2019 International Conference on Computing, Mathematics and Engineering Technologies – iCoMET 2019
Machine Learning In Power Markets
          Bilal Asghar Farooqi                                  Dr. Ali Abbas Kazmi                                     Abdul Kashif Janjua
  U.S.- Pakistan Center for Advanced                     U.S.- Pakistan Center for Advanced                     U.S.- Pakistan Center for Advanced
           Studies in Energy                                      Studies in Energy                                       Studies in Energy
   National University of Science &                       National University of Science &                       National University of Science &
               Technology                                            Technology                                              Technology
          Islamabad, Pakistan                                    Islamabad, Pakistan                                    Islamabad, Pakistan
       bilalasghar@outlook.com                             saakazmi@uspcase.nust.edu.pk                                kjanjua91@gmail.com
    Abstract—Intelligent operational planning ensures supply and               office on no-profit, no-loss and electric cooperatives which are
demand matching in a power system, which is achieved                           governed by members responsible for investing and policy
traditionally by optimization and scheduling of government and                 making [3].Furthermore, concept of power market is widely
private owned non-renewable power plants. Recently,                            adopted throughout the world-which includes a system
encouragement has been extended to local and distributed power
generators, due to uncertainty and long-term variability in
                                                                               operator, buying electricity from a facility on a negotiated
renewable rich system. In the study, machine learning approaches               price and sells electricity to the customer with profit, serving
are proposed in the context of power markets to learn and predict              as an escrow responsible for management of generation,
usage patterns to avoid power deficit. A case study is presented,              transmission , distribution and billing [4].
which includes a solar plant and a wind farm for base load along
with bio-gas plant for peak load. To predict peak load, logistic               Traditionally electric market is large, monopolistic, vertical
regression, a supervised machine learning approach, has been                   and state owned responsible for generation, transmission and
employed to classify the time of engagement, in order to ensure                distribution as shown in Figure-1 [5].
supply and demand balance. Applying logistic regression will result
in reduced operational and economic cost for utility and price for
consumer.
   Keywords—Machine learning, Power Market, Power System,
Renewable Energy Systems
                        I. INTRODUCTION
Electricity being the efficient form of secondary energy
storage is considered a commodity and regarded as a major
source of modern survival. The demand of electricity is
increasing due to increase proliferation of smart devices,
electronic appliances, population and economic growth;
however, achievement of supply-demand balance is still a
critical task. Additionally, sufficient growth of electricity
production could not be witnessed to meet the demand that is
why consumers face load shedding of 8-12 hours a day in
developing countries [1]. To mitigate supply demand
imbalance, modern world is shifting from traditional energy
resources to renewable energy resources. The Danish
Government’s plan to create green growth by shifting power                                          Fig. 1 Traditional Power Market
generation from 100 percent renewable energy resources by                      To increase compliance with the proliferation of renewable
2050 [2]. This transformation inherently brings benefits and                   and distributed generation, increase in competition within the
challenges of complex nature. However, evolution of                            markets is established by deregulation as shown in Figure-2.
restructured power markets around the world making local                       This is achieved by splitting up vertically integrated power
generation feasible and viable. Developed countries are                        producers and privatization of state-owned utilities. To
heavily investing in renewable infrastructure development as                   enhance performance of aforementioned entities, deregulation
well as electric utilities.                                                    is introduced to break natural monopoly in order to establish
                                                                               competition within the market. However, consumer-end
Electric utilities include investor own faculties governed by                  deregulation is achieved by introducing competition to reduce
Power Purchase Agreement between investor and controller,                      power cost for customers.
public power system or municipalities governed by public
                                                  978-1-5386-9509-8/19/$31.00 ©2019 IEEE
 Authorized licensed use limited to: INTERNATIONAL ISLAMIC UNIVERSITY. Downloaded on July 29,2020 at 09:57:11 UTC from IEEE Xplore. Restrictions apply.
