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13.4. Mean — Max Membership (Middle of Maxima) 13.3. Weighted Average Method

Figure 13 13.4. Mean — Max Membership (Middle of Maxima) 13.3. Weighted Average Method

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This controller requires the least computation of the three architectures described in this chapter. The controller is simply a rearrangement of the neural network plant model, which is rained offline, in batch form. The only online computation is a forward pass through the neural network controller. The drawback of this method is that the plant must either be in companion form, or be capable of approximation by a companion from model [8]—[13]. The controller, however, requires a significant amount of on-line computation, since an optimization algorithm is performed at each sample time to compute the optimal control input. For the simulation of he two area interconnected power system this NARMA-L2 controller has been introduced for better dynamic responses. 4. MODEL REFERENCE CONTROL
This controller requires the least computation of the three architectures described in this chapter. The controller is simply a rearrangement of the neural network plant model, which is rained offline, in batch form. The only online computation is a forward pass through the neural network controller. The drawback of this method is that the plant must either be in companion form, or be capable of approximation by a companion from model [8]—[13]. The controller, however, requires a significant amount of on-line computation, since an optimization algorithm is performed at each sample time to compute the optimal control input. For the simulation of he two area interconnected power system this NARMA-L2 controller has been introduced for better dynamic responses. 4. MODEL REFERENCE CONTROL
constrain the outputs of a network (such as between 0 and 1), then the output layer should us¢ a sigmoid transfer function (such as logsig) [11]. In Neuron Model and Network Architectures for multiple-layer networks the number of the layers is used to determine the superscript on the weight matrices. This network can be used as a general function approximation as shown ir Fig. 3. It can approximate any function with a finite number of discontinuities, arbitrarily well given sufficient neurons in the hidden layer.
constrain the outputs of a network (such as between 0 and 1), then the output layer should us¢ a sigmoid transfer function (such as logsig) [11]. In Neuron Model and Network Architectures for multiple-layer networks the number of the layers is used to determine the superscript on the weight matrices. This network can be used as a general function approximation as shown ir Fig. 3. It can approximate any function with a finite number of discontinuities, arbitrarily well given sufficient neurons in the hidden layer.
Figure 4 Diagram of Multi Input Neuron Model
Figure 4 Diagram of Multi Input Neuron Model
Figure 6 Height membership function for (a) a crisp set A
Figure 6 Height membership function for (a) a crisp set A
Figure 7 Height membership function for (b) a Fuzzy set H
Figure 7 Height membership function for (b) a Fuzzy set H
NERC’s Approach for Multi-area Deregulated Power System under Different Contract Scenarios
NERC’s Approach for Multi-area Deregulated Power System under Different Contract Scenarios
Piyush Kumar Yadav, Jaya Shukla, Rajnish Bhasker, Satyam Kumar Upadhyay 10. TYPES OF MEMBERSHIP FUNCTION 10.1. Triangular Membership Function
Piyush Kumar Yadav, Jaya Shukla, Rajnish Bhasker, Satyam Kumar Upadhyay 10. TYPES OF MEMBERSHIP FUNCTION 10.1. Triangular Membership Function
Since all information contained in a fuzzy set is described by its membership function, it useful to develop a lexicon of terms to describe various special features of this function. Fc purposes of simplicity, the functions shown in the following figures will all be continuous, bt the terms apply equally for both discrete and continuous fuzzy sets.
Since all information contained in a fuzzy set is described by its membership function, it useful to develop a lexicon of terms to describe various special features of this function. Fc purposes of simplicity, the functions shown in the following figures will all be continuous, bt the terms apply equally for both discrete and continuous fuzzy sets.
NERC’s Approach for Multi-area Deregulated Power System under Different Contract Scenarios
NERC’s Approach for Multi-area Deregulated Power System under Different Contract Scenarios
Figure 12 Max membership defuzzification method
Figure 12 Max membership defuzzification method
Where { denotes an algebraic integration.
Where { denotes an algebraic integration.
