adding tordoidal simulator and drawing

README_WEBAPP.md

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+# Transformer Optimizer Web App
+
+A Flask-based web application for optimizing transformer designs and running manual simulations.
+
+## Pages
+
+### 1. Optimizer (http://localhost:5000/)
+Automatically finds the best tap configuration and input voltage to maximize efficiency.
+
+### 2. Manual Simulation (http://localhost:5000/manual)
+Directly specify tap settings and input voltage to see performance results.
+
+## Features
+
+### Optimizer Page
+- **Interactive Sliders** for all parameters:
+  - Load resistance (5Ω to 10kΩ)
+  - Target power output (1W to 100W)
+  - Operating frequency (100Hz to 50kHz)
+  - Core loss (0W to 5W)
+  - Maximum flux density (0.05T to 0.5T)
+  - Maximum secondary voltage (10V to 500V)
+  - Input voltage range (min/max)
+
+- **Real-time Optimization** using the transformer optimizer
+
+### Manual Simulation Page
+- **Tap Selection**: Choose primary and secondary taps from dropdowns
+- **Input Parameters**: Set input voltage and frequency with sliders
+- **Load Conditions**: Configure load resistance and core loss
+
+### Both Pages Display:
+- Efficiency (color-coded: green >90%, yellow >80%, red <80%)
+- Tap selections with turn counts
+- All voltages and currents
+- Separate copper losses for primary and secondary
+- Flux density and turns ratio
+- Input and output power
+
+## Installation
+
+1. Install dependencies:
+```bash
+pip install -r requirements.txt
+```
+
+## Running the App
+
+```bash
+python app.py
+```
+
+Then open your browser to: http://localhost:5000
+
+## Configuration
+
+Edit `app.py` and modify the `get_default_transformer()` function to match your transformer specifications:
+- Tap positions
+- Core area
+- Turn counts
+- Resistance per turn for each segment
+
+## API Endpoints
+
+- `GET /` - Optimizer page
+- `GET /manual` - Manual simulation page
+- `POST /api/optimize` - Run optimization with parameters
+- `POST /api/simulate` - Run manual simulation
+- `GET /api/transformer_info` - Get transformer configuration
+
+## Usage
+
+### Optimizer Mode
+1. Adjust sliders to set your desired operating conditions
+2. Click "⚡ Optimize Transformer"
+3. View the optimized configuration and performance metrics
+4. The optimizer will find the best tap combination and input voltage to maximize efficiency while meeting your constraints
+
+### Manual Simulation Mode
+1. Select primary and secondary taps from dropdowns
+2. Adjust input voltage, frequency, load, and core loss with sliders
+3. Click "▶️ Run Simulation"
+4. View the performance results for your specified configuration