Supply-demand balance is achieved by establishing wholesale                    Artificial intelligence (AI) and machine learning are poised to
and retail markets where customer get the least price and                      revolutionize the way utilities produce, transmit and consume
supplier get maximum profit as shown in Figure-3 [6].                          energy by powering the modern smart grid.AI can help cutting
Moreover, markets use either day ahead or intraday trading                     consumer bills and managing power generation. Global
and price clearing mechanisms, which can be achieved via                       demand of low-carbon, green electricity with low cost is
                                                                               increasing and AI applications are increasingly being used to
                                                                               meet this demand with potentially huge long-term impact [11].
                                                                               Machine learning is a field of artificial intelligence that uses
                                                                               statistical techniques to give computer systems the ability to
                                                                               learn from data without being explicitly programmed [12].
                                                                                Advanced computational enhancements have enabled us to
                                                                               use multiple machine learning techniques to exploit the
                                                                               already available data in day ahead auction archives. Support
                                                                               Vector Machine (SVM) is a machine learning technique that
                                                                               maps inputs to a feature space and then the predicted outcome
                                                                               is calculated as a linear function in the new feature space.
                                                                               Energy demand management is performed by using
                   Fig. 2 Before and after deregulation
                                                                               reinforcement learning, a machine learning technique that
                                                                               recognizes consumption pattern of each consumer via ranking
decentralized auctioning. Usually real-time trading is used as
                                                                               to increase energy savings on the basis of variable market
kind of balancing mechanism to adjust the predetermined
                                                                               prices. It is worth mentioning that no historical data is required
quantities of the day-ahead forecasting [7].
                                                                               and algorithms will be able to navigate and detect optimal
                                                                               action in real time [13]. Regression is one of the most
                                                                               renowned technique for such operation which considers both
                                                                               linear and nonlinear effects by analyzing the effects of energy
                                                                               consumption. It provides better empirical model and these
                                                                               types of models are widely used for demand forecasting for
                                                                               medium to long-term time period [14-15].
                                                                                In this study, supervised machine learning approach i.e.
                                                                               logistic regression is used to meet supply demand balance via
                                                                               scheduling and engaging a new utility whenever required to
                                                                               achieve non-intermittency by predicting the possibility of
                                                                               load-shedding.
                                                                                                     II. LITERATURE REVIEW
                                                                               Contrary to conventional grids, better solutions are provided
       Fig. 3 Restructured retail and wholesale power markets
                                                                               by smart grid for outage losses, power quality degradation by
                                                                               providing reliable, highly sustainable and environmentally
European Union (EU) electricity system comprises of
                                                                               friendly power system. Special attributes for smart grid are
electricity suppliers, consumers, transmission system operators
                                                                               self-healing for power disturbance events, accommodation of
(TSO), and distribution network operators (DSO). The role of
                                                                               Distributed Generation (DG), promotion of active
system operators (SO) is to forecast day ahead demand,
                                                                               participation by consumers in Demand Response (DR),
schedule generation, share schedules with other operators
                                                                               protection from both cyber and physical attacks and
connected in a system and finally adjust generation and
                                                                               environment friendliness [16]. According to European
transmission resources in real time by fixing grid parameters
                                                                               Commission (EC) report, the smart grid must be, reliable,
to avoid or restore electric power if there is an outage [8].
                                                                               economical, accessible, and flexible [17].
Incorporating huge amount of DERs is causing intermittency
and complexity in power flows and financial management.
                                                                                In decentralized system, local communities are arranged in
Adoption of decentralized market approaches like blockchain
                                                                               microgrids in which energy generation, transmission,
can also help reducing complexity of monetary transactions.
                                                                               distribution and even storage can be strategically used to
Moreover, supply demand balance can be achieved via
                                                                               balance load and demand spikes [18]. A microgrid is a group
distributed load control, demand side management and state of
                                                                               of interconnected loads and distributed energy resources
the art transactive energy techniques [9-10].
                                                                               within clearly defined electrical boundaries that acts as a
                                                                               single controllable entity with respect to the grid [19].
 Authorized licensed use limited to: INTERNATIONAL ISLAMIC UNIVERSITY. Downloaded on July 29,2020 at 09:57:11 UTC from IEEE Xplore. Restrictions apply.
