thermal-electrical co-simulation

**Thermal-electrical co-simulation** is the **coupled simulation flow that solves electrical behavior and temperature evolution in a single feedback loop** - it captures how current creates heat and heat changes electrical parameters, which is essential for realistic signoff in dense modern silicon. **What Is Thermal-electrical co-simulation?** - **Definition**: Joint numerical simulation where circuit equations and thermal equations are solved iteratively. - **Feedback Path**: Electrical power raises temperature, then temperature modifies mobility, resistance, and leakage. - **Scope**: Device, block, and full-chip analysis for hotspots, IR drop, and timing robustness. - **Key Outputs**: Temperature map, performance derate, reliability stress map, and safe operating envelope. **Why Thermal-electrical co-simulation Matters** - **Accuracy**: Separate electrical or thermal only runs miss coupled nonlinear behavior. - **Reliability Signoff**: Aging and wear models require realistic thermal context from co-simulation. - **Power Integrity**: Temperature-driven resistance shifts influence IR drop and timing margins. - **Design Tradeoff Visibility**: Enables objective balance of cooling, frequency targets, and power limits. - **Operational Stability**: Supports robust control loops for throttling and workload scheduling. **How It Is Used in Practice** - **Model Preparation**: Create calibrated compact models for temperature-dependent electrical parameters. - **Iterative Solve**: Run alternating electrical and thermal solves until power and temperature converge. - **Scenario Sweep**: Evaluate worst-case workloads, ambient conditions, and cooling assumptions. Thermal-electrical co-simulation is **the realistic signoff framework for power-dense semiconductor systems** - coupled analysis exposes risks that uncoupled flows frequently miss.

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