3250-3259, ISSN: 1350-2360

With growing connection of distributed energy resources, availability of demand side response technologies, deployment of smart meters, the distribution system needs advanced network automation for running the system efficiently. State estimation is the core driver of network automation. While the output from SMs will make the state estimation more accurate, advanced metering infrastructures come with several challenges such as noisy, erroneous measurement including lost or missed measurements, exposure to cyber attack and so on. This study proposes a three-phase unbalanced distribution system state estimation which is robust against noisy distribution system measurements, bad data attacks and missing or delayed measurements. This method considers measurement from hybrid sources such as SCADA, micro-phasor measurement units (μμPMUs) and SMs. Kalman smoother is used to fill the missing measurements and expectation-maximisation based forecasting is used to interpolate the hybrid measurements to a common timestamp and compensate for the delay in SM measurements. Extensive numerical comparisons are made on IEEE 13, 37 and 123 bus systems to test the robustness of the proposed DSSE against delayed SM measurements and bad or noisy data. An IEEE 24 bus system is modelled and real-time measurement devices are interfaced to it in Hypersim. The data from the hybrid measurement devices of IIT Kanpur smart grid is also used to test the robustness of the proposed method.

Journal article

Gupta Y, Doolla S, Chatterjee K, Pal BCet al., 2020, Optimal DG allocation and volt–var dispatch for a droop based microgrid, IEEE Transactions on Smart Grid, Vol: 12, Pages: 169-181, ISSN: 1949-3053

Unequal reactive power sharing amongst distributed generators (DG) is a significant concern while operating a droop based microgrid. The reasons for this unequal reactive power sharing include the difference in feeder impedances, uneven distribution of loads and DGs in terms of size and locations. In this paper, a mixed-integer linear programming (MILP) problem applicable for a droop based microgrid has been proposed to achieve proportional reactive power sharing amongst DGs while maintaining very low line losses. Firstly, the optimal sizing and placement of DGs are investigated. This includes a detailed discussion on the linearisation of various nonlinear terms involved in the formulation. Subsequently, a day–ahead dispatch is generated for these DGs for a given load profile. Additionally, network reconfiguration has been incorporated for further improvement in performance. The effect of considering a practical constant impedance-current-power (ZIP) load model, instead of simply considering constant impedance loads, has also been assessed. The proposed formulation has been tested on a 33 bus network which has been modified to represent an islanded microgrid. The results obtained validate the accuracy of the proposed planning and dispatch method and demonstrate its utility in achieving proportional reactive power sharing amongst the DGs while incurring very low line losses.

Journal article

Nsengiyaremye J, Pal BC, Begovic MM, 2020, Microgrid protection using low-cost communication systems, IEEE Transactions on Power Delivery, Vol: 35, Pages: 2011-2020, ISSN: 0885-8977

Power electronics interface of renewable energy to system is now the trend in both transmission and distribution segments of power network. Unlike synchronous generators, the fault feeding and control characteristic of these renewable generators are different and mostly influenced by the topology, switching, and control deployed in power electronics interface. So, the network protection design and operational requirements are now challenged in the absence of large fault current. Although the differential current principle still works, its implementation is limited by the significant cost associated to its communication system. This paper proposes a differential line protection scheme based on local fault detection and comparing binary state outputs of relays at both ends of the line thus requiring a simple, flexible and low bandwidth communication system. The performance of the proposed scheme is assessed through simulation of an example system with several scenarios.

Journal article

Merritt NR, Chakraborty C, Bajpai P, Pal BCet al., 2020, A unified control structure for grid connected and islanded mode of operation of voltage source converter based distributed generation units under unbalanced and non-linear conditions, IEEE Transactions on Power Delivery, Vol: 35, Pages: 1758-1768, ISSN: 0885-8977

This manuscript develops a unified control structure for Distributed Generation (DG) units based on Voltage Source Converters considering unbalanced and non-linear operating conditions. This control structure works for both the Islanded and the Grid-connected modes of operation of the Micro-Grid (MG). The objective of this control scheme is to regulate the line currents of the DG unit in such a manner that the voltage at the Point of Common Coupling (PCC) remains balanced despite the line currents of the DG unit being unbalanced and distorted. Multiple adaptive P-R controllers have been proposed for the current control loop of the Voltage Source Converter (VSC). These controllers have been implemented with resettable integrators so as to limit the DC components in the post fault current of the VSC. The Battery Energy Storage System (BESS) is interfaced to the DC link of the VSC through bi-directional dc-dc converters. An improved control structure for the bi-directional dc-dc converter has been developed. The effectiveness of these control structures have been presented and tested in PSCAD/EMTDC in an IEEE 34 node distribution system model being fed by two identical DG units.