Different electricity sources and different control strategies are             theory. [41] gives a comparison of various time-series
the difference between microgrid and conventional grid in                      modeling approaches for forecasting of spot electricity prices.
power market. However, the main distinction among them is                      [42] compares the linear and non-linear time-series models for
different participants and different purpose of introducing                    forecasting of electricity prices for California electricity
electricity markets [20]. Energy trading market is flexible as                 market. [43] describes approaches to model the electricity
the change of energy price in real time pricing environment is                 prices.
due to changing operational parameters. Commonly used                          In literature, focus is on forecasting and pricing but
energy pricing schemes are Real Time Pricing (RTP), Time-                      classification of scenarios for predictive analysis is not widely
Of-Use (TOU) pricing, Peak Rebate Pricing (PRP), Critical                      discussed. Thus, logistic regression, a classification-based
Peak Pricing (CPP), and Day ahead (DA) pricing. The                            machine learning algorithm will forecast the need for a new
ultimate goal of power markets is to achieve supply-demand                     generation by predicting increase in demand in a day ahead
balance as well as maximization of benefits for all. Therefore,                market [44]. It will help utilities predicting the demand from
machine learning approaches are studied to forecast the                        consumers in days, weeks, and months to ensure availability
predicted load and consumer behavior to pre-plan the                           of sufficient generation from power resources. Hence, no need
generation (renewable or non-renewables) based on the price,                   of demand side management or transactive energy where
location, efficiency, need and stability of the power system                   consumers were engaged to vary their consumption pattern
[21].                                                                          [45].
Under-estimation and over-estimation are problems with                                                   III. CASE STUDY
linear system estimation. Modern and powerful techniques are                   Several machine learning and Artificial Intelligence (AI)
adopted by researchers to develop better load-flow models                      approaches are used for prediction, pricing, and forecasting. In
[22]. Such techniques come from both statistical and Artificial                the present research, logistic regression has been employed as
Intelligence (AI) domains. The statistical category includes                   a classification technique. A solar plant, a wind farm and a
time series [23], regression-based method [24], radial basis                   bio-gas plant located at National University of Science &
functions [25], and support vector regression (SVR) [26].                      Technology (NUST), Pakistan were taken as case study.
                                                                               Generation facilities apart from aforementioned renewable
In time series analysis, the modeling approach involves -                      energy resources are taken to be as constant and data set for
identification, estimation and validation. This approach is                    load has been utilized as a demand of center of advance
useful for applying any information available for the future to                studies (CES) at NUST to predict future requirement of
the models that are trained on past data. Whereas, AI methods                  standby plant engagement in a particular timeslot. CES is a
include expert systems and artificial neural networks (ANN)                    research center where research activities are carried out
[27-28]. SVM is a statistical tool for classification and                      between 8am to 6pm with flexible schedule of researchers
regression [29]. It has greater ability of generalization and to               unlike typical educational institute, office or residential
avoid over-fit to data. Non-linear systems are usually                         customers. Research experiments are always running in state-
estimated by Neural networks [30]. Traditional learning                        of-the-art research labs at the center as power shortage cannot
methods face non-convexity and overfitting. However, ANN                       be tolerated and uninterrupted power supply is necessary for
is known to suffer the slow convergence and trap into local                    all time slots. Considering power crises, renewables are
minimum problems due to its gradient descent (GD) based                        inducted into the system but they are not consistent in their
learning process. Support Vector Machine (SVM) overcomes                       production so multiple sources are connected to meet supply
this by providing globally optimum solution to the non-linear                  demand balance. As seen in Figure-4, the vertical side shows
estimation problem. Similarly, finding the best parameters for                 generation in KWh power output from both facilities and
SVM is another issue which is addressed by novel                               horizontal side shows hourly data from 8am to 6pm of 5
optimization techniques [31-32]. [33] presents the concept of                  working days for 02 consecutive weeks from September
Least Square Support Vector Machines (LSSVM) that are                          3,2017 to September 14,2017 (100 Hours). Solar plant and
computationally easier to implement than Support Vector                        Wind farm serve as base load. However, bio-gas plant is for
Machines (SVM). [34] presents a new learning algorithm for                     peak load. The categorical result of logistic regression will
single layer feedforward neural networks called extreme                        depict the instance when the generation is less than demand
learning machine (ELM). [35] proposes to bring the ELM                         and load shedding probability is maximum. Logistic
framework in the SVM by denying a new kernel called as                         regression will predict time for engagement of new plant to
ELM kernel. [36] proposes a learning algorithm in which the                    avoid power loss, economic loss, customer unhappiness and
feature space is explicitly defined using a SLFN. [37] gives a                 operator mis-management. Goal of the research is non-
method to apply the SVM theory to train multilayer                             intermittent power supply with no interruption at any point.