13.5. Centre of Sums NERC’s Approach for Multi-area Deregulated Power System under Different Contract Scenarios
13.5. Centre of Sums NERC’s Approach for Multi-area Deregulated Power System under Different Contract Scenarios
13.6. SOM ( Smallest of maximum) Method
13.6. SOM ( Smallest of maximum) Method
14. FUZZY ASSOCIATIVE MEMORIES (FAMS) Piyush Kumar Yadav, Jaya Shukla, Rajnish Bhasker, Satyam Kumar Upadhyay
14. FUZZY ASSOCIATIVE MEMORIES (FAMS) Piyush Kumar Yadav, Jaya Shukla, Rajnish Bhasker, Satyam Kumar Upadhyay
NFIS architecture is a hybrid combination of neuro and fuzzy approaches and it is deemed adaptive network having zero synaptic weight. An Adaptive network having no synapt sight is also called as adaptive and non-adaptive nodes. An adaptive network can easi msform to neural network architecture with classical feed forward topology. The ANF ntroller works like an adaptive network simulator of Takagi—Sugeno type fuzzy controll NFIS controller is functionally equivalent to a fuzzy inference system (FIS) and its operatio > performed under Takagi— Sugeno type fuzzy controller. According to the input/output dé ts, ANFIS adjust the parameters using back propagation gradient descent and least squa oes of method for non-linear and linear parameters respectively. In this article, the ANF ntroller uses the back propagation through time algorithm, which is an advanced adapti ntrol configuration of ANN. The back-propagation technique is an iterative meth yploying the gradient decent algorithm for minimizing the minimum square error between t tual output and the objective for each pattern in the training. The ANFIS system consists > components of a conventional fuzzy system except that computation at every phase tried out by a layer of hidden neurons and the neural network’s learning capacity is offer boost the system knowledge.
NFIS architecture is a hybrid combination of neuro and fuzzy approaches and it is deemed adaptive network having zero synaptic weight. An Adaptive network having no synapt sight is also called as adaptive and non-adaptive nodes. An adaptive network can easi msform to neural network architecture with classical feed forward topology. The ANF ntroller works like an adaptive network simulator of Takagi—Sugeno type fuzzy controll NFIS controller is functionally equivalent to a fuzzy inference system (FIS) and its operatio > performed under Takagi— Sugeno type fuzzy controller. According to the input/output dé ts, ANFIS adjust the parameters using back propagation gradient descent and least squa oes of method for non-linear and linear parameters respectively. In this article, the ANF ntroller uses the back propagation through time algorithm, which is an advanced adapti ntrol configuration of ANN. The back-propagation technique is an iterative meth yploying the gradient decent algorithm for minimizing the minimum square error between t tual output and the objective for each pattern in the training. The ANFIS system consists > components of a conventional fuzzy system except that computation at every phase tried out by a layer of hidden neurons and the neural network’s learning capacity is offer boost the system knowledge.
Figure 18 Dynamic response of the test system under unilateral contract scenario. (a) Frequency deviations in area-1. (b) Frequency deviations in area-2. (c) Frequency deviations in area-3. (d) Frequency deviations in area-4 NERC’s Approach for Multi-area Deregulated Power System under Different Contract Scenarios
Figure 18 Dynamic response of the test system under unilateral contract scenario. (a) Frequency deviations in area-1. (b) Frequency deviations in area-2. (c) Frequency deviations in area-3. (d) Frequency deviations in area-4 NERC’s Approach for Multi-area Deregulated Power System under Different Contract Scenarios
Figure 21 Dynamic response of the test system under unilateral contract scenario. (a) Tie-line power deviations between area-1&2. (b) Tie-line power deviations between area-1&3. (c) Tie-line power deviations between area-2&4. (d) Tie-line power deviations between area-2&3. (e) Tie-line power deviations between area-3&4. Piyush Kumar Yadav, Jaya Shukla, Rajnish Bhasker, Satyam Kumar Upadhyay
Figure 21 Dynamic response of the test system under unilateral contract scenario. (a) Tie-line power deviations between area-1&2. (b) Tie-line power deviations between area-1&3. (c) Tie-line power deviations between area-2&4. (d) Tie-line power deviations between area-2&3. (e) Tie-line power deviations between area-3&4. Piyush Kumar Yadav, Jaya Shukla, Rajnish Bhasker, Satyam Kumar Upadhyay
Figure 22. Excess raise/lower signals of Genco-2 with three different controllers. (a) Speed changer raise/lower signals of GENCO-2 with three different controllers. (b) Excess raise/lower signals of GENCO-?2 of PID controller over NERC standards-based ANFIS controller. (c) Excess raise/lower signals of GENCO-2 of ANFIS controller over NERC standards-based ANFIS controller.
Figure 22. Excess raise/lower signals of Genco-2 with three different controllers. (a) Speed changer raise/lower signals of GENCO-2 with three different controllers. (b) Excess raise/lower signals of GENCO-?2 of PID controller over NERC standards-based ANFIS controller. (c) Excess raise/lower signals of GENCO-2 of ANFIS controller over NERC standards-based ANFIS controller.
Related topics:
Fuzzy ControllerArtificial Neural Network ControllerANFIS Controller
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