Journal article

X H, Hua G R L, Pal BC, 2020, Transient stability analysis and enhancement of renewable energy conversion system during LVRT, IEEE Transactions on Sustainable Energy, Vol: 11, Pages: 1612-1623, ISSN: 1949-3029

Grid-connected renewable energy conversion systems (RECSs) are usually required by grid codes to possess the low voltage ride through (LVRT) and reactive power support capabilities so as to cope with grid voltage sags. During LVRT, RECS's terminal voltage becomes sensitive and changeable with its output current, which brings a great challenge for the RECS to resynchronize with the grid by means of phase-locked loops (PLLs). This paper indicates that loss of synchronism (LOS) of PLLs is responsible for the transient instability of grid-connected RECSs during LVRT, and the LOS is essentially due to the transient interaction between the PLL and the weak terminal voltage. For achieving a quantitative analysis, an equivalent swing equation model is developed to describe the transient interaction. Based on the model, the transient instability mechanism of RECSs during LVRT is clarified. Furthermore, a transient stability enhancement method is proposed to avoid the possibility of transient instability. Simulations performed on the New England 39-bus test system verify the effectiveness of the method.

Journal article

Pal B, 2020, Successful publications: where the best intentions of all meet [Leader's Corner], IEEE Power and Energy Magazine, Vol: 18, Pages: 12-16, ISSN: 1540-7977

Reports on the Open Access (OA) initiative and efforts by IEEE to launch OA publications.

Journal article

Nazir FU, Pal BC, Jabr RA, 2020, Distributed solution of stochastic volt/VAr control in radial networks, IEEE Transactions on Smart Grid, Vol: 11, Pages: 5314-5324, ISSN: 1949-3053

This paper presents a fully distributed algorithm for the stochastic Volt/VAr control (VVC) problem in active distribution networks. Exact convexification of the VVC problem is achieved through the use of second-order cones on the continuous relaxation of the original optimization structure. The global optimum solution of the relaxed problem is obtained through the application of the alternating direction method of multipliers (ADMM). In order to minimize the effect of rounding off on the final solution, an adaptive threshold discretization technique is used. A two-stage control strategy is adopted where the discrete controllers, like load tap changers and switched capacitors, are dispatched at the beginning of the optimization interval and the continuous controllers, like distributed generation (DG) inverters, are adjusted in real time according to an optimized decision rule. The superiority of the proposed algorithm is demonstrated through numerical simulations on the UKGDS-95 and the IEEE-123 bus systems.

Journal article

Nduka O, Yu YUE, Pal BC, Okafor ENCet al., 2020, A robust augmented nodal analysis approach to distribution network solution, IEEE Transactions on Smart Grid, Vol: 11, Pages: 2140-2150, ISSN: 1949-3053

The ambition to decarbonize the source of energy for heat and transport sector through electricity from renewable energy has led to significant challenge in the way power distribution networks (DNs) are planned, designed and operated. Traditionally, DN was put in place to support the demand passively. Now with renewable generation, storage and demand side management through automation, provision of network support services have transformed the character of the DNs. Active management of the DN requires fast power flow analysis, state estimation, reactive power support etc. This paper proposes a method of power flow analysis which incorporates the challenges of distributed generator (DG) characteristics, demand side management and voltage support. The proposed approach reformulated the Jacobian matrix of the well-known modified augmented nodal analysis (MANA) method; thus, improving the robustness and solvability of the formulation. Reactive powers of the DGs, node voltages and currents of ‘non-constitutive’ elements were the chosen state variables. The performance of this method is compared with the MANA. Results are discussed and the effectiveness of the proposed approach is demonstrated with two example case studies.

Journal article

Ul-Nazir F, Kumar N, Pal BC, Singh B, Panigrahi BKet al., 2020, Enhanced SOGI controller for weak grid integrated solar PV system, IEEE Transactions on Energy Conversion, Vol: 35, Pages: 1208-1217, ISSN: 0885-8969

This paper presents a two-stage three-phase solar photovoltaic (PV) system, which is controlled through a novel enhanced second order generalized integrator (ESOGI) based control technique. The proposed ESOGI is used for fundamental component extraction from nonlinear load current and distorted grid voltages. The proposed integrator effectively and simultaneously manages to address the DC offset, inter-harmonic and integrator delay problems of the traditional SOGI. In addition, the proposed control technique provides power factor correction, harmonic elimination, and load balancing functionalities. The ESOGI controller is used to generate reference grid currents for controlling the voltage source converter (VSC), interfacing the PV panel with the grid. Extensive simulation and experimental results, on a developed prototype in the laboratory, depict that the total harmonic distortion (THD) of the grid injected currents and voltages are found well under IEEE-519 standard.