perceptron. [38] gives the optimization based Extreme                          That said, logistic regression helps managing supply demand
Learning Machine which has less optimization constraints                       balance, customer satisfaction, establishing operator reputation
than the SVM. [39] give a unified ELM for regression and                       and profit maximization along with non-intermittent power
classification. [40] provides a load model for Short Term Load                 utilization.
Forecasting (STLF) based on non-linear system identification
 Authorized licensed use limited to: INTERNATIONAL ISLAMIC UNIVERSITY. Downloaded on July 29,2020 at 09:57:11 UTC from IEEE Xplore. Restrictions apply.
                                                                               In logistic regression, sigmoid function is taken as hypothesis
                                                                               and Gradient Decent minimizes the cost function to attain
                                                                               acceptable decision boundary as shown in Figure-6.
                Fig. 4 Combined generation for 100 Hours
                 IV. SIMULATION & RESULTS
Simulations were completed by a PC with Intel core-i5
CPU@2.1 GHz with 4gb RAM on MATLAB 2017a.Logistic
regression predicts the probability of an outcome that can only
have two values. Classification can be binary class or
multiclass depending on the classifier. The prediction is based
on the use of one or several predictors. A linear regression is
not appropriate for predicting the value of a binary variable.
Whereas a logistic regression produces a logistic curve, which
is limited to values between 0 and 1. Moreover, the predictors                       Fig. 6 Decision boundary at minimum cost function
do not have to be normally distributed or have equal variance
in each group. Logistic regression is applicable, for example,                 Decision boundary in Figure-6 is a perfect fit only for the data
if we want to model the probabilities of a response variable as                set of case study discussed in the present study. On left side of
a function of some explanatory variables, e.g. "success" of                    the decision boundary, red circle data points clearly show the
admission as a function of gender or we want to classify                       load shedding probability while the black plus data points on
individuals into two categories based on explanatory variables,                the right side of the decision boundary shows no load
e.g. classify new students into "admitted" or "rejected" group                 shedding probability. It is worth mentioning that some red
depending on their gender [46]. Our simulation is analogous                    points are on the right side and some black points are on the
with the latter case, which involves classification on the basis               left side. These points are outliers and explains the concept
of generation and load shedding data. In simulations, we used                  that the proposed algorithm is not a perfect fit rather it is a best
binary classification to predict the output. After initialization              fit decision boundary on the given training data set. This
of code, fetched historical data of generation x and generation                simulation helps in prediction of load shedding by taking
y plotted as generation facility-1 on x-axis and generation                    necessary measures in day ahead market e.g. at particular
facility-2 on y-axis is shown in Figure-5.                                     instant when anticipated generation fall less than the demand,
                                                                               action will be taken to engage new facility to meet demand-
                                                                               supply balance. In actual, decision is to be taken in real time
                                                                               based on available generation and achievement of this task is
                                                                               done via a new algorithm.
                                                                               Algorithm for Engaging New Facility
                                                                               Step-0: Run Logistic Regression
                                                                               Step-1: Iterate through loop-1 for generation-1 starting from 1
                                                                               hour to 100 hours with 1-hour gap
                                                                               Step-2: Iterate through loop-2 within existing loop for
                                                                               generation-2 starting from 0 hour to 100 hours with 1-hour
                                                                               gap
                                                                               Step-3: Predict ‘No load shedding’ probability (P), where P is
                                                                               a sigmoid function with 3*3 input matrix and take input values
                                                                               of optimal theta from logistic regression and generation data
                                                                               from both facilities
           Fig. 5 Combined generation from both facilities
                                                                               Step-4: Predict ‘Load shedding’ probability (1-P)
 Authorized licensed use limited to: INTERNATIONAL ISLAMIC UNIVERSITY. Downloaded on July 29,2020 at 09:57:11 UTC from IEEE Xplore. Restrictions apply.
Step-5: Set threshold for measuring algorithm                                                                  REFERENCES
Step-6: If 1-P is greater than threshold, '‘Engage New                         [1]    G. D. Valasai, M. A. Uqaili, H. R. Memon, S. R. Samoo, N. H. Mirjat,
Facility’’ otherwise move to next iteration                                           and K. Harijan,” Overcoming electricity crisis in Pakistan: A review of
                                                                                      sustainable electricity options,” Renewable and Sustainable Energy
                                                                                      Reviews, vol. 72, pp. 734-745, 2017.
Proposed algorithm will predict possible need of engaging a
                                                                               [2]    http://www.buildup.eu/en/news/securing-denmarks-energy-future
new facility depending on the threshold set by the operator.
                                                                               [3]    https://www.coursera.org/lecture/electric-utilities/2-3-utility-types-and-
This will open up new dimensions to operator’s management                             prices-overview-public-power-and-electric-cooperatives-WV3GN
strategy which might result in incentives for customers to                     [4]    http://www2.econ.iastate.edu/tesfatsi/ElectricPowerMarketDesign.TESH
reduce demand to save cost. However, if the predicted demand                          andbookChapter.LTesfatsion.pdf
is still high, smart contracts might be drafted to save time,                  [5]    Nguyen, Hieu Trung; Battula, Swathi; Takkala, Rohit Reddy; Wang,
improve efficiency and increase output with maximum                                   Zhaoyu; and Tesfatsion, Leigh, "Transactive Energy Design for
                                                                                      Integrated Transmission and Distribution Systems" (2018). Economics
utilization of all resources.                                                         Working Papers: Department of Economics, Iowa State University.
                                                                                      18004.
              V. CONCLUSIONS & FUTURE WORK
                                                                               [6]    Mayer, K., & Trück, S. (2018). Electricity markets around the
Precision is acknowledged as the most efficient performance                           world. Journal of Commodity Markets, 9, 77-100.
measurement       matrix     for   regression    analysis-based                [7]    Dynamic Pricing for Decentralized Energy Trading in Micro-grids. /
classification. All these metrics may be obtained from                                Liu, Youbo; Zuo, Kunyu; Liu, Xueqin; Liu, Junyong ; Kennedy, Jason
                                                                                      .In: Applied Energy, Vol. 228, 06.07.2018, p. 689.
confusion matrix. Precision is represented as the number of
                                                                               [8]    http://www.europarl.europa.eu/RegData/etudes/BRIE/2016/593519/EPR
correct examples divided by the number of all the examples                            S_BRI(2016)593519_EN.pdf
labeled by the classifier. Recall is the number of examples                    [9]    L. Xue, Y. Teng, Z. Zhang, J. Li, K. Wang and Q. Huang, "Blockchain
correctly classified divided by the number of all the examples                        technology for electricity market in microgrid," 2017 2nd International
in the data [47]. We checked the correctness of the proposed                          Conference on Power and Renewable Energy (ICPRE), Chengdu, 2017,
                                                                                      pp. 704-708.
algorithm by taking hourly data from CES, NUST from 8am
                                                                               [10]   Chen S, Liu C-C (2017) From demand response to transactive energy:
to 6pm of 5 working days for 2 consecutive weeks of                                   state of the art. J Mod Power Syst Clean Energy 5(1):10–19
July,2018 (100 Hours). Precision turned out to be 60% and                      [11]    https://www.raconteur.net/technology/giving-power-to-the-people-with-
recall 40 % subsequently. Often, there is an inverse                                  ai-tech
relationship between precision and recall, where it is possible                [12]   https://www.expertsystem.com/machine-learning-definition/
to increase one at the cost of reducing the other. This case                   [13]    http://www.greatachievements.org/
study provides an illustrative example of the tradeoff.                        [14]   M. A. Badri, A. Al-Mutawa, D. Davis, and D. Davis,” EDSSF: A
Consider an operator tasked with performing load shedding.                            decision support system (DSS) for electricity peak-load forecasting,”
The operator may be more liberal to perform load shedding.                            Energy, vol. 22, no. 6, pp. 579-589, 1997.