Journal article

Batzelis EI, Anagnostou G, Chakraborty C, Pal BCet al., 2020, Computation of the lambert W function in photovoltaic modeling, Electrimacs 2019, Publisher: Springer International Publishing, Pages: 583-595, ISSN: 1876-1100

Recently, the Lambert W function has emerged as a valuable mathematical tool in photovoltaic (PV) modeling and other scientific fields. This increasing interest is because it can be used to reformulate the implicit equations of the single-diode PV model into explicit form. However, the computation of the Lambert W function itself is still not clear in the literature; some studies use the iterative built-in functions in MATLAB or other computational platforms, while others adopt their own approximation formulae. This paper takes a deeper look at the ways the Lambert W function is evaluated in PV models and carries out a comparative study to assess the most commonly used methods in terms of accuracy, computational cost, and application range. These alternatives are implemented in a modern computer and a typical microcontroller to evaluate their performance in both simulations and embedded applications. The analysis concludes that some series expansions are good options for PV modeling applications, requiring less execution time than the built-in MATLAB lambertw function and exhibiting negligible approximation error.

Conference paper

Rois H, Kunjumuhammed LPK, Pal BC, Adamczyk A, Vershinin Ket al., 2020, A trajectory piecewise-linear approach to nonlinear model order reduction of wind farms, IEEE Transactions on Sustainable Energy, Vol: 11, Pages: 894-905, ISSN: 1949-3029

This paper presents a method to develop computationally efficient dynamic model of a wind farm suitable for large disturbance simulation. The method based on a Trajectory Piecewise Linear (TPWL) approximation uses single and multiple training trajectory to develop a nonlinear reduced order model (ROM). Simulation results using a small demonstration wind farm system and a large practical wind farm system are discussed to demonstrate the effectiveness of the model in capturing dynamic behaviour of wind farm following large disturbances.

Journal article

Nduka OS, Kunjumuhammed L, Pal B, Majumdar A, Yu Y, Maiti S, Ahmadi Aet al., 2019, Field trial of coordinated control of PV and energy storage units and analysis of power quality measurements, IEEE Access, Vol: 8, Pages: 1962-1974, ISSN: 2169-3536

Trends support low voltage distribution networks will soon experience significant uptake of customer-owned low-carbon technology (LCT) devices especially rooftop photovoltaics (PVs) and small-scale energy storage (SSES) systems. This paradigm shift will introduce some significant challenges in modern distribution network planning and operations owing to the temporal nature of modern demand.Therefore, it became relevant to investigate the UK low voltage (LV) network operations considering high uptake of PVs and SSESs through both field measurements and desktop studies. The aim was to validatethrough field trials, the flexibility benefits of peak demand reduction and reverse power flow mitigation through smart control of customer-owned SSESs. It was shown that peak demand of up to 60% could beachieved in UK distribution network through the smart control of these devices. In tandem with the demand reduction, the study revealed that type-tested SSES power interface units do not pose significant powerquality risks even for 100% customer penetration.

Journal article

Kumar S, Singh B, Pal BC, Xu L, Al-Durra Aet al., 2019, Energy efficient three-phase utility interactive residential microgrid with Mode transfer capabilities at weak grid conditions, IEEE Transactions on Industry Applications, Vol: 55, Pages: 7082-7091, ISSN: 0093-9994

This article presents an energy efficient autonomous grid-synchronized photovoltaic (PV) array battery energy storage (BES) based microgrid with power quality improving capabilities under weak grid conditions. The microgrid is developed to supply consumer loads even at disappearance of the weak grid. The BES is not only beneficial on daily energy saving but it is also sized to furnish smoothening facilities to the PV-BES microgrid. A pseudolinear synchronization scheme is used, which is based on extraction of fundamental positive sequence components from the polluted grid voltages. The islanded controller furnishes reliability by maintaining the voltage and frequency and continuous power to the consumer load. The multivariance generalized adaptive controller is proposed to control the microgrid and to improve the power quality aspects. The effectiveness of microgrid is demonstrated experimentally with estimation of phase and frequency at grid synchronization and desynchronization with polluted grid conditions.

Journal article

Kunjumuhammed L, Kuenzel S, Pal BC, 2019, Simulation of Power System with Renewables, Publisher: Academic Press, ISBN: 9780128111871

The book presents a step-by-step approach to modelling implementation, including all major components used in current power systems operation, giving the reader the opportunity to learn how to gather models for conventional generators, wind ...


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