This decision increases recall but reduces precision.                          [15]   H. Farahbakhsh, V. Ugursal, and A. Fung,” A residential end use energy
                                                                                      consumption model for Canada,” International Journal of Energy
Conversely, the operator may be more conservative to perform                          Research, vol. 22, no. 13, pp. 1133-1143, 1998.
load shedding. This decision increases precision but reduces                   [16]   M. Alizadeh, L.Xiao ,W.Zhifang ,A.Scaglione ,and R.Melton, “Demand-
recall. Hence, greater recall increases the chances of load                           Side anagement in the Smart Grid :Information Processing for the
shedding (negative outcome) and increases the chances of                              PowerSwitch,” IEEE Signal Processing Magazine, vol.29,no.5,pp.55–
uninterrupted power (positive outcome). Conclusively, Greater                         67,Sep.2012.
precision decreases the chances of load shedding which leads                   [17]   T.H. MouftahandM.E.Kantarci,“Wireless Sensor Networks for Cost-
                                                                                      Efficient Residential Energy Management in the Smart Grid,” IEEE
to customer satisfaction and improved quality of life.                                Transactions on Smart Grid, vol.2,no.2,pp.314–325,Jun.2011.
          Classification performed via logistic regression will                [18]    Farrokh A Rahimi and Ali. 2012. Transactive energy techniques:
help in pre-planning and scheduling of new facility                                   closing the gap between wholesale and retail markets. The Electricity
engagement beforehand. In this way, operational cost would                            Journal 25, 8 (2012),29–35.
be reduced and incentive schemes might be offered to                           [19]    Xuesong Zhou, Tie Guo, Youjie Ma, “An overview on microgrid
                                                                                      technology”, 2015 IEEE International Conference on Mechatronics and
customers to meet supply-demand balance by using demand                               Automation (ICMA), IEEE Conference Publications, 2015, pp.
side management or via implementation of a novel demand                               76 – 81, doi: 10.1109/ICM A.2015.7237460
framework. To predict expected increase in demand resulting                    [20]   L. Xue, Y. Teng, Z. Zhang, J. Li, K. Wang and Q. Huang, "Blockchain
in increased customer satisfaction proposed algorithm can be                          technology for electricity market in microgrid," 2017 2nd International
tested on expanded data set. Our case study is limited to a                           Conference on Power and Renewable Energy (ICPRE), Chengdu, 2017,
specific site; however, it provides a proof of concept. To                            pp. 704-708.
increase efficiency and performance, machine learning                          [21]    Muhammad Asghar Khan,CIIT/FA12-REE-030/ISB,MS Thesis In
                                                                                      Electrical Engineering COMSATS Institute of Information Technology
approaches can be utilized at every level of electric power                           Islamabad – Pakistan Spring, 2014.
market to establish standardization. From the introduction of                  [22]    Suganthi, L., Samuel, A.A. Energy models for demand forecasting—A
competition within the decentralized market, players will be                          review. Renewable and Sustainable Energy Reviews 16: 1223 -1240
encouraged to test all machine learning algorithms on their                           (2002).
data set to find out which learning algorithm gives optimal                    [23]   Amjady, N. Short-term hourly load forecasting using time-series
                                                                                      modeling with peak load estimation capability. Power Systems, IEEE
results for performance maximization.                                                 Transactions on 16:498–505 (2001).
 Authorized licensed use limited to: INTERNATIONAL ISLAMIC UNIVERSITY. Downloaded on July 29,2020 at 09:57:11 UTC from IEEE Xplore. Restrictions apply.
[24] Charytoniuk, W., Chen, M.S., Van Olinda, P. Nonparametric regression       [36] Qiuge Liu, Qing He, and Zhongzhi Shi. Extreme support vector
     based short-term load forecasting. IEEE Transactions on Power Systems           machine classifier. PAKDD, pages 222{233, 2008.
     13:725–730 (1998).                                                         [37] J. A. K. Suykens and J. Vandewalle. Training multilayer perceptron
[25] Xia, C., Wang, J., McMenemy, K. Short, medium- and long-term load               classifiers based on a modified support vector method. IEEE
     forecasting model and virtual load forecaster based on radial basis             transactions on Neural Networks, 10:907{911, 1999.
     function neural networks. International Journal of Electrical Power &      [38] Guang-Bin Huang, Xiaojian Ding, and Hongming Zhou. Optimization
     Energy Systems 32:743 –750 (2010).                                              method based extreme learning machine for classification. Neurocom-
[26] Elattar, E.E., Goulermas, J., Wu, Q.H. Electric Load Forecasting Based          puting, 74, December 2010.
     on Locally Weighted Support Vector Regression. Systems, Man, and           [39] Guang-Bin Huang, Xiaojian Ding, Hongming Zhou, and Rui Zhang.
     Cybernetics, Part C: Applications and Reviews, IEEE Transactions on             Extreme learning machine for regression and multiclass classification.
     40:438–447 (2010).                                                              IEEE transactions on systems, man and cybernetics, 42(2), April 2012.
[27] Liao, S.-H. Expert system methodologies and applications—a decade          [40] Marcelo Espinoza, J. A. K. Suykens, Ronnie Belmans, and Bart
     review from 1995 to 2004. Expert Systems with Applications 28:93 –              Demoor. Electric load forecasting. IEEE Control Systems
     103 (2005).                                                                     Magazine,27:43{57, 2007.
[28] Amjady, N., Keynia, F. A New Neural Network Approach to Short              [41] Rafal Weron and Adam Misiorek. Forecasting spot electricity prices: A
     Term Load Forecasting of Electrical Power Systems. Energies 4:488–              comparison of parametric and semiparametric time series models.
     503 (2011).                                                                     MPRA, (10428), 2008.
[29] Vapnik, V.N. The nature of statistical learning theory. Springer-Verlag    [42] Adam Misiorek, Stefan Trueck, and Rafal Weron. Point and interval
     New York, Inc., New York,NY, USA (1995).                                        forecasting of spot electricity prices: Linear vs. non-linear time series
[30] Jakkula, V. Tutorial on Support Vector Machine (SVM) (2006).                    models. Studies in Nonlinear Dynamics and Econometrics, 10, 2006.
[31] Haykin, S. Neural Networks: A Comprehensive Foundation, Prentice           [43] Dr. Aurelio Fetz. Fundamental aspects of power markets - price
     Hall International Editions Series. Prentice Hall (1999).                       forecasting. Part of Strommarkt-II lectures at ETH Zurich, Spring 2012,
[32] Sra, S., Nowozin, S., Wright, S.J. Optimization for Machine Learning.           29 February 2012.
     MIT Press (2011).                                                          [44] https://www.coursera.org/learn/machine-learning/supplement/EYX8
[33] J. A. K. Suykens, T. Van Gestel, J. de Brabanter, B. De Moor, and J.            /lecture-slides
     Vandewalle. Least Square Support Vector Machines. World Scientific         [45] Chen S, Liu C-C (2017) From demand response to transactive energy:
     Publishing Co. Pte. Ltd., 2002.                                                 state of the art. J Mod Power Syst Clean Energy 5(1):10–19.
[34] Guang-Bin Huang, Qin-Yu Zhu, and Chee-Kheong Siew. Extreme                 [46] https://onlinecourses.science.psu.edu/stat504/node/150/
     learning machine: Theory and applications. Neurocomputing,                 [47] Tomin N.V., Kurbatsky V.G., Sidorov D.N., Zhukov A.V.IFAC-
     70(13):489 501, 2006.                                                           PapersOnLine. Vol.49. No.27. P.445-450.
[35] Benoit Frenay and Michel Verleysen. Using SVMS with randomized
     feature spaces: an extreme learning approach. In ESANN 2010
     proceedings, European Symposium on Artificial Neural Networks-
     Computational Intelligence and Machine Learning., April 2010.
  Authorized licensed use limited to: INTERNATIONAL ISLAMIC UNIVERSITY. Downloaded on July 29,2020 at 09:57:11 UTC from IEEE Xplore. Restrictions apply.